This project is a leadership activity funded by a grant from
the Nevada State Department of Education, Workforce Investment Act, Title II
(Adult Education and Family Literacy). There is no discrimination or denial of
participation on the basis of gender, race, national origin, color, disability,
age, or sexual orientation.
Note: This document has been excerpted or adapted from its original format for functional purposes within the warehouse. As a result, the formatting does not match the original. To obtain the full original document and supplementary materials, please visit the state's website at: http://www.literacynet.org/nevada/standards/index.htm
Last Update 9/07
Table of Contents
ACKNOWLEDGEMENTS
OVERVIEW
RESEARCH ON ADULT READING INSTRUCTION
NRS Beginning ABE Literacy Level 1: CASAS
Beginning Literacy/Pre-Beginning Level A
MATH STANDARD 1: NUMBER/NUMBER SENSE
MATH STANDARD 2: NUMBER VALUE AND BASIC
COMPUTATION
MATH STANDARD 3: MEASUREMENT
MATH STANDARD 4: GEOMETRIC STRATEGIES
MATH STANDARD 5: MONEY
NRS Beginning Basic Education Level 2: CASAS
Beginning Basic Skills Level B
MATH STANDARD 1: NUMBER SENSE
MATH STANDARD 2: NUMBER SYSTEMS
MATH STANDARD 3: MATH OPERATIONS
MATH STANDARD 4: WORD PROBLEMS
MATH STANDARD 5: ESTIMATION AND MEASUREMENT
MATH STANDARD 6: GRAPHS, DIAGRAMS, AND
CHARTS
MATH STANDARD 7: PATTERNS, RELATIONS, AND
FUNCTIONS
MATH STANDARD 8: MONEY PROBLEMS
NRS Intermediate Low Basic Education Level
3: CASAS Intermediate Basic Skills Level B
MATH STANDARD 1: WHOLE NUMBERS
MATH STANDARD 2: FRACTIONS
MATH STANDARD 3: DECIMALS
MATH STANDARD 4: ESTIMATION
MATH STANDARD 5: NUMBER THEORIES
MATH STANDARD 6: MEASUREMENT
MATH STANDARD 7: GEOMETRY
MATH STANDARD 8: ALGEBRA
MATH STANDARD 9: GRAPHS, CHARTS, AND MAPS
MATH STANDARD 10: PROBLEM SOLVING
MATH STANDARD 11: CONSUMER MATH SKILLS
NRS Intermediate High Basic Education Level
4: CASAS Advanced Basic Skills Level C
MATH STANDARD 1: FRACTIONS
MATH STANDARD 2: DECIMALS
MATH STANDARD 3: RATIOS AND PROPORTIONS
MATH STANDARD 4: PERCENTS
MATH STANDARD 5: INTEGERS
MATH STANDARD 6: GEOMETRY
MATH STANDARD 7: ESTIMATION
MATH STANDARD 8: MEASUREMENT
MATH STANDARD 9: COMPREHENSION AND
APPLICATION OF THEORIES
MATH STANDARD 10: GRAPHS, CHARTS, AND MAPS
MATH STANDARD 11: CONSUMER MATH SKILLS
Acknowledgements
Acknowledgement and gratitude are given to the following for
their participation in the development of Nevada’s Adult Basic Education Standards:
Claudia Bianca-DeBay, NV ABE CASAS Manager /National
Trainer/ Instructional Resources Specialist and member of the CASAS Consortium
Content Standards Technical Advisory Project Committee
Dawnne Ernette, ABE/ESL Instructor, Truckee Meadows
Community College
Paula Kizis, Literacy Coordinator/Instructor, Truckee Meadows Community College
Linda Schneider-Erger, Literacy Coordinator/Instructor, Truckee Meadows Community College
Sheila Fairbairn, Independent Educational Consultant and
18-24 Initiative GED Online Registration Coordinator, Las Vegas
Martha Gustafson, Senior Program Specialist, CASAS, San Diego, California
CASAS Consortium Content Standards Technical Advisory
Project Committee
National Institute for Literacy
The Nevada ABE Standards were developed in part by the
following states’ existing standards:
Arizona
California
Connecticut
Florida
Iowa
Oregon
Texas
Nevada’s
content standards for adult basic education arose from a need to establish a
common set of content standards for adult education programs throughout Nevada that would define
important basic skills for ABE learners in the areas of reading, writing, mathematics
and computer basic skills.
These standards have been aligned
to the NRS Levels, the CASAS Levels, the CASAS Scale
Score Range,
and the CASAS assessments. The CASAS competencies provide the functional life
skill context through which basic skills can be presented. The competencies
chosen cover generic life skills, employability and workplace skills, as well
as skills needed to function effectively in the community. The CASAS
assessments provide the measure of proficiency in these basic skills.
The CASAS assessments and
competencies work together to create an integrated system for an effective
adult basics skills learning continuum. The alignment of the CASAS level, CASAS
scale score range, and the NRS levels for ABE shows the relationship between each.
Findings from the adult reading
instruction research indicate that adults can experience difficulties with any
of the following crucial aspects of reading: phonemic awareness, fluency, vocabulary, and comprehension.
Phonemic
Awareness: Adult non-readers have virtually no phonemic awareness ability
and are unable to consistently perform almost all phonemic awareness
tasks. They also have poor phonics and word analysis knowledge. Research
evidence indicates that adults can be taught word analysis skills within ABE
programs as well as phonemic awareness (disabled readers are the exception).
Fluency:
Fluency can be problematic for adults learners at any level (beginning,
intermediate, or advanced). Although little research has been done on this
topic, emerging principles indicate that fluency practice may lead to increased
reading achievement using approaches that include repeated reading of words and
passages of text.
Vocabulary:
Although there is scant research on this aspect of reading for adult learners,
a trend is emerging that suggests that the adult learner’s vocabulary knowledge
is dependent on reading ability, and contexts that are more interesting or
engaging (e.g., workplace or family contexts) may be especially useful for
vocabulary instruction.
Comprehension:
Adult learners in ABE programs often have poor functional literacy
comprehension achievement. Although they may be able to recall ideas from
simple stories, they are often unable to integrate and synthesize information
from longer or more complex texts. ABE adults need to be taught specific
comprehension strategies along with instruction in other components of reading
in order to improve reading comprehension. Additionally, the use of adult-orientated
material is an effective way to help improve comprehension.
This synopsis of information was
extracted from the Research-Based Principles for Adult Basic Education Reading
Instruction, authored by John Kruidenier, Ed.D., provided by RMC Research
Corporation, Portsmouth, New Hampshire, produced under the National
Institute for Literacy in September 2002 (www.nifl.gov/partnershipforreading/publications/html/adult_ed_1.html)
.
NRS Beginning ABE Literacy
Level: 1 CASAS Beginning
Literacy/Pre-Beginning Level A
Reading & Math Scale
Score Ranges: 200 and Below; Writing 136-200
CASAS
Assessments: Life Skills Reading 27, 28; LW Reading Forms 81, 81X, 82,82X;
ECS Reading Forms 11, 12; Life Skills Math Forms 31, 32; ECS Math Forms 11,
12
CASAS Skill Level Descriptors: Very
limited ability to read or write. Persons at the upper end of this score range
can read and write numbers and letters and simple words and phrases related to
immediate needs. Can provide very basic personal identification in written form
such as on job applications. Can handle routine entry level jobs that require
only basic written communication.
MATH STANDARD
1: Number / Number Sense
The student will demonstrate pre-computational skills. Upon
exiting the Beginning Literacy/pre-beginning level, the student will:
|
Indicators
|
Suggested CASAS Competencies That
Provide Context for Standards / Indicators
|
|
1. Identify and write numbers 0-100
|
Consumer Economics
*1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
Computation
*6.0.1 Identify
and classify numeric symbols
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
*6.6.1 Convert
units of U.S.
standard measurement and metric system
*6.6.6 Calculate
with units of time
|
|
2. Read and write word for numbers 1-20
|
|
|
3. Count numbers in sequence
|
Computation
*6.0.1 Identify
and classify numeric symbols
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
|
|
4. Interpret basic math vocabulary (more,
less, same as, above, below, between, in, out, over and under)
|
Consumer Economics
1.1.3 Interpret
maps and graphs
1.9.4 Interpret
maps related to driving
Community Resources
*2.2.5 Use maps
relating to travel needs
|
|
5.
Locate numbers on a number line
|
Consumer Economics
1.1.3 Interpret
maps and graphs
*1.1.5 Interpret
temperatures
Computation
6.7.1 Interpret
data given in a line graph
|
|
6.
Identify simple patterns (i.e. group by
shape, color, size)
|
*Currently, there are no
CASAS
competencies that directly
address this
indicator.
|
|
7. Identify simple number schemes
|
Consumer Economics
*1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
Community Resources
*2.3.1 Interpret
clock time
2.5.6 Use
library services
Employment
4.5.3 Demonstrate
ability to use a filing system or other ordered system (e.g., coded or
numbered)
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
Learning to Learn
7.4.6 Use indexes and tables of contents
|
MATH STANDARD
2: Number Value and Basic Computation
The
student will show awareness of ways numbers are represented and used in the
real world and can demonstrate reasonable proficiency in solving addition and
subtraction problems. Upon exiting the Beginning literacy/pre-beginning level,
the student will:
|
Indicators
|
Suggested CASAS Competencies That
Provide Context for Standards / Indicators
|
|
1.
Use ordinal numbers 1st – 10th
|
*Currently, there are no
CASAS
competencies that directly
address this
indicator. However, teachers
and
tutors can integrate the use of ordinal numbers with many
of the mathematics competencies being covered.
|
|
2.
Count by 2’s, 5’s, 10’s
|
Consumer Economics
*1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
6.1.1 Add whole
numbers
6.1.3 Multiply
whole numbers
|
|
3.
Explain the concept of addition
|
Consumer Economics
*1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
1.6.4 Check
sales receipts
Community Resources
2.6.4 Interpret
and order from restaurant and fast food menus, and compute related costs
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
6.0.4 Determine
appropriate operation to apply to a given problem
6.1.1 Add whole
numbers
|
|
4.
Solve 1 and 2 digit addition problems (vertical or horizontal notation)
|
Consumer Economics
*1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
6.1.1 Add whole
numbers
|
|
5.
Explain the concept of subtraction
|
Consumer Economics
*1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
Community Resources
2.6.4 Interpret
and order from restaurant and fast food menus, and compute related costs
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
6.0.4 Determine
appropriate operation to apply to a given problem
6.1.2 Subtract
whole numbers
|
|
6.
Solve 1 and 2 digit subtraction problems (vertical or horizontal notation)
|
Consumer Economics
*1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
6.1.2 Subtract
whole numbers
|
|
7.
Select the right operation to solve addition and subtraction problems
|
Computation
6.0.3 Identify
information needed to solve a given problem
6.0.4 Determine
appropriate operation to apply to a given problem
6.1.1 Add whole
numbers
6.1.2 Subtract
whole numbers
|
|
8.
Solve real world problems using different addition methods (manipulatives,
mental math, paper and pencil)
|
Consumer Economics
*1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
Consumer Economics
1.2.4 Compute
unit pricing
1.3.6 Use
coin-operated machines
1.6.4 Check
sales receipts
Community Resources
2.6.4 Interpret
and order from restaurant and fast food menus, and compute related costs
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
6.0.3 Identify
information needed to solve a given problem
6.1.1 Add whole
numbers
|
|
9.
Add three one digit numbers
|
Consumer Economics
*1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
6.0.3 Identify
information needed to solve a given problem
6.1.1 Add whole
numbers
|
|
10.
Recall addition facts
|
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
6.0.3 Identify
information needed to solve a given problem
6.0.4 Determine
appropriate operation to apply to a given problem
6.1.1 Add whole
numbers
|
|
11.
Recall subtraction facts
|
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
6.0.3 Identify
information needed to solve a given problem
6.0.4 Determine
appropriate operation to apply to a given problem
6.1.2 Subtract
whole numbers
|
MATH STANDARD
3: Measurement
The student will be able to identify, select and use
appropriate measurement tools and be able to apply measurement in realistic
situations. Upon exiting the beginning literacy/pre-beginning level, the
student will:
|
Indicators
|
Suggested CASAS Competencies That
Provide Context for Standards /
Indicators
|
|
1.
