Programme of Study

WM.DF.1: consolidate their numerical and mathematical capability from key stage 2 and extend their understanding of the number system and place value to include decimals, fractions, powers and roots

Comparing and Ordering Decimals

Fraction Artist 1 (Area Models of Fractions)

Fraction Garden (Comparing Fractions)

Modeling Decimals (Area and Grid Models)

Modeling Fractions (Area Models)

Modeling Whole Numbers and Decimals (Base-10 Blocks)

Percents, Fractions, and Decimals

Sums and Differences with Decimals

Toy Factory (Set Models of Fractions)

Treasure Hunter (Decimals on the Number Line)

WM.DF.2: select and use appropriate calculation strategies to solve increasingly complex problems

WM.DF.3: use algebra to generalise the structure of arithmetic, including to formulate mathematical relationships

WM.DF.4: substitute values in expressions, rearrange and simplify expressions, and solve equations

Circles

Direct and Inverse Variation

Dividing Exponential Expressions

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Exponents and Power Rules

Modeling One-Step Equations

Modeling and Solving Two-Step Equations

Modeling the Factorization of *ax*^{2}+*bx*+*c*

Modeling the Factorization of *x*^{2}+*bx*+*c*

Multiplying Exponential Expressions

Operations with Radical Expressions

Order of Operations

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Solving Algebraic Equations II

Solving Equations on the Number Line

WM.DF.5: move freely between different numerical, algebraic, graphical and diagrammatic representations [for example, equivalent fractions, fractions and decimals, and equations and graphs]

Arithmetic Sequences

Dividing Mixed Numbers

Fraction Garden (Comparing Fractions)

Function Machines 1 (Functions and Tables)

Geometric Sequences

Improper Fractions and Mixed Numbers

Modeling Decimals (Area and Grid Models)

Modeling Fractions (Area Models)

Part-to-part and Part-to-whole Ratios

Percents, Fractions, and Decimals

Points, Lines, and Equations

WM.DF.6: develop algebraic and graphical fluency, including understanding linear and simple quadratic functions

Absolute Value with Linear Functions

Addition and Subtraction of Functions

Arithmetic Sequences

Compound Interest

Distance-Time Graphs

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Linear Functions

Quadratics in Factored Form

Quadratics in Polynomial Form

Roots of a Quadratic

Slope-Intercept Form of a Line

Translating and Scaling Functions

Using Algebraic Expressions

WM.DF.7: use language and properties precisely to analyse numbers, algebraic expressions, 2-D and 3-D shapes, probability and statistics.

Classifying Quadrilaterals

Compound Interest

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Solving Algebraic Equations I

Solving Algebraic Equations II

Using Algebraic Equations

Using Algebraic Expressions

WM.RM.2: extend and formalise their knowledge of ratio and proportion in working with measures and geometry, and in formulating proportional relations algebraically

Beam to Moon (Ratios and Proportions)

Direct and Inverse Variation

Estimating Population Size

Percents and Proportions

Proportions and Common Multipliers

WM.RM.3: identify variables and express relations between variables algebraically and graphically

Absolute Value with Linear Functions

Solving Algebraic Equations I

Using Algebraic Expressions

WM.RM.6: interpret when the structure of a numerical problem requires additive, multiplicative or proportional reasoning

WM.RM.7: explore what can and cannot be inferred in statistical and probabilistic settings, and begin to express their arguments formally.

WM.SP.3: begin to model situations mathematically and express the results using a range of formal mathematical representations

Adding Whole Numbers and Decimals (Base-10 Blocks)

Comparing and Ordering Decimals

Modeling Decimals (Area and Grid Models)

Modeling Whole Numbers and Decimals (Base-10 Blocks)

Subtracting Whole Numbers and Decimals (Base-10 Blocks)

Sums and Differences with Decimals

Treasure Hunter (Decimals on the Number Line)

Comparing and Ordering Decimals

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

Chocomatic (Multiplication, Arrays, and Area)

Factor Trees (Factoring Numbers)

Finding Factors with Area Models

Operations with Radical Expressions

Adding and Subtracting Integers

Adding on the Number Line

Addition of Polynomials

Dividing Polynomials Using Synthetic Division

Factor Trees (Factoring Numbers)

Function Machines 3 (Functions and Problem Solving)

Modeling One-Step Equations

Simplifying Algebraic Expressions I

Solving Two-Step Equations

Square Roots

Dividing Exponential Expressions

Exponents and Power Rules

Multiplying Exponential Expressions

Operations with Radical Expressions

Simplifying Radical Expressions

Square Roots

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

Modeling Decimals (Area and Grid Models)

Percent of Change

Percents and Proportions

Percents, Fractions, and Decimals

Real-Time Histogram

Time Estimation

Estimating Sums and Differences

Fraction Garden (Comparing Fractions)

Modeling Fractions (Area Models)

Percent of Change

Percents and Proportions

Percents, Fractions, and Decimals

Toy Factory (Set Models of Fractions)

Modeling Decimals (Area and Grid Models)

Modeling Whole Numbers and Decimals (Base-10 Blocks)

A.1.1: ab in place of a × b

Multiplying with Decimals

Using Algebraic Expressions

A.1.2: 3y in place of y + y + y and 3 × y

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

Using Algebraic Expressions

A.1.4: a/b in place of a ÷ b

Dividing Fractions

Dividing Mixed Numbers

Dividing Polynomials Using Synthetic Division

Using Algebraic Expressions

Absolute Value Equations and Inequalities

Chocomatic (Multiplication, Arrays, and Area)

