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

1.

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

 

2.

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

 

3.

Perform computations using addition of fractions

Linked Core Abilities

A.        Learn effectively

E.         Work cooperatively

G.         Think critically and creatively

 

Performance Standards

You will demonstrate your competence:

3.1.       in a skill demonstration or by solving problems

3.2.       in simulated life and work situations

3.3.       in individual or group setting

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

3.5.       orally and/or written

3.6.       with oral and/or written instruction

 

Your performance will be successful when:

3.1.       you add fractions with common denominators

3.2.       you add fractions with unlike denominators

3.3.       you add whole numbers, fractions, and mixed numbers

3.4.       you solve word problems using addition of fractions

3.5.       you solve perimeter problems with fractions

3.6.       you use level appropriate terminology

3.7.       you label solutions using correct units

3.8.       you reduce answers to lowest terms

3.9.       you estimate reasonableness of answer

Learning objectives

What you will learn as you master the competency:

a.         Demonstrate strategies for adding fractions

b.         Solve problems using addition of fractions

c.         Solve word problems involving addition of fractions

 

4.

Perform computation using subtraction of fractions

Linked Core Abilities

A.        Learn effectively

G.         Think critically and creatively

 

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 subtract fractions with common denominators

4.2.       you subtract fractions with unlike denominators

4.3.       you regroup when subtracting fractions

4.4.       you solve word problems using mixed operations including addition and subtraction of fractions

4.5.       you use level appropriate terminology

4.6.       you label solutions using correct units

4.7.       you reduce answers to lowest terms

4.8.       you estimate reasonableness of answer

Learning objectives

What you will learn as you master the competency:

a.         Demonstrate strategies for subtracting fractions

b.         Explain how to use regrouping to subtract fractions

c.         Calculate subtraction of fractions using regrouping

d.         Solve problems using subtraction of fractions

e.         Solve word problems involving subtraction of fractions

 

5.

Perform computations using multiplication of fractions

Linked Core Abilities

A.        Learn effectively

G.         Think critically and creatively

 

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 multiply fractions

5.2.       you cancel when multiplying fractions

5.3.       you solve word problems using multiplication of fractions

5.4.       you use level appropriate terminology

5.5.       you label solutions using correct units

5.6.       you reduce answers to lowest terms

5.7.       you estimate reasonableness of answer

Learning objectives

What you will learn as you master the competency:

a.         Demonstrate strategies for multiplying fractions to solve problems

b.         Explain how to cancel when multiplying fractions

c.         Calculate multiplication of fractions using canceling

d.         Solve problems using multiplication of fractions

e.         Solve word problems involving multiplication of fractions

 

6.

Perform computations using division of fractions

Linked Core Abilities

A.        Learn effectively

G.         Think critically and creatively

 

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 divide fractions by fractions

6.2.       you divide whole numbers by fractions

6.3.       you divide fractions by whole numbers and mixed numbers

6.4.       you divide mixed numbers by fractions and whole numbers

6.5.       you divide mixed numbers by mixed numbers

6.6.       you solve word problems using division of fractions

6.7.       you find whole when fractional part is given

6.8.       you solve multi-step fraction word problems

6.9.       you solve word problems involving the four basic operations of fractions

6.10.     you use level appropriate terminology

6.11.     you label solutions using correct units

6.12.     you reduce answers to lowest terms

6.13.     you estimate reasonableness of answer

Learning objectives

What you will learn as you master the competency:

a.         Identify the reciprocal of a fraction

b.         Demonstrate strategies for dividing fractions

c.         Solve problems using division of fractions

d.         Solve multi-step problems using addition, subtraction, multiplication and division of fractions

e.         Solve word problems involving fractions

 

7.

Analyze the characteristics of decimals

Linked Core Abilities

A.        Learn effectively

D.        Model responsible behavior

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 identify the place value of decimals by reading and writing decimals

7.2.       you convert whole numbers to decimal forms

7.3.       you compare decimals

7.4.       you round decimals to the specified place value

7.5.       you use level appropriate terminology

7.6.       you estimate reasonableness of answer

Learning objectives

What you will learn as you master the competency:

a.         Identify place values of decimals

b.         Write whole numbers as decimals

c.         Round decimals to a specified place value

d.         Arrange decimals in ascending or descending order

 

8.

Perform computations using addition and subtraction of decimals

Linked Core Abilities

A.        Learn effectively

G.         Think critically and creatively

H.        Use technology

 

Performance Standards

You will demonstrate your competence:

8.1.       in a skill demonstration or by solving problems

8.2.       in individual or group setting

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

8.4.       in simulated life and/or work situations

8.5.       orally and/or written

8.6.       with oral and/or written instruction

 

Your performance will be successful when:

8.1.       you add decimals and whole numbers

8.2.       you solve word problems using additional of decimals

8.3.       you subtract decimals and whole numbers

8.4.       you solve word problems involving subtraction of decimals

8.5.       you add and subtract money

8.6.       you use level appropriate terminology

8.7.       you label solutions using correct units

8.8.       you estimate reasonableness of answer

Learning objectives

What you will learn as you master the competency:

a.         Demonstrate strategies for adding and subtracting whole decimals

b.         Solve problems using addition and subtraction of decimals

c.         Solve word problems using addition and subtraction of decimals

 

9.

Perform computations involving multiplication of decimals

Linked Core Abilities

A.        Learn effectively

E.         Work cooperatively

G.         Think critically and creatively

 

Performance Standards

You will demonstrate your competence:

9.1.       in a skill demonstration or by solving problems

9.2.       in individual or group setting

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

9.4.       in simulated life and/or work situations

9.5.       orally and/or written

9.6.       with oral and/or written instruction

 

Your performance will be successful when:

9.1.       you multiply decimals

9.2.       you multiply money

9.3.       you solve word problems using multiplication of decimals

9.4.       you use level appropriate terminology

9.5.       you label solutions using correct units

9.6.       you estimate reasonableness of answer

Learning objectives

What you will learn as you master the competency:

a.         Demonstrate strategies for multiplying decimals

b.         Solve problems using multiplication of decimals

c.         Solve word problems using multiplication of decimals

 

10.