Use U.S. units such as inches, pounds, degrees,
and cups to measure quantities
|
Consumer Economics
1.1.1 Interpret
recipes
1.1.3 Interpret
maps and graphs
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
1.1.5 Interpret
temperatures
*1.1.7 Identify
product containers and interpret weight and volume
1.1.9 Interpret
clothing and pattern sizes and use height and weight tables
*1.9.3 Compute
mileage and gasoline consumption
|
|
2.
Use and describe basic U.S. measurement concepts
|
Consumer Economics
1.1.1 Interpret
recipes
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
1.1.5 Interpret
temperatures
*1.1.7 Identify
product containers and interpret weight and volume
Computation
*6.6.4 Use or interpret measurement instruments, such as
rulers, scales, gauges, and dials
|
|
3.
Select appropriate units of measure
|
Consumer Economics
1.1.1 Interpret
recipes
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
*1.9.3 Compute
mileage and gasoline consumption
Computation
*6.6.4 Use or
interpret measurement instruments, such as rulers, scales, gauges, and dials
|
|
4.
Write today’s date (month, day, year)
|
Basic Communication
0.2.2 Complete
a personal information form
0.2.3 Interpret
or write a personal note, invitation, or letter
Consumer economics
*1.8.2 Interpret
the procedures and forms associated with banking services, including writing
checks
Community Resources
2.1.7 Take and
interpret telephone messages, leave messages on answering machines, and
interpret recorded messages
*2.3.2 Identify
the months of the year and the days of the week
Health
3.2.1 Fill out
medical health history forms
Employment
4.1.2 Follow
procedures for applying for a job, including interpreting and completing job
applications, résumés, and letters of application
|
|
5.
Tell time
|
Community Resources
*2.2.4 Interpret
transportation schedules and fares
*2.3.1 Interpret
clock time
2.6.2 Locate information
in TV, movie, and other recreational listings
Health
3.1.2 Identify
information necessary to make or keep medical and dental appointments
Computation
*6.6.6 Calculate
with units of time
|
MATH STANDARD 4: Geometric Shapes
The
student will identify and describe different geometric shapes. Upon exiting the beginning
literacy/pre-beginning level, the student will:
|
Indicators
|
Suggested CASAS Competencies That Provide
Context for Standards /
Indicators
|
|
1.
Identify a square, circle, sphere, rectangle, cube, and triangle
|
Consumer Economics
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
Computation
*6.6.2 Recognize,
use, and measure linear dimensions, geometric shapes, or angles
|
MATH STANDARD
5: Money
The
student will identify U.S.
currency and solve money problems. Upon exiting the beginning
literacy/pre-beginning level, the student will:
|
Indicators
|
Suggested
CASAS Competencies That Provide Context for Standards /
Indicators
|
|
1.
Identify coins and currency
|
Consumer Economics
*1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
1.3.6 Use
coin-operated machines
Community Resources
2.1.6 Interpret
information about using a pay telephone
|
|
2.
Identify sets of coins equivalent to $.25 or
less
|
Consumer Economics
*1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
1.3.6 Use
coin-operated machines
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
|
|
3.
Read and write numerals for money
|
Consumer Economics
*1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
*1.2.1 Interpret
advertisements, labels, charts, and price tags in selecting goods and
services
1.3.5 Use
coupons to purchase goods and services
1.3.6 Use
coin-operated machines
Consumer Economics
*1.8.2 Interpret
the procedures and forms associated with banking services, including writing
checks
Community Resources
2.4.2 Interpret
postal rates and types of mailing services
2.6.4 Interpret
and order from restaurant and fast food menus, and compute related costs
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Computation
*6.0.1 Identify
and classify numeric symbols
|
|
4.
Use addition to solve real world money problems less than $1.00
|
Consumer Economics
*1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
1.3.6 Use
coin-operated machines
Community Resources
*2.1.6 Interpret
information about using a pay telephone
2.6.4 Interpret
and order from restaurant and fast food menus, and compute related costs
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
6.1.1 Add whole
numbers
|
|
5.
Recognize monetary symbols
|
Consumer Economics
*1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
*1.2.1 Interpret
advertisements, labels, charts, and price tags in selecting goods and
services
1.3.6 Use
coin-operated machines
1.6.4 Check
sales receipts
*1.8.2 Interpret
the procedures and forms associated with banking services, including writing
checks
Community Resources
2.6.4 Interpret
and order from restaurant and fast food menus, and compute related costs
|
NRS Beginning Basic Education Level 2 CASAS Beginning Basic Skills Level B
CASAS Reading &
Math Scale Score Ranges: 201 -210; Writing 201 - 225
CASAS Assessments: LW
Reading 81x, 82x, 83, 84; Life Skills Math 33, 34; ECS Reading 13, 14, 114; ECS
Math 13, 14; WLS Reading and Math 213, 214
CASAS Skill Level Descriptors: Can fill out simple
forms requiring basic personal information, write a simple list or telephone
message, calculate a single simple operation when numbers are given, and make
simple change. Can read and interpret simple sentences on familiar topics. Can
read and interpret simple directions, signs, maps, and simple menus. Can handle
entry level jobs that involve some simple written communication.
MATH STANDARD
1: Number Sense
The student will demonstrate a basic understanding of
numbers and number sense that includes place value, counting, and the
application of numbers using real life representations. Upon exiting the
beginning basic level, student will:
|
Indicators
|
Suggested CASAS Competencies That
Provide Context for Standards /
Indicators
|
|
1.
Identify the names, numbers & words for whole numbers less than 100
|
Consumer Economics
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
*1.2.1 Interpret
advertisements, labels, charts, and price tags in selecting goods and
services
Community Resources
2.1.1 Use the
telephone directory and related publications to locate information
*2.2.4 Interpret
transportation schedules and fares
*2.3.1 Interpret
clock time
2.3.2 Identify
the months of the year and the days of the week
*2.6.4 Interpret
and order from restaurant and fast food menus, and compute related costs
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Computation
*6.0.1 Identify
and classify numeric symbols
Computation
*6.6.1 Convert
units of U.S.
standard measurement and metric system
|
|
2.
Explain the relative size of whole numbers between 0 - 100
|
Consumer Economics
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
*1.2.2 Compare
price or quality to determine the best buys for goods and services
Employment
*4.4.6 Interpret
work specifications and quality standards
Computation
*6.0.1 Identify
and classify numeric symbols
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
|
|
3.
Use objects to represent whole numbers, commonly used fractions, or mixed
numbers and relates these numbers to real world problems (1/4 pizza, ½ sandwich, ½ pie)
|
Consumer Economics
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
*1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
Community Resources
*2.3.1 Interpret
clock time
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
Computation
*6.1.1 Add
whole numbers
*6.1.2 Subtract
whole numbers
*6.3.1 Add
common or mixed fractions
*6.3.2 Subtract
common or mixed fractions
*6.6.1 Convert
units of U.S.
standard measurement and metric system
*6.6.6 Calculate
with units of time
*6.7.4 Interpret
data given in a circle graph
|
MATH STANDARD 2:
Number Systems
The student will demonstrate understanding of place value,
count with understanding, and discriminate between even and odd numbers. Upon
exiting the beginning basic level, the student will:
|
Indicators
|
Suggested CASAS Competencies That
Provide Context for Standards /
Indicators
|
|
1.
Count by 2s, 3s, 5s, 10s, 25s and 50s
|
Consumer Economics
*1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
*6.1.1 Add
whole numbers
*6.1.3 Multiply
whole numbers
|
|
2.
Interpret place value for ones, tens, hundreds, tenths, and hundredths
|
Consumer Economics
*1.1.5 Interpret
temperatures
*1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
*1.2.1 Interpret
advertisements, labels, charts, and price tags in selecting goods and
services
1.6.4 Check
sales receipts
Community Resources
*2.6.4
Interpret and order from restaurant and fast food menus, and compute related
costs
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
|
|
3.
Identify numbers as even or odd
|
Computation
*6.0.1 Identify
and classify numeric symbols
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
*6.1.1 Add
whole numbers
*6.1.3 Multiply
whole numbers
*6.1.4 Divide
whole numbers
|
MATH STANDARD 3: Math
Operations
The student will explain the opposite operations of
addition/subtraction and multiplication/division and be able to solve real
world problems applying these four operations when appropriate. Upon exiting
the beginning basic level, the student will:
|
Indicators
|
Suggested CASAS Competencies That
Provide Context for Standards /
Indicators
|
|
1.
Explain how addition and subtraction are opposite operations
|
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
6.0.3 Identify
information needed to solve a given problem
*6.0.4 Determine
appropriate operation to apply to a given problem
*6.1.1 Add
whole numbers
*6.1.2 Subtract
whole numbers
|
|
2.
Solve real world problems using different addition methods (manipulatives,
mental math, paper and pencil)
|
*Although there are no CASAS competencies directly addressing
this indicator, the following competencies provide teachers and tutors the
opportunity to teach a variety of addition methods.
Consumer Economics
*1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
1.2.4 Compute
unit pricing
1.3.6 Use
coin-operated machines
1.6.4 Check
sales receipts
Community Resources
*2.6.4 Interpret
and order from restaurant and fast food menus, and compute related costs
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
6.0.3 Identify
information needed to solve a given problem
*6.1.1 Add
whole numbers
|
|
3.
Solve real world problems using different subtraction methods (manipulatives, mental math, paper
and pencil)
|
*Although there are no CASAS competencies directly addressing
this indicator, the following competencies provide teachers and tutors the
opportunity to teach a variety of subtraction methods.
Consumer Economics
*1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
1.2.4 Compute
unit pricing
1.3.6 Use
coin-operated machines
1.6.4 Check
sales receipts
Community Resources
2.6.4 Interpret
and order from restaurant and fast food menus, and compute related costs
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
6.0.3 Identify
information needed to solve a given problem
*6.1.2 Subtract
whole numbers
|
|
4.
Explain the concept of multiplication
|
Consumer Economics
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
*1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
1.2.4 Compute
unit pricing
*1.9.3 Compute
mileage and gasoline consumption
Health
*3.5.1
Interpret nutritional and related information listed on food labels
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
*4.4.6 Interpret
work specifications and quality standards
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number sequencing
*6.0.4 Determine
appropriate operation to apply to a given problem
Computation
*6.1.3 Multiply
whole numbers
|
|
5.
Identify multiplication vocabulary and symbol
|
Computation
*6.0.4 Determine
appropriate operation to apply to a given problem
6.0.5 Demonstrate
use of a calculator
*6.1.3 Multiply
whole numbers
|
|
6.
Recall multiplication facts
|
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
*6.1.3 Multiply
whole numbers
|
|
7.
Multiply two digit numbers by a one digit number; multiplies three one digit
numbers
|
Consumer Economics
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
Health
*3.5.1 Interpret
nutritional and related information listed on food labels
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
*4.4.6 Interpret
work specifications and quality standards
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
6.0.3 Identify
information needed to solve a given problem
Computation
6.0.5 Demonstrate
use of a calculator
*6.1.3 Multiply
whole numbers
|
|
8.
Explain the concept of division
|
Consumer Economics
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
*1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
1.2.4 Compute
unit pricing
*1.9.3 Compute
mileage and gasoline consumption
Health
*3.5.1 Interpret
nutritional and related information listed on food labels
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
*4.4.6 Interpret
work specifications and quality standards
Computation
*6.0.2 Count and
associate numbers with quantities, including recognizing correct number
sequencing
*6.0.4 Determine
appropriate operation to apply to a given problem
*6.1.4 Divide
whole numbers
|
|
9.
Identify division vocabulary and symbol
|
Computation
*6.0.4 Determine
appropriate operation to apply to a given problem
6.0.5
Demonstrate use of a calculator
*6.1.4 Divide
whole numbers
|
|
10.
Describe how multiplication and division are opposite operations
|
Computation
6.0.3 Identify
information needed to solve a given problem
*6.0.4
Determine appropriate operation to apply to a given problem
*6.1.3 Multiply
whole numbers
*6.1.4 Divide
whole numbers
|
|
11.
Recall division facts
|
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
*6.1.4 Divide
whole numbers
|
|
12.
