IXL skill plan | Math 7th grade plan for the ACT® Aspire

Skill plan for the ACT^® Aspire - Math 7th grade

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Emerging
Ratios and Proportional Reasoning
Recognize that two equal rates form proportional relationships		1. Do the ratios form a proportion? 2. Do the ratios form a proportion: word problems
Recognize that two equal rates form proportional relationships
1. Do the ratios form a proportion? 2. Do the ratios form a proportion: word problems

Compare quantities and ratios		1. Equivalent ratios: word problems 2. Compare ratios: word problems
Compare quantities and ratios
1. Equivalent ratios: word problems 2. Compare ratios: word problems
The Number System
Identify even or odd integers
Identify even or odd integers


Represent positive and negative numbers on number lines		1. Integers on number lines 2. Graph integers on horizontal and vertical number lines
Represent positive and negative numbers on number lines
1. Integers on number lines 2. Graph integers on horizontal and vertical number lines
Expressions and Equations
Solve one-step equations with whole numbers		1. Solve one-step equations with whole numbers
Solve one-step equations with whole numbers
1. Solve one-step equations with whole numbers

Use inverse operations to solve equations		1. Model and solve equations using algebra tiles
Use inverse operations to solve equations
1. Model and solve equations using algebra tiles
Geometry
Sketch geometric figures with given conditions
Sketch geometric figures with given conditions


Understand the area formula and find the area of rectangles		1. Area of rectangles and squares
Understand the area formula and find the area of rectangles
1. Area of rectangles and squares

Identify right prisms
Identify right prisms


Model geometric figures		1. Nets of three-dimensional figures 2. Front, side, and top view
Model geometric figures
1. Nets of three-dimensional figures 2. Front, side, and top view
Statistics and Probability
Understand the probability of an event is between 0 and 1 and that probabilities closer to 1 have a higher likelihood		1. Probability of simple events
Understand the probability of an event is between 0 and 1 and that probabilities closer to 1 have a higher likelihood
1. Probability of simple events
Modeling
Create diagrams to represent relationships
Create diagrams to represent relationships

Justification and Explanation
Explain patterns		1. Write variable expressions for arithmetic sequences
Explain patterns
1. Write variable expressions for arithmetic sequences

Generate sequences		1. Evaluate variable expressions for sequences
Generate sequences
1. Evaluate variable expressions for sequences

Identify errors in reasoning
Identify errors in reasoning


Draw conclusions from two or more statements		1. Guess-and-check word problems 2. Use Venn diagrams to solve problems
Draw conclusions from two or more statements
1. Guess-and-check word problems 2. Use Venn diagrams to solve problems
Integrating Essential Skills
Understand rates and ratios		1. Understanding ratios 2. Unit rates
Understand rates and ratios
1. Understanding ratios 2. Unit rates

Determine the sign of a product or quotient of integers		1. Integer multiplication rules 2. Integer division rules
Determine the sign of a product or quotient of integers
1. Integer multiplication rules 2. Integer division rules

Add and subtract fractions		1. Add and subtract fractions 2. Add and subtract mixed numbers
Add and subtract fractions
1. Add and subtract fractions 2. Add and subtract mixed numbers

Differentiate between expressions and equations		1. Identify expressions and equations
Differentiate between expressions and equations
1. Identify expressions and equations

Find scale factors		1. Scale drawings: scale factor word problems
Find scale factors
1. Scale drawings: scale factor word problems

Find the area of rectangles		1. Area of rectangles and squares
Find the area of rectangles
1. Area of rectangles and squares

Differentiate between samples and populations		1. Populations and samples
Differentiate between samples and populations
1. Populations and samples

Close
Ratios and Proportional Reasoning
Use equations of proportional relationships to solve problems		1. Find a value using proportional equations: word problems
Use equations of proportional relationships to solve problems
1. Find a value using proportional equations: word problems

Use proportions to solve problems		1. Solve proportions 2. Solve proportions: word problems
Use proportions to solve problems
1. Solve proportions 2. Solve proportions: word problems
The Number System
Describe real-world situations with rational numbers		1. Understanding integers
Describe real-world situations with rational numbers
1. Understanding integers