Perform computations involving division of decimals

Linked Core Abilities

A.        Learn effectively

G.         Think critically and creatively

H.        Use technology

 

Performance Standards

You will demonstrate your competence:

10.1.     in a skill demonstration or by solving problems

10.2.     in individual or group setting

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

10.4.     in simulated life and/or work situations

10.5.     orally and/or written

10.6.     with oral and/or written instruction

 

Your performance will be successful when:

10.1.     you divide decimals by whole numbers

10.2.     you divide decimals by decimals

10.3.     you divide whole numbers by decimals

10.4.     you solve word problems using division of decimals

10.5.     you solve mixed operations of addition, subtraction, multiplication and division word problems using decimals

10.6.     you use level appropriate terminology

10.7.     you label solutions using correct units

10.8.     you estimate reasonableness of answer

Learning objectives

What you will learn as you master the competency:

a.         Demonstrate strategies for dividing decimals by whole numbers

b.         Demonstrate strategies for dividing decimals by decimals

c.         Demonstrate strategies for dividing whole numbers by decimals

d.         Solve multi-step problems using addition, subtraction, multiplication, and division of decimals

e.         Solve word problems involving decimals

 

11.

Convert between decimals and fractions

Linked Core Abilities

A.        Learn effectively

G.         Think critically and creatively

H.        Use technology

 

Performance Standards

You will demonstrate your competence:

11.1.     in a skill demonstration or by solving problems

11.2.     in individual or group setting

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

11.4.     in simulated life and/or work situations

11.5.     orally and/or written

11.6.     with oral and/or written instruction

 

Your performance will be successful when:

11.1.     you convert fractions to decimals

11.2.     you convert decimals to fractions

11.3.     you use level appropriate terminology

11.4.     you estimate reasonableness of answer

Learning objectives

What you will learn as you master the competency:

a.         Demonstrate strategies to convert fractions to decimals

b.         Demonstrate strategies to convert decimals to fractions

 

12.

Interpret visual data

Linked Core Abilities

C.         Communicate effectively

F.         Evaluate information sources and uses

G.         Think critically and creatively

 

Performance Standards

You will demonstrate your competence:

12.1.     in a skill demonstration or by solving problems

12.2.     in individual or group setting

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

12.4.     in simulated life and/or work situations

12.5.     orally and/or written

12.6.     with oral and/or written instruction

 

Your performance will be successful when:

12.1.     you locate a point on a map

12.2.     you interpret tables

12.3.     you interpret bar, line and circle graphs

12.4.     you solve word problems involving visual data

12.5.     you use level appropriate terminology

12.6.     you label solutions using correct units

12.7.     you estimate reasonableness of answer

Learning objectives

What you will learn as you master the competency:

a.         Use coordinates to locate a point on a map

b.         Explain the components of visual data

c.         Interpret tables and bar, line, and circle graphs

d.         Solve problems using visual data

e.         Solve word problems involving visual data

 

13.

Perform operations with a calculator

Linked Core Abilities

D.        Model responsible behavior

F.         Evaluate information sources and uses

H.        Use technology

 

Performance Standards

You will demonstrate your competence:

13.1.     in a skill demonstration or by solving problems

13.2.     using a calculator

13.3.     in individual or group setting

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

13.5.     in simulated life and/or work situations

13.6.     orally and/or written

13.7.     with oral and/or written instruction

 

Your performance will be successful when:

13.1.     you calculate whole numbers using a calculator

13.2.     you calculate fractions using a calculator

13.3.     you calculate decimals using a calculator

13.4.     you use level appropriate terminology

13.5.     you label solutions using correct units

13.6.     you estimate reasonableness of answer

Learning objectives

What you will learn as you master the competency:

a.         Perform calculations of whole numbers using a calculator

b.         Perform calculations of fractions using a calculator

c.         Perform calculations of decimals using a calculator

d.         Solve problems using calculators

 

 

 

 

 

ABE Math Level 4

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 High Intermediate Education Benchmarks for math, the learner entering ABE Math Level 4 can perform with high accuracy all 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.

 

Description

Level 4 Mathematics emphasizes all basic math functions and introduces simple algebraic equations.  Learners can perform all basic math functions with whole numbers, decimals, and fractions.  Learners can interpret and solve simple algebraic equations, tables and graphs, and can develop their own tables and graphs.  Learners can use math in business transactions. Learners achieve Low Adult Secondary 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.

Use ratios

Linked Core Abilities

A.        Learn effectively

G.         Think critically and creatively

 

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 write ratios

1.2.       you simplify ratios

1.3.       you compare ratios

1.4.       you solve word problems with ratios

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.         Define ratios

b.         Write ratios using the three different notations

c.         Write ratios for word problems using whole numbers

d.         Reduce ratios

e.         Identify equivalent ratios

f.          Convert written statements to ratios and reduce if necessary

 

2.

Use proportions

Linked Core Abilities

A.        Learn effectively

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 proportions

2.2.       you solve problems using proportion

2.3.       you solve multi-step word problems using proportions

2.4.       you use level appropriate terminology

2.5.       you label solutions using correct units

2.6.       you estimate reasonableness of answer

Learning objectives

What you will learn as you master the competency:

a.         Define proportions

b.         Compare two sets of data using ratios to determine if they are proportional

c.         Solve numerical proportion problems

d.         Set up proportions using word problems

e.         Solve multi-step problems using proportion

f.          Solve word problems using proportion

 

3.

