1: Number

1.1: Develop number sense.

1.1.2: Demonstrate an understanding of the addition, subtraction, multiplication and division of decimals to solve problems (for more than 1-digit divisors or 2-digit multipliers, the use of technology is expected).

Multiplying with Decimals
Sums and Differences with Decimals

1.1.3: Solve problems involving percents from 1% to 100%.

Percents and Proportions

1.1.5: Demonstrate an understanding of adding and subtracting positive fractions and mixed numbers, with like and unlike denominators, concretely, pictorially and symbolically (limited to positive sums and differences).

Fractions Greater than One (Fraction Tiles)
Fractions with Unlike Denominators
Improper Fractions and Mixed Numbers

1.1.6: Demonstrate an understanding of addition and subtraction of integers, concretely, pictorially and symbolically.

Adding and Subtracting Integers
Adding and Subtracting Integers with Chips
Adding on the Number Line
Addition of Polynomials

1.1.7: Compare and order positive fractions, positive decimals (to thousandths) and whole numbers by using:

1.1.7.b: place value

Comparing and Ordering Decimals

1.1.7.c: equivalent fractions and/or decimals.

Adding Fractions (Fraction Tiles)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)

2: Patterns and Relations

2.1: Use patterns to describe the world and to solve problems.

2.1.2: Create a table of values from a linear relation, graph the table of values, and analyze the graph to draw conclusions and solve problems.

Function Machines 1 (Functions and Tables)
Introduction to Functions

2.2: Represent algebraic expressions in multiple ways.

2.2.3: Demonstrate an understanding of preservation of equality by:

2.2.3.a: modelling preservation of equality, concretely, pictorially and symbolically

Solving Equations on the Number Line

2.2.3.b: applying preservation of equality to solve 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

2.2.4: Explain the difference between an expression and an equation.

Compound Interest
Using Algebraic Equations

2.2.5: Evaluate an expression, given the value of the variable(s).

Equivalent Algebraic Expressions I
Solving Equations by Graphing Each Side
Solving Equations on the Number Line

2.2.6: Model and solve, concretely, pictorially and symbolically, problems that can be represented by one-step linear equations of the form x + a = b, where a and b are integers.

Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Solving Algebraic Equations I
Solving Equations on the Number Line

2.2.7: Model and solve, concretely, pictorially and symbolically, problems that can be represented by linear equations of the form:

2.2.7.a: ax + b = c where a, b and c are whole numbers.

Modeling and Solving Two-Step Equations

2.2.7.b: ax = b where a, b and c are whole numbers.

Solving Equations on the Number Line

2.2.7.c: x/a = b, a ≠ 0 where a, b and c are whole numbers.

Solving Equations on the Number Line

3: Shape and Space

3.1: Use direct and indirect measurement to solve problems.

3.1.1: Demonstrate an understanding of circles by:

3.1.1.a: describing the relationships among radius, diameter and circumference

Circumference and Area of Circles

3.1.1.b: relating circumference to pi

Circumference and Area of Circles

3.1.1.c: determining the sum of the central angles

Chords and Arcs

3.1.1.e: solving problems involving the radii, diameters and circumferences of circles.

Chords and Arcs
Circles
Circumference and Area of Circles

3.1.2: Develop and apply a formula for determining the area of:

3.1.2.a: triangles

Area of Triangles

3.1.2.b: parallelograms

Area of Parallelograms
Area of Triangles
Perimeter and Area of Rectangles

3.1.2.c: circles.

Circumference and Area of Circles

3.2: Describe the characteristics of 3-D objects and 2-D shapes, and analyze the relationships among them.

3.2.3: Perform geometric constructions, including:

3.2.3.a: perpendicular line segments

Constructing Parallel and Perpendicular Lines

3.2.3.b: parallel line segments

Constructing Parallel and Perpendicular Lines

3.2.3.c: perpendicular bisectors

Constructing Parallel and Perpendicular Lines
Segment and Angle Bisectors

3.3: Describe and analyze position and motion of objects and shapes.

3.3.4: Identify and plot points in the four quadrants of a Cartesian plane, using integral ordered pairs.

City Tour (Coordinates)
Points in the Coordinate Plane
Points, Lines, and Equations

3.3.5: Perform and describe transformations (translations, rotations or reflections) of a 2-D shape in all four quadrants of a Cartesian plane (limited to integral number vertices).

Rotations, Reflections, and Translations

4: Statistics and Probability

4.1: Collect, display and analyze data to solve problems.

4.1.1: Demonstrate an understanding of central tendency and range by:

4.1.1.a: determining the measures of central tendency (mean, median, mode) and range

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

4.1.1.b: determining the most appropriate measures of central tendency to report findings.

Box-and-Whisker Plots
Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
Polling: City
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram
Stem-and-Leaf Plots

4.1.2: Determine the effect on the mean, median and mode when an outlier is included in a data set.

Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
Reaction Time 2 (Graphs and Statistics)

4.1.3: Construct, label and interpret circle graphs to solve problems.

Graphing Skills

4.2: Use experimental or theoretical probabilities to represent and solve problems involving uncertainty.

4.2.4: Express probabilities as ratios, fractions and percents.

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

4.2.5: Identify the sample space (where the combined sample space has 36 or fewer elements) for a probability experiment involving two independent events.

Independent and Dependent Events

4.2.6: Conduct a probability experiment to compare the theoretical probability (determined using a tree diagram, table or other graphic organizer) and experimental probability of two independent events.

Independent and Dependent Events