Divide a two digit number by a one digit number with and without remainders
|
Consumer Economics
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
Health
*3.5.1 Interpret
nutritional and related information listed on food labels
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
*4.4.6 Interpret
work specifications and quality standards
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
6.0.3 Identify
information needed to solve a given problem
6.0.5 Demonstrate
use of a calculator
*6.1.4 Divide
whole number
|
MATH STANDARDS
4: Word Problems
The student will analyze and solve word problems using one
of the selected four operations. Upon exiting the beginning basic level, the
student will:
|
Indicators
|
Suggested CASAS
Competencies That Provide Context for Standards /
Indicators
|
|
1.
Recognize key words in choosing operations to solve problems (add, plus,
total, sum, subtract, difference, left, remaining, multiply, times, several,
divide, each, per)
|
Computation
6.0.3 Identify
information needed to solve a given problem
*6.0.4 Determine
appropriate operation to apply to a given problem
*6.1.1 Add
whole numbers
*6.1.2 Subtract
whole numbers
*6.1.3 Multiply
whole numbers
*6.1.4 Divide
whole number
|
|
2.
Use appropriate steps to solve problems
(e.g., determine
the question, identify the problem,
decide
on the operation, work and check,
make
certain the answer is logical)
|
Computation
6.0.3 Identify
information needed to solve a given problem
*6.0.4 Determine
appropriate operation to apply to a given problem
*6.9.2 Estimate
answers
|
|
3.
Recognize that all math has only four operations (addition, subtraction,
multiplication, and division)
|
Computation
*6.0.4 Determine
appropriate operation to apply to a given problem
|
|
4.
Select the appropriate operation to solve specific problems
|
Computation
6.0.3 Identify
information needed to solve a given problem
*6.0.4 Determine
appropriate operation to apply to a given problem
|
MATH STANDARD
5: Estimation and Measurement
The student will round numbers to estimate answers to
problems, identify the concept and tools for U.S. measurement, and articulate
basic time for half hour, quarter hour and minutes. Upon exiting the beginning basic level, the student will:
|
Indicators
|
Suggested CASAS
Competencies That Provide Context for Standards /
Indicators
|
|
1.
Round numbers to 10’s and 100’s
|
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
*4.4.6 Interpret
work specifications and quality standards
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
*6.7.5 Compute
averages, medians, or modes
*6.9.2 Estimate
answers
|
|
2.
Use rounding techniques to estimate the answers to addition or subtraction problems;
then calculates the answers
|
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
6.0.3 Identify
information needed to solve a given problem
*6.0.4 Determine
appropriate operation to apply to a given problem
*6.9.2 Estimate answers
|
|
3.
Identify the larger of two U.S.
measurements
|
Consumer Economics
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
*1.1.7 Identify
product containers and interpret weight and volume
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
*6.6.4 Use or
interpret measurement instruments, such as rulers, scales, gauges, and dials
6.6.7 Solve
measurement problems in stipulated situations
|
|
4.
Identify common units of U.S.
measurement for length, capacity, weight, and temperature
|
Consumer Economics
1.1.1 Interpret
recipes
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
*1.1.5 Interpret
temperatures
*1.1.7 Identify
product containers and interpret weight and volume
Computation
*6.6.4 Use or
interpret measurement instruments, such as rulers, scales, gauges, and dials
|
|
5.
Identify appropriate tools for measuring length, capacity, weight, and
temperature
|
Consumer Economics
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
Computation
*6.6.4 Use or
interpret measurement instruments, such as rulers, scales, gauges, and dials
|
|
6.
Tell time on the half hour, quarter hour, and in minutes
|
Community Resources
*2.2.4 Interpret
transportation schedules and fares
*2.3.1 Interpret
clock time
2.6.2 Locate
information in TV, movie, and other recreational listings
Computation
*6.6.6 Calculate
with units of time
|
MATH STANDARD 6:
Graphs, Diagrams and Charts
The student will interpret and draw graphs, diagrams and
charts to display information. Upon exiting the beginning basic level, the
student will:
|
Indicators
|
Suggested CASAS
Competencies That Provide Context for Standards /
Indicators
|
|
1.
Interpret a simple bar or line graph
|
Consumer Economics
*1.1.3 Interpret
maps and graphs
*1.1.5 Interpret
temperatures
Computation
*6.6.4 Use or
interpret measurement instruments, such as rulers, scales, gauges, and dials
6.7.1 Interpret
data given in a line graph
6.7.2 Interpret
data given in a bar graph
|
|
2.
Solve problems by creating graphs or charts
|
Computation
6.0.3 Identify
information needed to solve a given problem
*6.6.2 Recognize,
use, and measure linear dimensions, geometric shapes, or angles
6.6.7 Solve
measurement problems in stipulated situations
|
|
3.
Interpret information from a chart or table
|
Consumer Economics
1.1.9 Interpret
clothing and pattern sizes and use height and weight tables
*1.2.1 Interpret
advertisements, labels, charts, and price tags in selecting goods and
services
Community Resources
*2.2.4 Interpret
transportation schedules and fares
2.4.2 Interpret
postal rates and types of mailing services
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
*4.4.3 Interpret
job-related signs, charts, diagrams, forms, and procedures, and record
information on forms, charts, checklists, etc.
|
|
4.
Interpret information from a diagram
|
Employment
*4.4.3 Interpret
job-related signs, charts, diagrams, forms, and procedures, and record
information on forms, charts, checklists, etc.
Computation
*6.6.5 Interpret
diagrams, illustrations, and scale drawings
Learning to Learn
7.4.8 Interpret
visual representations, such as symbols, blueprints, flowcharts, and
schematics
|
The student will identify and describe the characteristics
of different patterns and symbols and be able to complete pattern and number
sequences. Upon exiting the beginning basic level, the student will:
|
Indicators
|
Suggested CASAS
Competencies That Provide Context for Standards /
Indicators
|
|
1.
Identify different patterns and relationships using patterns and symbols
(e.g., if the function of x=3, x + 1 = 4)
|
Employment
*4.4.3 Interpret
job-related signs, charts, diagrams, forms, and procedures, and record
information on forms, charts, checklists, etc.
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
|
|
2.
Identify symbols for equal, not equal, less than & greater than
|
*Currently, there are no
CASAS
competencies that directly
address this
indicator, however, teachers
and
tutors can integrate symbols
and
meanings with most any of the math competencies being
covered at any given time.
|
|
3.
Identify the next item in a pattern or number sequence
|
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
|
|
4.
Identify the missing item of a pattern or number sequence
|
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
|
|
5.
Identify and describe the characteristics of basic two and three dimensional
shapes
|
Computation
*6.6.2 Recognize,
use, and measure linear dimensions, geometric shapes, or angles
|
|
6.
Identify and use basic concepts of spatial relationships and symmetry
|
Computation
*6.6.2 Recognize,
use, and measure linear dimensions, geometric shapes, or angles
6.6.8 Interpret
mechanical concepts or spatial relationships
|
|
7.
Use objects to perform geometric transformations including flips, slides and
turns
|
*Currently, there are no
CASAS
competencies that directly
address this
indicator, however, teachers
and
tutors can use a variety of visuals to model geometric
transformations.
|
MATH STANDARD
8: Money Problems
The student will count currency and solve real world
problems that involve making change and comparisons. Upon exiting the beginning
basic level, the student will:
|
Indicators
|
Suggested CASAS Competencies That
Provide Context for Standards /
Indicators
|
|
1.
Count coins and currency
|
Consumer Economics
*1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
|
|
2.
Determine equal amounts of money up to $20.00 using coins and currency
|
Consumer Economics
*1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
1.3.6 Use
coin-operated machines
Community Resources
2.4.4 Purchase
stamps and other postal items and services
*2.6.4 Interpret
and order from restaurant and fast food menus, and compute related costs
|
|
3.
Solve word problems making change from
$1.00 and $20 bills
|
Consumer Economics
*1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)1.3.6 Use coin-operated machines
Computation
6.0.3 Identify
information needed to solve a given problem
*6.0.4 Determine appropriate operation to apply to a given problem
|
|
4.
Solve word problems involving comparison shopping of less than $10
|
Consumer Economics
*1.2.2 Compare
price or quality to determine the best buys for goods and services
*1.2.3 Compute
discounts
1.2.4 Compute unit
pricing
Computation
6.0.3 Identify
information needed to solve a given problem
*6.0.4 Determine appropriate operation to apply to a given problem
|
NRS Intermediate Low Basic
Education Level 3: CASAS Intermediate Basic Skills Level B
CASAS Reading &
Math Scale Score Ranges: 211 – 220; Writing 226 - 242
CASAS Assessments:
LW Reading 83, 84; Life Skills Math 33, 34; ECS Reading 13, 14, 114; ECS Math
13, 14; WLS Reading and Math 213, 214
CASAS Skill Level Descriptors: Can handle basic
reading, writing, and computational tasks related to life roles. Can read and
interpret simplified and some authentic materials on familiar topics. Can
interpret simple charts, graphs, and labels; interpret a basic payroll stub;
follow basic written instructions and diagrams. Can complete a simple order
form and do calculations; fill out basic medical information forms and basic
job applications; follow basic oral and written instructions and diagrams. Can
handle jobs and/or job training that involve following basic oral or written
instructions and diagrams if they can be clarified orally.
MATH STANDARD 1: Whole Numbers
The student will develop and apply math strategies to a
variety of situations. Upon exiting the low intermediate level, the student
will:
|
Indicators
|
Suggested CASAS Competencies That
Provide Context for Standards/
Indicators
|
|
1. Name whole numbers up to seven digits
|
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Government and Law
5.4.1 Interpret
income tax forms
*5.4.3 Interpret
tax tables
Computation
*6.0.1 Identify
and classify numeric symbols
|
|
2. Identify place values of numbers
|
Consumer Economics
*1.1.5 Interpret
temperatures
*1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
*1.2.1 Interpret
advertisements, labels, charts, and price tags in selecting goods and
services
1.6.4 Check
sales receipts
*1.8.2 Interpret
the procedures and forms associated with banking services, including writing
checks
Community Resources
*2.6.4 Interpret
and order from restaurant and fast food menus, and compute related costs
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
*4.4.6 Interpret
work specifications and quality standards
Government and Law
5.4.1 Interpret
income tax forms
*5.4.2 Compute
or define sales tax
*5.4.3 Interpret
tax tables
Computation
*6.7.5 Compute
averages, medians, or modes
|
|
3. Identify verbal names, written word
names and standard numbers with whole numbers
|
Consumer Economics
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
*1.2.1 Interpret
advertisements, labels, charts, and price tags in selecting goods and
services
Community Resources
2.1.1 Use the
telephone directory and related publications to locate information
*2.2.4 Interpret
transportation schedules and fares
*2.3.1 Interpret
clock time
2.3.2 Identify
the months of the year and the days of the week
*2.6.4 Interpret
and order from restaurant and fast food menus, and compute related costs
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Computation
*6.0.1 Identify
and classify numeric symbols
*6.6.1 Convert
units of U.S.
standard measurement and metric system
|
|
4. Interpret the relative size of a whole
number
|
Consumer Economics
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
*1.2.2 Compare
price or quality to determine the best buys for goods and services
Employment
*4.4.6 Interpret
work specifications and quality standards
Computation
*6.0.1 Identify
and classify numeric symbols
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing |
|
5. Change numbers to written word names
|
*Currently, there are no
CASAS
competencies that directly
address this
indicator, however, teachers
and
tutors can integrate writing word names for numbers with
most any math competency being covered at any given time. |
|
Add & Subtract Whole Numbers
|
|
|
6.
