## Mathematics 8

### Course Outline

Students in Mathematics 8 will explore the following topics:

• Number (N)
• Patterns and Relations (PR)
• Measurement (M)
• Geometry (G)
• Statistics and Probability (SP)

#### Mathematics 7–9 Curriculum Sections

This document include sections of the curriculum guide sorted by unit.

#### NUMBER (N)

Students will be expected to demonstrate number sense.

• demonstrate an understanding of perfect squares and square roots, concretely, pictorially, and symbolically (limited to whole numbers).
• determine the approximate square root of numbers that are not perfect squares (limited to whole numbers).
• solve problems involving percents greater than or equal to 0%.
• demonstrate an understanding of ratio and rate.
• solve problems that involve rates, ratios, and proportional reasoning.
• multiply and divide positive fractions and mixed numbers, concretely, pictorially, and symbolically.
• multiply and divide integers, concretely, pictorially, and symbolically.

#### PATTERNS AND RELATIONS (PR)

Patterns: Students will be expected to use patterns to describe the world and solve problems.
Variables and Equations: Students will be expected to represent algebraic expressions in multiple ways.

• graph and analyze two-variable linear relations.
• model and solve problems, concretely, pictorially, and symbolically using linear equations.

#### MEASUREMENT (M)

Students will be expected to use direct and indirect measure to solve problems.

• develop and apply the Pythagorean theorem to solve problems.
• draw and construct nets for 3-D objects.
• determine the surface area of right rectangular prisms, right triangular prisms, and right cylinders to solve problems.
• develop and apply formulas for determining the volume of right rectangular prisms, right triangular prisms, and right cylinders.

#### GEOMETRY (G)

3-D Objects and 2-D Shapes: Students will be expected to describe the characteristics of 3-D objects and 2-D shapes and analyze the relationships among them.
Transformations: Students will be expected to describe and analyze position and motion of objects and shapes.

• draw and interpret top, front, and side views of 3-D objects composed of right rectangular prisms.
• demonstrate an understanding of the congruence of polygons under a transformation.

#### STATISTICS AND PROBABILITY (SP)

Data Analysis: Students will be expected to collect, display, and analyze data to solve problems.
Chance and Uncertainty: Students will be expected to use experimental or theoretical probabilities to represent and solve problems involving uncertainty.

• critique ways in which data is presented.
• solve problems involving the probability of independent events.

Updated August 24, 2021