1: Number and Algebra

1.1: Number and place value

1.1.2: Investigate and use square roots of perfect square numbers

Operations with Radical Expressions
Simplifying Radical Expressions
Square Roots

1.1.3: Apply the associative, commutative and distributive laws to aid mental and written computation

Adding and Subtracting Integers
Chocomatic (Multiplication, Arrays, and Area)
Square Roots

1.1.4: Compare, order, add and subtract integers

Adding and Subtracting Integers
Adding on the Number Line
Addition of Polynomials
Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

1.2: Real numbers

1.2.2: Solve problems involving addition and subtraction of fractions, including those with unrelated denominators

Adding Fractions (Fraction Tiles)
Estimating Sums and Differences
Fractions Greater than One (Fraction Tiles)
Fractions with Unlike Denominators
Improper Fractions and Mixed Numbers

1.2.3: Multiply and divide fractions and decimals using efficient written strategies and digital technologies

Dividing Fractions
Dividing Mixed Numbers
Multiplying Mixed Numbers
Multiplying with Decimals
Square Roots

1.2.6: Connect fractions, decimals and percentages and carry out simple conversions

Percents, Fractions, and Decimals

1.2.7: Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies.

Percent of Change
Percents and Proportions

1.2.8: Recognise and solve problems involving simple ratios

Beam to Moon (Ratios and Proportions)
Estimating Population Size
Part-to-part and Part-to-whole Ratios
Proportions and Common Multipliers
Road Trip (Problem Solving)

1.3: Money and financial mathematics

1.3.1: Investigate and calculate 'best buys', with and without digital technologies

Household Energy Usage

1.4: Patterns and algebra

1.4.1: Introduce the concept of variables as a way of representing numbers using letters

Using Algebraic Expressions

1.4.3: Extend and apply the laws and properties of arithmetic to algebraic terms and expressions

Compound Interest
Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II
Exponents and Power Rules
Order of Operations
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II
Solving Algebraic Equations I
Solving Algebraic Equations II
Solving Equations on the Number Line
Using Algebraic Equations

1.5: Linear and non-linear relationships

1.5.1: Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point

City Tour (Coordinates)
Elevator Operator (Line Graphs)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Linear Functions
Point-Slope Form of a Line
Points in the Coordinate Plane
Points, Lines, and Equations
Slope

1.5.2: Solve simple linear equations

Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Solving Algebraic Equations II
Solving Equations by Graphing Each Side
Solving Two-Step Equations

2: Measurement and Geometry

2.1: Using units of measurement

2.1.1: Establish the formulas for areas of rectangles, triangles and parallelograms and use these in problem solving

Area of Parallelograms
Area of Triangles
Chocomatic (Multiplication, Arrays, and Area)
Fido's Flower Bed (Perimeter and Area)
Perimeter and Area of Rectangles

2.1.2: Calculate volumes of rectangular prisms

Prisms and Cylinders

2.3: Location and transformation

2.3.1: Describe translations, reflections in an axis, and rotations of multiples of 90° on the Cartesian plane using coordinates. Identify line and rotational symmetries

Dilations
Rotations, Reflections, and Translations

2.4: Geometric reasoning

2.4.1: Classify triangles according to their side and angle properties and describe quadrilaterals

Classifying Quadrilaterals
Classifying Triangles
Special Parallelograms

2.4.2: Demonstrate that the angle sum of a triangle is 180° and use this to find the angle sum of a quadrilateral

Isosceles and Equilateral Triangles
Polygon Angle Sum
Triangle Angle Sum

3: Statistics and Probability

3.1: Chance

3.1.1: Construct sample spaces for single-step experiments with equally likely outcomes

Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

3.1.2: Assign probabilities to the outcomes of events and determine probabilities for events

Geometric Probability
Independent and Dependent Events
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

3.2: Data representation and interpretation

3.2.2: Construct and compare a range of data displays including stem-and-leaf plots and dot plots

Box-and-Whisker Plots
Correlation
Graphing Skills
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

3.2.3: Calculate mean, median, mode and range for sets of data. Interpret these statistics in the context of data

Box-and-Whisker Plots
Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
Populations and Samples
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
Sight vs. Sound Reactions
Stem-and-Leaf Plots

* Copyright 2010 National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.