Use expanded notation to show that whole numbers can be written in different
ways
(e.g. 574 = 500 + 70 + 4)
|
*Currently, there are no
CASAS
competencies that directly
address this
indicator, however, teachers
and
tutors can integrate expanded notation with most any math
competency being covered at any given time.
|
|
7. Add a 1, 2, or 3 digit number to a 3
digit number
|
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Government and Law
5.4.1 Interpret
income tax forms
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
*6.1.1 Add
whole numbers
|
|
8. Add three or four 3 digit numbers
|
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Government and Law
5.4.1 Interpret
income tax forms
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
*6.1.1 Add
whole numbers
|
|
9. Add three or four 4 digit numbers
|
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Government and Law
5.4.1 Interpret
income tax forms
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
*6.1.1 Add
whole numbers
|
|
10. Subtract 3 digit numbers
|
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Government and Law
5.4.1 Interpret
income tax forms
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
*6.1.2 Subtract
whole numbers
|
|
11. Subtract 4 digit numbers
|
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Government and Law
5.4.1 Interpret
income tax forms
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
*6.1.2 Subtract
whole numbers
|
|
12. Subtract 5 digit numbers
|
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Government and Law
5.4.1 Interpret
income tax forms
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
*6.1.2 Subtract
whole numbers
|
|
13. Borrow from numbers containing zeros
|
Computation
*6.1.2 Subtract
whole numbers
|
|
Multiply Whole Numbers
|
|
|
14. Multiply two digit numbers by 2 digit
number
|
Consumer Economics
*1.2.2 Compare
price or quality to determine the best buys for goods and services
Community Resources
*2.6.4 Interpret
and order from restaurant and fast food menus, and compute related costs
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Government and Law
5.4.1 Interpret
income tax forms
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
*6.1.3 Multiply
whole numbers
|
|
15. Multiply three digit numbers by a 1,
2, or 3 digit number
|
Consumer Economics
*1.2.2 Compare
price or quality to determine the best buys for goods and services
Community Resources
*2.6.4 Interpret
and order from restaurant and fast food menus, and compute related costs
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Government and Law
5.4.1 Interpret
income tax forms
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
*6.1.3 Multiply
whole numbers
|
|
16. Multiply four digit numbers by a 1, 2,
or 3 digit number
|
Consumer Economics
*1.2.2 Compare
price or quality to determine the best buys for goods and services
Community Resources
*2.6.4 Interpret
and order from restaurant and fast food menus, and compute related costs
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Government and Law
5.4.1 Interpret
income tax forms
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
*6.1.3 Multiply
whole numbers
|
|
17. Multiply five digit numbers by a 1, 2,
or 3 digit number
|
Consumer Economics
*1.2.2 Compare
price or quality to determine the best buys for goods and services
Community Resources
*2.6.4 Interpret
and order from restaurant and fast food menus, and compute related costs
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Government and Law
5.4.1 Interpret
income tax forms
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
*6.1.3 Multiply
whole numbers
*6.7.5 Compare
averages, medians, or modes
|
|
18. Demonstrate proof method of
multiplication (e.g. 25 x 33 = 33 x 25)
|
Computation
*6.1.3 Multiply
whole numbers
|
|
Divide Whole Numbers
|
|
|
19. Divide three, four, or five digit
numbers by a 1 digit number with and without remainders
|
Consumer Economics
*1.2.2 Compare
price or quality to determine the best buys for goods and services
Community Resources
*2.6.4 Interpret
and order from restaurant and fast food menus, and compute related costs
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Government and Law
5.4.1 Interpret
income tax forms
Computation
*6.1.4 Divide
whole numbers
*6.7.5 Compare
averages, medians, or modes
|
|
20. Divide three, four, or five digit
numbers by a 2 digit number with and without remainders
|
Consumer Economics
*1.2.2 Compare
price or quality to determine the best buys for goods and services
Community Resources
*2.6.4 Interpret
and order from restaurant and fast food menus, and compute related costs
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Government and Law
5.4.1 Interpret
income tax forms
Computation
*6.1.4 Divide
whole numbers
*6.7.5 Compare
averages, medians, or modes
|
|
21. Divide by a 3 digit number with and
without remainders
|
Consumer Economics
*1.2.2 Compare
price or quality to determine the best buys for goods and services
Community Resources
*2.6.4 Interpret
and order from restaurant and fast food menus, and compute related costs
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Government and Law
5.4.1 Interpret
income tax forms
Computation
*6.1.4 Divide
whole numbers
*6.7.5 Compare
averages, medians, or modes
|
|
22. Divide from fractional notation (e.g.,
728/14)
|
Computation
*6.1.4 Divide
whole numbers
*6.3.4 Divide
common or mixed fractions
|
|
23. Proves long division problems (multiply divisor x quotient + remainder)
|
Computation
*6.1.1 Add
whole numbers
*6.1.3 Multiply
whole numbers
*6.1.5 Perform
multiple operations using whole numbers
|
MATH STANDARD 2:
Fractions
The student will identify, convert. reduce, and perform
operations with fractions. Upon exiting the intermediate low level, the student
will:
|
Indicators
|
Suggested CASAS Competencies That
Provide Context for Standards/
Indicators
|
|
1. Identify verbal names, written word
names, and standard numbers of commonly used fractions
|
Computation
*6.6.1 Convert
units of U.S.
standard measurement and metric system
*6.6.4 Use or
interpret measurement instruments, such as rulers, scales, gauges, and dials
*6.6.5 Interpret
diagrams, illustrations, and scale drawings
*6.7.4 Interpret
data given in a circle graph
|
|
2. Interpret the relative size of commonly
used fractions
|
Consumer Economics
1.1.1 Interpret
recipes
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
*6.6.5 Interpret
diagrams, illustrations, and scale drawings
|
|
3. Solve word problems that create
fractions
|
Consumer Economics
1.1.1 Interpret
recipes
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
Computation
*1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Government and Law
*5.4.2 Compute
or define sales tax
Computation
6.0.3 Identify
information needed to solve a given problem
*6.0.4 Determine
appropriate operation to apply to a given problem
*6.6.6 Calculate
with units of time
|
|
4. Write word numbers as fractions
|
Consumer Economics
1.1.1 Interpret
recipes
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
*1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
Employment
*4.2.1
Interpret wages, wage deductions, benefits, and timekeeping forms
|
|
5. Understand numerators and denominators
|
Consumer Economics
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
Employment
*4.4.6 Interpret
work specifications and quality standards
Computation
6.3.5 Perform
multiple operations using common or mixed fractions
Computation
*6.6.4 Use or
interpret measurement instruments, such as rulers, scales, gauges, and dials
|
|
6. Identify proper, improper, and mixed
fractions
|
Consumer Economics
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width, perimeter,
area, volume, height, or weight
Employment
*4.4.6 Interpret
work specifications and quality standards
Computation
6.3.5 Perform
multiple operations using common or mixed fractions
*6.6.4 Use or
interpret measurement instruments, such as rulers, scales, gauges, and dials
|
|
7. Convert from mixed to improper
fractions
|
Computation
6.3.5 Perform
multiple operations using common or mixed fractions
|
|
8. Convert from improper to mixed
fractions
|
Computation
6.3.5 Perform
multiple operations using common or mixed fractions
|
|
9. Reduce common fractions
|
Computation
6.3.7 Identify
or calculate equivalent fractions
|
|
10. Convert fractions to equivalent
fractions
|
Computation
6.3.7 Identify
or calculate equivalent fractions
|
|
11. Add fractions with common denominators
|
Computation
*6.3.1 Add
common or mixed fractions
|
|
12. Subtract fractions with common
denominators
|
Computation
*6.3.2 Subtract
common or mixed fractions
|
|
13. Multiply proper fractions by whole
numbers
|
Computation
*6.3.3 Multiply
common or mixed fractions
|
MATH STANDARD 3: Decimals
The student will identify, compare sizes of, convert, and
perform operations with decimals. Upon exiting the intermediate low level, the
student will:
|
Indicators
|
Suggested CASAS Competencies That
Provide Context for Standards/
Indicators
|
|
1. Identify verbal names, written word
names, and standard numbers with decimals, including tenths, hundredths, and
thousandths
|
Consumer Economics
*1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
Community Resources
*2.2.4 Interpret
transportation schedules and fares
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Government and Law
*5.4.2 Compute
or define sales tax
Computation
*6.6.1 Convert
units of U.S.
standard measurement and metric system
|
|
2. Analyze the relative size of decimals
|
Consumer Economics
1.1.2 Use the
metric system
*1.1.5 Interpret
temperatures
*1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
*1.2.2 Compare
price or quality to determine the best buys for goods and services
Community Resources
*2.6.4 Interpret
and order from restaurant and fast food menus, and compute related costs
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
|
|
3. Solve word problems that create
decimals
|
Consumer Economics
*1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
*1.8.2 Interpret
the procedures and forms associated with banking services, including writing
checks
Community Resources
*2.2.4 Interpret
transportation schedules and fares
*2.6.4 Interpret
and order from restaurant and fast food menus, and compute related costs
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Government and Law
*5.4.2 Compute
or define sales tax
*5.4.3
Interpret tax tables
|
|
4. Articulate that decimals can be
represented in other equivalent forms
|
Consumer Economics
*1.2.2 Compare
price or quality to determine the best buys for goods and services
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Government and Law
5.4.1 Interpret
income tax forms
Computation
6.2.6 Convert
decimal fractions to common fractions or percents
6.3.6 Convert
common or mixed fractions to decimal fractions or percents
|
|
5. Convert common fractions to decimals
|
Computation
6.3.6 Convert
common or mixed fractions to decimal fractions or percents
|
|
6. Convert decimals to common fractions
|
Computation
6.2.6 Convert
decimal fractions to common fractions or percents
|
|
7. Add decimals
|
Computation
*6.2.1 Add
decimal fractions
|
|
8. Subtract decimals
|
Computation
*6.2.2 Subtract
decimal fractions
|
|
9. Select appropriate operation to solve
specific problems involving decimals
|
Computation
6.0.3 Identify
information needed to solve a given problem
*6.0.4 Determine
appropriate operation to apply to a given problem
6.2.6 Convert
decimal fractions to common fractions or percents
|
|
10. Analyze the relationship between money
and decimals
|
Consumer Economics
*1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
Consumer Economics
*1.8.2 Interpret
the procedures and forms associated with banking services, including writing
checks
Community Resources
*2.2.4 Interpret
transportation schedules and fares
*2.6.4 Interpret
and order from restaurant and fast food menus, and compute related costs
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Government and Law
*5.4.2 Compute
or define sales tax
*5.4.3 Interpret
tax tables
|
|
11. Solve word problems involving decimals
|
Consumer Economics
*1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
*1.8.2 Interpret
the procedures and forms associated with banking services, including writing
checks
Community Resources
*2.2.4 Interpret
transportation schedules and fares
*2.6.4 Interpret
and order from restaurant and fast food menus, and compute related costs
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Government and Law
*5.4.2 Compute
or define sales tax
*5.4.3 Interpret
tax tables
|
MATH STANDARD 4:
Estimation
The student will compare and use different estimation
strategies to round numbers and solve word problems. Upon exiting the
intermediate low level, the student will:
|
Indicators
|
Suggested CASAS Competencies That
Provide Context for Standards/
Indicators
|
|
1. Use different estimation strategies to
solve word problems; checks reasonableness of calculations
|
Computation
*6.9.2 Estimate
answers
|
|
2. Solve word problems by estimating
measurements such as length, temperature and volume and compares the results
to actual measurements
|
Consumer Economics
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
*1.1.5 Interpret
temperatures
Computation
6.0.3 Identify
information needed to solve a given problem
*6.0.4 Determine
appropriate operation to apply to a given problem
*6.9.2 Estimate
answers
|
|
3. Round a whole number less than one
million to any designated place
|
Consumer Economics
*1.8.2 Interpret
the procedures and forms associated with banking services, including writing
checks
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
*4.4.6 Interpret
work specifications and quality standards
Government and Law
5.4.1 Interpret
income tax forms
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
*6.7.5 Compute
averages, medians, or modes
*6.9.2 Estimate
answers
|
|
4. Round fractions and mixed numbers to
the nearest whole numbers
|
Consumer Economics
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Computation
*6.3.1 Add
common or mixed fractions
*6.3.2 Subtract
common or mixed fractions
*6.7.4 Interpret
data given in a circle graph
*6.9.2 Estimate
answers
|
|
5. Round to estimate addition or
subtraction measurement problems; then determines the actual result
|
Consumer Economics
1.1.2 Use the
metric system
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
Computation
6.0.3 Identify
information needed to solve a given problem
*6.0.4 Determine
appropriate operation to apply to a given problem
*6.9.2 Estimate
answers
|
MATH STANDARD
5: Number Theories
The student will demonstrate basic understanding of number
theory concepts that include communicative and associative properties. Upon
exiting the intermediate low level, the student will:
MATH STANDARD 6: Measurement
The student will
identify and use various formulas and measurement tools that include
differentiating between measures and applying measures in realistic situations.
