Note: This document has been excerpted or adapted
from its original format for functional and consistency purposes within the
warehouse. To obtain the full document and supplementary materials, please
visit the state’s website at: http://wvabe.org/essential_igos.htm.
WV
ABE Instructor Handbook
Section
6
Objectives
(IGOs)
USING
INSTRUCTIONAL GOALS AND OBJECTIVES TO
MONITOR
STUDENT PROGRESS
What is
the WV ABE Verification Checklist Monitoring System?
The WV ABE verification
checklist of Essential Instructional Goals and Objectives (IGOs) monitoring
system is designed to track student mastery of specific skills. This process
assists instructors with identifying areas of academic deficiencies and skills
mastered.
This process is currently
NOT accepted by the US Department of Education for documenting student
completion of an FFL or movement to a higher FFL. It is, however, an effective strategy
for developing appropriate programs of study for adult learners. This system can be used to document and
report academic achievement for learners upon exit from the program.
What Does the Essential IGO Monitoring Process
Include?
This monitoring process
consists of three components:
·
Essential IGOs
that describe what a student needs to know or do to be successful in each
subject area.
·
Performance
Descriptors that define the performance criteria to document IGO mastery and
help guide instructors in selecting appropriate and consistent evaluation
tasks.
·
Benchmark Tasks
that are in the form of learning tasks or activities developed to meet the
criteria stated in the performance descriptors are used to document mastery of
IGOs. Sample evaluation tasks have
been created for many of the Essential IGOs. Instructors may choose to use the
developed tasks, develop their own, or use commercial materials to document
mastery of individual IGOs.
What
Essential IGO Checklists are Available?
For regular ABE students, an Essential IGO
Verification Checklist and descriptors have been developed for each FFL in three
content areas: Math,
Benchmark Tasks are available for:
Math
FFL 1-5
Reading
FFL 1-3
Writing/Composition
FFL 1-5
The Benchmark Tasks are available, free-of-charge,
from the Curriculum Technology Resource Center (CTRC) at
There are also GED Essential IGO Verification
Checklists for students at FFLs 5 and 6 whose goal is to pass the High School
equivalency exams. There are
checklist for five content areas:
Math,
For ESL, Essential IGOs Verification Checklists have
been developed for each FFL in two subject areas: Reading/Writing and Oral
Communication. Performance
descriptors and benchmark tasks have not
been created.
For Computer Literacy, an Essential IGO Verification
Checklist and Benchmark Tasks have been developed for each FFL. Instructors receive these items during
the required Computer Literacy Pre-Service.
When and How do I Begin
Using the Verification Checklist?
In order to use this
monitoring system, you must first complete Assessment 100:
Assessment to Instruction
Part 1 and Curriculum 100: Assessment to Instruction Part
2. The training sessions are
three hours each. You will be
introduced to the components of this monitoring system and be provided effective
techniques for adopting and implementing this system into an ABE
program.
Once you are trained, you
will follow the process described below:
·
Pre-test:
Administer the appropriate level of a recommended standardized assessment
instrument to determine the student’s entry FFL.
·
Use IGO
Verification Checklist: Select and use the appropriate IGO
Verification Checklist based on the student’s entry FFL. The Verification Checklists may be used
to monitor progress in any or all of the content areas. Verification Checklists and any
available performance descriptors are found in this Section of the
Handbook and can also be downloaded from the ABE website at http://wvabe.org/essential_igos.htm.
·
Provide
instruction: Use the appropriate IGO Verification
Checklist to develop a program of study based on the academic prescription
gained from the standardized assessment tool and deliver appropriate
instruction.
How do I
Use the Verification Checklist to Monitor and Verify Student
Progress?
Performance
descriptors have been developed for the Essential IGOs. These descriptors specify the content
and nature of an appropriate assessment task for a particular IGO. IGO mastery is verified using a
benchmark task (an activity developed to meet the criteria stated in the
performance descriptor and is used to informally assess and document mastery of
the IGO).
