### 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).

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

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).

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

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

1.1.7.a: benchmarks

1.1.7.b: place value

1.1.7.c: equivalent fractions and/or decimals.

### 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.

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.

#### 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

2.2.3.b: applying preservation of equality to solve 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.

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.

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

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

### 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

3.1.1.b: relating circumference to pi

3.1.1.c: determining the sum of the central angles

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

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

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

3.1.2.a: triangles

3.1.2.c: 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

3.2.3.b: parallel line segments

#### 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.

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).

### 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

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

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

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

4.2.4: Express probabilities as ratios, fractions and percents.

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.

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.