This course enables students to develop an understanding of mathematical concepts related to algebra, analytic geometry, and measurement and geometry through investigation, the effective use of technology, and abstract reasoning. Students will investigate relationships, which they will then generalize as equations of lines, and will determine the connections between different representations of a linear relation. They will also explore relationships that emerge from the measurement of three-dimensional figures and two-dimensional shapes. Students will reason mathematically and communicate their thinking as they solve multi-step problems.
Pre-requisite(s):
None
Required Course Materials:
Not required
Required Equipment:
• A computer with Internet access
• A scientific calculator
Course Syllabus
Unit 1: Number sense and algebra - Part A
Lesson 1: Algebra: Terminology and review
Lesson 2: Algebraic expressions and rules
Unit 2: Number sense and algebra - Part B
Lesson 3: Simplifying polynomial expressions
Lesson 4: Solving equations
Lesson 5: Manipulating formulas
Unit 3: Linear relations - Part A
Lesson 6: Understanding graphs
Lesson 7: Gathering and analyzing data
Lesson 8: Characteristics of linear relations
Unit 4: Linear relations - Part B
Lesson 9: Lines of best fit and their equations
Lesson 10: Converting from one representation to another
Unit 5: Analytic geometry
Lesson 11: Graph shapes and their equations
Lesson 12: Slope and intercepts: Two important characteristics
Lesson 13: Using slope and the y-intercept
Lesson 14: Writing the equations of lines
Lesson 15: Linear relations in the real world
Unit 6: Measurement and geometry - Part A
Lesson 16: The Pythagorean theorem and area of composite
shapes
Lesson 17: Volume and surface area of prisms and pyramids
Unit 7: Measurement and geometry - Part B
Lesson 18: Volume and surface area of cones and spheres
Lesson 19: Optimization and measurement
Lesson 20: Properties of two-dimensional shapes
