### 1: Patterns and Relations

#### 1.7PR: Patterns and Relations

1.7PR2: Create a table of values from a linear relation, graph the table of values, and analyze the graph to draw conclusions and solve problems.

1.7PR2.1: Create a table of values for a given linear relation by substituting values for the variable.

1.7PR2.2: Create a table of values, using a linear relation, and graph the table of values (limited to discrete elements).

1.7PR2.5: Match a given set of linear relations to a given set of graphs.

1.7PR2.6: Match a given set of graphs to a given set of linear relations.

1.7PR4: Explain the difference between an expression and an equation.

1.7PR4.1: Explain what a variable is and how it is used in a given expression.

1.7PR4.2: Identify and provide an example of a constant term, numerical coefficient and variable in an expression and an equation.

1.7PR4.3: Provide an example of an expression and an equation, and explain how they are similar and different.

1.7PR4.4: Represent a given oral or written pattern using an algebraic expression.

1.7PR4.5: Represent a given oral or written pattern using an equation.

1.7PR5: Evaluate an expression, given the value of the variable(s).

1.7PR7: Model and solve, concretely, pictorially and symbolically, problems that can be represented by linear equations of the form:

1.7PR7.a: ax + b = c

1.7PR7.b: ax - b = c

1.7PR7.c: ax = b

1.7PR7.d: x/a = b, a ≠ 0 where a, b and c are whole numbers.

1.7PR7.1: Model a given problem with a linear equation and solve the equation, using concrete models, e.g., counters, integer tiles.

### 2: Integers

#### 2.7N: Number

2.7N6: Demonstrate an understanding of addition and subtraction of integers, concretely, pictorially and symbolically.

2.7N6.1: Explain, using concrete materials such as integer tiles and diagrams, that the sum of opposite integers is zero.

2.7N6.2: Solve a given problem involving the addition and subtraction of integers.

2.7N6.3: Add two given integers, using concrete materials or pictorial representations, and record the process symbolically.

2.7N6.4: Illustrate, using a number line, the results of adding negative and positive integers.

2.7N6.5: Subtract two given integers, using concrete materials or pictorial representations, and record the process symbolically.

2.7N6.6: Illustrate, using a number line, the results of subtracting negative and positive integers.

### 3: Fractions, Decimals, and Percents

#### 3.7N: Number

3.7N2: 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).

3.7N2.1: Solve a given problem involving the addition of two or more decimal numbers.

3.7N2.2: Solve a given problem involving the subtraction of decimal numbers.

3.7N2.4: Solve a given problem involving the multiplication of decimal numbers with two digit multipliers (whole numbers or decimals) without the use of technology.

3.7N2.6: Solve a given problem involving the multiplication or division of decimal numbers with more than 2-digit multipliers or more than 1-digit divisors (whole numbers or decimals) with the use of technology.

3.7N2.8: Check the reasonableness of solutions using estimation.

3.7N3: Solve problems involving percents from 1% to 100%.

3.7N3.1: Express a given percent as a decimal or fraction.

3.7N3.2: Solve a given problem that involves finding a percent.

3.7N4: Demonstrate an understanding of the relationship between positive terminating decimals and positive fractions and between positive repeating decimals and positive fractions.

3.7N4.2: Match a given set of fractions to their decimal representations.

3.7N7: Compare and order positive fractions, positive decimals (to thousandths) and whole numbers by using:

3.7N7.b: place value

3.7N7.c: equivalent fractions and/or decimals.

3.7N7.1: Order the numbers of a given set that includes positive fractions, positive decimals and/or whole numbers in ascending or descending order, and verify the result using a variety of strategies.

3.7N7.2: Position fractions with like and unlike denominators from a given set on a number line, and explain strategies used to determine order.

3.7N7.5: Identify a number that would be between two given numbers in an ordered sequence or on a number line.