Upon exiting the intermediate low level, the student will:
|
Indicator
|
Suggested CASAS Competencies That
Provide Context for Standards/
Indicators
|
|
1. Write abbreviations for length, weight,
and capacity measurements in the U.S.
system
|
Consumer
Economics
*1.1.4
Select, compute, or interpret appropriate standard measurement for
length, width, perimeter, area, volume, height, or weight
|
|
2. Identify equal measures defined in different
units
|
Consumer
Economics
*1.1.4
Select, compute, or interpret appropriate standard measurement for
length, width, perimeter, area, volume, height, or weight
Computation
*6.6.2
Recognize, use, and measure linear dimensions, geometric shapes, or angles
|
|
3. Measure to the nearest ¼ inch on a
12-inch ruler
|
Consumer
Economics
*1.1.4
Select, compute, or interpret appropriate standard measurement for
length, width, perimeter, area, volume, height, or weight
Computation
*6.6.2
Recognize, use, and measure linear dimensions, geometric shapes, or angles
*6.6.4
Use or interpret measurement instruments, such as rulers, scales,
gauges, and dials
|
|
4. Solve measurement problems in the U.S.
system using addition and subtraction with no conversion
|
Consumer
Economics
*1.1.4
Select, compute, or interpret appropriate standard measurement for
length, width, perimeter, area, volume, height, or weight
Computation
6.0.3
Identify information needed to solve a given problem
*6.0.4
Determine appropriate operation to apply to a given problem
*6.1.1
Add whole numbers
*6.1.2
Subtract whole numbers
*6.2.1
Add decimal fractions
*6.2.2
Subtract decimal fractions
*6.3.1
Add common or mixed fractions
*6.3.2
Subtract common or mixed fractions
|
|
5. Determine temperature using Fahrenheit
or Celsius thermometer
|
Consumer
Economics
*1.1.5
Interpret temperatures
|
|
6. Determine capacity by measuring in
teaspoons, tablespoons, cups, pints, quarts, gallons, and liters
|
Consumer
Economics
1.1.1
Interpret recipes
*1.1.4
Select, compute, or interpret appropriate standard measurement for
length, width, perimeter, area, volume, height, or weight
*1.1.7
Identify product containers and interpret weight and volume
|
|
7. Recognize, use, measure, and interpret
linear dimensions and geometric shapes
|
Consumer
Economics
*1.1.4
Select, compute, or interpret appropriate standard measurement for
length, width, perimeter, area, volume, height, or weight
Computation
*6.6.2
Recognize, use, and measure linear dimensions, geometric shapes, or
angles
|
|
8. Use and interpret measurement
instruments such as rulers, scales, gauges, and dials
|
Consumer
Economics
*1.1.5
Interpret temperatures
Computation
*6.6.4
Use or interpret measurement instruments, such as rulers, scales,
gauges, and dials
|
|
9. Interpret diagrams, illustrations, and
scale drawings
|
Employment
*4.4.3
Interpret job-related signs, charts, diagrams, forms, and procedures, and
record information on forms, charts, checklists, etc.
Computation
*6.6.5
Interpret diagrams, illustrations, and scale drawings
Learning
to Learn
7.4.8
Interpret visual representations, such as symbols, blueprints,
flowcharts, and schematics
|
|
10. Interpret spatial relationships (e.g.,
above, below, nearer, farther)
|
Consumer Economics
1.1.3 Interpret
maps and graphs
1.9.4 Interpret
maps related to driving
Community Resources
*2.2.5
Use maps relating to travel needs
|
|
11. Interpret recipes
|
Consumer
Economics
1.1.1
Interpret recipes
|
|
12. Convert equivalent measurements (e.g.,
cups to quarts)
|
Consumer
Economics
*1.1.4
Select, compute, or interpret appropriate standard measurement for
length, width, perimeter, area, volume, height, or weight
|
|
13. Identify product containers
|
Consumer
Economics
*1.1.7
Identify product containers and interpret weight and volume
|
|
14. Interpret weight and volume
|
Consumer
Economics
*1.1.7
Identify product containers and interpret weight and volume
|
|
15. Interpret temperature
|
Consumer
Economics
*1.1.5
Interpret temperatures
|
MATH STANDARD
7: Geometry
The student will identify, draw and describe the
characteristics of various shapes using geometric properties and applying them
to realistic situations. Upon exiting the intermediate low level, the student
will:
|
Indicator
|
Suggested CASAS Competencies That
Provide Context for Standards/
Indicators
|
|
1. Interpret the concepts of spatial
relationships, symmetry, congruency and similarity
|
Consumer
Economics
*1.1.4
Select, compute, or interpret appropriate standard measurement for
length, width, perimeter, area, volume, height, or weight
Computation
*6.6.2
Recognize, use, and measure linear dimensions, geometric shapes, or
angles
|
|
2. Predict, illustrate and verify which
figures could result from a flip, slide, or turn of a given figure
|
Consumer Economics
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
Employment
*4.4.6 Interpret
work specifications and quality standards
Computation
*6.6.2
Recognize, use, and measure linear dimensions, geometric shapes, or
angles
|
|
3. Draw and/or model two and three
dimensional shapes (e.g., cube, sphere, cone, cylinder, rectangular solid)
from a verbal description
|
Computation
*6.6.2
Recognize, use, and measure linear dimensions, geometric shapes, or
angles
|
|
4. Use geometric formulas to solve
problems involving perimeter and area of squares, triangles, cubes, and
rectangular solids
|
Computation
6.5.2
Recognize and apply simple geometric formulas
|
|
5. Solve word problems using different
geometric formulas for two and three dimensional shapes
|
Consumer
Economics
1.1.2
Use the metric system
*1.1.4
Select, compute, or interpret appropriate standard measurement for
length, width, perimeter, area, volume, height, or weight
Employment
*4.4.6
Interpret work specifications and quality standards
Computation
6.5.2
Recognize and apply simple geometric formulas
*6.6.2
Recognize, use, and measure linear dimensions, geometric shapes, or
angles
*6.6.3
Measure area and volume of geometric shapes
*6.6.5
Interpret diagrams, illustrations, and scale drawings
|
|
6. Describe, classify, compare and sort
geometric figures (including squares, rectangles, triangles, circles, cubes,
and rectangular solids) according to the number of faces, edges, bases, and
corners
|
Computation
*6.6.2
Recognize, use, and measure linear dimensions, geometric shapes, or
angles
|
MATH STANDARD 8: Algebra
The student will
identify and use algebraic expressions, equations, functions, and formulas and
apply them to realistic situations. Upon exiting the intermediate low level,
the student will:
|
Indicator
|
Suggested
CASAS Competencies That Provide Context for Standards/
Indicators
|
|
|
*Although
there are no CASAS competencies currently addressing these indicators, the
following competencies provide teachers and tutors the opportunity to teach
algebra and functions.
|
|
1. Construct a rectangular coordinate
system that shows positive and negative x and y values to 7
|
Consumer Economics
*1.1.5
Interpret temperatures
Computation
*6.0.2
Count and associate numbers with quantities, including recognizing
correct number sequencing
6.7.1
Interpret data given in a line graph
|
|
2. Describe a variety of patterns and
relationships through models (e.g., manipulatives, tables, graphs, and rules)
|
Consumer
Economics
1.1.2
Use the metric system
*1.1.3
Interpret maps and graphs
*1.1.4
Select, compute, or interpret appropriate standard measurement for
length, width, perimeter, area, volume, height, or weight
Government
and Law
*5.4.3
Interpret tax tables
Computation
*6.6.2
Recognize, use, and measure linear dimensions, geometric shapes, or
angles
*6.6.4
Use or interpret measurement instruments, such as rulers, scales,
gauges, and dials
Computation
6.7.1
Interpret data given in a line graph
6.7.2
Interpret data given in a bar graph
|
|
3. Translate a problem from words into a
number symbol sentence (e.g., six plus one equals seven to 6+1=7)
|
Consumer
Economics
1.1.2
Use the metric system
*1.1.4
Select, compute, or interpret appropriate standard measurement for
length, width, perimeter, area, volume, height, or weight
*1.1.6
Count, convert, and use coins and currency, and recognize symbols such as
($) and (.)
1.1.8
Compute averages
*1.2.3
Compute discounts
1.2.4
Compute unit pricing
*1.9.3 Compute mileage and gasoline
consumption
Community
Resources
*2.6.4
Interpret and order from restaurant and fast food menus, and compute
related costs
Employment
*4.2.1
Interpret wages, wage deductions, benefits, and timekeeping forms
Government
and Law
*5.4.2
Compute or define sales tax
Computation
6.5.3
Recognize and apply simple algebraic formulas
Computation
6.6.7
Solve measurement problems in stipulated situations
|
|
4. Recognize simple algebraic formulas
(e.g., 1+3=x)
|
Computation
6.5.3
Recognize and apply simple algebraic formulas
|
|
5. Recognize simple consumer formulas
(e.g., units times price=cost)
|
Computation
6.5.1
Recognize and evaluate simple consumer formulas
|
MATH STANDARD 9: Graphs, Charts and Maps
The student will solve problems by creating and using
various forms of charts, tables, graphs and maps. Upon exiting the intermediate
low level, the student will:
|
Indicator
|
Suggested CASAS Competencies That
Provide Context for Standards/
Indicators
|
|
1. Solve problems by generating,
collecting, organizing, displaying & analyzing data using bar, circle,
line pr pictographs & charts
|
Consumer
Economics
*1.2.1
Interpret advertisements, labels, charts, and price tags in selecting
goods and services
Employment
*4.4.3
Interpret job-related signs, charts, diagrams, forms, and procedures, and
record information on forms, charts, checklists, etc.
Government
and Law
*5.4.3
Interpret tax tables
Computation
6.0.3
Identify information needed to solve a given problem
*6.0.4
Determine appropriate operation to apply to a given problem
6.7.1
Interpret data given in a line graph
6.7.2
Interpret data given in a bar graph
6.7.3
Interpret data given in a picture graph
*6.7.4 Interpret data given in a
circle graph
Learning
to Learn
7.4.8
Interpret visual representations, such as symbols, blueprints,
flowcharts, and schematics
|
|
2. Interpret data in charts, tables,
plots, graphs, and maps
|
Consumer
Economics
*1.1.3
Interpret maps and graphs
1.1.9
Interpret clothing and pattern sizes and use height and weight tables
*1.2.1
Interpret advertisements, labels, charts, and price tags in selecting
goods and services
Employment
*4.4.3
Interpret job-related signs, charts, diagrams, forms, and procedures, and
record information on forms, charts, checklists, etc.
Government
and Law
*5.4.3
Interpret tax tables
Computation
6.7.1
Interpret data given in a line graph
6.7.2
Interpret data given in a bar graph
6.7.3
Interpret data given in a picture graph
*6.7.4
Interpret
data given in a circle graph
Learning
to Learn
7.4.8
Interpret visual representations, such as symbols, blueprints, flowcharts,
and schematics
|
|
3. Compute and find averages (means)
|
Consumer Economics
1.1.8 Compute
averages
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Employment
4.7.2 Identify
or demonstrate effective management of material resources, including
acquisition, storage, and distribution
Computation
*6.7.5
Compute averages, medians, or modes
|
|
4. Locate a point on a highway map
|
Consumer
Economics
*1.1.3
Interpret maps and graphs
Community
Resources
2.2.5
Use maps relating to travel needs
|
MATH STANDARD 10: Problem Solving
The student will
use and apply strategies to solve problems and make decisions. Upon exiting the
intermediate low level, the student will:
|
Indicator
|
Suggested CASAS Competencies That Provide
Context for Standards/
Indicators
|
|
1. Calculate differences (e.g., minutes
spent working on two jobs)
|
Employment
4.7.3
Identify or demonstrate effective management of human resources,
including assessing skills, making appropriate work assignments, and
monitoring performance
Computation
6.0.3
Identify information needed to solve a given problem
*6.0.4
Determine appropriate operation to apply to a given problem
|
|
2. Calculate the difference between two
hourly wages
|
Employment
*4.2.1
Interpret wages, wage deductions, benefits, and timekeeping forms
Computation
6.0.3
Identify information needed to solve a given problem
*6.0.4
Determine appropriate operation to apply to a given problem
|
|
3. Calculate the net cost of groceries
after deducting the value of coupons
|
Consumer
Economics
*1.2.3
Compute discounts
Computation
*6.4.1
Apply a percent to determine amount of discount
|
|
4. Analyze differences between figures
from a summarizing table
|
Consumer
Economics
*1.2.1
Interpret advertisements, labels, charts, and price tags in selecting
goods and services
Computation
6.0.3
Identify information needed to solve a given problem
*6.0.4
Determine appropriate operation to apply to a given problem
|
|
5. Differentiate earnings using hourly and
daily wage rates
|
Employment
*4.2.1
Interpret wages, wage deductions, benefits, and timekeeping forms
Computation
6.0.3
Identify information needed to solve a given problem
*6.0.4
Determine appropriate operation to apply to a given problem
|
|
6. Explain the difference between length
of business hours on week days and weekends
|
Community
Resources
2.1.1
Use the telephone directory and related publications to locate
information
Computation
6.0.3
Identify information needed to solve a given problem
*6.0.4
Determine appropriate operation to apply to a given problem
|
|
7. Calculate the savings between two
specific subscription rates
|
Consumer
Economics
*1.2.2
Compare price or quality to determine the best buys for goods and
services
Computation
6.0.3
Identify information needed to solve a given problem
*6.0.4
Determine appropriate operation to apply to a given problem
|
|
8. Calculate the amount of increase using
figures from a bar graph
|
Computation
6.0.3
Identify information needed to solve a given problem
*6.0.4
Determine appropriate operation to apply to a given problem
6.7.2
Interpret data given in a bar graph
|
|
9. Calculate daily earnings based on
hourly and daily wage rates
|
Employment
*4.2.1
Interpret wages, wage deductions, benefits, and timekeeping forms
Computation
6.0.3
Identify information needed to solve a given problem
*6.0.4
Determine appropriate operation to apply to a given problem
|
|
10. Total the amount of fines for several
driving violations
|
*Currently, there are no
CASAS
competencies that directly
address this
indicator. However, teachers
and
tutors can create a list of fines that the
student can use to calculate the total.