Recognize and make sense of math concepts in the real-world		1. Understanding fractions: word problems 2. Identify quotients of rational numbers: word problems
Recognize and make sense of math concepts in the real-world
1. Understanding fractions: word problems 2. Identify quotients of rational numbers: word problems
Expressions and Equations
Solve one-step equations with fractions		1. Solve one-step addition and subtraction equations with fractions 2. Solve one-step multiplication and division equations with fractions
Solve one-step equations with fractions
1. Solve one-step addition and subtraction equations with fractions 2. Solve one-step multiplication and division equations with fractions
Geometry
Recognize quadrilaterals by their characteristics or structure		1. Classify quadrilaterals I 2. Classify quadrilaterals II
Recognize quadrilaterals by their characteristics or structure
1. Classify quadrilaterals I 2. Classify quadrilaterals II

Differentiate between area, perimeter, and circumference and understand the relationship between them		1. Rectangles: relationship between perimeter and area
Differentiate between area, perimeter, and circumference and understand the relationship between them
1. Rectangles: relationship between perimeter and area

Understand the volume formula and find the volume of rectangular prisms		1. Volume of cubes and rectangular prisms
Understand the volume formula and find the volume of rectangular prisms
1. Volume of cubes and rectangular prisms
Statistics and Probability
Use frequency summaries to estimate probability		1. Experimental probability
Use frequency summaries to estimate probability
1. Experimental probability
Modeling
Relate quantities in equations and tables		1. Identify independent and dependent variables in tables and graphs 2. Identify independent and dependent variables
Relate quantities in equations and tables
1. Identify independent and dependent variables in tables and graphs 2. Identify independent and dependent variables

Identify appropriate geometric models of shapes that include triangles, rectangles, and circles
Identify appropriate geometric models of shapes that include triangles, rectangles, and circles

Justification and Explanation
Use conditional statements
Use conditional statements


Create visual representations		1. Maps with fractional distances
Create visual representations
1. Maps with fractional distances

Explain procedures		1. Write equivalent expressions using properties
Explain procedures
1. Write equivalent expressions using properties

Provide counterexamples
Provide counterexamples


Use patterns to draw conclusions		1. Sequences: word problems
Use patterns to draw conclusions
1. Sequences: word problems

Support claims and draw conclusions		1. Estimate population size using proportions
Support claims and draw conclusions
1. Estimate population size using proportions
Integrating Essential Skills
Solve proportions		1. Solve proportions
Solve proportions
1. Solve proportions

Solve problems involving fractions		Addition and subtraction 1. Add and subtract fractions: word problems 2. Add and subtract mixed numbers: word problems Multiplication and division 3. Multiply fractions and mixed numbers: word problems 4. Divide fractions and mixed numbers: word problems
Solve problems involving fractions
Addition and subtraction 1. Add and subtract fractions: word problems 2. Add and subtract mixed numbers: word problems Multiplication and division 3. Multiply fractions and mixed numbers: word problems 4. Divide fractions and mixed numbers: word problems

Use algebraic expressions and linear equations		Expressions 1. Multiply using the distributive property 2. Add and subtract linear expressions 3. Identify equivalent linear expressions using algebra tiles Equations 4. Solve one-step equations
Use algebraic expressions and linear equations
Expressions 1. Multiply using the distributive property 2. Add and subtract linear expressions 3. Identify equivalent linear expressions using algebra tiles Equations 4. Solve one-step equations

Solve scale factor problems		1. Scale drawings: word problems 2. Scale drawings: scale factor word problems
Solve scale factor problems
1. Scale drawings: word problems 2. Scale drawings: scale factor word problems

Solve problems involving area		Polygons 1. Area of rectangles and parallelograms 2. Area of triangles and trapezoids 3. Area and perimeter: word problems Circles 4. Area of circles
Solve problems involving area
Polygons 1. Area of rectangles and parallelograms 2. Area of triangles and trapezoids 3. Area and perimeter: word problems Circles 4. Area of circles

Explain characteristics of samples		1. Identify representative, random, and biased samples
Explain characteristics of samples
1. Identify representative, random, and biased samples

Ready
Ratios and Proportional Relationships
Solve multi-step problems with equations, proportions, ratios, and percentages		1. Multi-step problems with percents 2. Multi-step word problems with positive rational numbers 3. Multi-step word problems: identify reasonable answers
Solve multi-step problems with equations, proportions, ratios, and percentages
1. Multi-step problems with percents 2. Multi-step word problems with positive rational numbers 3. Multi-step word problems: identify reasonable answers

