### N7: Number

#### N7.2: Expand and demonstrate understanding of the addition, subtraction, multiplication, and division of decimals to greater numbers of decimal places, and the order of operations.

N7.2.d: Solve a problem involving the addition, or subtraction, of two or more decimal numbers.

N7.2.g: Check the reasonableness of solutions using estimation.

N7.2.i: Explain by using examples why it is important to follow a specific order of operations when calculating with decimals and/or whole numbers.

#### N7.3: Demonstrate an understanding of the relationships between positive decimals, positive fractions (including mixed numbers, proper fractions and improper fractions), and whole numbers.

N7.3.b: Match a set of fractions to their decimal representations.

N7.3.k: Identify, with justification, a number that would be between two given numbers (decimal, fraction, and/or whole numbers) in an ordered sequence or shown on a number line.

N7.3.l: Identify incorrectly placed numbers within an ordered sequence or shown on a number line.

#### N7.4: Expand and demonstrate an understanding of percent to include fractional percents between 1% and 100%.

N7.4.b: Express a percent as a decimal or fraction.

N7.4.c: Solve a problem that involves finding a percent.

N7.4.d: Solve a problem that involves finding percents of a value.

#### N7.5: Develop and 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).

N7.5.g: Simplify a positive fraction or mixed number by identifying and dividing off the common factor between the numerator and denominator.

N7.5.i: Solve a problem involving the addition or subtraction of positive fractions or mixed numbers.

#### N7.6: Demonstrate an understanding of addition and subtraction of integers, concretely, pictorially, and symbolically.

N7.6.b: Explain, using concrete materials such as integer tiles and diagrams, that the sum of opposite integers is zero (e.g., a move in one direction followed by an equivalent move in the opposite direction results in no net change in position).

N7.6.c: Illustrate, using a number line, the results of adding or subtracting negative and positive integers.

N7.6.d: Add two integers using concrete materials or pictorial representations and record the process symbolically.

### P7: Patterns and Relations

#### P7.1: Demonstrate an understanding of the relationships between oral and written patterns, graphs and linear relations.

P7.1.f: Create a table of values for a linear relation by evaluating the relation for different variable values.

#### P7.2: Demonstrate an understanding of equations and expressions by: distinguishing between equations and expressions, evaluating expressions, verifying solutions to equations.

P7.2.a: Explain what a variable is and how it is used in an expression.

P7.2.b: Provide an example of an expression and an equation, and explain how they are similar and different.

P7.2.c: Explain how to evaluate an expression and how that result is different from a solution to an equation.

#### P7.3: Demonstrate an understanding of one-and two-step linear equations of the form ax/b + c = d (where a, b, c, and d are whole numbers, c less than or equal to d and b does not equal 0) by modeling the solution of the equations concretely, pictorially, physically, and symbolically and explaining the solution in terms of the preservation of equality.

P7.3.b: Generalize strategies for carrying out operations that involve the use of the preservation of equality.

P7.3.c: Solve an equation by applying the preservation of equality.

P7.3.d: Identify and provide an example of a constant term, a numerical coefficient, and a variable in an expression and an equation.

P7.3.g: Verify the solution to a linear equation using concrete materials or diagrams.

P7.3.i: Represent a problem situation using a linear equation.

P7.3.j: Solve a problem using a linear equation.

#### P7.4: Demonstrate an understanding of linear equations of the form x + a = b (where a and b are integers) by modeling problems as a linear equation and solving the problems concretely, pictorially, and symbolically.

P7.4.b: Verify a solution to a problem involving a linear equation of the form x + a = b where a and b are integers.

### SS7: Shape and Space

#### SS7.1: Demonstrate an understanding of circles including circumference and central angles.

SS7.1.a: Identify the characteristics of a circle.

SS7.1.b: Define and illustrate the relationship between the diameter and radius of a circle.

SS7.1.g: Generalize, from investigations, the relationship between the circumference and the diameter of a circle.

SS7.1.i: Sort a set of angles as central angles of a circle or not.

SS7.1.l: Solve problems involving circles.

#### SS7.2: Develop and apply formulas for determining the area of: triangles, parallelograms, circles.

SS7.2.a: Illustrate and explain how the area of a rectangle can be used to determine the area of a triangle.

SS7.2.b: Generalize, using examples, a formula for determining the area of triangles.

