AZ Adult Education Curriculum Alignment 2008-2009

 Program:  ACYR

 ABE II: Math

 Standard: The adult learner develops and applies math strategies to a variety of situations.

 The Math Standard addresses the following Indicators:

A. Number Sense  
B. Data Analysis  
C. Algebra  
D. Geometry  
E. Measurement  
F. Logic and Reasoning (Inductive and Deductive: ASE II)

 Indicator A: Develops and applies number sense to solve a variety of real-life problems and to determine if the results are reasonable

Number Sense

Sub-Indicators

Instructional Materials

Unit(s) and/or

Chapter(s)

Additional Instructional Resources

Assessment(s)

1. Represents, orders, and compares very large and very small positive numbers (decimals, fractions, mixed numbers) using a number line.

 Skillstutor

 Math B and C
Understanding Numbers

 Number Line

 Lesson Quiz and Post Test

2. Understands the place value of whole numbers and decimals.

 

 Skillstutor

 

Steck Vaughn pre-GED math
Mc Graw Hill pre-GED

 Math B and C
Understanding Numbers

Unit 1

Chapter 1

 Important Zeros

 Lesson Quiz and Post Test

3. Multiplies and divides (long division) multi-digit whole numbers.

 

 Skillstutor

 

Steck Vaughn pre-GED math
Mc Graw Hill pre-GED math

 Math B
Using Whole Numbers
Basic Math
Prime Factorization
Unit 1

Chapter 1

 

 Lesson Quiz and Post Test

4. Identifies and uses correct order of operations.

 

 Skillstutor

Intermediate Math
Simplifying Numerical Expressions

 PEMDAS

 Lesson Quiz and Post Test

5. Understands and uses the following mathematical symbols:

⁄, ·, %, *, ( ), { }, ∠

 

 Skillstutor

Steck Vaughn pre-GED math

 Basic Math
Number Concepts

Unit 4

Math Symbols 

 Lesson Quiz and Post Test

6. Performs operations with fractions and mixed numbers.

 

 Skillstutor

 

Steck Vaughn pre-GED math
Mc Graw Hill pre-GED math

 Math B
Using Fractions and Percents
Basic Math
Computation
Unit 2

Chapter 5

Visual Fractals
Fractions  Demonstrations

 Lesson Quiz and Post Test

7. Performs operations with decimals and mixed numbers.

 

 Skillstutor

 

Steck Vaughn pre-GED math
Mc Graw Hill pre-GED math

 Math B
Using Decimals
Basic Math
Computation
Unit 3
Chapter 4

 

 

 Lesson Quiz and Post Test

8. Represents and uses numbers in equivalent forms.

 

 Skillstutor

Steck Vaughn pre-GED math
Mc Graw Hill pre-GED math

Basic Math
Computation
Lesson 12

Chapter 5,7


 Fractions, Decimals and Percents

 Lesson Quiz and Post Test

9. Estimates results of computations with whole numbers, positive fractions, mixed numbers and decimals.

 

 Skillstutor

 

 

Mc Graw Hill pre-GED math

 Math B
Using Whole Numbers
Basic Math
Computation and Word Problems

Chapter 3

 Rounding

 Lesson Quiz and Post Test

 

 

 



Indicator B: Applies data collection, data analysis, and probability to interpret, predict and/or solve real-life problems  
 

Data Analysis

Sub-Indicators

Instructional Materials

Unit(s) and/or

Chapter(s)

Additional Instructional Resources

Assessment(s)

1. Analyzes data in tables, charts, and graphs (pictographs, bar graphs, circle graphs).

 

 Skillstutor

 Math B
Working with Data

 

 Lesson Quiz and Post Test

2. Predicts the likelihood of events and quantifies it as a percent or ratio.

 

 Skillstutor

Steck Vaughn pre-GED math
Mc Graw Hill pre-GED math

 Intermediate Math
Statistics and Probability

Lesson 16
Chapter 8

 Lesson Quiz and Post Test

3. Understands the definition of mean or average and computes averages.

 

 Skillstutor

 

Steck Vaughn pre-GED math
Mc Graw Hill pre-GED math

 Intermediate Math
Statistics and Probability

Lesson 3

Chapter 8

 

 Lesson Quiz and Post Test

 

 

 

 


Indicator C: Applies algebraic concepts and methods to explore, analyze or solve real-life problems  

Algebra

Sub-Indicators

Instructional Materials

Unit(s) and/or

Chapter(s)

Additional Instructional Resources

Assessment(s)

1. Uses variables to understand and solve simple algebraic expressions.

 

 Skillstutor

 

Steck Vaughn pre-GED math
Mc Graw Hill pre-GED math

  Math B
Using Whole Numbers Equations
Basic Math
Number Concepts
Lesson 3
Chapter 9

 

 Lesson Quiz and Post Test

2. Represents simple functional relationships.

 

 Skillstutor

 

Steck Vaughn pre-GED math
Mc Graw Hill pre-GED math

  Basic Math
Computation Introduction to Ratios and Percents

Lesson 11

Chapter 6

 

 Lesson Quiz and Post Test

 

 

 

 

 

Indicator D: Uses geometric properties, relationships, and methods to identify, analyze and solve real-life problems  

Geometry

Sub-Indicators

Instructional Materials

Unit(s) and/or

Chapter(s)

Additional Instructional Resources

Assessment(s)

1. Compares, contrasts, and analyzes the attributes of, properties of and relationships between geometric shapes.

 

 Skillstutor

 

Steck Vaughn pre-GED math
Mc Graw Hill pre-GED math

  Math B
Using Geometry
Basic Math

pp 48-9

Chapter 10

 

 Lesson Quiz and Post Test

 

 

 

 

Indicator E: Applies knowledge of standard measurements to real-life situations  

Measurement

Sub-Indicators

Instructional Materials

Unit(s) and/or

Chapter(s)

Additional Instructional Resources

Assessment(s)

1. Measures with US customary and metric units.

 

 Skillstutor

 

 

Mc Graw Hill pre-GED math

  Math B
Measurement and Geometry
Basic Math
Number Concepts

Chapter 10

 Measurement Quiz

 Lesson Quiz and Post Test