Use percents

Linked Core Abilities

A.        Learn effectively

G.         Think critically and creatively

 

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 determine the value of percent

3.2.       you identify the percent, the whole, and the part

3.3.       you change decimals to percent

3.4.       you change percent to decimals

3.5.       you change fractions to percent

3.6.       you change percent to fractions

3.7.       you solve problems using percent

3.8.       you solve word problems using percent

3.9.       you use level appropriate terminology

3.10.     you label solutions using correct units

3.11.     you estimate reasonableness of answer

Learning objectives

What you will learn as you master the competency:

a.         Define percent

b.         Convert between decimals and percents

c.         Convert between fractions and percents

d.         Identify the part, the whole, and the percent

e.         Solve for the part in a percent problem

f.          Solve for the whole in a percent problem

g.         Solve for the percent in a problem

h.         Demonstrate strategies for solving percent problems such as using percent circles, proportions, and formulas

i.          Solve problems using percents

j.          Solve word problems using addition and subtraction of decimals

 

4.

Compute units of measurement using the U. S. customary system

 

Linked Core Abilities

C.         Communicate effectively

F.         Evaluate information sources and uses

 

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 units of length

4.2.       you identify units of weight

4.3.       you identify units of capacity

4.4.       you identify units of time

4.5.       you compare units of measurement

4.6.       you change larger units of measurement to smaller units of measurement

4.7.       you change smaller units of measurement to larger units of measurement

4.8.       you convert from one unit of measure to another (proportion and dimensional analysis)

4.9.       you change mixed measurements to specific units of measurement

4.10.     you add and subtract measurements

4.11.     you multiply and divides measurements

4.12.     you solve word problems using U.S. customary system

4.13.     you label solution using correct units

4.14.     you use level appropriate terminology

4.15.     you estimate reasonableness of answer

Learning objectives

What you will learn as you master the competency:

a.         Identify units of length, weight, capacity, and time

b.         Compare units of measurement

c.         Select appropriate units of measure

d.         Convert between smaller and larger units of measurement

e.         Demonstrate strategies for solving measurement conversions using proportions and dimensional analysis

f.          Change mixed measurements to specific units of measure

g.         Calculate problems using the U.S. Customary System measurement units

h.         Solve problems involving measurement

i.          Solve word problems involving measurement

 

5.

Compute units of measurement using the metric system

 

Linked Core Abilities

A.        Learn effectively

G.         Think critically and creatively

 

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 identify units of the metric system

5.2.       you change units of measurement from large to smaller units using the metric system

5.3.       you change units of measurement from smaller to larger units of measurement using the metric system

5.4.       you add and subtract using metric units

5.5.       you multiply and divide using metric units

5.6.       you compare units of measurements between measurement systems

5.7.       you convert units of measurement between measurement systems

5.8.       you solve word problems using metric system

5.9.       you label solution using correct units

5.10.     you use level appropriate terminology

5.11.     you estimate reasonableness of answer

Learning objectives

What you will learn as you master the competency:

a.         Identify units of length, weight, capacity, time, and temperature

b.         Compare units of measurement

c.         Demonstrate strategies for solving measurement conversions

d.         Demonstrate strategies for solving measurement conversions using proportions and dimensional analysis

e.         Select appropriate units of measure

f.          Convert between degrees Fahrenheit and degrees Celsius

g.         Calculate problems using metric system measurement units

h.         Convert units of measure between the U.S. Customary and Metric systems

i.          Solve multi-step problems involving measurement

j.          Solve word problems involving measurement

 

6.

Analyze visual data

Linked Core Abilities

A.        Learn effectively

G.         Think critically and creatively

 

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 extract information from graphs to solve problems

6.2.       you extract information from tables to solve problems

6.3.       you organize information to construct tables and graphs

6.4.       you solve word problems using tables and graphs

6.5.       you label solution using correct units

6.6.       you use level appropriate terminology

6.7.       you estimate reasonableness of answer

Learning objectives

What you will learn as you master the competency:

a.         Compare the characteristics and uses of picture graphs, bar graphs, and circle graphs

b.         Describe how tables and graphs can be used to organize information

c.         Locate information and data in various kinds of tables and graphs

d.         Explain how to use tables and graphs to solve problems

e.         Solve problems using visual data

f.          Create a table or graph from given information

g.         Solve word problems involving visual data

 

7.

Analyze basic statistical data

Linked Core Abilities

D.        Model responsible behavior

F.         Evaluate information sources and uses

G.         Think critically and creatively

 

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 compute range

7.2.       you compute mean

7.3.       you compute median

7.4.       you determine mode

7.5.       you solve word problems involving basic statistical data

7.6.       you label solution using correct units

7.7.       you use level appropriate terminology

7.8.       you estimate reasonableness of answer

Learning objectives

What you will learn as you master the competency:

a.         Define range, mean, median, and mode

b.         Compute range, mean, median, and mode

c.         Solve problems using statistical data

d.         Solve word problems involving statistical data

 

8.

Compute powers of whole numbers

Linked Core Abilities

A.        Learn effectively

G.         Think critically and creatively

H.        Use technology

 

Performance Standards

You will demonstrate your competence:

8.1.       in a skill demonstration or by solving problems

8.2.       in individual or group setting

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

8.4.       in simulated life and/or work situations

8.5.       orally and/or written

8.6.       with oral and/or written instruction

 

Your performance will be successful when:

8.1.       you compute powers of numbers

8.2.       you compute square roots of perfect squares

8.3.       you label solution using correct units

8.4.       you use level appropriate terminology

8.5.       you estimate reasonableness of answer

Learning objectives

What you will learn as you master the competency:

a.         Define exponents

b.         Identify the base and exponents in a term

c.         Express the exponential form in a factored form

d.         Express the factored form in an exponential form

e.         Compute powers of numbers from factored form

f.          Define square roots and perfect squares

g.         Identify the square root symbol

h.         Memorize the square roots of common perfect squares

 

9.