Instructors may choose to
develop their own benchmark tasks, based on the conditions stated in the
descriptors, by using such resources as:
·
Instructor-made
assessments
·
Student
projects/products
·
Performance
samples
·
End of chapter
tests
·
Rubrics
·
Worksheets
·
Computerized
assessment
As an alternative, instructors may use pre-developed
Benchmark Tasks for ABE Writing/Composition FFLs 1-5, ABE Reading FFLs 1-3, and
ABE Math FFLs 1-5, which are available, free-of-charge, from the Curriculum
Technology Resource Center (CTRC) at
The Benchmark Tasks or other forms of assessment used
to verify mastery of IGOs are to be maintained in the student’s permanent
program folder. The instructor must
document the mastery of each IGO by dating and initialing in the designated
space on the appropriate Verification Checklist/s. The Verification Checklist/s are also to
be kept in the student’s permanent program folder with assessment documentation
such as standardized tests.
VERIFICATION
CHECKLIST
MATHEMATICS
Federal Functioning Level 1 – Beginning Literacy
(0–1.9)
|
Student: |
Program: |
|
Instructor: |
M.0
PRE-COMPUTATIONAL MATH SKILLS |
Date
& Initial |
0.1.1
Recognize and count numbers
through 999. |
|
|
0.1.2 Count by twos,
fives and tens to 100. |
|
|
0.1.3
Identify even and
odd numbers. |
|
|
0.1.4
Identify missing
numbers in a
sequence. |
|
M.1 WHOLE
NUMBERS
|
Date
& Initial |
|
1.1.1 Add whole numbers up to three
digits (without carrying). |
|
|
1.1.2 Subtract whole numbers up to
three digits (without borrowing). |
|
|
1.1.3 Multiply whole numbers
through twelve using numerals. |
|
|
M.2
COUNT MONEY AND MAKE CHANGE |
Date
& Initial |
|
2.1.1 Recognize currency (up to
$20.00) and coins; count and trade pennies, nickels, dimes, and quarters
to 100 cents. |
|
|
2.1.2 Count back change (up to
$5.00) using coins and currency.
Ex. The student will
count change to be received from a $5.00 bill used for a $1.70
purchase. |
|
|
M.3
FRACTION |
Date
& Initial |
|
3.1.1
Identify
fractional parts (Ľ, 1/3,
˝) and
whole. |
|
M.9 UNITS OF TIME AND
MEASUREMENT |
Date & Initial |
|
9.1.1
Read time to the
nearest hour
and half hour. |
|
|
9.1.2
Understand use of
standard linear measurements (inches, feet). |
|
|
9.1.3 Understand use of
standard
measurements (cups, pints,
quarts, and gallons). |
|
|
M.13
GEOMETRY |
Date & Initial |
|
13.1.1 Identify and describe
triangles,
squares,
rectangles, and circles. |
|
Number
of IGOs mastered:
___________
85%
mastery required (12 of 14 IGOs)
August
2001
Performance
Descriptors
MATHEMATICS – BEGINNING
LITERACY – LEVEL 1
Each IGO should be mastered with a minimum score of
80%.
M.0.1.2 Count by twos,
fives and tens to100 either orally or through a written
exercise.
M.0.1.3
Identify a
minimum of ten even and odd numbers.
Whole
Numbers
M.1.1.1 Complete a
minimum of ten problems that require adding whole numbers up to three digits
(without carrying).
M.1.1.2 Complete a
minimum of ten problems that require subtracting whole numbers up to three
digits (without borrowing).
M.1.1.3 Complete a
minimum of ten problems that require multiplying whole numbers through twelve
using numerals.
M.2.1.2 Given a minimum
of ten different situations, count back change (up to $5.00) using coins and
currency.
Ex. The student will count change to be received from a $5.00 bill used
for a $1.70 purchase.
M.3.1.1 Identify a
minimum of two examples each of the fractional parts (Ľ, 1/3, ˝) and
whole.
M.9.1.1 Complete a
minimum of five problems that require reading time to the nearest hour and five
problems to the nearest half hour.
M.9.1.2 Complete a
minimum of ten statements that demonstrate an understanding of linear
measurement. For example, the
length of a book is measured in (a) inches
(b) feet.).
M.9.1.3 Complete a
minimum of ten problems that demonstrate an understanding of standard
measurements (cups, pints, quarts, and gallons). For example, a glass of milk is
measured in (a) quarts (b) cups (c) pints.
M.13.1.1 Identify a triangle, square,
rectangle, and circle; draw an example of each.