Use ratios and proportions to find percentages		1. Percents of numbers and money amounts 2. Percents of numbers: word problems 3. Solve percent equations 4. Solve percent equations: word problems
Use ratios and proportions to find percentages
1. Percents of numbers and money amounts 2. Percents of numbers: word problems 3. Solve percent equations 4. Solve percent equations: word problems
The Number System
Identify integers, their opposites, and quantities that combine to zero		1. Absolute value and opposite integers 2. Quantities that combine to zero: word problems
Identify integers, their opposites, and quantities that combine to zero
1. Absolute value and opposite integers 2. Quantities that combine to zero: word problems

Perform operations with rational numbers		Integers 1. Add and subtract integers 2. Multiply and divide integers 3. Add, subtract, multiply, and divide integers Decimals 4. Add and subtract positive and negative decimals 5. Multiply and divide positive and negative decimals Fractions 6. Add and subtract positive and negative fractions 7. Multiply and divide positive and negative fractions Rational numbers 8. Add and subtract rational numbers 9. Multiply and divide rational numbers
Perform operations with rational numbers
Integers 1. Add and subtract integers 2. Multiply and divide integers 3. Add, subtract, multiply, and divide integers Decimals 4. Add and subtract positive and negative decimals 5. Multiply and divide positive and negative decimals Fractions 6. Add and subtract positive and negative fractions 7. Multiply and divide positive and negative fractions Rational numbers 8. Add and subtract rational numbers 9. Multiply and divide rational numbers

Solve numerical problems with operations using the order of operations		Real-world problems 1. Add and subtract integers: word problems 2. Add, subtract, multiply, and divide decimals: word problems 3. Maps with decimal distances 4. Add, subtract, multiply, and divide fractions and mixed numbers: word problems Order of operations 5. Evaluate numerical expressions involving integers 6. Evaluate numerical expressions involving decimals 7. Evaluate numerical expressions involving fractions
Solve numerical problems with operations using the order of operations
Real-world problems 1. Add and subtract integers: word problems 2. Add, subtract, multiply, and divide decimals: word problems 3. Maps with decimal distances 4. Add, subtract, multiply, and divide fractions and mixed numbers: word problems Order of operations 5. Evaluate numerical expressions involving integers 6. Evaluate numerical expressions involving decimals 7. Evaluate numerical expressions involving fractions
Equations and Expressions
Solve multi-step equations with whole numbers, fractions, and decimals		1. Solve equations with positive numbers 2. Solve equations with positive numbers: with parentheses
Solve multi-step equations with whole numbers, fractions, and decimals
1. Solve equations with positive numbers 2. Solve equations with positive numbers: with parentheses
Geometry
Use supplementary, complementary, vertical, and adjacent angles to find unknown angles in diagrams		1. Identify complementary, supplementary, vertical, and adjacent angles 2. Find measures of complementary, supplementary, vertical, and adjacent angles
Use supplementary, complementary, vertical, and adjacent angles to find unknown angles in diagrams
1. Identify complementary, supplementary, vertical, and adjacent angles 2. Find measures of complementary, supplementary, vertical, and adjacent angles

Solve problems involving circles, parallelograms, trapezoids, and triangles		Circles 1. Area of circles 2. Circumference of circles 3. Semicircles: calculate area, perimeter, radius, and diameter 4. Circles: word problems Parallelograms, trapezoids, and triangles 5. Area of rectangles and parallelograms 6. Area of triangles and trapezoids
Solve problems involving circles, parallelograms, trapezoids, and triangles
Circles 1. Area of circles 2. Circumference of circles 3. Semicircles: calculate area, perimeter, radius, and diameter 4. Circles: word problems Parallelograms, trapezoids, and triangles 5. Area of rectangles and parallelograms 6. Area of triangles and trapezoids

Find the surface area of rectangular prisms		1. Surface area of cubes and rectangular prisms
Find the surface area of rectangular prisms
1. Surface area of cubes and rectangular prisms

Find the volume of rectangular prisms		1. Volume of cubes and prisms
Find the volume of rectangular prisms
1. Volume of cubes and prisms

