ACYR Adult Basic Education Mathematics Content Standards

ABE III Beginning Basic Education

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

 

A1: Develops concepts, number sense, and number relationships relating to whole numbers, fractions, decimals, and percents

Textbooks and Resources

Date Completed

a. Describes a fraction of any quantity as the relationship between the given numerator part(s) related to the entire number of part(s) in the whole denominator

Connections 76 pre GED SV 72
Steck-Vaughn GED 58-63
 SV pre-GED72-3
Top 50 math Skills # 6,7,11
Contemporary GED 79-80
Who Wants Pizza?
Skillstutor Math B Using Fractions and Percents
MH Pre GED Interactive Unit 3 lesson 1
Supplemental Fraction Lessons

 

b. Describes a decimal as the fractional representation of the quantity expressed as a whole number and/or tenths, hundredths, thousandths, etc.

Connections 116,119 
new SV pre-GED 116-118
Steck-Vaughn GED 104-106
Contemporary GED 53,54,111,2112
MH Pre GED Interactive Unit 2 lesson1
Skillstutor Basic Math B  Using Decimals lessons #1-4
Top 50 math Skills # 2,3,5,9,10
Supplemental Decimals

 

c. Describes percents as a fraction or as parts out of 100

Connections 170 preGED119
Steck-Vaughn GED 104
Contemporary GED 131-132
Skillstutor Math B Using Fractions and percents
Top 50 Math Skills #9,10,13
MH Pre GED Interactive Unit 5 lesson 1

Supplemental Math Goodies

 

d. Reads and writes fractions, decimals, and percents as numerals and number words

Pre GED  SV p.73,118
Steck-Vaughn GED 88,89,104-106
Top 50 Math Skills # 29, 30
MH Pre GED Interactive Unit 3 lesson 1

Supplemental Fraction Lesson Links
Fraction- simple

 

e. Expresses and reads whole numbers between 1000 and 1,000,000,000 as numerals

Connections 10-13
Steck-Vaughn GED 28-31
Skills Bank Number Concepts: Place ValueSupplemental Place Value

 

f. Reads and writes whole numbers between 1000 and 1,000,000,000 as number words

Connections 10-14
Steck-Vaughn GED 28-31
Contemporary GED
Skillstutor: Math B Understanding Numbers 
Supplemental Population Clock

 

g. Writes whole numbers between 1000 and 1,000,000,000 in expanded notation

Connections 12-14
Steck-Vaughn GED
Contemporary GED
Skills Bank Basic #Concepts 2
Supplemental

 

h. Places in correct sequence whole numbers between 1000 and 1,000,000,000

 

Connections 12
Steck-Vaughn GED 28-31Contemporary GED
Skills Bank
Supplemental 

 

i. Places in correct sequence fractions, decimals, and percents in same groups or mixed groups

Connections
Steck-Vaughn GED
Contemporary GED 138
Skills Bank Basic Math Ratios, Fractions and Percents 19-22
Top 50 Math Skills #9
Supplemental 

 

j. Expresses a quantity in equivalent fraction, decimal, and percent form

Connections 
pre GED 170-174 
 SV pre-GED 120-1 
Steck-Vaughn GED 172-175
Contemporary GED 114-117
Top 50 math Skills #9,18
Skillstutor  Intermediate Math proportions/percents 
Supplemental Decimals and Fractions
Writing Decimals as Percents there are others in this series, fractions as percents, etc
MH Pre GED Interactive Unit 3 lesson 1
Converting Fractions to decimals
More converting practice
Decimal/Fraction game

 

A2: Performs the operations of addition, subtraction, multiplication, and division using whole numbers, fractions, decimals, and percents

Supplemental: Computation
Number Power 6 all units
Fraction Basics-concepts
MH Pre GED Interactive Unit 1,2,3,5 all

Skillstutor Basic Math B Using fractions and Percents lessons 1-6,Using Decimals lessons 1-4, Using Whole Numbers lessons 3-7