Comparing and Ordering Decimals

Compound Interest

Factor Trees (Factoring Numbers)

Finding Factors with Area Models

Linear Functions

Linear Inequalities in Two Variables

Operations with Radical Expressions

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Solving Equations on the Number Line

Solving Linear Inequalities in One Variable

Using Algebraic Equations

A.4.1: collecting like terms

Addition and Subtraction of Functions

Addition of Polynomials

Modeling the Factorization of *ax*^{2}+*bx*+*c*

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

A.4.2: multiplying a single term over a bracket

Equivalent Algebraic Expressions II

Modeling the Factorization of *x*^{2}+*bx*+*c*

Operations with Radical Expressions

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

A.4.3: taking out common factors

Equivalent Algebraic Expressions II

Factor Trees (Factoring Numbers)

Factoring Special Products

Finding Factors with Area Models

Modeling the Factorization of *ax*^{2}+*bx*+*c*

Modeling the Factorization of *x*^{2}+*bx*+*c*

Operations with Radical Expressions

Simplifying Algebraic Expressions II

Arithmetic Sequences

Geometric Sequences

Points, Lines, and Equations

Modeling One-Step Equations

Modeling and Solving Two-Step Equations

Solving Algebraic Equations II

Solving Equations on the Number Line

Solving Two-Step Equations

City Tour (Coordinates)

Elevator Operator (Line Graphs)

Function Machines 2 (Functions, Tables, and Graphs)

Linear Functions

Point-Slope Form of a Line

Points in the Coordinate Plane

Points, Lines, and Equations

Slope

Arithmetic Sequences

Geometric Sequences

Absolute Value with Linear Functions

Quadratics in Polynomial Form

Linear Functions

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Solving Equations by Graphing Each Side

Standard Form of a Line

Cat and Mouse (Modeling with Linear Systems)

Linear Functions

Point-Slope Form of a Line

Points, Lines, and Equations

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Slope-Intercept Form)

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

Pattern Finder

Building Topographic Maps

Dilations

Perimeters and Areas of Similar Figures

Points in the Coordinate Plane

Reading Topographic Maps

Similar Figures

Fraction Artist 1 (Area Models of Fractions)

Beam to Moon (Ratios and Proportions)

Part-to-part and Part-to-whole Ratios

Beam to Moon (Ratios and Proportions)

Estimating Sums and Differences

Fraction Artist 1 (Area Models of Fractions)

Fraction Garden (Comparing Fractions)

Modeling Fractions (Area Models)

Part-to-part and Part-to-whole Ratios

Percents, Fractions, and Decimals

Proportions and Common Multipliers

Toy Factory (Set Models of Fractions)

Percents, Fractions, and Decimals

Compound Interest

Percent of Change

Percents and Proportions

Percents, Fractions, and Decimals

Polling: Neighborhood

Real-Time Histogram

Time Estimation

Area of Parallelograms

Area of Triangles

Balancing Blocks (Volume)

Perimeter and Area of Rectangles

Prisms and Cylinders

Pyramids and Cones

Area of Parallelograms

Area of Triangles

Chocomatic (Multiplication, Arrays, and Area)

Circumference and Area of Circles

Fido's Flower Bed (Perimeter and Area)

Perimeter and Area of Rectangles

City Tour (Coordinates)

Classifying Quadrilaterals

Elevator Operator (Line Graphs)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Parallelogram Conditions

Points in the Coordinate Plane

Special Parallelograms

Congruence in Right Triangles

Proving Triangles Congruent

Chords and Arcs

Circles

Classifying Quadrilaterals

Concurrent Lines, Medians, and Altitudes

Inscribed Angles

Parallelogram Conditions

Similarity in Right Triangles

Special Parallelograms

Triangle Angle Sum

Triangle Inequalities

Holiday Snowflake Designer

Reflections

Rock Art (Transformations)

Rotations, Reflections, and Translations

Similar Figures

Translations

Investigating Angle Theorems

Triangle Angle Sum

Isosceles and Equilateral Triangles

Polygon Angle Sum

Triangle Angle Sum

Circles

Classifying Quadrilaterals

Concurrent Lines, Medians, and Altitudes

Congruence in Right Triangles

Distance Formula

Isosceles and Equilateral Triangles

Parallelogram Conditions

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

Rock Art (Transformations)

Similar Figures

Similarity in Right Triangles

Special Parallelograms

Surface and Lateral Areas of Pyramids and Cones

Triangle Angle Sum

Triangle Inequalities

Distance Formula

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

Surface and Lateral Areas of Pyramids and Cones

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

Independent and Dependent Events

Probability Simulations

Spin the Big Wheel! (Probability)

Theoretical and Experimental Probability

Geometric Probability

Independent and Dependent Events

Theoretical and Experimental Probability

Box-and-Whisker Plots

Mean, Median, and Mode

Reaction Time 1 (Graphs and Statistics)

Real-Time Histogram

Sight vs. Sound Reactions

Stem-and-Leaf Plots

Elevator Operator (Line Graphs)

Histograms

Mascot Election (Pictographs and Bar Graphs)

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

Stem-and-Leaf Plots

Correlation last revised: 1/22/2020

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.