Grade 10 - Mathematics 10-3 (2008)

Measurement

Geometry

Number

Algebra

Develop spatial sense through direct and indirect measurement.

Demonstrate an understanding of the Système International (SI) by: describing the relationships of the units for length, area, volume, capacity, mass and temperature, applying strategies to convert SI units to imperial units.

 Demonstrate an understanding of the imperial system by:

Solve and verify problems that involve SI and imperial linear measurements, including decimal and fractional measurements.

Solve problems that involve SI and imperial area measurements of regular, composite and irregular 2-D shapes and 3-D objects, including decimal and fractional measurements, and verify the solutions.

Develop spatial sense.

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

Demonstrate an understanding of the Pythagorean theorem by:

 Demonstrate an understanding of similarity of convex polygons, including regular and irregular polygons.

Demonstrate an understanding of primary trigonometric ratios (sine, cosine, tangent) by:

Solve problems that involve parallel, perpendicular and transversal lines, and pairs of angles formed between them.

Demonstrate an understanding of angles, including acute, right, obtuse, straight and reflex, by:

Develop number sense and critical thinking skills.

Solve problems that involve unit pricing and currency exchange, using proportional reasoning.

Demonstrate an understanding of income (to calculate gross pay and net pay), including:

Develop algebraic reasoning.

Solve problems that require the manipulation and application of formulas related to:

describing the relationships of the units for length, area, volume, capacity, mass and temperature

describing the relationships of the units for length, area, volume, capacity, mass and temperature

comparing the American and British imperial units for capacity

applying strategies to convert imperial units to SI units.

identifying situations that involve right triangles

verifying the formula

applying the formula

solving problems.

applying similarity to right triangles

generalizing patterns from similar right triangles

applying the primary trigonometric ratios

solving problems.

drawing

replicating and constructing

bisecting

solving problems.

wages

salary

contracts

commissions

piecework

perimeter

area

the Pythagorean theorem

primary trigonometric ratios

income.