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Diagram Generation

Diagram Generation

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6.01 Patterns and Expressions

Asks student to identify patterns within a word problem and construct an expression to represent the pattern.

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6.02 Variables, Expressions, and Values

Gives student a variable and an expression, and then asks student to apply that information to solve for different scenarios and values of the variable.

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6.05 Fractions, Decimals, and Percents I

Uses images to demonstrate ratios and asks student to determine corresponding fractions, percents, and decimals.

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6.06 Decimal Place Value I

Asks student to interpret and represent monetary values using decimal place values.

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6.07 Decimal Addition and Subtraction I

Student must identify addition or subtraction, align addends or minuends and subtrahends, and complete the addition or subtraction.

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6.08 Decimal Place Value II

Asks student to interpret and represent different values using decimal place values.

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6.09 Decimal Addition and Subtraction II

Student must identify addition or subtraction, align addends or minuends and subtrahends, and complete the addition or subtraction.

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6.10 Decimal Place Value III

Asks student to interpret and represent different values using decimal place values.

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6.11 Decimal Addition and Subtraction III

Requires student to solve subtraction problems in context.

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6.14 Decimal Division

Requires student to solve a division problem in context and write a variable expression to represent the problem.

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6.15 Using Powers of 10 to Simplify Division

Student creates a ratio and then simplifies the ratio using the GCF, which is a power of 10.

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6.16 Area of Polygons

Student will find the area of geometric figures with emphasis on triangles and quadrilaterals.

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6.17 Fraction Identification

Given a contextual problem, student will partition a number line on which they will locate a fraction.

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6.18 Equivalent Fractions

Student will use number lines to compare equivalent fractions.

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6.21 Fractions, Decimals, and Percents II

Uses images to demonstrate ratios and asks student to determine corresponding fractions, percents, and decimals.

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6.24 Ratios

Requires student to solve a problem using ratios with specified scaffolded steps.

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6.25 Greatest Common Factor

Student finds all factor pairs for two numbers to determine the greatest common factor of the two numbers.

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6.26 Least Common Multiple

Student finds several consecutive multiples of two numbers to determine the least common multiple of the two numbers.

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6.27 Factors and Scaling

Asks student to compute factor or scale values using scale factor multiplication.

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6.28 Proportions

Student compares two options using common multiples, factors, or a unit rate to determine the better option.

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6.30 GCF/LCM

Asks student to identify if the problem is a GCF or LCM problem, then solve the word problem using the appropriate method.

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6.34 Similar Triangles

Asks student to use a scale factor to find missing side lengths on similar triangles.

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7.01 Problem Solving and Linear Equations I

Asks student to identify patterns within a word problem and construct an expression to represent the pattern.

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7.02 Slope-Intercept Form

Student must identify and define terms of an expression.

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7.04 Problem Solving and Linear Equations II

Asks student to identify patterns within a word problem and construct an expression to represent the pattern.

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7.05 Graph Interpretation I

Asks student to interpret data in a graph and transfer that data to a table.

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7.07 Graph Interpretation II

Student is asked to interpret different linear graphs comparing slopes and y-intercepts.

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7.12 Conversion Factors

Asks student to compute ratio conversion using scale factor multiplication or division.

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7.15 Proportional Reasoning

The student is asked to compare two options using different scaled amounts to determine which is better.

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7.16 Percents

Provides context to demonstrate ratios and asks student to determine corresponding fractions, percents, and decimals.

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7.50 Solving One-Step Linear Equations

Student solves one-step equations (no negative numbers).

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7.51 Solving Two-Step Linear Equations

Student solves two-step equations (may contain negative numbers).

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7.52 Solving Linear Equations with Parentheses

Student solves equations requiring use of distributive property (may contain negative numbers).

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7.53 Solving Multi-Step Linear Equations containing Variables and Constants on both sides

Student solves equations that have variables on both sides of the equation (contains parentheses and negative numbers).

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7.54 Solving Multi-Step Equations with Parentheses

Student solves equations requiring distributive property and combining like terms (contains negative numbers).

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8.05 Expressions, Variables, and Distributive Law

Student must identify and define terms of an equation.

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8.06 Expressions, Values, and Distributive Law

Gives student a variable and an expression, and then asks student to apply that information to solve for different scenarios and values of the variable.

