Program of Studies

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

2.1.1: 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

2.2.3: 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.

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

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

3.1.1: 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

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

3.1.2.c: circles.

Circle: Circumference and Area

Perimeter, Circumference, and Area - Activity B

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

3.3.4: 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

4.1.1: 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

4.2.4: 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

Correlation last revised: 1/9/2009

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