|
|
11. Use an order form to determine the
total cost of a purchase
|
Consumer
Economics
1.3.4
Use catalogs, order forms, and related information to purchase goods and
services
Community
Resources
*2.6.4
Interpret and order from restaurant and fast food menus, and compute
related costs
|
|
12. Determine the total for an order after
calculating the cost of two items plus sales tax (using a tax table)
|
Consumer
Economics
1.3.4
Use catalogs, order forms, and related information to purchase goods and
services
Community
Resources
*2.6.4
Interpret and order from restaurant and fast food menus, and compute
related costs
Government
and Law
*5.4.2
Compute or define sales tax
*5.4.3
Interpret tax tables
Computation
*6.1.1
Add whole numbers
*6.2.1
Add decimal fractions
|
|
13. Determine the total cost of multiple
items ordered from a menu, including one item having multiple quantities
|
Community
Resources
*2.6.4
Interpret and order from restaurant and fast food menus, and compute
related costs
Computation
*6.1.1
Add whole numbers
*6.2.1
Add decimal fractions
|
|
14. Calculate net value (deducting coupon
value from total purchase)
|
Community
Resources
*1.3.5
Use coupons to purchase goods and services
Computation
*6.1.2
Subtract whole numbers
*6.2.2
Subtract decimal fractions
|
|
15. Use an advertisement to determine the
total cost of several items in different quantities
|
Consumer
Economics
*1.2.1
Interpret advertisements, labels, charts, and price tags in selecting
goods and services
*1.2.2
Compare price or quality to determine the best buys for goods and
services
Computation
*6.1.1
Add whole numbers
*6.2.1
Add decimal fractions
|
|
16. Calculate the savings between two
specific subscription rates
|
Consumer
Economics
*1.2.2
Compare price or quality to determine the best buys for goods and
services
Computation
*6.1.2
Subtract whole numbers
*6.2.2
Subtract decimal fractions
|
MATH STANDARD
11: Consumer Math Skills
The student will select strategies to apply to various
consumer needs. Upon exiting the intermediate low level, the student will:
|
Indicator
|
Suggested CASAS Competencies That
Provide Context for Standards/
Indicators
|
|
1. Develop a personal budget for a set
income
|
Consumer
Economics
1.5.1
Interpret information about personal and family budgets
1.5.2
Plan for major purchases
1.5.3
Interpret bills
Employment
*4.2.1
Interpret wages, wage deductions, benefits, and timekeeping forms
|
|
2. Interpret bills
|
Consumer
Economics
1.5.3
Interpret bills
Community
Resources
2.1.4
Interpret telephone billings
|
|
3. Plan for major purchases (e.g., car,
refrigerator)
|
Consumer
Economics
1.5.1
Interpret information about personal and family budgets
1.5.2
Plan for major purchases
|
|
4. Interpret information or directions to
locate consumer goods (e.g., newspaper ads, yellow pages)
|
Consumer
Economics
*1.2.1
Interpret advertisements, labels, charts, and price tags in selecting goods
and services
*1.2.2
Compare price or quality to determine the best buys for goods and
services
*1.2.3
Compute discounts
1.3.7
Interpret information or directions to locate merchandise
|
|
5. Identify and uses different methods to
purchase goods and services, including catalogs, order forms, and related
information
|
Consumer
Economics
1.3.1
Compare different methods used to purchase goods and services
1.3.4
Use catalogs, order forms, and related information to purchase goods and
services
*1.3.5
Use coupons to purchase goods and services
|
|
6. Interpret advertisements, labels,
charts, letters, articles, price tags, or other information in selecting
goods and services
|
Consumer
Economics
*1.2.1
Interpret advertisements, labels, charts, and price tags in selecting
goods and services
1.2.5
Interpret letters, articles, and information about consumer-related
topics
|
|
7. Write checks or money orders to
purchase goods and services
|
Consumer
Economics
1.8.1
Demonstrate the use of savings and checking accounts, including using an
ATM
*1.8.2
Interpret the procedures and forms associated with banking services,
including writing checks
Community
Resources
2.4.6
Interpret a postal money order form
|
|
8. Interpret bank account statements and
computer-generated receipts
|
Consumer
Economics
1.6.4
Check sales receipts
1.8.1
Demonstrate the use of savings and checking accounts, including using an
ATM
*1.8.2
Interpret the procedures and forms associated with banking services,
including writing checks
|
|
9. Complete a deposit and withdrawal form
|
Consumer
Economics
1.8.1
Demonstrate the use of savings and checking accounts, including using an
ATM
*1.8.2
Interpret the procedures and forms associated with banking services,
including writing checks
|
NRS Intermediate High Basic
Education Level 4
CASAS Advanced Basic Skills Level C
CASAS Reading &
Math Scale Score Range: 220-235 CASAS Assessments: LW Reading 185, 186,
187, 188; ECS 15, 16, 116; Life Skills Math 35, 36, 37, 38; ECS Reading 15, 16,
116, 17, 18; ECS Math 15, 16, 17, 18; WLS Reading and Math 215, 216
CASAS Skill Level Descriptors: Can handle most
routine reading, writing, and computational tasks related to their life roles.
Can interpret routine charts, graphs and labels; read and interpret a simple
handbook for employees; interpret a payroll stub; complete an order form and do
calculations; compute tips; reconcile a bank statement; fill out medical information
forms and job applications. Can follow multi-step diagrams and written
instructions; maintain a family budget; and write a simple accident or incident
report. Can handle jobs and job training situations that involve following oral
and simple written instructions and diagrams. Persons at the upper end of this
score range are able to begin GED preparation.
MATH STANDARD
1: Fractions
The student will compare and order equivalent forms of
commonly used fractions as well as perform the four basic math operations
(addition, subtraction, multiplication, and division) using fractions that
include solving word problems. Upon exiting the intermediate high level the
student will:
|
Indicators
|
Suggested CASAS Competencies That
Provide
Context for Standards /
Indicators
|
|
1. Discriminate between verbal names,
written word names, and standard numbers with fractions
|
Computation
*6.6.1 Convert
units of U.S.
standard measurement and metric system
*6.6.4 Use or
interpret measurement instruments, such as rulers, scales, gauges, and dials
*6.6.5 Interpret
diagrams, illustrations, and scale drawings
*6.7.4 Interpret
data given in a circle graph
|
|
2. Locate fractions on a number line
|
*Currently, there are no
CASAS
competencies that directly
address this
indicator, however, teachers and tutors may be able to use
the following competency to locate fractions on a ruler, for example.
Computation *6.6.4 Use
or interpret measurement instruments, such as rulers, scales, gauges, and
dials
|
|
3. Calculate the relative size of
fractions
|
Consumer Economics
*1.1.1 Interpret
recipes
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
*6.6.5 Interpret
diagrams, illustrations, and scale drawings
|
|
4. Solve word problems that create
fractions
|
Consumer Economics
*1.1.1 Interpret
recipes
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Government and Law
*5.4.2 Compute
or define sales tax
Computation
6.0.3 Identify
information needed to solve a given problem
*6.0.4 Determine
appropriate operation to apply to a given problem
*6.6.6 Calculate
with units of time
|
|
5. Add whole numbers, fractions, and mixed
numbers with and without common denominators
|
Computation
*6.3.1 Add
common or mixed fractions
|
|
6. Subtract whole numbers, fractions, and
mixed numbers with no re-grouping
|
Computation
*6.3.2 Subtract
common or mixed fractions
|
|
7. Subtract whole numbers, fractions, and
mixed numbers with re-grouping
|
Computation
*6.3.2 Subtract
common or mixed fractions
|
|
8. Multiply common mixed fractions, mixed
numbers, and whole numbers
|
Computation
6.3.3 Multiply
common or mixed fractions
|
|
9. Divide fractions
|
Computation
6.3.4 Divide
common or mixed fractions
|
|
10. Divide whole numbers, fractions, and
mixed numbers
|
Computation
6.3.4 Divide
common or mixed fractions
|
|
11. Perform multiple operations using
common fractions, mixed numbers, and whole numbers
|
Computation
*6.3.5 Perform
multiple operations using common or mixed fractions
|
|
12. Select the appropriate operation to
solve problems with fractions
|
Computation
6.0.3 Identify
information needed to solve a given problem
*6.0.4 Determine
appropriate operation to apply to a given problem
|
|
13. Solve word problems using fractions
|
Consumer Economics
*1.1.1 Interpret
recipes
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Government and Law
*5.4.2 Compute
or define sales tax
Computation
6.0.3 Identify
information needed to solve a given problem
*6.0.4 Determine
appropriate operation to apply to a given problem
*6.6.6 Calculate
with units of time
|
MATH STANDARD 2:
Decimals
The student will represent and describe decimals, compare
and order decimals and perform the four basic math operations (addition,
subtraction, multiplication, and division) using decimals that include solving
word problems. Upon exiting the intermediate high level the student will:
|
Indicators
|
Suggested CASAS Competencies That
Provide
Context for Standards /
Indicators
|
|
1. Locate decimals on a number line
|
*Currently, there are no
CASAS
competencies that directly
address this
indicator, however, teachers and tutors may be able to use
the following competencies to locate decimals on a thermometer or a metric
ruler, for example.
