Essential Mathematics, Grade 10 (20S)

Unit 1: Analysis of Games and Numbers

Strategy in puzzles and games that involve spatial reasoning, using problem-solving strategies.

• Winning strategies for spatial puzzles
• Inventing and adapting a spatial puzzle

Unit 2: Personal Finance

Earning income, calculating gross and net pay, and applying and rearranging formulas related to income.

• Ways of earning income
• Calculating gross pay
• Deductions and net pay
• Rearranging income formulas

Unit 3: Measurement

The SI and imperial systems, linear measurement, and applying and rearranging measurement-conversion formulas.

• The SI system and its units
• Converting within SI
• The imperial system
• Converting between imperial and SI

• Measuring with SI and imperial tools
• Solving linear measurement problems
• Applying and rearranging conversion formulas

• Area of regular and composite shapes
• Changing dimensions and unit conversion
• Rearranging perimeter and area formulas

Unit 4: Trigonometry

The Pythagorean theorem, the primary trigonometric ratios, and applying and rearranging trigonometry formulas.

• The Pythagorean theorem
• Sine, cosine, and tangent ratios
• Solving with trig ratios
• Rearranging Pythagorean and trig formulas

Unit 5: Consumer Decisions

Unit pricing, best-buy decisions, and currency exchange, using proportional reasoning.

• Unit pricing and best buys
• Currency exchange

Unit 6: Transformations

Translations, rotations, reflections, and dilations of 2-D shapes in design contexts.

• Translations, rotations, and reflections
• Dilations and similarity

Unit 7: Angle Construction

Drawing, replicating, bisecting angles, and solving problems with parallel, perpendicular, and transversal lines.

• Drawing and measuring angles
• Replicating and bisecting angles
• Parallel lines and transversals