Apply number properties

Linked Core Abilities

A.        Learn effectively

G.         Think critically and creatively

H.        Use technology

 

Performance Standards

You will demonstrate your competence:

9.1.       in a skill demonstration or by solving problems

9.2.       in individual or group setting

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

9.4.       in simulated life and/or work situations

9.5.       orally and/or written

9.6.       with oral and/or written instruction

 

Your performance will be successful when:

9.1.       you identify order of operations

9.2.       you apply order of operations

9.3.       you solve word problems applying order of operations

9.4.       you identify commutative property of addition and multiplication

9.5.       you apply commutative property of addition and multiplication

9.6.       you identify associative property of addition and multiplication

9.7.       you apply associative property of addition and multiplication

9.8.       you use level appropriate terminology

Learning objectives

What you will learn as you master the competency:

a.         List the sequence of steps in the order of operations

b.         Solve problems using the order of operations

c.         Define the commutative and associative properties of addition and multiplication

d.         Apply the commutative and associative properties when solving problems

e.         Solve word problems using the order of operations

 

10.

Perform operations using signed numbers

Linked Core Abilities

A.        Learn effectively

D.        Model responsible behavior

G.         Think critically and creatively

 

Performance Standards

You will demonstrate your competence:

10.1.     in a skill demonstration or by solving problems

10.2.     in individual or group setting

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

10.4.     in simulated life and/or work situations

10.5.     orally and/or written

10.6.     with oral and/or written instruction

 

Your performance will be successful when:

10.1.     you define signed numbers

10.2.     you add signed numbers

10.3.     you subtract signed numbers

10.4.     you multiply signed numbers

10.5.     you divide signed numbers

10.6.     you solve word problems involving signed numbers

10.7.     you label solution using correct units

10.8.     you use level appropriate terminology

10.9.     you estimate reasonableness of answer

Learning objectives

What you will learn as you master the competency:

a.         Define signed numbers

b.         Demonstrate strategies for adding and subtracting signed numbers

c.         Demonstrate strategies for multiplying and dividing signed numbers

d.         Calculate signed numbers using the four basic operations

e.         Solve problems using signed numbers

 

11.

Apply concept of pre-algebra

Linked Core Abilities

A.        Learn effectively

G.         Think critically and creatively

 

Performance Standards

You will demonstrate your competence:

11.1.     in a skill demonstration or by solving problems

11.2.     in individual or group setting

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

11.4.     in simulated life and/or work situations

11.5.     orally and/or written

11.6.     with oral and/or written instruction

 

Your performance will be successful when:

11.1.     you simplify algebraic expression using the order of operations

11.2.     you substitute values for variables in expressions and equations

11.3.     you evaluate expressions and equations with substituted values

11.4.     you solve basic equations with variables

11.5.     you solve basic inequalities

11.6.     you write basic algebraic equations

11.7.     you use algebra to solve word problems

11.8.     you label solution using correct units

11.9.     you use level appropriate terminology

11.10.   you estimate reasonableness of answer

Learning objectives

What you will learn as you master the competency:

a.         Define variables, expressions, equations, and inequalities

b.         Write expressions

c.         Simplify algebraic expressions using the order of operations

d.         Formulate equations or inequalities

e.         Solve equations with variables

f.          Solve inequalities

g.         Write algebraic equations

h.         Solve problems using pre-algebra concepts

i.          Substitute values for variables in expressions and equations

j.          Evaluate expressions and equations with substituted values

k.         Solve word problems

 

12.

Apply concepts of geometry

Linked Core Abilities

A.        Learn effectively

G.         Think critically and creatively

 

Performance Standards

You will demonstrate your competence:

12.1.     in a skill demonstration or by solving problems

12.2.     in individual or group setting

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

12.4.     in simulated life and/or work situations

12.5.     orally and/or written

12.6.     with oral and/or written instruction

 

Your performance will be successful when:

12.1.     you identify common geometric formulas

12.2.     you identify angle relationships (parallel and perpendicular lines, vertical angles, supplementary, complementary, acute, etc.)

12.3.     you compute perimeter and circumference problems

12.4.     you solve perimeter and circumference word problems

12.5.     you compute area problems

12.6.     you solve area word problems

12.7.     you identify solid geometric figures

12.8.     you compute volume problems

12.9.     you solve volume word problems

12.10.   you label solution using correct units

12.11.   you use level appropriate terminology

12.12.   you estimate reasonableness of answer

Learning objectives

What you will learn as you master the competency:

a.         Define the following geometric terms: parallel lines, perpendicular lines, vertical angles, supplementary and complementary angles, acute angles, etc.

b.         Identify types of angles and lines

c.         Compute perimeter and circumference problems

d.         Solve perimeter and circumference word problems

e.         Compute area problems

f.          Solve area word problems

g.         Identify solid geometric figures

h.         Compute volume problems

i.          Solve volume word problems

 

13.

Perform operations with a calculator

Linked Core Abilities

D.        Model responsible behavior

G.         Think critically and creatively

H.        Use technology

 

Performance Standards

You will demonstrate your competence:

13.1.     in a skill demonstration or by solving problems

13.2.     using a calculator

13.3.     in individual or group setting

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

13.5.     in simulated life and/or work situations

13.6.     orally and/or written

13.7.     with oral and/or written instruction

 

Your performance will be successful when:

13.1.     you calculate proportions using a calculator

13.2.     you calculate percents using a calculator

13.3.     you calculate powers of numbers using a calculator

13.4.     you calculate square roots of numbers using a calculator

13.5.     you calculate signed numbers using a calculator

13.6.     you calculate order of operation problems using a calculator

13.7.     you label solution using correct units

13.8.     you use level appropriate terminology

13.9.     you estimate reasonableness of answer

Learning objectives

What you will learn as you master the competency:

a.         Solve proportion problems using a calculator

b.         Compute percent problems using a calculator

c.         Solve powers of numbers using a calculator

d.         Solve square roots using a calculator

e.         Compute signed numbers using a calculator

f.          Compute order of operation problems using a calculator

 

 

 

 

 

ABE Math Level 5

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 Adult Secondary Education Benchmarks for math, the learner entering ABE Math Level 5 can perform all basic math functions with whole numbers, decimals, and fractions.  Learners can interpret and solve simple algebraic equations, tables and graphs, and can develop their own tables and graphs.  Learners can use math in business transactions.