% picture lesson (java)

Soccer Game

Multiplication game

 

a. Selects and uses correctly the operations of addition, subtraction, multiplication, and division in story problems involving whole numbers

Connections 22-41 new Pre GED SV 22-51
Steck-Vaughn GED 28-31 new SV 38-9, 42-7
Contemporary GED 26-27
Skills Bank Basic WP 1,2,3,4
Top 50 Math Skills #13
Supplemental Rick's Math- word problems 
MH Pre GED Interactive Unit 1,6, 

 

b. Selects and uses correctly the operations of addition, subtraction, multiplication, and division in story problems involving fractions and decimals

Connections 82-105
Steck-Vaughn GED 75-77
SV calculator ex book 4-29
Skillstutor Math B all
Top 50 Math Skills #7,8,10,12,13,19,20
MH Pre GED Interactive Unit 2,3,6

Supplemental Visual Fractions
  Rick's Math- word problems 

 

c. Identifies the whole, part, and percent in problems involving percent

SV pre-GED 170, section 12,13 14,15 
Top 50 math Skills #9,12,13,18

Steck-Vaughn GED 120,123,128
Contemporary GED 139-144

MH Pre GED Interactive Unit 5

Skills Bank Intermediate Proportion and Percent 1-T2

Supplemental Percent Problems
SV calculator ex book Lesson 11
Percent word problems- handout

 

d. Solves word problems involving averaging of rational whole numbers, fractions, or decimals

Steck-Vaughn GED 146-149
Contemporary GED 139-144
Skills Bank Word problems mixed: averages
Top 50 math Skills #3
MH Pre GED Interactive Unit 8 lesson 1 Supplemental Math 

 

e. Solves word problems involving the order of operations

Connections
SV preGED 22-51
Steck-Vaughn GED 21-29
SV calculator exercise book 4-29
MH Pre GED Interactive Unit 9 lesson 2

Skillstutor Intermediate math algebra
Top 50 Math Skills #4,8
Supplemental Operations Game

 

A3: Applies number theory concepts to represent numbers in various ways

   

a. States the prime factors for a given whole number

Steck-Vaughn GED 66-68
Skills Bank BM NC 8

Supplemental : Prime Factors
Ric's math
Math Goodies

 

b. Names the square root of a number with a perfect square

Connections 52-55
 SV GED 236-37
Contemporary GED
Skills Bank Intermediate Algebra 4
MH Pre GED Interactive Unit 9 lesson 4

Supplemental Math Goodies

 

c. States the multiples of a given number

Steck-Vaughn GED 66-68
Contemporary GED
Skillstutor Math B fractions
Supplemental  Math Goodies

 

d. Defines prime and composite numbers

Steck-Vaughn GED
Contemporary GED 293
Skills Bank Basic Concepts 8
Supplemental Prime Numbers
Ric's math-see prime numbers
(factoring)

 

e. Sorts numbers by their properties

Connections
Steck-Vaughn GED
Contemporary GED 44-46

Skills Bank Basic Concepts 17,18,19

 

A4: Selects and uses appropriate techniques and information to facilitate computation while solving problems and determining the reasonableness of results

 

a. Rounds decimals to tenths, hundredths, and thousandths place

Steck-Vaughn GED 89,91
Top 50 math Skills #1,5
Contemporary GED 70-7
MH Pre GED Interactive Unit 1 lesson 2

Supplemental Rounding Exercise

 

b. Rounds fractions to nearest whole and/or half

Steck-Vaughn GED 70-71
Top 50 Math Skills # 1,7,8,19
Supplemental 

 

c. Uses estimation to check the reasonableness of results using whole numbers, fractions, decimals, and percents in solving problems

Steck-Vaughn GED 40,41,70,71,88,89,90,91
Contemporary GED 30-35
Skills Bank Basic Concepts 9
Top 50 Math Skills # 1
MH Pre GED Interactive Unit 1 2-6
Supplemental Number Power 6