### 4: Circles and Area

#### 4.7SS: Shape and Space (Measurement)

4.7SS1: Demonstrate an understanding of circles by:

4.7SS1.a: describing the relationships among radius, diameter and circumference

4.7SS1.b: relating circumference to pi

4.7SS1.c: determining the sum of the central angles

4.7SS1.e: solving problems involving the radii, diameters and circumferences of circles.

4.7SS1.4: Explain that, for all circles, pi is the ratio of the circumference to the diameter (C/d) and its value is approximately 3.14.

4.7SS1.6: Explain, using an illustration, that the sum of the central angles of a circle is 360°.

4.7SS2: Develop and apply a formula for determining the area of:

4.7SS2.a: triangles

4.7SS2.b: parallelograms

4.7SS2.c: circles.

4.7SS2.1: Illustrate and explain how the area of a rectangle can be used to determine the area of a parallelogram.

4.7SS2.2: Generalize a rule to create a formula for determining the area of parallelograms.

4.7SS2.3: Solve a given problem involving the area of triangles, parallelograms and/or circles.

4.7SS2.4: Illustrate and explain how the area of a rectangle or a parallelogram can be used to determine the area of a triangle.

4.7SS2.5: Generalize a rule to create a formula for determining the area of triangles.

4.7SS2.7: Apply a formula for determining the area of a given circle.

#### 4.7SP: Statistics and Probability (Data Analysis)

4.7SP3: Construct, label and interpret circle graphs to solve problems.

4.7SP3.2: Identify common attributes of circle graphs, such as:

4.7SP3.2.a: title, label or legend

4.7SP3.4: Interpret a given circle graph to answer questions.

4.7SP3.5: Create and label a circle graph, with and without technology, to display a given set of data.

### 5: Operations with Fractions

#### 5.7N: Number

5.7N5: 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).

5.7N5.2: Determine the sum of two given positive fractions with like denominators.

5.7N5.3: Simplify a given positive fraction by identifying the common factor between the numerator and denominator.

5.7N5.4: Determine a common denominator for a given set of positive fractions.

5.7N5.5: Determine the sum of two given positive fractions with unlike denominators.

5.7N5.6: Model subtraction of positive fractions, using concrete representations, and record symbolically.

5.7N5.7: Determine the difference of two given positive fractions.

5.7N5.8: Model addition and subtraction of mixed numbers, using concrete representations, and record symbolically.

5.7N5.9: Determine the sum or difference of two mixed numbers.

5.7N5.10: Simplify the solution to a given problem involving the sum or difference of two positive fractions or mixed numbers.

5.7N5.11: Solve a given problem involving the addition or subtraction of positive fractions or mixed numbers and determine if the solution is reasonable.

### 6: Equations

#### 6.7PR: Patterns and Relations (Variables and Equations)

6.7PR3: Demonstrate an understanding of preservation of equality by:

6.7PR3.a: modelling preservation of equality, concretely, pictorially and symbolically

6.7PR3.b: applying preservation of equality to solve equations.

6.7PR3.2: Write equivalent forms of a given equation by applying the preservation of equality, and verify, using concrete materials, e.g., 3b = 12 is the same as 3b + 5 = 12 + 5 or 2r = 7 is the same as 3(2r) = 3(7).

6.7PR3.3: Solve a given problem by applying preservation of equality.

6.7PR6: 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.

6.7PR6.2: Draw a visual representation of the steps required to solve a given linear equation.

6.7PR6.3: Solve a given problem using a linear equation.

6.7PR7: Model and solve, concretely, pictorially and symbolically, problems that can be represented by linear equations of the form:

6.7PR7.a: ax + b = c

6.7PR7.b: ax - b = c

6.7PR7.c: ax = b

6.7PR7.d: x/a = b, a ≠ 0 where a, b and c are whole numbers.

6.7PR7.1: Model a given problem with a linear equation and solve the equation using concrete models, e.g., counters, integer tiles.

