ABE Math Level 1

Course Outcome Summary

WTCS

Information

*Instructional Level*	Adult Basic Education
*Revision Date*	05/31/2005
*Revision History*	Wisconsin Technical College System ABE Steering Committee representatives revised the ABE Math content standards to align with the six levels designated by NRS guidelines during the spring of 2005.

Target Population

According to NRS Beginning ABE Literacy Benchmarks for math, the learner entering ABE Math Level 1 has little or no recognition of numbers or simple counting skills and may have only minimal skills, such as the ability to add or subtract single digit numbers.

Description

Level 1 Mathematics develops number concepts, mathematical language, and whole number topics. Participants learn to count, add and subtract three digit numbers, and perform multiplication through 12. Learners identify simple fractions and perform other simple arithmetic operations. Learners achieve Beginning Basic Education benchmarks according to NRS guidelines.

Core Abilities

A.	Learn effectively
B.	Value Self
C.	Communicate effectively
D.	Model responsible behavior
E.	Work cooperatively
F.	Evaluate information sources and uses
G.	Think critically and creatively
H.	Use technology

Competencies and Performance Standards

1.	Recognize whole numbers Linked Core Abilities A. Learn effectively G. Think critically and creatively H. Use technology *Performance Standards* You will demonstrate your competence: 1.1. in a skill demonstration or by solving problems 1.2. in individual or group setting 1.3. in a virtual, video, lab or classroom environment 1.4. in simulated life and/or work situations 1.5. orally and/or written 1.6. with oral and/or written instruction Your performance will be successful when: 1.1. you read whole numbers to 100 1.2. you write whole numbers to 100 1.3. you count to 100 1.4. you recognize patterns in counting (2s, 5s, 10s ...) 1.5. you identify place values 1.6. you compare numbers (bigger/smaller) 1.7. you use level appropriate terminology 1.8. you label solutions using correct units *Learning objectives* What you will learn as you master the competency: a. Describe the place value of whole numbers b. Count by one's, two's, five's, and 10's c. Solve word problems using number comparisons
2.	Calculate sum and difference Linked Core Abilities A. Learn effectively G. Think critically and creatively H. Use technology *Performance Standards* You will demonstrate your competence: 2.1. in a skill demonstration or by solving problems 2.2. in individual or group setting 2.3. in a virtual, video, lab or classroom environment 2.4. in simulated life and/or work situations 2.5. orally and/or written 2.6. with oral and/or written instruction Your performance will be successful when: 2.1. you recognize mathematical symbols (addition ,subtraction, equals) 2.2. you add single digit whole numbers 2.3. you subtract single digit whole numbers 2.4. you add double digit whole numbers not requiring regrouping 2.5. you subtract double digit whole numbers not requiring borrowing 2.6. you use level appropriate terminology 2.7. you label solutions using correct units 2.8. you estimate reasonableness of answer *Learning objectives* What you will learn as you master the competency: a. Compare addition to subtraction b. Compare adding single digit whole numbers with adding two or more digit whole numbers c. Add whole numbers without carrying d. Add whole numbers in columns e. Solve word problems involving addition of whole numbers f. Subtract whole numbers in columns g. Subtract whole numbers not requiring borrowing h. Solve word problems involving the simple subtraction of whole numbers
3.	Identify money values Linked Core Abilities A. Learn effectively G. Think critically and creatively H. Use technology *Performance Standards* You will demonstrate your competence: 3.1. in a skill demonstration or by solving problems 3.2. in individual or group setting 3.3. in a virtual, video, lab or classroom environment 3.4. in simulated life and/or work situations 3.5. orally and/or written 3.6. with oral and/or written instruction Your performance will be successful when: 3.1. you identify by name common U.S. coins 3.2. you identify the value of common U.S. coins 3.3. you compare the value of common U.S. coins 3.4. you identify by name common U.S. paper currency 3.5. you identify the value of common U.S. paper currency 3.6. you compare the value of common U.S. paper currency 3.7. you use level appropriate terminology 3.8. you label solutions using correct units *Learning objectives* What you will learn as you master the competency: a. Describe the difference between US currency coins and bills b. Compare US currency coins c. Compare US currency bills d. Count US currency coins e. Count US currency bills f. Solve simple word problems using US coin and bill currency
4.	Identify common geometric shapes Linked Core Abilities A. Learn effectively G. Think critically and creatively H. Use technology *Performance Standards* You will demonstrate your competence: 4.1. in a skill demonstration or by solving problems 4.2. in individual or group setting 4.3. in a virtual, video, lab or classroom environment 4.4. in simulated life and/or work situations 4.5. orally and/or written 4.6. with oral and/or written instruction Your performance will be successful when: 4.1. you identify by name common geometric shapes (triangle, circle, rectangle, square) 4.2. you draw common geometric shapes 4.3. you use level appropriate terminology *Learning objectives* What you will learn as you master the competency: a. Compare common geometric shapes b. Describe characteristics of squares, circles, triangles, and rectangles c. Sort objects according to geometric shapes
5.	Interpret picture graphs Linked Core Abilities A. Learn effectively G. Think critically and creatively H. Use technology *Performance Standards* You will demonstrate your competence: 5.1. in a skill demonstration or by solving problems 5.2. in individual or group setting 5.3. in a virtual, video, lab or classroom environment 5.4. in simulated life and/or work situations 5.5. orally and/or written 5.6. with oral and/or written instruction Your performance will be successful when: 5.1. you explain meaning of picture graph 5.2. you read picture graph 5.3. you construct simple picture graph 5.4. you use level appropriate terminology 5.5. you label solutions using correct units 5.6. you estimate reasonableness of answer *Learning objectives* What you will learn as you master the competency: a. Develop simple picture graphs b. Compare picture graphs to data c. Solve word problems involving simple picture graphs
6.	Recognize simple fractions Linked Core Abilities A. Learn effectively G. Think critically and creatively H. Use technology *Performance Standards* You will demonstrate your competence: 6.1. in a skill demonstration or by solving problems 6.2. in individual or group setting 6.3. in a virtual, video, lab or classroom environment 6.4. in simulated life and/or work situations 6.5. orally and/or written 6.6. with oral and/or written instruction Your performance will be successful when: 6.1. you recognize concept of whole vs. part 6.2. you use level appropriate terminology *Learning objectives* What you will learn as you master the competency: a. Identify halves, quarters, and whole fractions b. Compare whole fractions to quarters and halves c. Solve word problems involving simple fractions
7.	Tell time Linked Core Abilities A. Learn effectively G. Think critically and creatively H. Use technology *Performance Standards* You will demonstrate your competence: 7.1. in a skill demonstration or by solving problems 7.2. in individual or group setting 7.3. in a virtual, video, lab or classroom environment 7.4. in simulated life and/or work situations 7.5. orally and/or written 7.6. with oral and/or written instruction Your performance will be successful when: 7.1. you read various types of clock faces 7.2. you use level appropriate terminology 7.3. you label solutions using correct units *Learning objectives* What you will learn as you master the competency: a. Compare time in quarters, halves, and wholes (units of time) b. Solve word problems using simple units of time c. Explain how to read the hands on a clock d. Explain the difference between the two hands on the clock