Use calculators and rounding strategies to solve problems about scale diagrams		1. Scale drawings: word problems
Use calculators and rounding strategies to solve problems about scale diagrams
1. Scale drawings: word problems
Statistics and Probability
Find the probability of compound events using tree diagrams		1. Compound events: find the number of outcomes 2. Compound events: find the number of sums 3. Probability of compound events
Find the probability of compound events using tree diagrams
1. Compound events: find the number of outcomes 2. Compound events: find the number of sums 3. Probability of compound events

Differentiate between experimental and theoretical probability		1. Probability of simple events 2. Experimental probability
Differentiate between experimental and theoretical probability
1. Probability of simple events 2. Experimental probability
Modeling
Use equations to represent relationships		1. Choose one-step equations: word problems
Use equations to represent relationships
1. Choose one-step equations: word problems

Select geometric models of shapes		1. Nets of three-dimensional figures
Select geometric models of shapes
1. Nets of three-dimensional figures

Find angle measures in geometric diagrams		1. Find measures of complementary, supplementary, vertical, and adjacent angles
Find angle measures in geometric diagrams
1. Find measures of complementary, supplementary, vertical, and adjacent angles

Begin to explain the algebraic definitions of even numbers
Begin to explain the algebraic definitions of even numbers


Use tables to understand data and solve problems		1. Interpret tables
Use tables to understand data and solve problems
1. Interpret tables

Visualize rectangular prisms to find surface area		1. Surface area of cubes and rectangular prisms
Visualize rectangular prisms to find surface area
1. Surface area of cubes and rectangular prisms
Justification and Explanation
Use conditional statements, visual representations, computations, and procedures		1. Solve percent problems using strip models 2. Identify proportional relationships by graphing
Use conditional statements, visual representations, computations, and procedures
1. Solve percent problems using strip models 2. Identify proportional relationships by graphing

Justify conclusions by verifying claims, explaining errors in reasoning, and providing counterexamples		1. Which is the better coupon? 2. Identify proportional relationships from graphs and equations 3. Identify proportional relationships from tables
Justify conclusions by verifying claims, explaining errors in reasoning, and providing counterexamples
1. Which is the better coupon? 2. Identify proportional relationships from graphs and equations 3. Identify proportional relationships from tables
Integrating Essential Skills
Apply understanding of proportional relationships		Constant of proportionality 1. Find the constant of proportionality from a table 2. Find the constant of proportionality from a graph Graphs of proportional relationships 3. Complete a table and graph a proportional relationship 4. Graph a proportional relationship: word problems 5. Interpret graphs of proportional relationships
Apply understanding of proportional relationships
Constant of proportionality 1. Find the constant of proportionality from a table 2. Find the constant of proportionality from a graph Graphs of proportional relationships 3. Complete a table and graph a proportional relationship 4. Graph a proportional relationship: word problems 5. Interpret graphs of proportional relationships

Apply operations with rational numbers		1. Apply addition and subtraction rules 2. Apply multiplication and division rules
Apply operations with rational numbers
1. Apply addition and subtraction rules 2. Apply multiplication and division rules

Apply understanding of algebraic expressions and linear equations		Expressions 1. Identify equivalent linear expressions I 2. Identify equivalent linear expressions II 3. Identify equivalent linear expressions: word problems Equations 4. Solve two-step equations 5. Solve equations involving like terms
Apply understanding of algebraic expressions and linear equations
Expressions 1. Identify equivalent linear expressions I 2. Identify equivalent linear expressions II 3. Identify equivalent linear expressions: word problems Equations 4. Solve two-step equations 5. Solve equations involving like terms

Solve problems involving scale and simple geometric constructions		1. Perimeter and area: changes in scale
Solve problems involving scale and simple geometric constructions
1. Perimeter and area: changes in scale

Solve problems involving surface area and volume		1. Volume of cubes and prisms 2. Volume of cubes and rectangular prisms: word problems 3. Surface area of cubes and prisms
Solve problems involving surface area and volume
1. Volume of cubes and prisms 2. Volume of cubes and rectangular prisms: word problems 3. Surface area of cubes and prisms

Use samples to draw conclusions about populations		1. Estimate population size using proportions
Use samples to draw conclusions about populations
1. Estimate population size using proportions

Use angle measures to make circle graphs		1. Circle graphs and central angles
Use angle measures to make circle graphs
1. Circle graphs and central angles