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8.07 Problem Solving and Distributive Law

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8.09 Negative Rational Numbers

Gives student the opportunity to practice computing with rational numbers that are both positive and negative.

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8.11 Percents Review

Uses images to demonstrate ratios and asks student to determine corresponding fractions, percents, and decimals.

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8.12 Factors, Scaling, and Percents

Uses scale factors to relate parts of the whole and convert to percents.

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8.14 Percent Change

Student must perform calculations to determine percent change given an original value, a change in value, and the new value.

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8.17 Combinations

Provides varying numbers of different categories of objects and asks student to compute the number of possible combinations.

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8.18 Permutations

Provides varying numbers for different situations and asks student to compute the number of possible permutations.

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8.19 Converting between Exponential Forms

Student must convert between exponent and expansion forms and then evaluate or simplify the expression.

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8.20 Exponent Product Rule

Student applies exponent product rule to multiply two exponent expressions.

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8.21 Pythagorean Theorem

Application problems involving right triangles.

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8.22 Area of Polygons and Circles

Student will work with area, perimeter, or circumference.

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8.26 Interpreting Box-and-Whisker Graphs

Student will interpret information displayed on a box and whisker graph.

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8.28 Comparing Box-and-Whisker Graphs

Student will compare data displayed on two box and whisker graphs.

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#### Area, Perimeter, Circumference

6.16 Area of Polygons

Student will find the area of geometric figures with emphasis on triangles and quadrilaterals.

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8.22 Area of Polygons and Circles

Student will work with area, perimeter, or circumference.

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#### Box and Whisker Plots

8.26 Interpreting Box-and-Whisker Graphs

Student will interpret information displayed on a box and whisker graph.

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8.28 Comparing Box-and-Whisker Graphs

Student will compare data displayed on two box and whisker graphs.

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#### Fractions, Decimals, Percents, and Probability

6.05 Fractions, Decimals, and Percents I

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6.21 Fractions, Decimals, and Percents II

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6.22 Simple Probability I

Uses images and graphs to help student visualize probability.

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7.16 Percents

Provides context to demonstrate ratios and asks student to determine corresponding fractions, percents, and decimals.

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7.18 Simple Probability II

Uses images and graphs to help student visualize probability.

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8.11 Percents Review

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#### Geometry Vocabulary and Angles

6.31 Geometric Objects

Asks student to sort shapes to analyze characteristics of angles and triangles.

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6.32 Angles

Asks student to create or measure angles with a protractor.

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#### Order of Operations

7.30 Order of Operations I

Student simplifies expressions or solves equations using order of operations.

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7.35 Order of Operations II

7.35

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#### Patterns and Expressions in Tables

6.01 Patterns and Expressions

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6.02 Variables, Expressions, and Values

Gives student a variable and an expression, and then asks student to apply that information to solve for different scenarios and values of the variable.

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7.01 Problem Solving and Linear Equations I

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7.04 Problem Solving and Linear Equations II

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8.05 Expressions, Variables, and Distributive Law

Student must identify and define terms of an equation.

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8.06 Expressions, Values, and Distributive Law

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8.07 Problem Solving and Distributive Law

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#### Permutations and Combinations

8.17 Combinations

Provides varying numbers of different categories of objects and asks student to compute the number of possible combinations.

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8.18 Permutations

Provides varying numbers for different situations and asks student to compute the number of possible permutations.

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#### Pythagorean Theorem

8.21 Pythagorean Theorem

Application problems involving right triangles.

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#### Slope

7.02 Slope-Intercept Form

Student must identify and define terms of an expression.

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#### Solving Equations

7.50 Solving One-Step Linear Equations

Student solves one-step equations (no negative numbers).

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7.51 Solving Two-Step Linear Equations

Student solves two-step equations (may contain negative numbers).

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7.52 Solving Linear Equations with Parentheses

Student solves equations requiring use of distributive property (may contain negative numbers).

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7.53 Solving Multi-Step Linear Equations containing Variables and Constants on both sides

Student solves equations that have variables on both sides of the equation (contains parentheses and negative numbers).

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7.54 Solving Multi-Step Equations with Parentheses

Student solves equations requiring distributive property and combining like terms (contains negative numbers).

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7.31 Single-Step Equations I

Student solves one-step equations (all four operations).