Federal Functioning Level 2 – Beginning Basic (Level
2–3.9)
|
Student: |
Program: |
|
Instructor: |
Date
Enrolled: |
M.1 WHOLE NUMBERS |
Date
& Initial |
1.2.1 Identify place value to
at least the thousands place. |
|
|
1.2.2 Add whole
numbers up to three digits using carrying. |
|
|
1.2.3
Subtract
whole numbers up to three digits using borrowing. |
|
|
1.2.4 Multiply whole
numbers up to three digits using carrying. |
|
|
1.2.5 Divide whole
numbers up to hundreds by one digit. |
|
|
1.2.6 Solve single
step real life word problems involving addition and subtraction using up
to three digit whole numbers. |
|
M.3
FRACTIONS |
Date
& Initial |
|
3.2.1 Identify and
demonstrate an understanding of fractional parts including Ľ, ⅓, ˝, and
whole. |
|
M.4
DECIMALS |
Date
& Initial |
|
4.2.1 Identify and
write amounts of money using decimals and words. |
|
M.6 APPLY MATH IN A FUNCTIONAL
CONTEXT |
Date
& Initial |
|
6.2.1 Solve simple
addition and subtraction problems by computing costs from a restaurant
menu. |
|
M.8 ESTIMATION |
Date & Initial |
|
8.2.1 Use rounding and
estimation for tens and hundreds. |
|
M.9 UNITS OF TIME AND
MEASUREMENT |
Date & Initial |
|
9.2.1 Identify clock time and
calendar dates using both words and numbers. |
|
|
9.2.2
Identify
fourths, halves, and whole numbers on a ruler (inches) and weight scales
pounds). |
|
|
9.2.3 Identify and select
appropriate measures for capacity (cups, pints, quarts, and gallons) and
weight (ounces and pounds). |
|
|
9.2.4 Interpret temperature from
Fahrenheit scale in various situations. |
|
M.10 TABLES, CHARTS, GRAPHS, AND
MAPS |
Date & Initial |
|
10.2.1 Solve problems using simple graphs
(pictograph, bar, line and circle), tables or distances on
maps. |
|
Number
of IGOs mastered:
85%
mastery required (13 of 15 IGOs)
August,
2001
Performance
Descriptors
MATHEMATICS – BEGINNING
BASIC – LEVEL 2
Each IGO
should be mastered with a minimum score of 80%.
M.1.2.1 Complete a
minimum of ten problems that require identifying place value to at least the
thousands place.
M.1.2.2 Complete a
minimum of ten problems that require adding whole numbers up to three digits
using carrying.
M.1.2.3 Complete a
minimum of ten problems that require subtracting whole numbers up to three
digits using borrowing, including borrowing from zeroes.
M.1.2.4 Complete a
minimum of ten problems that require multiplying whole numbers up to three
digits using carrying.
M.1.2.5 Complete a
minimum of ten problems that require dividing whole numbers up to hundreds by
one digit, including problems with remainders.
M.1.2.6 Solve a minimum
of ten single step real life word problems involving addition and ten similar
problems involving subtraction using up to three digit whole
numbers.
M.3.2.1 Identify at least
one example of the following: Ľ, ˝, 1/3, and whole. Demonstrate at least one of
each. For example, the student will fold paper or cut a candy bar into the
designated parts.
M.4.2.1 Solve a minimum
of ten problems that require identification of money using decimals (e.g.,
$5.45); solve a minimum of ten problems that require identification of money
using words (e.g., five dollars and forty-five cents).
M.6.2.1 Solve a minimum
of five problems that require simple addition and subtraction by computing costs
from a restaurant menu.
M.8.2.1 Round a minimum
of five numbers to tens and a minimum of five numbers to hundreds. Solve a minimum of five problems using
estimation that involves tens and hundreds. For example, estimate the sum of 406 and
798 (nearest hundred) or estimate the difference between 836 and 425 (nearest
ten).
M.9.2.1 Identify clock
time using both words and numbers in a minimum of ten problems; identify
calendar dates using both words and numbers in a minimum of ten problems.
M.9.2.2 Solve a minimum
of five problems that require the identification of fourths, halves, and whole
numbers on a ruler (inches); solve a minimum of five problems that require the
identification of fourths, halves, and whole numbers on weight scales
(pounds).
M.9.2.3 Solve a minimum
of five problems that require the identification and selection of appropriate
measures for capacity (cups, pints, quarts, and gallons) and five problems with
appropriate measures for weight (ounces and pounds).
M.9.2.4 Identify a
minimum of five temperatures on a Fahrenheit scale and complete a minimum of
five statements that demonstrate an understanding of temperatures in various
situations. Example: A very cold day is (a) 700
F (b) 560
F (c) 160 F.