ABE Math Level 2

Course Outcome Summary

WTCS

Information

*Instructional Level*	Adult Basic Education
*Revision Date*	05/31/2005
*Revision History*	Wisconsin Technical College System ABE Steering Committee representatives revised the ABE Math content standards to align with the six levels designated by NRS guidelines during the spring of 2005.

Target Population

According to NRS Beginning Basic Education Benchmarks for math, the learner entering ABE Math Level 2 can count, add and subtract three digit numbers, perform multiplication through 12, and can identify simple fractions and perform other simple arithmetic operations.

Description

Level 2 Mathematics emphasizes the four basic math operations using whole numbers up to three digits. Learners can identify and use all basic mathematical symbols. Learners use critical thinking skills to problem solve, perform computations, estimate results, and apply mathematics to real-world situations. Learners achieve Low Intermediate Basic Education benchmarks according to NRS guidelines.

Core Abilities

A.	Learn effectively
B.	Value Self
C.	Communicate effectively
D.	Model responsible behavior
E.	Work cooperatively
F.	Evaluate information sources and uses
G.	Think critically and creatively
H.	Use technology

Competencies and Performance Standards

1.	Calculate sum and difference of whole numbers Linked Core Abilities A. Learn effectively G. Think critically and creatively H. Use technology *Performance Standards* You will demonstrate your competence: 1.1. in a skill demonstration or by solving problems 1.2. in individual or group setting 1.3. in a virtual, video, lab or classroom environment 1.4. in simulated life and/or work situations 1.5. orally and/or written 1.6. with oral and/or written instruction Your performance will be successful when: 1.1. you add multiple digit numbers with or without regrouping 1.2. you subtract multiple digit numbers with or without borrowing 1.3. you identify whole number place values 1.4. you round whole numbers to requested value 1.5. you use level appropriate terminology 1.6. you label solutions using correct units 1.7. you estimate reasonableness of answer *Learning objectives* What you will learn as you master the competency: a. Compare adding single digit whole numbers with adding multiple digit whole numbers b. Compare subtracting single digit whole numbers with subtracting multiple digit whole numbers c. Round whole numbers to requested value d. Compute sums e. Compute differences f. Compute sums and differences using money g. Solve word problems using sums and differences
2.	Calculate products of whole numbers Linked Core Abilities A. Learn effectively G. Think critically and creatively H. Use technology *Performance Standards* You will demonstrate your competence: 2.1. in a skill demonstration or by solving problems 2.2. in individual or group setting 2.3. in a virtual, video, lab or classroom environment 2.4. in simulated life and/or work situations 2.5. orally and/or written 2.6. with oral and/or written instruction Your performance will be successful when: 2.1. you demonstrate mastery of multiplication facts from 0-12 2.2. you multiply numbers with two digit multiplicands 2.3. you use level appropriate terminology 2.4. you label solutions using correct units 2.5. you estimate reasonableness of answer *Learning objectives* What you will learn as you master the competency: a. Compute products b. Solve word problems involving multiplication c. Compute products using money
3.	Calculate quotients of whole numbers Linked Core Abilities A. Learn effectively G. Think critically and creatively H. Use technology *Performance Standards* You will demonstrate your competence: 3.1. in a skill demonstration or by solving problems 3.2. in individual or group setting 3.3. in a virtual, video, lab or classroom environment 3.4. in simulated life and/or work situations 3.5. orally and/or written 3.6. with oral and/or written instruction Your performance will be successful when: 3.1. you demonstrate mastery of division facts from 1-12 3.2. you calculate quotients with single digit divisors 3.3. you use level appropriate terminology 3.4. you label solutions using correct units 3.5. you estimate reasonableness of answer *Learning objectives* What you will learn as you master the competency: a. Compute quotients b. Solve word problems involving division c. Compute quotients using money