Exceeding
Ratios and Proportional Reasoning
Solve problems involving percentages, rates, and discounts using proportional reasoning		1. Compare rates: word problems 2. Solve percent equations: word problems 3. Percent of a number: tax, discount, and more 4. Find the percent: tax, discount, and more
Solve problems involving percentages, rates, and discounts using proportional reasoning
1. Compare rates: word problems 2. Solve percent equations: word problems 3. Percent of a number: tax, discount, and more 4. Find the percent: tax, discount, and more

Make sense of quantities and relationships		1. Unit prices with unit conversions
Make sense of quantities and relationships
1. Unit prices with unit conversions

Provide answers with an appropriate level of precision		1. Precision
Provide answers with an appropriate level of precision
1. Precision
The Number System
Apply properties of rational numbers to justify thinking		1. Rational numbers: find the sign
Apply properties of rational numbers to justify thinking
1. Rational numbers: find the sign

Solve problems involving operations with rational numbers		Real-world problems 1. Multi-step word problems with positive rational numbers 2. Price lists 3. Unit prices: find the total price Evaluate variable expressions 4. Evaluate linear expressions 5. Evaluate multi-variable expressions
Solve problems involving operations with rational numbers
Real-world problems 1. Multi-step word problems with positive rational numbers 2. Price lists 3. Unit prices: find the total price Evaluate variable expressions 4. Evaluate linear expressions 5. Evaluate multi-variable expressions

Provide answers with an appropriate level of precision		1. Precision
Provide answers with an appropriate level of precision
1. Precision

Provide examples that show general understanding but do not extend to other cases		Integers 1. Integer addition and subtraction rules 2. Integer multiplication and division rules Rational numbers 3. Apply addition and subtraction rules 4. Apply multiplication and division rules
Provide examples that show general understanding but do not extend to other cases
Integers 1. Integer addition and subtraction rules 2. Integer multiplication and division rules Rational numbers 3. Apply addition and subtraction rules 4. Apply multiplication and division rules
Expressions and Equations
Apply properties of operations to algebraic expressions with rational coefficients		1. Multiply using the distributive property 2. Write equivalent expressions using properties
Apply properties of operations to algebraic expressions with rational coefficients
1. Multiply using the distributive property 2. Write equivalent expressions using properties

Represent and solve real-world problems using equations and inequalities		1. Solve two-step equations: word problems 2. One-step inequalities: word problems 3. Evaluate two-variable equations: word problems
Represent and solve real-world problems using equations and inequalities
1. Solve two-step equations: word problems 2. One-step inequalities: word problems 3. Evaluate two-variable equations: word problems

Make sense of quantities, units, and relationships		1. Calculate unit rates with fractions 2. Unit prices with unit conversions
Make sense of quantities, units, and relationships
1. Calculate unit rates with fractions 2. Unit prices with unit conversions

Provide answers to an appropriate level of precision and round appropriately in problems involving inequalities
Provide answers to an appropriate level of precision and round appropriately in problems involving inequalities

Geometry
Apply the properties of interior angles of polygons to find unknown angle measures		Triangles 1. Find missing angles in triangles 2. Find missing angles in triangles using ratios Quadrilaterals 3. Find missing angles in quadrilaterals I 4. Find missing angles in quadrilaterals II Polygons 5. Interior angles of polygons
Apply the properties of interior angles of polygons to find unknown angle measures
Triangles 1. Find missing angles in triangles 2. Find missing angles in triangles using ratios Quadrilaterals 3. Find missing angles in quadrilaterals I 4. Find missing angles in quadrilaterals II Polygons 5. Interior angles of polygons

Use characteristics of figures to solve problems		1. Triangle inequality
Use characteristics of figures to solve problems
1. Triangle inequality

Solve problems involving the area and circumference of circles and the area of rectilinear figures in scale drawings		1. Circles: word problems
Solve problems involving the area and circumference of circles and the area of rectilinear figures in scale drawings
1. Circles: word problems

Explain how to find surface area and volume of right prisms and use this knowledge to solve problems		1. Volume of cubes and prisms 2. Surface area of cubes and prisms
Explain how to find surface area and volume of right prisms and use this knowledge to solve problems
1. Volume of cubes and prisms 2. Surface area of cubes and prisms

Solve problems that involve scale		1. Perimeter and area: changes in scale
Solve problems that involve scale
1. Perimeter and area: changes in scale