M.10.2.1 Complete at least five
questions each on three of the following: simple pictograph, bar graph, line
graph, circle
graph, table or map.
Federal
Functioning Level 3 – Low Intermediate (4.0–5.9)
|
Student: |
Program: |
|
Instructor: |
Date
Enrolled: |
M.1
WHOLE NUMBERS |
Date
& Initial |
1.3.1 Add whole numbers up to four
digits. |
|
|
1.3.2 Subtract whole numbers up to four
digits. |
|
|
1.3.3 Multiply whole numbers up to four
digits. |
|
|
1.3.4
Divide a
four-digit number by at
least a three-digit number. |
|
|
1.3.5 Compute using the correct
order of operations to solve problems including multiply, divide, add, and
subtract (M, D, A, S). |
|
|
1.3.6 Solve single step real life
word problems involving multiplication and division using up to three
digit whole numbers. |
|
|
M.3
FRACTIONS |
Date
& Initial |
|
3.3.1
Identify
and calculate equivalent fractions (fourths, thirds, halves, eighths,
fifths and tenths). |
|
|
3.3.2
Add
and subtract fractions (fourths,
thirds, halves, eighths, fifths, and
tenths). |
|
|
3.3.3
Multiply
fractions (fourths, thirds,
halves, eighths, fifths, and tenths). |
|
|
3.3.4
Divide
fractions (fourths, thirds, halves,
eighths, fifths, and tenths). |
|
M.4
DECIMALS |
Date
& Initial |
|
4.3.1
Identify
place value for decimals (tenths, hundredths, and
thousandths). |
|
|
4.3.2 Round decimals to whole
numbers. |
|
|
4.3.3 Convert decimals
to fractions and
fractions to decimals (fourths, thirds, halves, eighths, fifths,
and tenths). |
|
M.6 APPLY MATH IN A FUNCTIONAL
CONTEXT |
Date
& Initial |
|
6.3.1 Compare prices and recognize best
buys. |
|
|
6.3.2
Interpret
information on a payroll stub. |
|
|
6.3.3 Solve problems using money to write
a
check and balance a check register. |
|
|
M.9 UNITS OF TIME AND
MEASUREMENT |
Date
& Initial |
|
9.3.1 Calculate units of time using a
clock
and calendar. |
|
|
9.3.2 Identify and select
appropriate linear measurements (inches, feet, yards, and
miles). |
|
|
9.3.3 Identify and select appropriate
metric measurement (including meters, liters, and
grams). |
|
M.10 TABLES, CHARTS, GRAPHS, AND
MAPS |
Date
& Initial |
|
10.3.1 Measure and compute direct distances
using scales/legends on a simple map. |
|
M.13
GEOMETRY |
Date & Initial |
|
13.3.1 Recognize basic geometric shapes
(triangle, square, circle, rectangle, hexagon and
pentagon). |
|
|
13.3.2 Calculate perimeter of squares and
rectangles using whole numbers. |
|
Number
of IGOs mastered:
___________
85%
mastery required (19 of 22 IGOs)
August,
2001
Performance
Descriptors
MATHEMATICS – LOW
INTERMEDIATE – LEVEL 3
Each IGO
should be mastered with a minimum score of 80%.
M.1.3.2 Complete a
minimum of ten problems involving the subtraction of whole numbers up to four
digits.
M.1.3.3 Complete a
minimum of ten problems involving the multiplication of whole numbers up to four
digits.
M.1.3.4 Complete a
minimum of ten problems involving the division of a four digit number by at
least a three digit number.
M.1.3.5 Compute using the
correct order of operations to solve a minimum of ten problems including
multiply, divide, add, and subtract (M, D, A, S).
M.1.3.6 Solve a minimum
of ten single step real life word problems involving multiplication and division
using up to three digit whole numbers.
Fractions
M.3.3.1 Identify and
calculate equivalent fractions (fourths, thirds, halves, eighths, fifths and
tenths) solving a minimum of five problems each that require (1) reducing, (2)
raising fractions to higher terms, (3) changing improper fractions to whole or
mixed numbers, and (4) changing mixed and whole numbers to improper
fractions.
M.3.3.2 Solve a minimum
of ten fraction problems (fourths, thirds, halves, eighths, fifths, and tenths)
that include addition of like and unlike denominators; subtract a minimum of ten
similar fraction problems that include like and unlike denominators and
borrowing from whole and mixed numbers.