 

Description

Level 5 Mathematics emphasizes applying mathematical concepts including algebra, geometry, trigonometry, and probability. Learners make mathematical estimates of time and space, and apply the principles of geometry to measure angles, lines and surfaces. Learners achieve High Adult Secondary 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.

Apply concepts of power

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 compute powers of real numbers

1.2.       you use number operations with powers of real numbers

1.3.       you write numbers in scientific notation

1.4.       you convert between scientific notation and numeric form

1.5.       you perform number operations with scientific notation

1.6.       you identify rules of significant digits

1.7.       you solve problems using rules of significant digits

1.8.       you compute roots of real numbers

1.9.       you use number operations with roots of real numbers

1.10.     you use level appropriate terminology

1.11.     you estimate reasonableness of answer

Learning objectives

What you will learn as you master the competency:

a.         Define the following algebraic terms:  real number, scientific notation, significant digits

b.         Compute powers and roots of real numbers

c.         Perform number operations using powers and roots

d.         Write numbers in scientific notation

e.         Perform number operations using scientific notation

f.          Convert between scientific notation and  numeric form

g.         Identify rules of significant digits

h.         Use rules of significant digits to solve problems

 

2.

Apply algebra concepts

Linked Core Abilities

A.        Learn effectively

C.         Communicate effectively

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 simplify expressions

2.2.       you solve linear equations

2.3.       you solve inequalities

2.4.       you use number operations to simplify polynomial expressions (+, -, x, /, FOIL)

2.5.       you factor polynomials

2.6.       you solve literal equations

2.7.       you solve word problems involving algebra

2.8.       you label solution using correct units

2.9.       you use level appropriate terminology

2.10.     you estimate reasonableness of answer

Learning objectives

What you will learn as you master the competency:

a.         Define the following algebraic terms:  linear and literal equations, monomial, polynomial

b.         Solve linear and literal equations

c.         Solve problems using algebraic concepts

d.         Simplify expressions  using "FOIL"

e.         Factor prime factor monomials

f.          Factor differences of squares

g.         Factor perfect square trinomials

h.         Factor trinomials

 

3.

Graph linear equations

Linked Core Abilities

A.        Learn effectively

F.         Evaluate information sources and uses

G.         Think critically and creatively

 

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 parts and points of coordinate planes

3.2.       you find distance on a coordinate plane

3.3.       you create x/y tables of values

3.4.       you graph linear equations

3.5.       you solve linear equations using graphs

3.6.       you find slopes in intercepts

3.7.       you label solution using correct units

3.8.       you use level appropriate terminology

3.9.       you estimate reasonableness of answer

Learning objectives

What you will learn as you master the competency:

a.         Identify the following parts of a coordinate plane:  origin, x-axis, y-axis, x- coordinate, y-coordinate, slope, intercept, ordered pair

b.         Graph ordered pairs on a coordinate plane

c.         Find distance on a coordinate plane

d.         Create x/y tables

e.         Construct a graph of a linear equation

f.          Solve linear equations using graphs

g.         Find slopes

h.         Find intercepts

 

4.

Apply geometry concepts

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 different types of triangles

4.2.       you identify parts of different triangles

4.3.       you use Pythagorean Theorem

4.4.       you solve problems using the Pythagorean Theorem

4.5.       you solve triangle problems (similar, congruent, etc.)

4.6.       you solve word problems using geometry concepts

4.7.       you label solution using correct units

4.8.       you use level appropriate terminology

4.9.       you estimate reasonableness of answer

Learning objectives

What you will learn as you master the competency:

a.         Define the following geometric terms:  isosceles, equilateral, right, scalene, similar, and congruent triangles; base angles, vertex;

b.         Identify different triangles and their respective parts

c.         Use Pythagorean Theorem to  find length of any side of a right triangle

d.         Solve right triangle problems using Pythagorean Theorem

e.         Solve triangle problems using similarity and congruency

f.          Solve word problems using geometry concepts

 

 

 

5.

Apply probability concepts

Linked Core Abilities

A.        Learn effectively

C.         Communicate 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 probabilities

5.2.       you calculate odds

5.3.       you use probability to predict outcomes

5.4.       you solve problems using probability

5.5.       you solve word problems using probability

5.6.       you label solution using correct units

5.7.       you use level appropriate terminology

5.8.       you estimate reasonableness of answer

Learning objectives

What you will learn as you master the competency:

a.         Define probability, outcome, odds

b.         Calculate probability

c.         Calculate odds

d.         Use probability to predict outcomes

e.         Solve word problems using probability

 

 

ABE Math Level 6

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 High Adult Secondary Education Benchmarks for math, the learner entering ABE Math Level 6 can apply mathematical concepts including algebra, geometry, trigonometry, and probability. Learners make mathematical estimates of time and space, and apply the principles of geometry to measure angles, lines and surfaces.

 

Description

Level 6 Mathematics emphasizes analyzing non-routine problems and arriving at a solution by various means.  Learners apply algebraic, geometric, and trigonometric functions to solve problems.

 

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.

Solve rational equations

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.       with oral and/or written instruction

 

Your performance will be successful when:

1.1.       you simplify rational expressions

1.2.       you add/subtract rational terms

1.3.       you multiply/divide rational terms

1.4.       you solve rational equations

1.5.       you use correct terminology involving rational equations

 

Learning objectives

What you will learn as you master the competency:

a.         Simplify rational expressions

b.         Determine lowest common denominator of rational expressions

c.         Convert terms of rational expressions to LCD

d.         Combine like terms of rational expressions

e.         Multiply rational expressions

f.          Divide rational expressions

g.         Determine lowest common denominator (LCD) of rational equation

h.         Multiply terms of a rational equation by the LCD

i.          Solve equation formed by multiplying rational equation by LCD

j.          Check solutions for extraneous solutions

k.         Use correct terminology involving rational equations

 

2.