Consumer Economics
*1.1.5 Interpret
temperatures
Computation
*6.6.4 Use or
interpret measurement instruments, such as rulers, scales, gauges, and dials
|
|
2. Order a sequence of decimal numbers
from smallest to largest
|
Consumer Economics
*1.2.2 Compare
price or quality to determine the best buys for goods and services
Community Resources
2.6.4 Interpret
and order from restaurant and fast food menus, and compute related costs
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
|
|
3. Multiply a decimal by a whole number or
another decimal
|
Computation
*6.2.3 Multiply
decimal fractions
|
|
4. Divide a decimal by a whole number
|
Computation
*6.2.4 Divide
decimal fractions
|
|
5. Divide a decimal by a decimal
|
Computation
*6.2.4 Divide
decimal fractions
|
|
6. Divide a whole number by a decimal
|
Computation
*6.1.4 Divide
whole numbers
*6.2.4 Divide
decimal fractions
|
|
7. Convert mixed numbers to decimal
fractions
|
Computation
*6.3.6 Convert
common or mixed fractions to decimal fractions or percents
|
|
8. Select the appropriate operation to
solve problems with decimals
|
Computation
6.0.3 Identify
information needed to solve a given problem
*6.0.4 Determine
appropriate operation to apply to a given problem
|
|
9. Solve word problems using decimals
|
Consumer Economics
1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
*1.8.2 Interpret
the procedures and forms associated with banking services, including writing
checks
Community Resources
2.2.4 Interpret
transportation schedules and fares
2.6.4 Interpret
and order from restaurant and fast food menus, and compute related costs
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Government and Law
*5.4.2 Compute
or define sales tax
5.4.3 Interpret
tax tables
|
MATH STANDARD 3: Ratios and Proportions
The student will compare and estimate with ratios and
proportions applying concepts to real life situations. Upon exiting the
intermediate high level the student will:
|
Indicators
|
Suggested CASAS Competencies That
Provide
Context for Standards /
Indicators
|
|
1. Discriminate between verbal names,
written word names, and standards numbers with ratios
|
Consumer Economics
1.2.4 Compute
unit pricing
1.5.1 Interpret
information about personal and family budgets
*1.9.3 Compute
mileage and gasoline consumption
Health
3.5.1 Interpret
nutritional and related information listed on food labels
Employment
*4.2.1
Interpret wages, wage deductions, benefits, and timekeeping forms
Computation
*6.6.2 Recognize,
use, and measure linear dimensions, geometric shapes, or angles
|
|
2. Explain the concept of a ratio and
proportion
|
Consumer Economics
1.2.4 Compute
unit pricing
1.5.1 Interpret
information about personal and family budgets
*1.9.3 Compute
mileage and gasoline consumption
Health
3.5.1 Interpret
nutritional and related information listed on food labels
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Computation
*6.6.2 Recognize,
use, and measure linear dimensions, geometric shapes, or angles
|
|
3. Solve word problems with ratios
|
Consumer Economics
1.2.4 Compute
unit pricing
1.5.1 Interpret
information about personal and family budgets
*1.9.3 Compute
mileage and gasoline consumption
Health
3.5.1 Interpret
nutritional and related information listed on food labels
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Computation
*6.4.5 Use rate
to compute increase or decrease
*6.4.6 Compute
using ratio or proportion
|
|
4. Explain that ratios can be represented
in different ways
|
*Currently, there are no
CASAS
competencies that directly
address this
indicator, however, teachers and tutors
can show students that ratios can be
expressed as fractions, by
using the word
“to,” or with a colon.
|
|
5. Select when to solve specific problems
by using ratios and proportions
|
Computation
6.0.3 Identify
information needed to solve a given problem
*6.0.4 Determine
appropriate operation to apply to a given problem
|
|
6. Solve word problems involving ratios
and proportions
|
Consumer Economics
1.2.4 Compute
unit pricing
1.5.1 Interpret
information about personal and family budgets
*1.9.3 Compute
mileage and gasoline consumption
Health
3.5.1 Interpret
nutritional and related information listed on food labels
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Computation
*6.4.5 Use rate
to compute increase or decrease
*6.4.6 Compute
using ratio or proportion
*6.6.2
Recognize, use, and measure linear dimensions, geometric shapes, or angles
|
|
7. Demonstrate the process of
cross-multiplying to solve proportions
|
Computation
*6.6.2 Recognize,
use, and measure linear dimensions, geometric shapes, or angles
|
MATH STANDARD
4: Percents
The student will represent, describe, compare and solve real
world problems using percents. Upon exiting the intermediate high level the
student will:
|
Indicators
|
Suggested CASAS Competencies That
Provide
Context for Standards /
Indicators
|
|
1. Discriminate between verbal names,
written word names, and standard numbers with percents
|
Consumer Economics
1.2.3 Compute
discounts
1.3.2 Interpret
credit applications and recognize how to use and maintain credit
*1.8.3 Interpret
interest or interest-earning savings plans
Health
*3.2.3 Interpret
information associated with medical, dental, or life insurance
3.5.1 Interpret
nutritional and related information listed on food labels
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
*4.4.6 Interpret
work specifications and quality standards
*4.7.1 Interpret
or prepare a work-related budget, including projecting costs, keeping
detailed records, and tracking status of expenditures and revenue
*4.7.2 Identify
or demonstrate effective management of material resources, including
acquisition, storage, and distribution
Government and Law
*5.4.2 Compute
or define sales tax
5.4.3 Interpret
tax tables
|
|
2. Analyze the relative size of percents
|
Consumer Economics
1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
*1.2.2 Compare
price or quality to determine the best buys for goods and services
1.2.3 Compute
discounts
*1.8.3 Interpret
interest or interest-earning savings plans
Government and Law
*5.4.2 Compute
or define sales tax
5.4.3 Interpret
tax tables
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
|
|
3. Solve word problems with percents
|
Consumer Economics
1.2.3 Compute
discounts
1.3.2 Interpret
credit applications and recognize how to use and maintain credit
*1.8.3 Interpret
interest or interest-earning savings plans
Health
*3.2.3 Interpret
information associated with medical, dental, or life insurance
3.5.1 Interpret
nutritional and related information listed on food labels
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
*4.4.6 Interpret
work specifications and quality standards
*4.7.1 Interpret
or prepare a work-related budget, including projecting costs, keeping
detailed records, and tracking status of expenditures and revenue
*4.7.2 Identify
or demonstrate effective management of material resources, including
acquisition, storage, and distribution
Government and Law
*5.4.2 Compute
or define sales tax
5.4.3 Interpret
tax tables
Computation
*6.4.1 Apply a
percent to determine amount of discount
*6.4.2 Apply a
percent in a context not involving money
*6.4.3 Calculate
percents
|
|
4. Explain how percents can be represented
in different ways
|
Computation
6.2.6 Convert
decimal fractions to common fractions or percents
*6.3.6 Convert
common or mixed fractions to decimal fractions or percents
6.4.4 Convert
percents to common, mixed, or decimal fractions
|
|
5. Convert between fractions, decimals,
and percents
|
Computation
6.2.6 Convert
decimal fractions to common fractions or percents
*6.3.6 Convert
common or mixed fractions to decimal fractions or percents
6.4.4 Convert
percents to common, mixed, or decimal fractions
|
|
6. Find a percent of a number
|
Computation
*6.4.3 Calculate
percents
|
|
7. Find what percent one number is of
another
|
Computation
*6.4.3 Calculate
percents
|
|
8. Find the total when a percent is given
|
Computation
*6.4.1 Apply a
percent to determine amount of discount
*6.4.2 Apply a
percent in a context not involving money
*6.4.3 Calculate
percents
|
|
9. Solve real-world problems involving percents
|
Consumer Economics
1.2.3 Compute
discounts
1.3.2 Interpret
credit applications and recognize how to use and maintain credit
*1.8.3 Interpret
interest or interest-earning savings plans
Health
*3.2.3
Interpret information associated with medical, dental, or life insurance
3.5.1 Interpret
nutritional and related information listed on food labels
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
*4.4.6 Interpret
work specifications and quality standards
*4.7.1 Interpret
or prepare a work-related budget, including projecting costs, keeping
detailed records, and tracking status of expenditures and revenue
*4.7.2 Identify
or demonstrate effective management of material resources, including acquisition,
storage, and distribution
Government and Law
*5.4.2 Compute
or define sales tax
5.4.3 Interpret
tax tables
Computation
*6.4.1 Apply a
percent to determine amount of discount
*6.4.2 Apply a
percent in a context not involving money
*6.4.3 Calculate
percents
|
|
10. Determine sales tax on a purchase when
given the tax rate
|
Computation
*5.4.2 Compute
or define sales tax
|
|
11. Use the interest formula (i = prt)
|
Computation
6.5.3 Recognize
and apply simple algebraic formulas
|
MATH STANDARD 5: Integers
The student will compute and estimate with integers. Upon
exiting the intermediate high level the student will:
|
Indicators
|
Suggested CASAS Competencies That
Provide
Context for Standards /
Indicators
|
|
1. Associate verbal names, written word
names, and standards numbers with integers
|
Consumer Economics
*1.1.5
Interpret temperatures
*1.8.1 Demonstrate
the use of savings and checking accounts, including using an ATM
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
*4.7.1 Interpret
or prepare a work-related budget, including projecting costs, keeping
detailed records, and tracking status of expenditures and revenue
Government and Law
*5.4.1 Interpret
income tax forms
|
|
2. Solve word problems using integers
|
Consumer Economics
1.1.2 Use the
metric system
*1.1.5 Interpret
temperatures
1.5.1 Interpret
information about personal and family budgets
*1.8.1 Demonstrate
the use of savings and checking accounts, including using an ATM
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
*4.4.6 Interpret
work specifications and quality standards
Employment
*4.7.1 Interpret
or prepare a work-related budget, including projecting costs, keeping
detailed records, and tracking status of expenditures and revenue
Government and Law
*5.4.1 Interpret
income tax forms
|
|
3. Locate numbers on a number line
|
Consumer Economics
*1.1.3 Interpret
maps and graphs
*1.1.5 Interpret
temperatures
Computation
*6.6.4 Use or
interpret measurement instruments, such as rulers, scales, gauges, and dials
*6.7.1 Interpret
data given in a line graph
|
|
4. Interpret the relative size of integers
|
Consumer Economics
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
Employment
*4.4.6 Interpret
work specifications and quality standards
Computation
*6.0.2 Count
and associate numbers with quantities, including recognizing correct number
sequencing
|
|
5. Add integers
|
Computation
*6.1.1 Add
whole numbers
|
|
6. Subtract integers
|
Computation
*6.1.2 Subtract
whole numbers
|
|
7. Multiply integers
|
Computation
*6.1.3 Multiply
whole numbers
|
|
8. Divide integers
|
Computation
*6.1.4 Divide
whole numbers
|
|
9. Solve simple problems by applying the
algebraic order of operations
|
Computation
6.0.3 Identify
information needed to solve a given problem
*6.0.4 Determine appropriate
operation to apply to a given problem
6.5.3 Recognize
and apply simple algebraic formulas
|
|
10. Select the appropriate operation to
solve specific problems using integers
|
Computation
6.0.3 Identify
information needed to solve a given problem
*6.0.4 Determine appropriate operation to apply to a given problem
|
|
11. Solve word problems involving integers
|
Consumer Economics
1.1.2 Use the
metric system
*1.1.5 Interpret
temperatures
1.5.1 Interpret
information about personal and family budgets
*1.8.1 Demonstrate
the use of savings and checking accounts, including using an ATM
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
*4.4.6 Interpret
work specifications and quality standards
Employment
*4.7.1 Interpret
or prepare a work-related budget, including projecting costs, keeping
detailed records, and tracking status of expenditures and revenue
Government and Law
*5.4.1 Interpret
income tax forms
|
|
12. Find square of numbers 1-20
|
Computation
*6.1.3 Multiply
whole numbers
|
|
13. Find square roots of perfect squares
|
Computation
*6.1.4 Divide
whole numbers
|
|
14. Write algebraic expressions (e.g., 2x,
2m – 10)
|
Computation
6.5.3 Recognize
and apply simple algebraic formulas
|
|
15. Solve one step equations involving any
of the mathematical operations (e.g., x + 9 – 27 = 2, x/4 = 3, x – (-4) = 2
|
Computation
6.0.3 Identify
information needed to solve a given problem
*6.0.4 Determine appropriate operation to apply to a given problem
*6.1.1 Add
whole numbers
*6.1.2 Subtract whole numbers
*6.1.3 Multiply whole numbers
*6.1.4 Divide whole numbers
|
|
16. Solve two step equations
|
Computation
6.0.3 Identify
information needed to solve a given problem
*6.0.4 Determine appropriate operation to apply to a given problem
*6.1.1 Add
whole numbers
Computation
*6.1.2 Subtract whole numbers
*6.1.3 Multiply whole numbers
*6.1.4 Divide whole numbers
|
MATH STANDARDS 6:
Geometry
The student will demonstrate proficiency in solving problems
involving geometry. Upon exiting the intermediate high level the student will:
|
Indicators
|
Suggested CASAS Competencies That
Provide
Context for Standards /
Indicators
|
|
1. Recognize and understand the basic