M.3.3.3 Solve a minimum
of ten fraction problems (fourths, thirds, halves, eighths, fifths, and tenths)
that include multiplication of fractions, whole numbers, and mixed
fractions.
M.3.3.4 Solve a minimum
of ten fraction problems (fourths, thirds, halves, eighths, fifths, and tenths)
that include division of fractions, whole numbers, and mixed
fractions.
Decimals
M.4.3.1 Identify the
place value for a minimum of five decimals each involving tenths, hundredths,
and thousandths.
M.4.3.2 Round a minimum
of ten decimals to whole numbers.
M.4.3.3 Convert a minimum
of five decimals to fractions and five fractions to decimals (fourths, thirds,
halves, eighths, fifths, and tenths).
Apply
Math in a Functional Context
M.6.3.1 Compare prices
and recognize best buys in a minimum of ten problems.
M.6.3.2 Answer a minimum
of eight questions that require the interpretation of a payroll
stub.
M.6.3.3 Write at least
two checks and complete a check register that includes beginning and ending
balances and at
least five transactions (deposits and checks).
Units of
Time and Measurement
M.9.3.1 Solve a minimum
of five problems that require calculating units of time using a clock; solve a
minimum of five similar problems using a calendar.
M.9.3.2 Identify and
select appropriate linear measurements (inches, feet, yards, and miles) in a
minimum of ten examples.
M.9.3.3 Identify and
select appropriate metric measurement (including meters, liters, and grams) in a
minimum of ten examples.
Tables,
Charts, Graphs, and Maps
M.10.3.1 Measure and compute a minimum
of ten direct distances using scales/legends on a simple
map.
M.13.3.1 Identify a minimum of one
example of each of the following basic geometric shapes: triangle, square,
circle, rectangle, hexagon and pentagon.
M.13.3.2 Calculate the perimeter of
five squares and five rectangles using whole numbers.
Federal
Functioning Level 4 – High Intermediate (6–8.9)
|
Student: |
Program: |
|
Instructor: |
Date
Enrolled: |
NOTE: Essential IGOs related to the GED test
are underlined.
M.1
WHOLE NUMBERS |
Date
& Initial |
1.4.1 Solve real life multi-step whole
number word problems. |
|
M.3
FRACTIONS |
Date
& Initial |
|
3.33.4.1 Solve a minimum of ten real
life word problems using fractions. |
|
|
M.4
DECIMALS |
Date
& Initial |
|
4.4.1 Add decimals; add decimals and
whole numbers. |
|
|
4.4.2 Subtract decimals; subtract
decimals and whole numbers. |
|
|
4.4.3 Multiply decimals; multiply
decimals and whole numbers. |
|
|
4.4.4 Divide decimals; divide decimals
and whole numbers. |
|
|
4.4.5 Solve real life word problems using
decimals. |
|
M.5
PERCENTS |
Date
& Initial |
|
5.4.1
Convert
percents to decimals and fractions. |
|
|
5.4.2 Compute percents by finding the
part, the percent and the whole. |
|
|
5.4.3 Solve real life word problems
using percents. |
|
M.6 APPLY MATH IN A FUNCTIONAL
CONTEXT |
Date
& Initial |
|
6.4.1 Solve problems relating to payroll
stubs. |
|
|
6.4.2 Interpret and
calculate sales tax, rebates and discounts. |
|
|
6.4.3
Compute
and compare unit pricing using division of decimals. |
|
|
|
|
M.9
UNITS OF TIME AND MEASUREMENT |
Date
& Initial |
|
9.4.1 Solve problems using conversions
of units of weight, length/width, and
capacity. |
|
M.10 TABLES, CHARTS, GRAPHS, AND
MAPS |
Date
& Initial |
|
10.4.1 Solve problems using maps to
compute travel time, gas consumption and travel
costs. |
|
|
10.4.2
Develop
and draw conclusions from tables and graphs using instructor or student
selected information. |
|
|
M.11
INTEGERS |
Date
& Initial |
|
11.4.1 Identify positive and
negative numbers on a number line. |
|
|
11.4.2 Add positive and negative
numbers. |
|
|
11.4.3 Subtract positive and
negative numbers. |
|
|
11.4.4 Multiply positive and
negative numbers. |
|
|
11.4.5 Divide positive and negative
numbers. |
|
|
M.12
ALGEBRA |
Date
& Initial |
|
|
85% mastery required (20
of 23 IGOs)
Performance
Descriptors
MATHEMATICS – HIGH
INTERMEDIATE – LEVEL 4
Each IGO should be mastered with a minimum score of
80%.