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7.32 Multi-Step Equations I

7.32

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7.36 Single-Step Equations II

7.36

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7.37 Multi-Step Equations II

7.37

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7.38 Multi-Step Equations III

7.38

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#### Solving Percent Problems

8.14 Percent Change

Student must perform calculations to determine percent change given an original value, a change in value, and the new value.

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7.17 Percent Applications

Student finds percents using Cross Multiplication and Equivalent Fractions methods.

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#### Solving Word Problems with Pictures

6.03 Algebra in Pictures I

Asks student to model mathematical situations.

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#### Using Scale Factors and Ratios

6.15 Using Powers of 10 to Simplify Division

Student creates a ratio and then simplifies the ratio using the GCF, which is a power of 10.

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6.21 Fractions, Decimals, and Percents II

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6.27 Factors and Scaling

Asks student to compute factor or scale values using scale factor multiplication.

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6.28 Proportions

Student compares two options using common multiples, factors, or a unit rate to determine the better option.

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6.34 Similar Triangles

Asks student to use a scale factor to find missing side lengths on similar triangles.

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7.12 Conversion Factors

Asks student to compute ratio conversion using scale factor multiplication or division.

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8.12 Factors, Scaling, and Percents

Uses scale factors to relate parts of the whole and convert to percents.

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7.15 Proportional Reasoning

The student is asked to compare two options using different scaled amounts to determine which is better.

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#### Working with Decimals

6.04 Decimal Ordering

Uses an interactive number line to demonstrate decimals.

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6.06 Decimal Place Value I

Asks student to interpret and represent monetary values using decimal place values.

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6.07 Decimal Addition and Subtraction I

Student must identify addition or subtraction, align addends or minuends and subtrahends, and complete the addition or subtraction.

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6.08 Decimal Place Value II

Asks student to interpret and represent different values using decimal place values.

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6.09 Decimal Addition and Subtraction II

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6.10 Decimal Place Value III

Asks student to interpret and represent different values using decimal place values.

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6.11 Decimal Addition and Subtraction III

Requires student to solve subtraction problems in context.

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6.14 Decimal Division

Requires student to solve a division problem in context and write a variable expression to represent the problem.

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#### Working with Exponents

8.19 Converting Between Exponential Forms

Student must convert between exponent and expansion forms and then evaluate or simplify the expression.

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8.20 Exponent Product Rule

Student applies exponent product rule to multiply two exponent expressions.

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8.23 Exponent Quotient Rule

Student applies exponent quotient rule to divide two exponent expressions.

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#### Working with Fractions

6.17 Fraction Identification

Given a contextual problem, student will partition a number line on which they will locate a fraction.

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6.18 Equivalent Fractions

Student will use number lines to compare equivalent fractions.

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6.19 Fractions and Estimates

Student will locate fractions on a number line that has been calibrated with whole numbers only.

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6.20 Fraction Ordering

Given a contextual problem, student will use number lines to compare two fractions.

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6.23 Parts of the Whole

Uses contextual problems to help student visualize multiplication or division of a whole number by a fraction.

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6.24 Ratios

Requires student to solve a problem using ratios with specified scaffolded steps.

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6.25 Greatest Common Factor

Student finds all factor pairs for two numbers to determine the greatest common factor of the two numbers.

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6.26 Least Common Multiple

Student finds several consecutive multiples of two numbers to determine the least common multiple of the two numbers.

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6.30 GCF/LCM

Asks student to identify if the problem is a GCF or LCM problem, then solve the word problem using the appropriate method.

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6.36 Fraction Division

Asks student to use a number line to model division of fractions in a contextual problem.

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#### Working with Graphs

7.05 Graph Interpretation I

Asks student to interpret data in a graph and transfer that data to a table.

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7.06 Problem Solving, Equations, and Graphs I

Student is asked to determine independent and dependent quantities based on a word problem, plot points on a graph, draw a line connecting those points, and use the answers to determine the graph's linear equation in slope-intercept form.

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7.07 Graph Interpretation II

Student is asked to interpret different linear graphs comparing slopes and y-intercepts.

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7.10 Equations, Graphs, and Negative Slope

Student is asked to determine independent and dependent quantities based on a word problem, plot points on a graph, draw a line connecting those points, and use the answers to determine the graph's linear equation in slope-intercept form.

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#### Working with Integers

7.09 Negative Integers

Student works with negative integers by continuously adding and subtracting different amounts from a starting value.

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8.09 Negative Rational Numbers

Gives student the opportunity to practice computing with rational numbers that are both positive and negative.

