Skill plan for the Tests of Adult Basic Education - 11&12 Math Level M
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Domain
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Measurement and Data
Create line plots from given data sets and explain simple characteristics
Create line plots from given data sets and explain simple characteristics
Use line plots to solve simple addition and subtraction problems
Use line plots to solve simple addition and subtraction problems
Use line plots to solve multi-step addition, subtraction, multiplication, and division problems
Use line plots to solve multi-step addition, subtraction, multiplication, and division problems
Use visual representations of arithmetic operations to bridge the concrete to the abstract (e.g., number line diagrams, area models, etc.)
Use visual representations of arithmetic operations to bridge the concrete to the abstract (e.g., number line diagrams, area models, etc.)
Find the missing side length of a rectangle given one side length and the area or perimeter
Find the missing side length of a rectangle given one side length and the area or perimeter
Extend the use of measuring tools to include measuring angles with protractors
Extend the use of measuring tools to include measuring angles with protractors
Measure angles to the nearest degree using a protractor and create angles with given measures
Measure angles to the nearest degree using a protractor and create angles with given measures
Use properties of complementary and supplementary angles to find missing angle measures in diagrams
Use properties of complementary and supplementary angles to find missing angle measures in diagrams
Extend the idea of using unit squares to find areas of rectangles to using unit cubes to find volumes of rectangular prisms
Extend the idea of using unit squares to find areas of rectangles to using unit cubes to find volumes of rectangular prisms
Find volumes of rectangular prisms by counting unit cubes and by multiplying the side lengths (using the volume formula)
Find volumes of rectangular prisms by counting unit cubes and by multiplying the side lengths (using the volume formula)
Find the missing dimension of a rectangular prism when given the other dimensions and the volume
Find the missing dimension of a rectangular prism when given the other dimensions and the volume
Geometry
Recognize points, lines, line segments, angles, and parallel and perpendicular lines in polygons and in diagrams other than those of polygons
Recognize points, lines, line segments, angles, and parallel and perpendicular lines in polygons and in diagrams other than those of polygons
Recognize points, lines, line segments, and angles and their relationships to each other (e.g., a point lies on a line) when presented in polygons and diagrams
Recognize points, lines, line segments, and angles and their relationships to each other (e.g., a point lies on a line) when presented in polygons and diagrams
Recognize points, lines, line segments, angles, and parallel and perpendicular lines in the coordinate plane
Recognize points, lines, line segments, angles, and parallel and perpendicular lines in the coordinate plane
Draw polygons with vertices at whole number coordinates in the coordinate plane
Draw polygons with vertices at whole number coordinates in the coordinate plane
Distinguish common and non-common attributes of pairs or groups of shapes
Distinguish common and non-common attributes of pairs or groups of shapes
Distinguish common and non-common attributes of pairs or groups of shapes using pictures, diagrams, and words
Identify quadrilaterals
Describe relationships
Distinguish common and non-common attributes of pairs or groups of shapes using pictures, diagrams, and words
Identify quadrilaterals
Describe relationships
Identify and create nets for given prisms and pyramids
Identify and create nets for given prisms and pyramids
Identify coordinates of points and plot points with whole number coordinates in the first quadrant of the coordinate plane
Identify coordinates of points and plot points with whole number coordinates in the first quadrant of the coordinate plane
Name parts of ordered pairs and what they describe (e.g., x-coordinate, y-coordinate)
Name parts of ordered pairs and what they describe (e.g., x-coordinate, y-coordinate)
Expressions and Equations
Write simple expressions and equations to represent real-world situations
Write simple expressions and equations to represent real-world situations
Identify and name parts of expressions and equations (e.g., terms, coefficient, variable, etc.)
Identify and name parts of expressions and equations (e.g., terms, coefficient, variable, etc.)