M.3.4.1 Solve a minimum
of ten real life word problems using fractions.
M.4.4.1 Solve a minimum
of five problems involving adding decimals; solve a minimum of five problems
involving adding decimals and whole numbers, both vertically and
horizontally.
M.4.4.2 Solve a minimum
of five problems involving subtracting decimals; solve a minimum of five
problems involving subtracting decimals and whole numbers, both vertically and
horizontally.
M.4.4.3 Multiply a
minimum of five problems involving decimals; multiply a minimum of five problems
involving decimals and whole numbers, both vertically and
horizontally.
M.4.4.4 Divide a minimum
of five problems involving decimals; divide a minimum of five problems involving
decimals and whole numbers.
M.4.4.5 Solve a minimum
of ten real life word problems using decimals that require addition,
subtraction, multiplication and division.
M.5.4.1 Convert a minimum
of ten percents to decimals and fractions.
M.5.4.2 Compute a minimum
of five percent problems each involving (1) finding the part, (2) finding the
percent, and (3) finding the whole.
M.5.4.3 Solve a minimum
of 15 real life word problems with 5 each involving the three operations in
M.5.4.2.
M.6.4.1 Solve a minimum
of eight problems relating to payroll stubs.
M.6.4.2 Interpret and
calculate a minimum of five problems each involving sales tax, rebates and
discounts.
M.6.4.3 Solve a minimum
of ten problems that require computing and comparing unit pricing using division
of decimals.
M.6.4.4 Accurately
complete a catalog order form that lists at least five items for sale. List unit prices, amount of money for
purchases, calculate a subtotal, tax, shipping, and total
costs.
Units of
Time and Measurement
M.9.4.1 Convert a minimum
of ten units of weight, length, and capacity that include ounces, pounds, tons,
inches, feet, yards, cups, pints, quarts, and gallons; complete five reading
problems that use conversions of weight, length, and
capacity.
M.10.4.1
Solve a minimum of ten
problems using maps to compute travel time, gas consumption and travel
costs.
M.10.4.2
Develop and draw conclusions
from a table or graph (pictograph, circle graph, bar graph, or line
graph).
Integers
M.11.4.1
Identify a minimum of ten
positive and negative numbers on a number line.
M.11.4.2
Add a minimum of ten problems
involving positive and negative numbers.
M.11.4.3
Subtract a minimum of ten
problems involving positive and negative numbers.
M.11.4.4
Multiply a minimum of ten
problems involving positive and negative numbers.
M.11.4.5
Divide a minimum of ten
problems involving positive and negative numbers.
Algebra
M.12.4.1 Solve a minimum of ten simple
algebraic equations (e.g., 5x = 40, 2x + 4 = 10).
Federal
Functioning Level 5 – Low Adult Secondary (9-10.9)
|
Student: |
Program: |
|
Instructor: |
Date
Enrolled: |
NOTE: Essential IGOs related to the GED test
are underlined
M.3
FRACTIONS |
Date
& Initial |
3.5.1 Perform multiple operations of
fractions (review). |
|
|
M.4
DECIMALS |
Date & Initial |
|
4.5.1
Perform multiple operations of
decimals (review). |
|
M.5
PERCENTS |
Date
&
Initial |
|
5.5.1
Perform
multiple operations of percents (review). |
|
M.6 APPLY MATH IN A FUNCTIONAL
CONTEXT |
Date
& Initial |
|
6.5.1 Solve problems
using averaging (mean)
and median. |
|
M.7 RATIO AND
PROPORTION |
Date
& Initial |
|
| |
|
7.5.2 Compute using
ratio. |
|
|
7.5.3 Compute using
proportion. |
|
M.8
ESTIMATION |
Date
& Initial |
|
|
M.9 UNITS OF TIME AND
MEASUREMENT |
Date
& Initial |
|
9.5.1 Convert between the standard and
metric systems of measures; inch/cm,
foot/meter; pound/kilogram; quart/liter;
Fahrenheit/Celsius. |
|
|
9.5.2
Compute
time using |
|
M.10 TABLES, CHARTS, GRAPHS, AND
MAPS |
Date & Initial |
|
10.5.1
Interpret
information from multi-line graphs
to solve problems. |
|
M.11 INTEGERS |
Date & Initial |
|
11.5.1 Identify and plot ordered
pairs on a rectangular/coordinate plane. |
|
|
M.12
ALGEBRA |
Date & Initial |
|
12.5.1 Solve powers and perfect
square roots. |
|
|
12.5.2
Solve complex
algebraic equations (for ex.:
5(x+2) = 3(x +6),
3 r = 6).