4.	Use common measurement tools Linked Core Abilities A. Learn effectively G. Think critically and creatively H. Use technology *Performance Standards* You will demonstrate your competence: 4.1. in a skill demonstration or by solving problems 4.2. in individual or group setting 4.3. in a virtual, video, lab or classroom environment 4.4. in simulated life and/or work situations 4.5. orally and/or written 4.6. with oral and/or written instruction Your performance will be successful when: 4.1. you identify common measurement tools (ruler, cup, Fahrenheit and Celsius thermometers, etc) 4.2. you read common measurements (whole, half, quarter) 4.3. you use common measurement tools 4.4. you use level appropriate terminology 4.5. you label solutions using correct units 4.6. you estimate reasonableness of answer *Learning objectives* What you will learn as you master the competency: a. Recognize common measurements (whole, half, thirds, quarter, etc.) b. Use measurement tools to determine length and volume c. Solve word problems using measurement tools
5.	Calculate perimeter and area of rectangles and squares Linked Core Abilities A. Learn effectively G. Think critically and creatively H. Use technology *Performance Standards* You will demonstrate your competence: 5.1. in a skill demonstration or by solving problems 5.2. in individual or group setting 5.3. in a virtual, video, lab or classroom environment 5.4. in simulated life and/or work situations 5.5. orally and/or written 5.6. with oral and/or written instruction Your performance will be successful when: 5.1. you calculate perimeter of rectangles and squares 5.2. you calculate area of rectangles and squares 5.3. you use level appropriate terminology 5.4. you label solutions using correct units 5.5. you estimate reasonableness of answer *Learning objectives* What you will learn as you master the competency: a. Define perimeter and area b. Identify perimeter and area formulas c. Apply formula to compute perimeter d. Apply formula to compute area e. Use geometric models to solve problems f. Solve word problems involving perimeter and area
6.	Evaluate whole number word problems Linked Core Abilities A. Learn effectively G. Think critically and creatively H. Use technology *Performance Standards* You will demonstrate your competence: 6.1. in a skill demonstration or by solving problems 6.2. in individual or group setting 6.3. in a virtual, video, lab or classroom environment 6.4. in simulated life and/or work situations 6.5. orally and/or written 6.6. with oral and/or written instruction Your performance will be successful when: 6.1. you solve word problems involving sums 6.2. you solve word problems involving differences 6.3. you solve word problems involving products 6.4. you solve word problems involving basic quotients 6.5. you solve word problems involving basic geometric formulas 6.6. you solve word problems involving time 6.7. you solve word problems involving measurement 6.8. you use level appropriate terminology 6.9. you label solutions using correct units 6.10. you estimate reasonableness of answer *Learning objectives* What you will learn as you master the competency: a. Identify problem solving steps b. Apply problems-solving steps c. Apply word problem strategies in practical situations
7.	Apply time concepts Linked Core Abilities A. Learn effectively G. Think critically and creatively H. Use technology *Performance Standards* You will demonstrate your competence: 7.1. in a skill demonstration or by solving problems 7.2. in individual or group setting 7.3. in a virtual, video, lab or classroom environment 7.4. in simulated life and/or work situations 7.5. orally and/or written 7.6. with oral and/or written instruction Your performance will be successful when: 7.1. you draws hands on clock face 7.2. you recognize common time intervals 7.3. you use common time vocabulary 7.4. you calculate elapsed time 7.5. you use level appropriate terminology 7.6. you label solutions using correct units 7.7. you estimate reasonableness of answer *Learning objectives* What you will learn as you master the competency: a. Define units of time b. Compare units of time c. Tell time d. Compute elapsed time e. Solve word problems involving time