Solve radical equations

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.       with oral and/or written instruction

 

Your performance will be successful when:

2.1.       you simplify radicals

2.2.       you add and subtract radical terms

2.3.       you solve radical equations

2.4.       you use correct terminology involving radical equations

Learning objectives

What you will learn as you master the competency:

a.         Simplify radicals

b.         Rationalize the denominators of radical expressions

c.         Simplify radical expressions by addition

d.         Simplify radical expressions by subtraction

e.         Isolate radicals

f.          Solve radical equations containing one radical by raising both sides of the equal sign by     the power of the  index

 

g.          Solve radical equation containing two radicals by raising both sides of the equal sign by the power of the index

 

h.          Solve radical equation containing two or more radical by raising both sides of the equal sign by the power of the index, isolate remaining radical, raise resulting equation by the power of the index

 

i.          Check solutions for extraneous solutions

j.          Use correct terminology involving radical equations

 

3.

Compute Imaginary/Complex 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.       with oral and/or written instruction

 

Your performance will be successful when:

3.1.       you calculate imaginary numbers

3.2.       you calculate complex numbers

3.3.       you perform the four basic math operations with imaginary numbers

3.4.       you perform the four basic math operations with complex numbers

3.5.       you calculate the absolute value of complex numbers

3.6.       you graph complex numbers

3.7.       you use correct terminology involving imaginary/complex numbers

Learning objectives

What you will learn as you master the competency:

a.         Define imaginary numbers

b.         Calculate an imaginary number from a negative square root

c.         Define complex numbers

d.         Write complex numbers

e.         Add imaginary numbers

f.          Subtract imaginary numbers

g.         Multiply imaginary numbers

h.         Divide imaginary numbers

i.          Add complex numbers

j.          Subtract complex numbers

k.         Multiply complex numbers

l.          Divide complex numbers

m.        Graph imaginary numbers

n.         Graph complex numbers

o.         Identify the absolute value formula of complex numbers

p.         Calculate the absolute value of imaginary numbers

q.         Calculate the absolute value of complex numbers

r.          Use correct terminology involving imaginary/complex numbers

 

4.

Solve Quadratic Equations using the Quadratic Formula

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.       with oral and/or written instruction

 

Your performance will be successful when:

4.1.       you write quadratic equations in standard form

4.2.       you solve quadratic equations using the quadratic formula

4.3.       you solve word problems

4.4.       you use correct terminology involving quadratic formula

4.5.       you correctly labels answers

Learning objectives

What you will learn as you master the competency:

a.         Identify standard form of a quadratic equation (ax +  bx + c = 0 )

b.         Rewrite quadratic equations in standard form

c.         Identify coefficients of a quadratic equation

d.         Identify the quadratic formula [INSERT FORMULA HERE]

e.         Substitute coefficients from a quadratic equation into the quadratic formula

f.          Compute the quadratic formula after substituting coefficient values

g.         Solve any quadratic equation using the quadratic formula

h.         Solve word problems involving quadratic equations

i.          Correctly label answers after solving quadratic equations using the quadratic formula

j.          Use correct terminology involving quadratics

 

5.

Solve Quadratic Equations by factoring

 

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.       with oral and/or written instruction

 

Your performance will be successful when:

5.1.       you identify types of factoring quadratic equations

5.2.       you factor quadratic expressions

5.3.       you solve quadratic equations by factoring

5.4.       you solve word problems

5.5.       you use correct terminology involving factoring quadratic equations

5.6.       you correctly labels answers

 

Learning objectives

What you will learn as you master the competency:

a.         Identify monomial factors in an expression

b.         Factor a monomial factor from an expression

c.         Identify difference of squares in an expression

d.         Factor difference of square expressions

e.         Factor quadratic expressions of the form x 2 + bx + c

f.          Factor quadratic expressions of the form ax 2 + bx + c

g.         Solve quadratic equations using monomial factoring

h.         Solve quadratic equations using difference of squares factoring

i.          Solve quadratic equations using factoring

j.          Solve word problems using factoring

k.         Correctly label answer after solving quadratic equations by factoring

l.          Use correct terminology involving factoring

 

 

 

6.

Solve Quadratic Equations by square root property

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.       with oral and/or written instruction

 

Your performance will be successful when:

6.1.       you identify square root property

6.2.       you solve quadratic equations by the square root property

6.3.       you solve word problems

6.4.       you use correct terminology involving the square root property

6.5.       you use correct terminology involving the square root property

Learning objectives

What you will learn as you master the competency:

a.         Isolate square factor in a quadratic equation

b.         Solve quadratic equation by square rooting the factors

c.         Solve word problems using the square root property

d.         Correctly label answers after solving quadratic equation using the square root property

e.         Use correct terminology involving square root property

 

7.

Solve Quadratic Equations by completing the square

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.       with oral and/or written instruction

 

Your performance will be successful when:

7.1.       you identify completing square procedure

7.2.       you solve quadratic equations by completing the square

7.3.       you solve word problems

7.4.       you use correct terminology involving completing the square

7.5.       you correctly labels answers

Learning objectives

What you will learn as you master the competency:

a.         Isolate the second degree and first degree terms of a quadratic equation

b.         Complete the square of the quadratic equation

c.         Solve the quadratic equation by completing the square

d.         Solve word problems involving completing the square

e.         Correctly label answers after solving quadratic equation using completing the square

f.          Use correct terminology involving completing the square

 

8.