Recognize that composite shapes are made of several shapes		1. Area of compound figures with triangles 2. Area of compound figures with triangles, semicircles, and quarter circles
Recognize that composite shapes are made of several shapes
1. Area of compound figures with triangles 2. Area of compound figures with triangles, semicircles, and quarter circles
Statistics and Probability
Use probability models and compare theoretical and experimental probabilities		1. Make predictions using experimental probability 2. Make predictions using theoretical probability
Use probability models and compare theoretical and experimental probabilities
1. Make predictions using experimental probability 2. Make predictions using theoretical probability

Find the probability of events with and without replacement		1. Probability of independent and dependent events
Find the probability of events with and without replacement
1. Probability of independent and dependent events

Draw conclusions about populations from random samples		1. Estimate population size using proportions
Draw conclusions about populations from random samples
1. Estimate population size using proportions
Modeling
Use geometric models and diagrams to solve problems		1. Write and solve equations that represent diagrams 2. Cross sections of three-dimensional figures
Use geometric models and diagrams to solve problems
1. Write and solve equations that represent diagrams 2. Cross sections of three-dimensional figures

Make sense of proportional relationships in tables		1. Find the constant of proportionality from a table 2. Write equations for proportional relationships from tables 3. Identify proportional relationships from tables
Make sense of proportional relationships in tables
1. Find the constant of proportionality from a table 2. Write equations for proportional relationships from tables 3. Identify proportional relationships from tables

Convert temperatures between Kelvin, Celsius, and Fahrenheit scales		1. Celsius and Fahrenheit temperatures
Convert temperatures between Kelvin, Celsius, and Fahrenheit scales
1. Celsius and Fahrenheit temperatures

Write inequalities to represent real-world problems
Write inequalities to represent real-world problems


Use models and surface area to find missing side lengths in rectangular prisms
Use models and surface area to find missing side lengths in rectangular prisms


Write numerical expressions to find the distance between points on a number line		1. Subtract integers using number lines
Write numerical expressions to find the distance between points on a number line
1. Subtract integers using number lines

Explain algebraic definitions of even and odd numbers
Explain algebraic definitions of even and odd numbers

Justification and Explanation
Support claims with evidence and clear solution paths		1. Write equivalent expressions using properties 2. Solve equations: complete the solution
Support claims with evidence and clear solution paths
1. Write equivalent expressions using properties 2. Solve equations: complete the solution

Thoroughly justify conclusions by explaining errors in reasoning and providing counterexamples		1. Identify proportional relationships by graphing
Thoroughly justify conclusions by explaining errors in reasoning and providing counterexamples
1. Identify proportional relationships by graphing
Integrating Essential Skills
Analyze and solve multi-step problems with proportions		1. Write and solve equations for proportional relationships 2. Multi-step problems with percents
Analyze and solve multi-step problems with proportions
1. Write and solve equations for proportional relationships 2. Multi-step problems with percents

Extend understanding of fractions to perform operations with rational numbers		1. Add and subtract rational numbers 2. Multiply and divide rational numbers
Extend understanding of fractions to perform operations with rational numbers
1. Add and subtract rational numbers 2. Multiply and divide rational numbers

Generate equivalent numerical expressions		1. Equal quotients of integers
Generate equivalent numerical expressions
1. Equal quotients of integers

Evaluate expressions and solve equations in context		1. Evaluate variable expressions: word problems 2. Solve two-step equations: word problems 3. Evaluate two-variable equations: word problems
Evaluate expressions and solve equations in context
1. Evaluate variable expressions: word problems 2. Solve two-step equations: word problems 3. Evaluate two-variable equations: word problems

Draw geometric figures and describe relationships between them		1. Graph triangles and quadrilaterals
Draw geometric figures and describe relationships between them
1. Graph triangles and quadrilaterals

Solve real-world problems involving angles, area, surface area, and volume		1. Area and perimeter: word problems 2. Circles: word problems 3. Volume of cubes and rectangular prisms: word problems
Solve real-world problems involving angles, area, surface area, and volume
1. Area and perimeter: word problems 2. Circles: word problems 3. Volume of cubes and rectangular prisms: word problems

Interpret circle graphs		1. Interpret circle graphs
Interpret circle graphs
1. Interpret circle graphs

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