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 ax2+bx+c
Modeling the Factorization of x2+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 ax2+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 x2+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 ax2+bx+c
Modeling the Factorization of x2+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: 9/16/2020