 

d. Distinguishes between relevant and irrelevant information

Skills Bank Basic Word Problems 9
Top 50 Math Skills # 1
Supplemental Number Power 6
MH Pre GED Interactive Unit 6

 

e. Recognizes the degree of precision needed

Skills Bank BM NC 5
Top 50 Math Skills # 1
Supplemental Number Power 6
MH Pre GED Interactive Unit 6

 

B1: Constructs, reads, analyzes and interprets graphs, tables, and charts

   

a. Interprets and analyzes data from circle and line graphs

SV pre GED 30-31, 207-210
Steck-Vaughn GED 177-181
Contemporary GED 177-181,186,187
Skills Bank IM S/P 3,4
Top 50 Math Skills # 32,33,24,37,38
Supplemental: Lessons on Charts and Graphs

 

b. Formulates questions from graphs, tables, and charts

Steck-Vaughn GED 177-181
Contemporary GED 177-193
Skills Bank IM SP 2,3,4
Top 50 Math Skills # 31,32,33,34,36,37,38
Supplemental

 

c. Solves word problems using graphs, tables, and charts

Steck-Vaughn GED 177-181
Contemporary GED 179-193
Top 50 Math Skills # 31,33,34,35,36,37,38
Skills Bank IM SP 2,3,4
SkillsTuto Basic Math B Working with Data lesson 1-4
Supplemental Lessons on Charts and Graphs

 

B2: Determines probabilities through experiments and/or simulations and compares the results with prediction

   

a. Predicts possible outcomes in an experiment in which the possible number of outcomes changes, e. g., two-step probability

Steck-Vaughn GED 148,151
Contemporary GED 117-120
Skills Bank IM SP 6-8
Supplemental 
Top 50 Math Skills # 40
MH Pre GED Interactive Unit 8 lesson 2

 

b. Compares the outcome of the experiment to the predictions

Steck-Vaughn GED 148,151
Contemporary GED 117-120
Skills Bank Intermediate Statistics 8
Top 50 Math Skills # 39
Supplemental 

 
   

C1: Translates and differentiates the language of algebra

   

a. Describes and uses a variable and a constant in a real life situation

Steck-Vaughn GED 202-207
new SV GED p.214-15
Top 50 Math Skills # 41,42,43,44,46,47,49
Skills Bank(tutor) Intermediate Algebra 9,10

 

b. Defines a term, expression, equation and inequality

Steck-Vaughn GED 202-207
new SV GED 208-209
Harcourt Glossary Level6
Top 50 Math Skills # 50
Skills Bank(tutor) Intermediate Algebra all
MH Pre GED Interactive Unit 9 lesson 1
Supplemental

 

c. Simplifies an expression by combining like terms, e.g., 3x + 2 + 2x + 3 = 5x + 5

Steck-Vaughn GED 199-205
new SV GED 216-17
Skills Bank Intermediate Algebra 10
Top 50 Math Skills # 43,44,50
MH Pre GED Interactive Unit 9 1-3

Supplemental Pre-Algebra

 

d. Translates a written phrase into an expression

Steck-Vaughn GED 202-205 New SV 208-9,214-17, 224-25
Contemporary GED
Skills Bank IM IA 14
Supplemental 
Dr Goody: Equations
Top 50 Math Skills # 42,43,44,46,47,50

 

e. Correctly uses mathematical symbols <, >, =, ≠

Steck-Vaughn GED 212-214
Skills Bank Basic Concepts 15

Supplemental

 

C2: Identifies order of operations

   

a. Uses the correct order of operations in solving algebraic expressions

SV GED101,102,197,199
new SV GED 210-213
Contemporary GED 47,234-235
Skills Bank Intermediate Algebra 7
Supplemental PEMDAS
Order Lesson
MH Pre GED Interactive Unit 9 lesson 2,3
Top 50 Math Skills # 41,44

 

C3. Represents and describes how changing the value of one variable in a relationship results in a change in another ("When I am 9, 3 times my age = 27. When I am 10, 3 times my age = 30. In the equation 3x = y, when x = 9, y = 27")