properties of two and three-dimensional geometric shapes (e.g., circle,
rectangle, cube)
|
Computation
*6.6.2 Recognize,
use, and measure linear dimensions, geometric shapes, or angles
|
|
2. Recognize types of angles (acute,
obtuse, straight, right, reflex)
|
Consumer Economics
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
Employment
*4.4.6 Interpret
work specifications and quality standards
Computation
*6.6.2 Recognize,
use, and measure linear dimensions, geometric shapes, or angles
|
|
3. Recognize types of triangles
(equilateral, right, scalene, isosceles)
|
Computation
*6.6.2 Recognize,
use, and measure linear dimensions, geometric shapes, or angles
*6.6.5 Interpret
diagrams, illustrations, and scale drawings
|
|
4. Know the number of degrees in a
triangle and a quadrilateral
|
Computation
*6.6.2
Recognize, use, and measure linear dimensions, geometric shapes, or angles
|
|
5. Use appropriate geometric vocabulary to
write a description of a figure or a picture composed of geometric figures
(parallel, perpendicular, similar, congruent)
|
Consumer Economics
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
Employment
*4.4.6 Interpret
work specifications and quality standards
Computation
*6.6.2 Recognize,
use, and measure linear dimensions, geometric shapes, or angles
|
|
6. Use geometric formulas for perimeter
|
Computation
*6.5.2 Recognize
and apply simple geometric formulas
*6.6.3 Measure
area and volume of geometric shapes
|
|
7. Use geometric formulas for area
|
Computation
*6.5.2 Recognize
and apply simple geometric formulas
*6.6.3 Measure
area and volume of geometric shapes
|
|
8. Use geometric formulas for
circumference
|
Computation
*6.5.2
Recognize and apply simple geometric formulas
*6.6.3 Measure
area and volume of geometric shapes
|
|
9. Use geometric formulas for volume of
three-dimensional shapes including cubes, rectangles, solids and cylinders
|
Consumer Economics
1.1.2 Use the
metric system
Computation
*6.5.2 Recognize
and apply simple geometric formulas
*6.6.3 Measure
area and volume of geometric shapes
|
|
10. Interpret geometric concepts,
including flips, slides, turns, enlargements, symmetry, reflections,
similarity, perpendicular, parallel
|
Consumer
Economics
*1.1.4
Select, compute, or interpret appropriate standard measurement for
length, width, perimeter, area, volume, height, or weight
Computation
*6.6.2 Recognize,
use, and measure linear dimensions, geometric shapes, or angles
|
|
11. Predict and verify patterns involving
tessellation (a covering of a plane with congruent copies of the same pattern
with no holes and no overlaps, like floor tiles)
|
Consumer Economics
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
Employment
*4.4.6 Interpret
work specifications and quality standards
Computation
*6.6.2 Recognize,
use, and measure linear dimensions, geometric shapes, or angles
|
|
12. Solve word problems using a variety of
geometric formulas for two and three dimensional shapes
|
Consumer
Economics
1.1.2
Use the metric system
*1.1.4
Select, compute, or interpret appropriate standard measurement for
length, width, perimeter, area, volume, height, or weight
Employment
*4.4.6
Interpret work specifications and quality standards
Computation
*6.5.2
Recognize and apply simple geometric formulas
Computation
*6.6.2
Recognize, use, and measure linear dimensions, geometric shapes, or
angles
*6.6.3
Measure area and volume of geometric shapes
*6.6.5 Interpret
diagrams, illustrations, and scale drawings
|
MATH STANDARD 7: Estimation
The student will
develop and apply number sense to solve a variety of real life problems and to
determine if the results are reasonable. Upon exiting the intermediate high
level the student will:
|
Indicators
|
Suggested CASAS Competencies That
Provide
Context for Standards /
Indicators
|
|
1. Predict results and checks
reasonableness of data
|
Consumer Economics
1.5.1 Interpret
information about personal and family budgets
Employment
*4.4.6 Interpret
work specifications and quality standards
*4.7.1 Interpret
or prepare a work-related budget, including projecting costs, keeping
detailed records, and tracking status of expenditures and revenue
Computation
*6.9.2 Estimate
answers
|
|
2. Solve word problems of length,
perimeter, area, mass, volume, and capacity
|
Consumer Economics
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
Computation
6.0.3 Identify
information needed to solve a given problem
*6.0.4 Determine
appropriate operation to apply to a given problem
*6.9.2 Estimate
answers
|
|
3. Solve word problems of money, time, and
temperature
|
Consumer Economics
*1.1.5 Interpret
temperatures
1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
1.2.3 Compute
discounts
1.2.4 Compute
unit pricing
Community Resources
*2.3.1 Interpret
clock time
2.6.4 Interpret
and order from restaurant and fast food menus, and compute related costs
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
Government and Law
*5.4.1 Interpret
income tax forms
*5.4.2 Compute
or define sales tax
5.4.3 Interpret
tax tables
Computation
6.0.3 Identify
information needed to solve a given problem
*6.0.4 Determine
appropriate operation to apply to a given problem
*6.6.6 Calculate
with units of time
*6.9.2 Estimate
answers
|
|
4. Use rounding techniques to estimate the
solution to an addition or subtraction measurement word problem; then
determines the actual result
|
Consumer Economics
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
Employment
*4.4.6 Interpret
work specifications and quality standards
Computation
6.0.3 Identify
information needed to solve a given problem
*6.0.4 Determine
appropriate operation to apply to a given problem
*6.6.4 Use or
interpret measurement instruments, such as rulers, scales, gauges, and dials
*6.9.2 Estimate
answers
|
|
5. Use a variety of strategies to estimate
lengths, widths, time intervals, and money to compare to actual measurements
|
Computation
*6.9.2 Estimate
answers
|
|
6. Solve word problems by estimating
measurements (length, time, weight/mass, temperature, money, perimeter, area
and volume) in either U.S.
system or in metric units
|
Consumer Economics
1.1.2 Use the
metric system
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
*1.1.5 Interpret
temperatures
1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
Computation
6.0.3 Identify
information needed to solve a given problem
*6.0.4 Determine
appropriate operation to apply to a given problem
*6.6.6 Calculate
with units of time
*6.9.2 Estimate
answers
|
MATH STANDARD 8: Measurement
The student will choose and use appropriate units and
instruments to measure length, weight, capacity, time and temperature. Upon
exiting the intermediate high level the student will:
|
Indicators
|
Suggested CASAS Competencies That
Provide
Context for Standards /
Indicators
|
|
1. Identify the measurement most
appropriate for a given situation
|
Consumer Economics
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
Computation
*6.6.4 Use or
interpret measurement instruments, such as rulers, scales, gauges, and dials
|
|
2. Convert within the U.S.
system of measures for length, weight, or capacity
|
Consumer Economics
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
Computation
*6.6.1 Convert
units of U.S.
standard measurement and metric system
*6.6.2 Recognize,
use, and measure linear dimensions, geometric shapes, or angles
|
|
3. Solve linear measurement problems with
inches, feet or yards
|
Consumer Economics
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
Computation
*6.6.2 Recognize,
use, and measure linear dimensions, geometric shapes, or angles
*6.6.4 Use or
interpret measurement instruments, such as rulers, scales, gauges, and dials
|
|
4. Solve capacity problems with cups,
pints, quarts or gallons
|
Consumer Economics
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
*1.1.7 Identify
product containers and interpret weight and volume
|
|
5. Identify metric units of measure for
length, weight/mass, or capacity
|
Consumer Economics
1.1.2 Use the
metric system
Computation
*6.6.2 Recognize,
use, and measure linear dimensions, geometric shapes, or angles
*6.6.4 Use or
interpret measurement instruments, such as rulers, scales, gauges, and dials
|
|
6. Associate prefixes used in the metric
system with their decimal equivalents
|
Consumer Economics
1.1.2 Use the
metric system
|
|
7. Convert measures within the metric
system from one prefix to another
|
Consumer Economics
1.1.2 Use the
metric system
Computation
*6.6.1 Convert
units of U.S.
standard measurement and metric system
|
|
8. Solve problem involving units of
measure and converts answers to a larger or small unit within either the
metric or U.S.
system
|
Consumer Economics
1.1.2 Use the
metric system
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
Computation
*6.6.1 Convert
units of U.S.
standard measurement and metric system
|
|
9. Select and use appropriate instruments,
technology, and techniques to measure quantities in order to achieve
specified degrees of accuracy
|
Consumer Economics
*1.1.4 Select,
compute, or interpret appropriate standard measurement for length, width,
perimeter, area, volume, height, or weight
Computation
*6.6.4 Use or
interpret measurement instruments, such as rulers, scales, gauges, and dials
|
MATH STANDARD 9:
Comprehension and Application of Theories
The student will interpret and apply primes, multiples,
place value, Roman numerals and the distributive property. Upon exiting the
intermediate high level, the student will:
|
Indicators
|
Suggested CASAS Competencies That
Provide
Context for Standards /
Indicators
|
|
1. Use
primes, factors, and multiples to build number sequence
|
*Currently, there are no CASAS
competencies that directly
address this
indicator.
|
|
2. Apply the Distributive property [e.g.,
6(4 + 2) = 24 + 12 = 36
|
*Currently, there are no
CASAS
competencies that directly
address this
indicator.
|
|
3. Apply place values
|
Consumer Economics
*1.1.5 Interpret
temperatures
1.1.6 Count,
convert, and use coins and currency, and recognize symbols such as ($) and
(.)
*1.2.1 Interpret
advertisements, labels, charts, and price tags in selecting goods and
services
1.6.4 Check
sales receipts
*1.8.2
Interpret the procedures and forms associated with banking services, including
writing checks
Community Resources
2.6.4 Interpret
and order from restaurant and fast food menus, and compute related costs
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
*4.4.6 Interpret
work specifications and quality standards
Government and Law
*5.4.1 Interpret
income tax forms
*5.4.2 Compute
or define sales tax
5.4.3 Interpret
tax tables
Computation
*6.7.5 Compute
averages, medians, or modes
|
|
4. Apply Roman numerals
|
*Currently, there are no
CASAS
competencies that directly
address this
indicator, however, teachers
and
tutors can integrate Roman numerals with many of the
mathematics competencies being covered.
|
MATH STANDARD 10: Graphs, Charts and Maps
The student will use data to construct graphs, tables,
charts, and maps and determine mean and medium. Upon exiting the intermediate
high level the student will:
|
Indicators
|
Suggested CASAS Competencies That
Provide
Context for Standards /
Indicators
|
|
1. Construct pictographs
|
Consumer Economics
*1.1.3 Interpret
maps and graphs
Computation
6.7.3 Interpret
data given in a picture graph
|
|
2. Construct graphs
|
Consumer Economics
*1.1.3 Interpret
maps and graphs
Computation
*6.7.1
Interpret data given in a line graph
*6.7.2 Interpret
data given in a bar graph
6.7.3 Interpret
data given in a picture graph
*6.7.4 Interpret
data given in a circle graph
|
|
3. Construct line graphs
|
Computation
*6.7.1 Interpret
data given in a line graph
|
|
4. Construct circle graphs
|
Computation
*6.7.4 Interpret
data given in a circle graph
|
|
5. Apply data from charts and tables to
solve word problems
|
Consumer Economics
1.1.9 Interpret
clothing and pattern sizes and use height and weight tables
*1.2.1 Interpret
advertisements, labels, charts, and price tags in selecting goods and
services
*1.8.3 Interpret
interest or interest-earning savings plans
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
*4.4.3 Interpret
job-related signs, charts, diagrams, forms, and procedures, and record
information on forms, charts, checklists, etc.
*4.4.6 Interpret
work specifications and quality standards
Government and Law
*5.4.1 Interpret
income tax forms
5.4.3 Interpret
tax tables
Computation
6.0.3 Identify
information needed to solve a given problem
*6.0.4 Determine
appropriate operation to apply to a given problem
|
|
6. Differentiate between mean and median
|
Consumer Economics
*1.1.8 Compute
averages
Employment
*4.2.1 Interpret
wages, wage deductions, benefits, and timekeeping forms
*4.7.2 Identify
or demonstrate effective management of material resources, including
acquisition, storage, and distribution
Computation
*6.7.5 Compute
averages, medians, or modes
|
|
7. Use a scale to measure distance on a
map
|
Consumer Economics
*1.1.3 Interpret
maps and graphs
Computation
*6.6.2 Recognize,
use, and measure linear dimensions, geometric shapes, or angles
*6.6.4 Use or
interpret measurement instruments, such as rulers, scales, gauges, and dials
*6.7.1 Interpret
data given in a line graph
|
|
8. Use information from a time zone map
|
Community Resources
2.1.3 Interpret
information about time zones
*2.3.1 Interpret
clock time
|
|
9. Use a map showing time zones to
determine the time in two or more time zones
|
Community Resources
2.1.3 Interpret
information about time zones
*2.3.1 Interpret
clock time
Computation
*6.6.6 Calculate
with units of time
|
MATH STANDARD 11: Consumer Math Skills
The student will use various mathematical strategies and
applications in real life situations. Upon exiting the intermediate level the
student will:
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