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Mathematics
Manitoba Education, Citizenship and Youth
 

Grade 10 Curriculum Outcomes
(WNCP 2006 Revisions)

Essential Mathematics

For new kindergarten to grade 12 mathematics curriculum implementation timelines see Manitoba Implementation Timelines 

(Updated June 2008)

Measurement Algebra Geometry Number

General Outcome

Develop spatial sense through direct and indirect measurement.

General Outcome

Develop number sense and critical thinking skills.

General Outcome

Develop spatial sense.

General Outcome

Develop number sense and critical thinking skills.

Specific Outcome

It is expected that students will:

Specific Outcome

It is expected that students will:

Specific Outcome

It is expected that students will:

Specific Outcome

It is expected that students will:

10E.M.1.

  • 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.


    • [C, CN, ME, V]

10E.A.1.

  • Solve problems that require the manipulation and application of formulas related to:
    • perimeter
    • area
    • the Pythagorean theorem
    • primary trigonometric ratios
    • income.


    • [C, CN, ME, PS, R]

10E.G.1.

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


    • [C, CN, PS, R]

10E.N.1.

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


    • [CN, ME, PS, R]

10E.M.2.

  • Demonstrate an understanding of the imperial system  by:
    • 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.


    • [C, CN, ME, V]

  

10E.G.2.

  • Demonstrate an understanding of the Pythagorean theorem by:
    • identifying situations that involve right triangles
    • verifying the formula
    • applying the formula
    • solving problems.


    • [C, CN, PS, V]

10E.N.2.

  • Demonstrate an understanding of income, including:
    • wages
    • salary
    • contracts
    • commissions
    • piecework
    • to calculate gross pay and net pay.


    • [C, CN, R, T]

10E.M.3.

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


    • [CN, ME, PS, V]

  

10E.G.3.

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


    • [C, CN, PS, V]

  

10E.M.4.

  • 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.


    • [ME, PS, R, V]

  

10E.G.4.

  • Demonstrate an understanding of primary trigonometric ratios (sine, cosine, tangent) by:
    • applying similarity to right triangles
    • generalizing patterns from similar right triangles
    • applying the primary trigonometric ratios
    • solving problems.


    • [CN, PS, R, T, V]

  
   

10E.G.5.

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


    • [C, CN, PS, V]

  
   

10E.G.6. 

  • Demonstrate an understanding of angles, including acute, right, obtuse, straight and reflex, by:
    • drawing
    • replicating and constructing
    • bisecting
    • solving problems.


    • [C, ME, PS, T, V]

  

 

Processes:

C - Communication
PS - Problem Solving
V - Visualization
CN - Connections
R - Mathematical Reasoning
ME - Mental Mathematics & Estimation
T - Technology