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%.

Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1
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 with Unlike Denominators

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

Adding Real Numbers
Adding and Subtracting Integers
Adding and Subtracting Integers with Chips

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

1.1.7.a: benchmarks

Comparing and Ordering Decimals
Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1

1.1.7.b: place value

Comparing and Ordering Decimals
Comparing and Ordering Fractions
Comparing and Ordering Rational Numbers
Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1

1.1.7.c: equivalent fractions and/or decimals.

Comparing and Ordering Decimals
Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1

2: Patterns and Relations

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

2.1.1: Demonstrate an understanding of oral and written patterns and their equivalent linear relations.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Introduction to Functions
Linear Functions

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.

Introduction to Functions
Linear Functions
Using Tables, Rules and Graphs

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

Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Solving Formulas for any Variable
Solving Two-Step Equations

2.2.3.b: applying preservation of equality to solve equations.

Modeling and Solving Two-Step Equations
Solving Two-Step Equations

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

Using Algebraic Equations

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

Using Algebraic Equations

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 - Activity A

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
Solving Equations By Graphing Each Side
Solving Two-Step Equations

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

Modeling and Solving Two-Step Equations
Solving Equations By Graphing Each Side
Solving Two-Step Equations

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

Modeling and Solving Two-Step Equations
Solving Equations By Graphing Each Side
Solving Two-Step Equations

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

Circle: Circumference and Area

3.1.1.b: relating circumference to pi

Circle: Circumference and Area

3.1.1.c: determining the sum of the central angles

Chords and Arcs

3.1.1.d: constructing circles with a given radius or diameter

Construct Parallel and Perpendicular Lines
Constructing Congruent Segments and Angles

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

Circle: Circumference and Area

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

3.1.2.a: triangles

Classifying Triangles

3.1.2.c: circles.

Circle: Circumference and Area
Perimeter, Circumference, and Area - Activity B

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

Construct Parallel and Perpendicular Lines

3.2.3.b: parallel line segments

Construct Parallel and Perpendicular Lines

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.

Points in the Coordinate Plane - Activity A

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).

Classifying Triangles
Reflections
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
Line Plots
Mean, Median and Mode

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

Describing Data Using Statistics
Line Plots
Mean, Median and Mode

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
Line Plots
Mean, Median and Mode

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

4.2.4: Express probabilities as ratios, fractions and percents.

Compound Independent Events
Compound Independent and Dependent Events
Geometric Probability - Activity A
Independent and Dependent Events
Polling: City
Probability Simulations
Theoretical and Experimental Probability

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.

Geometric Probability - Activity A
Independent and Dependent Events
Permutations and Combinations
Polling: City
Probability Simulations
Theoretical and Experimental Probability