Grade 7 - Mathematics (2016)

Number - Develop number sense.

Patterns - Use patterns to describe the world and to solve problems.

Variables and equations - Represent algebraic expressions in multiple ways.

Shape and Space (Measurement) - Use direct and indirect measurement to solve problems.

Shape and Space (3-D Objects and 2-D Shapes) - Describe the characteristics of 3-D objects and 2-D shapes, and analyze the relationships among them.

Shape and Space (Transformations) - Describe and analyze position and motion of objects and shapes.

Statistics and Probability (Data Analysis) - Collect, display and analyze data to solve problems.

Statistics and Probability (Chance and Uncertainty) - Use experimental or theoretical probabilities to represent and solve problems involving uncertainty.

Determine and explain why a number is divisible by 2, 3, 4, 5, 6, 8, 9 or 10, and why a number cannot be divided by 0. [C, R]

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). [ME, PS, T]

Solve problems involving percents from 1% to 100%. [C, CN, PS, R, T]

Demonstrate an understanding of the relationship between positive terminating decimals and positive fractions and between positive repeating decimals and positive fractions. [C, CN, R, T]

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). [C, CN, ME, PS, R, V]

Demonstrate an understanding of addition and subtraction of integers, concretely, pictorially and symbolically. [C, CN, PS, R, V]

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

Demonstrate an understanding of oral and written patterns and their equivalent linear relations. [C, CN, R]

Create a table of values from a linear relation, graph the table of values, and analyze the graph to draw conclusions and solve problems. [C, CN, PS, R, V] 

Demonstrate an understanding of preservation of equality by:

Explain the difference between an expression and an equation. [C, CN]

Evaluate an expression, given the value of the variable(s). [CN, R]

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. [CN, PS, R, V]

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

Demonstrate an understanding of circles by:

Develop and apply a formula for determining the area of:

Perform geometric constructions, including: 

Identify and plot points in the four quadrants of a Cartesian plane, using integral ordered pairs. [C, CN, V]

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). [C, CN, PS, T, V]

Demonstrate an understanding of central tendency and range by: 

Determine the effect on the mean, median and mode when an outlier is included in a data set. [C, CN, PS, R]

Construct, label and interpret circle graphs to solve problems. [C, CN, PS, R, T, V]

Express probabilities as ratios, fractions and percents. [C, CN, R, T, V]

Identify the sample space (where the combined sample space has 36 or fewer elements) for a probability experiment involving two independent events. [C, ME, PS]

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. [C, PS, R, T]

benchmarks [CN, R, V]

place values [CN, R, V]

equivalent fractions and/or decimals [CN, R, V]

modelling preservation of equality, concretely, pictorially and symbolically. [C, CN, PS, R, V]

applying preservation of equality to solve equations. [C, CN, PS, R, V]

ax + b = c, where a, b and c are whole numbers. [CN, PS, R, V]

ax = b, where a, b and c are whole numbers. [CN, PS, R, V]

x/a = b, a ≠ 0, where a, b and c are whole numbers. [CN, PS, R, V]

describing the relationships among radius, diameter and circumference. [C, CN, PS, R, V]

relating circumference to pi. [C, CN, PS, R, V]

determining the sum of the central angles. [C, CN, PS, R, V]

constructing circles with a given radius or diameter. [C, CN, PS, R, V]

solving problems involving the radii, diameters and circumferences of circles. [C, CN, PS, R, V]

triangles. [CN, PS, R, V]

parallelograms. [CN, PS, R, V]

circles. [CN, PS, R, V]

perpendicular line segments. [CN, R, V]

parallel line segments. [CN, R, V]

perpendicular bisectors. [CN, R, V]

angle bisectors. [CN, R, V]

determining the measures of central tendency (mean, median, mode) and range. [C, PS, R, T]

determining the most appropriate measures of central tendency to report findings. [C, PS, R, T]