ACYR Adult Basic Education Mathematics Content Standards
ABE III Beginning Basic Education
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Indicator A: Develops and applies number sense to solve a variety of real-life problems and to determine if the results are reasonable |
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A1: Develops concepts, number sense, and number relationships relating to whole numbers, fractions, decimals, and percents |
Textbooks and Resources |
Date Completed |
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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 |
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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 |
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c. Describes percents as a fraction or as parts out of 100 |
Connections 170 preGED119 Supplemental Math Goodies |
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d. Reads and writes fractions, decimals, and percents as numerals and number words |
Pre GED SV p.73,118 Supplemental Fraction Lesson
Links |
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e. Expresses and reads whole numbers between 1000 and 1,000,000,000 as numerals |
Connections 10-13 |
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f. Reads and writes whole numbers between 1000 and 1,000,000,000 as number words |
Connections 10-14 |
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g. Writes whole numbers between 1000 and 1,000,000,000 in expanded notation |
Connections 12-14 |
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h. Places in correct sequence whole numbers between 1000 and 1,000,000,000
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Connections 12 |
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i. Places in correct sequence fractions, decimals, and percents in same groups or mixed groups |
Connections |
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j. Expresses a quantity in equivalent fraction, decimal, and percent form |
Connections |
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A2: Performs the operations of addition, subtraction, multiplication, and division using whole numbers, fractions, decimals, and percents |
Supplemental:
Computation 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) |
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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 |
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b. Selects and uses correctly the operations of addition, subtraction, multiplication, and division in story problems involving fractions and decimals |
Connections 82-105 Supplemental Visual
Fractions |
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c. Identifies the whole, part, and percent in problems involving percent |
SV pre-GED 170, section 12,13 14,15 Steck-Vaughn GED 120,123,128 MH Pre GED Interactive Unit 5 Skills Bank Intermediate Proportion and Percent 1-T2 Supplemental Percent Problems |
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d. Solves word problems involving averaging of rational whole numbers, fractions, or decimals |
Steck-Vaughn GED 146-149 |
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e. Solves word problems involving the order of operations |
Connections Skillstutor Intermediate math
algebra |
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A3: Applies number theory concepts to represent numbers in various ways |
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a. States the prime factors for a given whole number |
Steck-Vaughn GED 66-68 |
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b. Names the square root of a number with a perfect square |
Connections 52-55 Supplemental Math Goodies |
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c. States the multiples of a given number |
Steck-Vaughn GED 66-68 |
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d. Defines prime and composite numbers |
Steck-Vaughn GED |
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e. Sorts numbers by their properties |
Connections Skills Bank Basic Concepts 17,18,19 |
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A4: Selects and uses appropriate techniques and information to facilitate computation while solving problems and determining the reasonableness of results |
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a. Rounds decimals to tenths, hundredths, and thousandths place |
Steck-Vaughn GED 89,91 Supplemental Rounding Exercise |
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b. Rounds fractions to nearest whole and/or half |
Steck-Vaughn GED 70-71 |
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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 |
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d. Distinguishes between relevant and irrelevant information |
Skills Bank Basic Word Problems 9 |
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e. Recognizes the degree of precision needed |
Skills Bank BM NC 5 |
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B1: Constructs, reads, analyzes and interprets graphs, tables, and charts |
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a. Interprets and analyzes data from circle and line graphs |
SV pre GED 30-31, 207-210 |
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b. Formulates questions from graphs, tables, and charts |
Steck-Vaughn GED 177-181 |
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c. Solves word problems using graphs, tables, and charts |
Steck-Vaughn GED 177-181 |
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B2: Determines probabilities through experiments and/or simulations and compares the results with prediction |
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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 |
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b. Compares the outcome of the experiment to the predictions |
Steck-Vaughn GED 148,151 |
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C1: Translates and differentiates the language of algebra |
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a. Describes and uses a variable and a constant in a real life situation |
Steck-Vaughn GED 202-207 |
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b. Defines a term, expression, equation and inequality |
Steck-Vaughn GED 202-207 |
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c. Simplifies an expression by combining like terms, e.g., 3x + 2 + 2x + 3 = 5x + 5 |
Steck-Vaughn GED 199-205 Supplemental Pre-Algebra |
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d. Translates a written phrase into an expression |
Steck-Vaughn GED 202-205 New SV 208-9,214-17, 224-25 |
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e. Correctly uses mathematical symbols <, >, =, ≠ |
Steck-Vaughn GED 212-214 |
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C2: Identifies order of operations |
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a. Uses the correct order of operations in solving algebraic expressions |
SV GED101,102,197,199 |
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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 |
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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 |
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a. Draws, measures, and classifies angles as right, acute, obtuse, straight, or reflex |
Steck-Vaughn GED 252-257 new SV 286-7 |
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b. Identifies the properties of geometric figures using definitions of similarity, congruent, and symmetry |
Steck-Vaughn GED 263-273 New SV 288,303-5 |
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c. Identifies and describes properties of alternate interior, corresponding, complementary, and supplementary angles |
Steck-Vaughn GED 252-257 New SV 290-7 |
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d. Classifies triangles by their angles and sides as equilateral, isosceles, scalene, acute, obtuse and right |
Connections |
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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 |
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E1: Estimates and uses U.S. customary and metric measurement to describe and make comparison |
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a. Converts measurement units to equivalent units within a given system |
Steck-Vaughn GED 157-163 |
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b. Compares estimated measurements between U.S. customary and metric systems and Fahrenheit and Celsius systems |
Skills Bank Basic Measurement 4 |
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E2: Estimates, uses, and describes measures of distance, perimeter, area, volume, capacity, weight, mass, and angles |
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a. Differentiates between perimeter, area, and volume of polygons and solids using concrete and illustrative modes |
Steck-Vaughn GED 244-247 |
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b. Differentiates between weight and mass |
Supplemental Explore weight |
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c. Differentiates between capacity and volume |
Supplemental measurement chart |
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d. Records estimates and measurements for: Distance in scale drawings Circumference Degrees of angles |
Skills Bank Information Skills: 2 |
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E3: Uses formulas and procedures to solve problems involving measurement |
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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 |
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