6.7PR7.4: Solve a given problem, using a linear equation, and record the process.

6.7PR7.5: Verify the solution to a given linear equation, using concrete materials and diagrams.

### 7: Data Analysis

#### 7.7SP: Statistics and Probability (Data Analysis)

7.7SP1: Demonstrate an understanding of central tendency and range by:

7.7SP1.a: determining the measures of central tendency (mean, median, mode) and range

7.7SP1.b: determining the most appropriate measures of central tendency to report findings.

7.7SP1.1: Determine mean, median and mode for a given set of data, and explain why these values may be the same or different.

7.7SP1.2: Determine the range for a given set of data.

7.7SP1.4: Solve a given problem involving the measures of central tendency.

7.7SP2: Determine the effect on the mean, median and mode when an outlier is included in a data set.

7.7SP2.1: Analyze a given set of data to identify any outliers.

7.7SP2.2: Explain the effect of outliers on the measures of central tendency for a given data set.

7.7SP2.3: Identify outliers in a given set of data, and justify whether or not they are to be included in reporting the measures of central tendency.

7.7SP2.4: Provide examples of situations in which outliers would and would not be used in reporting the measures of central tendency.

7.7SP4: Express probabilities as ratios, fractions and percents.

7.7SP4.1: Determine the probability of a given outcome occurring for a given probability experiment, and express it as a ratio, fraction and percent.

7.7SP4.2: Provide an example of an event with a probability of 0 or 0% (impossible) and an example of an event with a probability of 1 or 100% (certain).

7.7SP5: Identify the sample space (where the combined sample space has 36 or fewer elements) for a probability experiment involving two independent events.

7.7SP5.1: Provide an example of two independent events, such as:

7.7SP5.1.a: spinning a four section spinner and rolling an eight-sided die

7.7SP5.1.b: tossing a coin and rolling a twelve-sided die

7.7SP5.1.c: tossing two coins

7.7SP5.1.d: rolling two dice and explain why they are independent.

#### 7.7SP: Statistics and Probability (Chance and Uncertainty)

7.7SP6: 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.

7.7SP6.1: Determine the theoretical probability of a given outcome involving two independent events.

7.7SP6.2: Conduct a probability experiment for an outcome involving two independent events, with and without technology, to compare the experimental probability with the theoretical probability.

7.7SP6.3: Solve a given probability problem involving two independent events.

### 8: Geometry

#### 8.7SS: Shape and Space (3-D Objects and 2-D Shapes)

8.7SS3: Perform geometric constructions, including:

8.7SS3.1: Identify line segments on a given diagram that are either parallel or perpendicular.

8.7SS3.7: Draw the perpendicular bisector of a line segment, using more than one method, and verify the construction.

8.7SS3.9: Draw the bisector of a given angle, using more than one method, and verify that the resulting angles are equal.

#### 8.7SS: Shape and Space (Transformations)

8.7SS4: Identify and plot points in the four quadrants of a Cartesian plane, using integral ordered pairs.

8.7SS4.1: Label the axes of a four quadrant coordinate plane (or Cartesian plane), and identify the origin.

8.7SS4.2: Identify the location of a given point in any quadrant of a Cartesian plane, using an integral ordered pair.

8.7SS4.3: Plot the point corresponding to a given integral ordered pair on a Cartesian plane with units of 1, 2, 5 or 10 on its axes.

8.7SS4.4: Draw shapes and designs in a Cartesian plane, using integral ordered pairs.

8.7SS4.5: Create shapes and designs, and identify the points used to produce the shapes and designs, in any quadrant of a Cartesian plane.

8.7SS5: 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).

8.7SS5.1: Identify the coordinates of the vertices of a given 2-D shape on a Cartesian plane.

8.7SS5.2: Describe the horizontal and vertical movement required to move from a given point to another point on a Cartesian plane.

Correlation last revised: 9/16/2020

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