SS7.2.c: Illustrate and explain how the area of a rectangle can be used to determine the area of a parallelogram.

SS7.2.d: Generalize, using examples, a formula for determining the area of parallelograms.

SS7.2.g: Generalize a formula for finding the area of a circle.

SS7.2.h: Solve problems involving the area of triangles, parallelograms, or circles.

#### SS7.3: Demonstrate an understanding of 2-D relationships involving lines and angles.

SS7.3.a: Identify and describe examples of parallel line segments, perpendicular line segments, perpendicular bisectors, and angle bisectors in the environment.

SS7.3.c: Investigate and explain how paper, pencil, compass, and rulers can be used to construct parallel lines, perpendicular lines, angle bisectors, and perpendicular bisectors.

SS7.3.e: Use technology to construct parallel lines, perpendicular lines, angle bisectors, and perpendicular bisectors.

SS7.3.h: Draw the bisector of a given angle using more than one method and verify that the resulting angles are equal.

SS7.3.i: Draw the perpendicular bisector of a line segment using more than one method and verify the construction.

#### SS7.4: Demonstrate an understanding of the Cartesian plane and ordered pairs with integral coordinates.

SS7.4.a: Label the axes of a four quadrant Cartesian plane and identify the origin.

SS7.4.c: Identify the location of a point in any quadrant of a Cartesian plane using an ordered pair with integral coordinates.

SS7.4.d: Plot the point corresponding to an ordered pair with integral coordinates on a Cartesian plane with a scale of 1, 2, 5, or 10 on its axes.

### SP7: Statistics and Probability

#### SP7.1: Demonstrate an understanding of the measures of central tendency and range for sets of data.

SP7.1.a: Concretely represent mean, median, and mode and explain the similarities and differences among them.

SP7.1.b: Determine mean, median, and mode for a set of data, and explain why these values may be the same or different.

SP7.1.c: Determine the range of a set of data.

SP7.1.d: Provide a context in which the mean, median, or mode is the most appropriate measure of central tendency to use when reporting findings and explain the choice.

SP7.1.e: Solve a problem involving the measures of central tendency.

SP7.1.f: Analyze a set of data to identify any outliers.

SP7.1.g: Explain the effect of outliers on the measures of central tendency for a data set.

SP7.1.h: Identify outliers in a set of data and justify whether or not they should be included in the reporting of the measures of central tendency.

SP7.1.i: Provide examples of situations in which outliers would and would not be used in reporting the measures of central tendency.

SP7.1.j: Explain why qualitative data, such as colour or favourite activity, cannot be analyzed for all three measures of central tendency.

#### SP7.2: Demonstrate an understanding of circle graphs.

SP7.2.a: Identify common attributes of circle graphs, such as:

SP7.2.a.3: the data is reported as a percent of the total and the sum of the percents is equal to 100%.

SP7.2.b: Create and label a circle graph, with and without technology, to display a set of data.

SP7.2.c: Find, describe, and compare circle graphs in a variety of print and electronic media such as newspapers, magazines, and the Internet.

SP7.2.e: Interpret a circle graph to answer questions.

SP7.2.f: Identify the characteristics of a set of data that make it possible to create a circle graph.

#### SP7.3: Demonstrate an understanding of theoretical and experimental probabilities for two independent events where the combined sample space has 36 or fewer elements.

SP7.3.a: Explain what a probability tells about the situation to which it refers.

SP7.3.b: Provide an example of two independent events, such as:

SP7.3.b.1: spinning a four section spinner and an eight-sided die

SP7.3.b.2: tossing a coin and rolling a twelve-sided die

SP7.3.b.3: tossing two coins

SP7.3.b.4: rolling two dice and explain why they are independent.

SP7.3.d: Determine the theoretical probability of an outcome involving two independent events.

SP7.3.e: Conduct a probability experiment for an outcome involving two independent events, with and without technology, to compare the experimental probability to the theoretical probability.

SP7.3.f: Solve a probability problem involving two independent events.

SP7.3.g: Explain how theoretical and experimental probabilities are related and why they cannot be assumed to be equal.

SP7.3.h: Represent a probability stated as a percent as a fraction or a decimal.

SP7.3.i: Represent a probability stated as a fraction or decimal as a percent.

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.