ABE Math Level 3

Course Outcome Summary

WTCS

Information

*Instructional Level*	Adult Basic Education
*Revision Date*	05/31/2005
*Revision History*	Wisconsin Technical College System ABE Steering Committee representatives revised the ABE Math content standards to align with the six levels designated by NRS guidelines during the spring of 2005.

Target Population

According to NRS Low Intermediate Education Benchmarks for math, the learner entering ABE Math Level 3 can perform with high accuracy all four basic math operations using whole numbers up to three digits. Learners can identify and use all basic mathematical symbols.

Description

Level 3 Mathematics emphasizes the four basic math operations using whole numbers and fractions. Learners can determine the correct operation for solving narrative math problems and can convert fractions to decimals and decimals to fractions. Learners achieve High Intermediate Basic Education benchmarks according to NRS guidelines.

Core Abilities

A.	Learn effectively
B.	Value Self
C.	Communicate effectively
D.	Model responsible behavior
E.	Work cooperatively
F.	Evaluate information sources and uses
G.	Think critically and creatively
H.	Use technology

Competencies and Performance Standards

Perform computation involving division of whole numbers

Linked Core Abilities

A. Learn effectively

G. Think critically and creatively

H. Use technology

Performance Standards

You will demonstrate your competence:

1.1. in a skill demonstration or by solving problems

1.2. in individual or group setting

1.3. in a virtual, video, lab or classroom environment

1.4. in simulated life and/or work situations

1.5. orally and/or written

1.6. with oral and/or written instruction

Your performance will be successful when:

1.1. you divide using two digit divisors

1.2. you divide using three digit divisors

1.3. you divide resulting in a remainder

1.4. you divide using a place holder

1.5. you solve word problems involving division of whole numbers

1.6. you solve multi-step whole number problems applying the order of operations

1.7. you use level appropriate terminology

1.8. you label solutions using correct units

1.9. you estimate reasonableness of answer

Learning objectives

What you will learn as you master the competency:

a. Name the parts of a division problem including divisor, dividend, quotient, remainder, and place holder

b. Divide numbers using two and three digit divisors

c. Divide numbers resulting in remainders

d. Solve division problems with a placeholder in the quotient

e. Solve word problems using division concepts

f. Identify order of operations

g. Solve multi-step whole number problems

Analyze the characteristics of fractions

Linked Core Abilities

C. Communicate effectively

E. Work cooperatively

G. Think critically and creatively

Performance Standards

You will demonstrate your competence:

2.1. in a skill demonstration or by solving problems

2.2. in individual or group setting

2.3. in a virtual, video, lab or classroom environment

2.4. in simulated life and/or work situations

2.5. orally and/or written

2.6. with oral and/or written instruction

Your performance will be successful when:

2.1. you write fractions from pictures and words

2.2. you identify forms of fractions

2.3. you reduce fractions

2.4. you raise fractions to higher terms

2.5. you determine the lowest common denominator

2.6. you compare fractions

2.7. you change improper fractions to whole numbers or mixed numbers

2.8. you change mixed numbers to improper fractions

2.9. you determine what part one number is of another

2.10. you use level appropriate terminology

2.11. you label solutions using correct units

2.12. you estimate reasonableness of answer

Learning objectives

What you will learn as you master the competency:

a. Identify fractions and their parts including numerator, denominator, fraction bar, common denominator, lowest common denominator, proper fractions, improper fractions and mixed numbers

b. Write proper, improper and mixed number fractions from pictures and words

c. Convert between improper fractions, whole numbers, and mixed numbers

d. Reduce fractions

e. Distinguish between common denominator and lowest common denominator

f. Find the lowest common denominator of two or more fractions

g. Convert fractions to higher terms

h. Arrange fractions in ascending or descending order

Perform computations using addition of fractions

Linked Core Abilities

A. Learn effectively