|
|
M.13
GEOMETRY |
Date
&
Initial |
|
13.5.1 Recognize and identify complex
geometric words and shapes such as quadrilateral, polygon, hexagon,
octagon, parallelogram, cube, trapezoid, cone, cylinder and
pyramid. |
|
|
13.5.2 Solve problems involving angles
(right, complementary, supplementary, vertical, and corresponding) and
triangles. |
|
|
13.5.3 Calculate circumference, perimeter,
length, and width of selected geometric shapes (refer to current GED math
formula page). |
|
|
13.5.4 Calculate area of geometric
shapes (refer to current GED math formula page). |
|
|
13.5.5 Solve real life problems using
perimeter and area. |
|
|
13.5.6
Calculate volume
of geometric shapes (refer to current GED math formula
page). |
|
|
13.5.7 Solve real life problems using
volume. |
|
|
13.5.8 Solve problems
using the Pythagorean
Theorem with and without the aid of the
calculator. |
|
|
|
|
M.14
TRIGONOMETRY |
Date & Initial |
|
14.5.1 Identify components of
trigonometric
functions (adjacent, opposite, and
hypotenuse). |
|
85%
mastery required (20 or 23 IGOs)
August
2001
Performance
Descriptors
MATHEMATICS – LOW ADULT
SECONDARY – LEVEL 5
Each IGO should be mastered with a minimum score of
80%.
M.4.5.1 Review decimals including
writing decimals from words, converting fractions to decimals and decimals to
fractions, and estimation/rounding; solve a minimum of eight decimal word
problems.
Percents
M.5.5.1 Review percents including
changing percents to decimals, decimals to percents, fractions to percents, and
percents to fractions. Find the
part, whole and percent of a given problem and solve a minimum of eight percent
word problems.
Apply
Math in a Functional Context
M.6.5.1 Solve a minimum of five
problems each using averaging (mean) and median.
M.7.5.1 Solve a minimum of ten
problems with probability.
M.7.5.2 Compute a minimum of ten
problems using ratio.
M.7.5.3 Compute a minimum of ten
problems using proportion.
Estimation
M.8.5.1 Use estimation to solve a
minimum of ten real life problems.
M.9.5.1 Convert between the standard
and metric systems of measures by solving a minimum of two problems each
involving inch/cm, foot/meter; p pound/kilogram; quart/liter;
and Fahrenheit/Celsius.
M.9.5.2 Solve a minimum of ten
problems involving time using
M.10.5.1 Interpret information from multi-line
graphs to solve a minimum of five problems.
M.11.5.1 Identify and plot a minimum of ten
ordered pairs on a rectangular/coordinate plane.
M.12.5.1 Solve a minimum of ten problems using
powers and perfect square roots.
M.12.5.2 Solve a minimum of ten complex algebraic
equations (for ex.: 5(x+2) = 3(x
+6), 3 r = 6).
Geometry
M.13.5.1
Recognize and identify a minimum of ten
complex geometric words and shapes such as quadrilateral, polygon, hexagon,
octagon, parallelogram, cube, trapezoid, cone, cylinder and
pyramid.
M.13.5.2 Solve a minimum of five problems each involving
triangles and complementary, supplementary, vertical, and corresponding
angles.
M.13.5.3 Solve a minimum of ten problems involving the
calculation of circumference, perimeter, length, and width of circles,
triangles, square, rectangles, and parallelograms.
M.13.5.4 Solve a minimum of ten problems involving the
calculation of area of circles, triangles, squares, rectangles, and
parallelograms.
M.13.5.5 Solve a minimum of five real life
problems using perimeter and five problems using area.
M.13.5.6
Solve a minimum of five problems each
involving the volume of cubes and cylinders.
M.13.5.7
Solve a minimum of ten real life problems
using volume.
M.13.5.8
Solve a minimum of ten problems using the
Pythagorean Theorem with and without the aid of the calculator using both
hypotenuse and leg.