Solve Quadratic Equations by graphing

Linked Core Abilities

A.        Learn effectively

G.         Think critically and creatively

H.        Use technology

 

Performance Standards

You will demonstrate your competence:

8.1.       in a skill demonstration or by solving problems

8.2.       in individual or group setting

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

8.4.       in simulated life and/or work situations

8.5.       with oral and/or written instruction

 

Your performance will be successful when:

8.1.       you determine vertex of a quadratic equation

8.2.       you graph quadratic equations to determine solution

8.3.       you solve word problems

8.4.       you use correct terminology involving graphing of quadratic equations

8.5.       you correctly label answers

Learning objectives

What you will learn as you master the competency:

a.         Compute the x value of the vertex of a quadratic equation (-b/2a)

b.         Compute the y-value of the vertex of a quadratic equation

c.         Write the equation of the line of symmetry of a quadratic equation

d.         Set up a table of values of a quadratic equation using the determined vertex as the start

e.         Graph a quadratic equation from the table of values

f.          Determine the zeros of a quadratic equation from the graph

g.         Solve word problems involving quadratic equations

h.         Correctly label answers after solving problems involving quadratic equations

i.          Use correct terminology involving quadratic equations

 

9.

Determine algebraic functions

Linked Core Abilities

A.        Learn effectively

G.         Think critically and creatively

H.        Use technology

 

Performance Standards

You will demonstrate your competence:

9.1.       in a skill demonstration or by solving problems

9.2.       in individual or group setting

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

9.4.       in simulated life and/or work situations

9.5.       with oral and/or written instruction

 

Your performance will be successful when:

9.1.       you identify properties of a function

9.2.       you graph algebraic relations

9.3.       you use correct terminology involving functions

Learning objectives

What you will learn as you master the competency:

a.         Determine the domain of a relation

b.         Determine the range of a relation

c.         Determine if the relation is a function

d.         Graph a relation

e.         Determine if the relation is a function by using the vertical line test

f.          Use correct terminology involving functions

 

10.

Solve systems of linear equations

Linked Core Abilities

A.        Learn effectively

G.         Think critically and creatively

H.        Use technology

 

Performance Standards

You will demonstrate your competence:

10.1.     in a skill demonstration or by solving problems

10.2.     in individual or group setting

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

10.4.     in simulated life and/or work situations

10.5.     with oral and/or written instruction

 

Your performance will be successful when:

10.1.     you graph systems of linear equations

10.2.     you determine types of solutions of systems of linear equations

10.3.     you solve systems of linear equations

10.4.     you use correct terminology involving systems of linear equations

10.5.     you solve word problems

10.6.     you correctly label answers

Learning objectives

What you will learn as you master the competency:

a.         Graph a system of equations

b.         Determine the point of intersection of a system of equations (solution)

c.         Identify when a system of equations is consistent and dependent (many solutions)

d.         Identify when a system of equations is consistent and independent (one solution)

e.         Identify when a system of equations is inconsistent (no solution)

f.          Determine if the system of equations is consistent and dependent (many solutions)

g.         Determine if the system of equations is consistent and independent (one solution)

h.         Determine if the system of equations is inconsistent ( no solution)

i.          Solve a system of linear equations by graphing

j.          Solve a system of linear equations by substitution

k.         Solve a system of linear equations by elimination

l.          Solve word problems involving systems of linear equations

m.        Use correct label when problem solving

n.         Use correct terminology involving systems of linear equations

 

11.

Determine equations of linear functions

Linked Core Abilities

A.        Learn effectively

G.         Think critically and creatively

H.        Use technology

 

Performance Standards

You will demonstrate your competence:

11.1.     in a skill demonstration or by solving problems

11.2.     in individual or group setting

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

11.4.     in simulated life and/or work situations

11.5.     with oral and/or written instruction

 

Your performance will be successful when:

11.1.     you write equations of a linear function

11.2.     you write equations of perpendicular lines

11.3.     you write equations of parallel lines

11.4.     you use correct terminology

Learning objectives

What you will learn as you master the competency:

a.         Identify the slope intercept form of an equation (y = mx + b)

b.         determine the slope of an equation in the form y = mx + b

c.         Determine the y-intercept of an equation in the form y = mx + b

d.         Solve for y in a linear function (write an equation in y = mx + b form)

e.         Write an equation of a line, in y = mx + b form, given the slope and y-intercept

f.          Write an equation of a line ,in y = mx + b form, given the slope and a point on the line

g.         Write an equation of a line, in y= mx + b form, given two points on the line

h.         Write an equation in point-slope form given a point and the slope of the line y - y  = m ( x - x ) * EDIT FORMULA

i.          Write an equation in point-slope form given two points of the line

j.          Convert point-slope form of a line into slope-intercept form

k.         Identify standard form of an equation (ax + by = c)

l.          Determine if an equation of a line is in standard form

m.        Write an equation of a line in standard form given slope-intercept form

n.         Write an equation of a line in standard form given point-slope form

o.         Identify when two equations are parallel

p.         Identify when two equations are perpendicular'

q.         Identify when two equations intersect

r.          Determine if two equations are parallel

s.          Determine if two equations are perpendicular

t.          Determine if two equations are intersecting

u.         Write an equation of a line, in y = mx + b form, parallel to a given line

v.         Write an equation of a line, in y = mx + b form, perpendicular to a given line

w.        Uses correct terminology when writing equations

 

12.

Compute midpoint

Linked Core Abilities

C.         Communicate effectively

G.         Think critically and creatively

H.        Use technology

 

Performance Standards

You will demonstrate your competence:

12.1.     in a skill demonstration or by solving problems

12.2.     in individual or group setting

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

12.4.     in simulated life and/or work situations

12.5.     with oral and/or written instruction

 

Your performance will be successful when:

12.1.     you identify midpoint formula

12.2.     you calculate midpoint of two given points

12.3.     you use correct terminology involving midpoints

12.4.     you solve word problems

12.5.     you correctly label answers involving midpoint

Learning objectives

What you will learn as you master the competency:

a.         Identify the midpoint formula

b.         Calculate the midpoint of two given points

c.         Calculate the missing point given one point and the midpoint

d.         Solve word problems involving the midpoint

e.         Use correct terminology using midpoint

 

13.