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#### Fractions Tutor Unit 1

Fractions Getting Started

Learning how each graphical representation depicts fractions as parts of a unit.

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Fractions 1.1 Naming fractions

Naming unit fractions and proper fractions, given a graphical representation, comparing fractions with like numerators and like denominators.

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Fractions 1.2 Making fractions

Making representations given symbolic unit fractions and proper fractions, comparing fractions with like numerators and like denominators.

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Fractions 1.3 Reconstructing the unit

Reconstructing the unit of a given fraction.

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Fractions 1.4 Naming improper fractions

Naming improper fractions and mixed numbers, given a graphical representation.

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Fractions 1.5 Making improper fractions

Making representations given symbolic improper fractions and mixed numbers

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Fractions 1.6 Equivalence conceptual

Learning about what makes fractions equivalent.

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Fractions 1.7 Equivalence procedural

Finding several fractions equivalent to given unit fractions and proper fractions.

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Fractions 1.8 Comparison

Comparing fractions with unlike numerators and denominators

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Fractions 1.9 Addition

Adding fractions with like denominators and unlike denominators.

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Fractions 1.10 Subtraction

Subtracting fractions with like denominators and unlike denominators.

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#### Fractions Tutor Unit 2

Fractions 2.1 Naming fractions

Naming unit fractions and proper fractions, given a graphical representation, comparing fractions with like numerators and like denominators.

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Fractions 2.2 Making fractions

Making representations given symbolic unit fractions and proper fractions, comparing fractions with like numerators and like denominators

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Fractions 2.3 Reconstructing the unit

Reconstructing the unit of a given fraction.

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Fractions 2.4 Naming improper fractions

Naming improper fractions and mixed numbers, given a graphical representation.

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Fractions 2.5 Making improper fractions

Making representations given symbolic improper fractions and mixed numbers

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Fractions 2.6 Equivalence conceptual

Learning about what makes fractions equivalent.

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Fractions 2.7 Equivalence procedural

Finding several fractions equivalent to given unit fractions and proper fractions.

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Fractions 2.8 Comparison

Comparing fractions with unlike numerators and denominators

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Fractions 2.9 Addition

Adding fractions with like denominators and unlike denominators.

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Fractions 2.10 Subtraction

Subtracting fractions with like denominators and unlike denominators.

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#### Fractions Tutor Unit 3

Fractions 3.1 Naming fractions

Naming unit fractions and proper fractions, given a graphical representation, comparing fractions with like numerators and like denominators

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Fractions 3.2 Making fractions

Making representations given symbolic unit fractions and proper fractions, comparing fractions with like numerators and like denominators

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Fractions 3.3 Reconstructing the unit

Reconstructing the unit of a given fraction

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Fractions 3.4 Naming improper fractions

Naming improper fractions and mixed numbers, given a graphical representation

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Fractions 3.5 Making improper fractions

Making representations given symbolic improper fractions and mixed numbers

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Fractions 3.6 Equivalence conceptual

Learning about what makes fractions equivalent

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Fractions 3.7 Equivalence procedural

Finding several fractions equivalent to given unit fractions and proper fractions

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Fractions 3.8 Comparison

Comparing fractions with unlike numerators and denominators

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Fractions 3.9 Addition

Adding fractions with like denominators and unlike denominators

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Fractions 3.10 Subtraction

Subtracting fractions with like denominators and unlike denominators

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#### Modeling Real-World Problems in Algebra v1

Solving Story Problems (1/2 operators)

Solving Story Problems (1/2 operators)

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Writing Expressions in Story Problems (mainly 1 operator)

Writing Expressions in Story Problems (mainly 1 operator)

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Writing Expressions in Story Problems (2 operators)

Writing Expressions in Story Problems (2 operators)

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Explaining and Writing Expressions (1/2/3 operators)

Explaining and Writing Expressions (1/2/3 operators)

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#### Modeling Real-World Problems in Algebra v2

Writing Expressions in Story Problems with Tables (1/2 operators)

Writing Expressions in Story Problems with Tables (1/2 operators)

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Explaining and Writing Expressions (2 operators)

Explaining and Writing Expressions (2 operators)

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Explaining and Writing Expressions (3 operators)

Explaining and Writing Expressions (3 operators)

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#### Lynnette - for simplifying linear equations

Test Set

Test Set

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