M.14.5.1 Solve a minimum of ten problems that
require the identification of trigonometric functions including adjacent,
opposite, and hypotenuse.
Federal
Functioning Level 6 – High Adult Secondary (11.0-12.9)
|
Student: |
Program: |
|
Instructor: |
Date
Enrolled: |
|
M.6 APPLY MATH IN A FUNCTIONAL
CONTEXT |
Date & Initial |
|
6.6.1 Use payroll stub
information to construct a personal/family
budget. |
|
|
6.6.2 Reconcile a bank
statement. |
|
|
M.7
RATIO AND PROPORTION |
Date & Initial |
|
7.6.1 Solve real life word
problems using proportion. |
|
|
7.6.2 Make predictions
based on probability including possible outcomes. |
|
|
|
|
M.9 UNITS OF TIME AND
MEASUREMENT |
Date & Initial |
|
9.6.1 Read and interpret
information on scales, meters, and gauges. |
|
|
M.10 TABLES, CHARTS, GRAPHS AND
MAPS |
Date & Initial |
|
10.6.1 Compare and analyze tables
and graphs. |
|
|
M.11
INTEGERS |
Date & Initial |
|
11.6.1 Explain the relationship
between length on a number line and absolute
value. |
|
|
M.12
ALGEBRA |
Date & Initial |
|
12.6.1 Use algebra to solve real
life problems. |
|
|
12.6.2 Solve
inequalities. |
|
|
12.6.3 Translate word phrases into
algebraic expressions
or word sentences into equations |
|
|
| |
|
12.6.5 Multiply and divide
binomials. |
|
|
12.6.6 Solve problems
involving the slope of a line on a graph. |
|
|
12.6.7 Solve problems
involving the x and y intercepts on a graph. |
|
|
12.6.8 Solve problems involving distance
between points on a coordinate
system. |
|
|
12.6.9 Factor algebraic
expressions. |
|
|
12.6.10 Express numbers in scientific
notation. |
|
M.13
GEOMETRY |
Date & Initial |
|
13.6.1 Use geometric formulas to
solve real life problems (review). |
|
|
M.14
TRIGONOMETRY |
Date & Initial |
|
14.6.1 Solve problems involving
trigonometric ratios (sin, cos, tan) with right
angles. |
|
Number of IGOs
mastered: ________________
85%
mastery required (16 of 19 IGOs)
|
ADDITIONAL
GED IGOS (not
required for completion of FFL) |
Date & Initial |
|
GED.6.1 Operate a scientific
calculator to solve basic and advanced mathematical
functions. |
|
|
GED.6.2 Evaluate insurance costs and
benefits. |
|
|
GED.6.3 Calculate retirement and
investment benefits. |
|
Performance
Descriptors
MATHEMATICS – HIGH ADULT
SECONDAR – LEVEL 6
Each IGO should be mastered with a minimum score of 80%.
M.6.6.2 Record at
least ten transactions that include outstanding checks and deposits,
debits/withdrawals and service charges.
Balance should agree with check register (ending
balance).
M.7.6.1
Solve a
minimum of ten real life word problems using proportion.
M.7.6.2
Make a
minimum of ten predictions based on probability including possible
outcomes.
M.9.6.1 Read and
interpret information on a minimum of five scales, five meters, and five
gauges.
M.11.6.1 By drawing a number
line, show the relationship between length on a number line and absolute value
for a minimum of five given absolute values.
Algebra
M.12.6.1 Use algebra to solve a
minimum of ten real life problems.
M.12.6.2 Solve a minimum of ten
inequalities.
M.12.6.3 Solve a minimum of ten
problems that require the translation of word phrases into algebraic expressions
or word sentences into equations.
M.12.6.4 Solve a minimum of five
problems each that require addition, subtraction, multiplication and division of
monomials.
M.12.6.5 Solve a minimum of five
problems each that require the multiplication and division of
binomials.
M.12.6.6 Solve a minimum of five
problems involving the slope of a line on a graph.
M.12.6.7 Solve a minimum of five
problems involving the x and y intercepts on a graph.
M.12.6.8 Solve a minimum of five
problems involving distance between points on a coordinate
system.
M.12.6.9 Factor a minimum of ten
algebraic expressions.
M.12.6.10 Express a minimum of five
numbers in scientific notation.
M.13.6.1 Use geometric formulas
to solve a minimum of ten real life problems.