Steck-Vaughn GED 199 
Skills Bank Intermediate Algebra 14
Supplemental
Top 50 Math Skills # 44,46,47,50

 
   

D1: Identifies, describes and measures basic geometric shapes and angles using definitions and appropriate measuring devices, e.g., protractor, rule, compass

Harcourt Glossary Level 6
MH Pre GED Interactive Unit 7 lesson 3-6
 

a. Draws, measures, and classifies angles as right, acute, obtuse, straight, or reflex

Steck-Vaughn GED 252-257 new SV 286-7
Top 50 Math Skills #22,23
Skills Bank Intermediate Geo 4
Supplemental Angle Lesson

 

b. Identifies the properties of geometric figures using definitions of similarity, congruent, and symmetry

Steck-Vaughn GED 263-273 New SV 288,303-5
Contemporary GED 260-266
Top 50 math Skills #25
Skills Bank
Supplemental Congruency

 

c. Identifies and describes properties of alternate interior, corresponding, complementary, and supplementary angles

Steck-Vaughn GED 252-257 New SV 290-7
Contemporary GED 254,255,262
Skills Bank Int. Math Geometry 4,5
Top 50 Math Skills #22
Supplemental Angles

 

d. Classifies triangles by their angles and sides as equilateral, isosceles, scalene, acute, obtuse and right

Connections
Steck-Vaughn GED 260-263 new SV 298-9
Contemporary GED 252,253,257-260
Top 50 math Skills #23
Supplemental Math Goodies- includes finding area
Triangles

 

e. Labels and identifies the characteristics of a circle, cylinder, parallelogram, pentagon, hexagon, octagon, decagon, rhombus, and trapezoid, e.g., radius, diameter, base, height

Steck-Vaughn GED 166-173, 244-249
new SV 300-1
Flash Shapes
Contemporary GED 224,225,238,239
Skills Bank BM measurement 8
Supplemental Math Goodies

 
   

E1: Estimates and uses U.S. customary and metric measurement to describe and make comparison

   

a. Converts measurement units to equivalent units within a given system

Steck-Vaughn GED 157-163
New SV 282-3
Contemporary GED 165-175
Top 50 Math Skills # 15,16,17,21
Skills Bank Intermediate Geometry 2
Supplemental Sharks Activity
Measurement lessons
Supplemental Comparing Countries
MH Pre GED Interactive Unit 7 lesson 1,2,3

 

b. Compares estimated measurements between U.S. customary and metric systems and Fahrenheit and Celsius systems

Skills Bank Basic Measurement 4
Top 50 Math Skills # 16,17
Supplemental 

 

E2: Estimates, uses, and describes measures of distance, perimeter, area, volume, capacity, weight, mass, and angles

   

a. Differentiates between perimeter, area, and volume of polygons and solids using concrete and illustrative modes

Steck-Vaughn GED 244-247
Contemporary GED 248-251
Skills Bank Basic Measurement 10
Supplemental  Math Goodies Lesson
Runways

 

b. Differentiates between weight and mass

Supplemental Explore weight

 

c. Differentiates between capacity and volume

Supplemental measurement chart

 

d. Records estimates and measurements for:

Distance in scale drawings

Circumference

Degrees of angles

Skills Bank Information Skills: 2
Int. Math Geometry 4-7
Top 50 Math #20
Supplemental  Math Goodies
Travel Time

 

E3: Uses formulas and procedures to solve problems involving measurement

   

a. Uses given formulas to find:

Area and perimeter of simple polygons

Surface area of rectangular containers

Volume of rectangular containers

Connections p.48-49
SV preGED 22-3,52-3,56-7,122
SV GED 274-80
Contemporary GED 245-247
Skills Bank (tutor)Intermediate Geometry 6
Supplemental Area of Triangles and Parallelograms (lesson Plan)
MH Pre GED Interactive Unit 7 lesson3,4,5