Solve multi-step equations involving addition, subtraction, multiplication, and division of rational numbers
One-step equations
Two-step equations
Test solutions
Solve multi-step equations involving addition, subtraction, multiplication, and division of rational numbers
One-step equations
Two-step equations
Test solutions
Write and solve expressions and equations to represent verbal descriptions (e.g., the product of twice a number, n, and 6) and real-world situations
Expressions
Equations
Write and solve expressions and equations to represent verbal descriptions (e.g., the product of twice a number, n, and 6) and real-world situations
Expressions
Equations
Write and solve expressions and equations involving the distributive property or combining like terms
Write and solve expressions and equations involving the distributive property or combining like terms
Solve one- and two-step equations involving addition, subtraction, multiplication, and/or division of whole numbers while using visual representations to show the process
Solve one- and two-step equations involving addition, subtraction, multiplication, and/or division of whole numbers while using visual representations to show the process
Use properties of addition and multiplication to justify steps in solving an equation
Use properties of addition and multiplication to justify steps in solving an equation
Write and solve multi-step equations involving addition, subtraction, multiplication, division, the distributive property, and exponents (squares and cubes) with rational numbers
Write and solve multi-step equations involving addition, subtraction, multiplication, division, the distributive property, and exponents (squares and cubes) with rational numbers
Use inverse operations to show steps in solving equations
Use inverse operations to show steps in solving equations
Number and Operations - Fractions
Use multiple representations to create equivalent fractions, especially with denominators other than 1, 2, 3, 4, 6, and 8
Use multiple representations to create equivalent fractions, especially with denominators other than 1, 2, 3, 4, 6, and 8
Solve simple, one-step, real-world problems involving addition or subtraction of fractions with different denominators or multiplication or division involving a unit fraction
Solve simple, one-step, real-world problems involving addition or subtraction of fractions with different denominators or multiplication or division involving a unit fraction
Compose and decompose fractions using addition and subtraction
Add fractions
Subtract fractions
Decompose fractions
Compose and decompose fractions using addition and subtraction
Add fractions
Subtract fractions
Decompose fractions
Solve simple, one-step, real-world problems involving addition and subtraction of fractions with the same denominators
Solve simple, one-step, real-world problems involving addition and subtraction of fractions with the same denominators
Solve simple, one-step, real-world problems involving addition and subtraction of fractions with different denominators
Solve simple, one-step, real-world problems involving addition and subtraction of fractions with different denominators
Express repeated addition of unit fractions as multiplication expressions (e.g., 1/5 + 1/5 + 1/5 = 3 x 1/5 = 3/5)
Express repeated addition of unit fractions as multiplication expressions (e.g., 1/5 + 1/5 + 1/5 = 3 x 1/5 = 3/5)
Express the division of two whole numbers as a fraction in a real-world context
Express the division of two whole numbers as a fraction in a real-world context
Use visual representations to show division of a whole number by a unit fraction
Use visual representations to show division of a whole number by a unit fraction
Use visual representations to create models of decimals and connect these to fractions
Model decimals and fractions
Compare decimals and fractions
Use visual representations to create models of decimals and connect these to fractions
Model decimals and fractions
Compare decimals and fractions
Use visual representations to compare decimals to the hundredths place
Use visual representations to compare decimals to the hundredths place
Numbers and Operations - Base Ten
Create and use multiple representations of multi-digit decimals based on place value
Create and use multiple representations of multi-digit decimals based on place value
Compare the values of digits in multi-digit numbers and observing patterns
Compare the values of digits in multi-digit numbers and observing patterns
Compare decimals to the thousandths place
Compare decimals to the thousandths place
Create and use multiple representations of addition and subtraction of multi-digit numbers, including those with more than three digits, based on place value and connect these representations to the standard algorithms (especially where regrouping is required)
Create and use multiple representations of addition and subtraction of multi-digit numbers, including those with more than three digits, based on place value and connect these representations to the standard algorithms (especially where regrouping is required)
Use various strategies for adding numbers with up to four digits
Use various strategies for adding numbers with up to four digits
Use various strategies for adding numbers, including decimals, with up to six digits
Use various strategies for adding numbers, including decimals, with up to six digits
Use various strategies to multiply two-, three-, and four-digit numbers by one-, two-, and three-digit numbers
Multiply 2-digit numbers
Multiply 3-digit numbers
Use various strategies to multiply two-, three-, and four-digit numbers by one-, two-, and three-digit numbers
Multiply 2-digit numbers
Multiply 3-digit numbers
Investigate the relationship between skip counting and multiplication and division
Investigate the relationship between skip counting and multiplication and division
Use various strategies to multiply three- and four-digit numbers by one-digit numbers
Use various strategies to multiply three- and four-digit numbers by one-digit numbers
Use various strategies to divide two-, three-, and four- digit numbers by one- and two-digit numbers
Divide 2-digit numbers by 1-digit numbers
Divide larger numbers by 1-digit numbers
Divide by 2-digit numbers
Use various strategies to divide two-, three-, and four- digit numbers by one- and two-digit numbers
Divide 2-digit numbers by 1-digit numbers
Divide larger numbers by 1-digit numbers
Divide by 2-digit numbers
Round multi-digit numbers to the thousands and ten thousands places and examine the values of the digits in each place
Round multi-digit numbers to the thousands and ten thousands places and examine the values of the digits in each place
Create models of decimals and use decimal notation
Create models of decimals and use decimal notation
Operations and Algebraic Thinking
Write and solve expressions and equations to represent real-world situations
Write and solve expressions and equations to represent real-world situations
Write and solve multi-step, real-world problems involving addition, subtraction, multiplication, division, and grouping symbols
Write and solve multi-step, real-world problems involving addition, subtraction, multiplication, division, and grouping symbols
Solve multi-step equations involving addition, subtraction, multiplication, division, and grouping symbols without context
Solve multi-step equations involving addition, subtraction, multiplication, division, and grouping symbols without context
Solve multi-step, real-world problems involving addition, subtraction, multiplication, and/or division of whole numbers while using visual representations to show the process
Solve multi-step, real-world problems involving addition, subtraction, multiplication, and/or division of whole numbers while using visual representations to show the process
Write and use two-step equations involving addition, subtraction, multiplication, division, and grouping symbols that represent real-world situations
Write and use two-step equations involving addition, subtraction, multiplication, division, and grouping symbols that represent real-world situations
Use expressions and equations to represent multiplicative relationships expressed in words
Use expressions and equations to represent multiplicative relationships expressed in words
Create, compare, and analyze multiple solution strategies and representations to investigate the relationship between multiplication and division of whole numbers
Create, compare, and analyze multiple solution strategies and representations to investigate the relationship between multiplication and division of whole numbers
Create number patterns with addition rules to investigate how they relate to multiplication and division
Create number patterns with addition rules to investigate how they relate to multiplication and division
Identify prime and composite numbers
Identify prime and composite numbers
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