Use Geometry properties

Linked Core Abilities

A.        Learn effectively

G.         Think critically and creatively

H.        Use technology

 

Performance Standards

You will demonstrate your competence:

13.1.     in a skill demonstration or by solving problems

13.2.     in individual or group setting

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

13.4.     in simulated life and/or work situations

13.5.     with oral and/or written instruction

 

Your performance will be successful when:

13.1.     you solve problems involving points

13.2.     you solve problems involving lines

13.3.     you solve problems involving planes

13.4.     you solve problems involving angles

13.5.     you solve problems involving triangles

13.6.     you solve problems involving polygons

13.7.     you use correct terminology

13.8.     you correctly label answers

Learning objectives

What you will learn as you master the competency:

a.         Identify properties of points

b.         Solve problems involving the properties of points

c.         Identify properties of lines

d.         Solve problems involving the properties of lines

e.         Identify properties of planes

f.          Solve problems involving the properties of planes

g.         Identify properties of parallel lines

h.         Solve problems involving the properties of parallel lines

i.          Identify properties of angles

j.          Solve problems involving the properties of angles

k.         Identify properties of triangles

l.          Solve problems involving the properties of triangles

m.        Identify properties of congruent triangles

n.         Solve problems involving the properties of congruent triangles

o.         Identify properties of polygons

p.         Solve problems involving the properties of polygons

q.         Use correct terminology involving point, lines, planes, angles, triangles, and polygons

r.          Correctly label all answers involving point, lines, planes, angles, triangles, and polygons

 

14.

Use Deductive Reasoning

Linked Core Abilities

A.        Learn effectively

F.         Evaluate information sources and uses

G.         Think critically and creatively

H.        Use technology

 

Performance Standards

You will demonstrate your competence:

14.1.     in a skill demonstration or by solving problems

14.2.     in individual or group setting

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

14.4.     in simulated life and/or work situations

14.5.     with oral and/or written instruction

 

Your performance will be successful when:

14.1.     you identify deductive reasoning

14.2.     you identify inductive reasoning

14.3.     you write statement/reason proofs

14.4.     you use correct terminology

Learning objectives

What you will learn as you master the competency:

a.         Identify deductive reasoning in geometry

b.         Identify inductive reasoning in geometry

c.         Write proofs using deductive reasoning involving parallel lines (classic statement-reason proofs)

d.         Write proofs using deductive reasoning involving congruent triangles(classic statement-reason proofs

e.         Write proofs using deductive reasoning involving polygons(classic statement-reason proofs)

f.          Write proofs using deductive reasoning involving any geometry relationship(classic statement-reason proofs)

 

g.         Identify indirect reasoning

h.         Write proofs using indirect reasoning involving parallel lines

i.          Write proofs using indirect reasoning involving congruent triangles

j.          Use correct terminology when writing proofs

k.         Use correct terminology when solving problems

l.          Use correct unit labels where needed in geometry problems

 

15.

Solve Special Case Triangles

Linked Core Abilities

A.        Learn effectively

G.         Think critically and creatively

H.        Use technology

 

Performance Standards

You will demonstrate your competence:

15.1.     in a skill demonstration or by solving problems

15.2.     in individual or group setting

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

15.4.     in simulated life and/or work situations

15.5.     with oral and/or written instruction

 

Your performance will be successful when:

15.1.     you solve 30-60 triangles

15.2.     you solve 45-45 triangles

15.3.     you calculate area of non-right triangles

15.4.     you use correct terminology

15.5.     you solve word problems involving triangles

15.6.     you correctly label answers

Learning objectives

What you will learn as you master the competency:

a.         Identify the properties of 30-60 triangles

b.         Solve problems involving 30-60 triangle

c.         Identify the properties of 45-45 triangles

d.         Solve problems involving 45-45 triangles

e.         Identify Heron's formula

f.          Calculate area of a triangle using Heron's formula

g.         Use correct terminology involving triangles

h.         Use correct unit labels when solving problems involving triangles

 

16.

Use Basic Right Triangle Trigonometry

Linked Core Abilities

C.         Communicate effectively

D.        Model responsible behavior

G.         Think critically and creatively

 

Performance Standards

You will demonstrate your competence:

16.1.     in a skill demonstration or by solving problems

16.2.     in individual or group setting

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

16.4.     in simulated life and/or work situations

16.5.     with oral and/or written instruction

 

Your performance will be successful when:

16.1.     you identify the basic trigonometry functions

16.2.     you calculate the basic trigonometry functions

16.3.     you solve right triangles using the basic trigonometry functions

16.4.     you solve word problems involving right triangles

16.5.     you use correct terminology

16.6.     you correctly label answers involving right triangles

16.7.     you estimate reasonableness of answer

Learning objectives

What you will learn as you master the competency:

a.         Identify the parts of a right triangle

b.         Identify the sine ratio as opposite side over hypotenuse

c.         Identify the cosine ratio as adjacent side over hypotenuse

d.         Identify the tangent ratio as opposite side over adjacent side

e.         Write the sine ratio of a given angle

f.          Write the cosine ratio of a given angle

g.         Write the tangent ratio of a given angle

h.         Calculate the sine ratio of an angle

i.          Calculate the cosine ratio of an angle

j.          Calculate the tangent ratio of an angle

k.         Calculate the angle given the sine ratio using a calculator

l.          Calculate the angle given the cosine ratio using a calculator

m.        Calculate the angle given the tangent ratio using a calculator

n.         Solve right triangles for missing side using sine, cosine, or tangent

o.         Solve right triangles for missing angle using sine, cosine, or tangent

p.         Solve word problems involving right triangle trigonometry

q.         Use correct labels when solving right triangle trigonometry

r.          Use correct trigonometry terminology