Saskatchewan

M Measurement

• M.1 Develop spatial sense through direct and indirect measurement.

  • M.1.1 Demonstrate an understanding of the Systeme International (SI) by:

    • M.1.1.1 describing the relationships of the units for length, area, volume, capacity, mass and temperature

      • Convert rates and measurements: metric units (10-W.2)

    • M.1.1.2 applying strategies to convert SI units to imperial units.

      • Convert between metric and imperial units of length (10-W.8)

  • M.1.2 Demonstrate an understanding of the imperial system by:

    • M.1.2.1 describing the relationships of the units for length, area, volume, capacity, mass and temperature

      • Convert rates and measurements: imperial units of length (10-W.4)
      • Unit prices with imperial length conversions (10-W.6)
      • Imperial mixed units of length (10-W.7)

    • M.1.2.2 comparing the American and British imperial units for capacity

    • M.1.2.3 applying strategies to convert imperial units to SI units.

      • Convert between metric and imperial units of length (10-W.8)

  • M.1.3 Solve and verify problems that involve SI and imperial linear measurements, including decimal and fractional measurements.

    • Convert rates and measurements: metric units (10-W.2)
    • Convert rates and measurements: imperial units of length (10-W.4)
    • Unit prices with imperial length conversions (10-W.6)
    • Imperial mixed units of length (10-W.7)
    • Convert between metric and imperial units of length (10-W.8)
    • Scale drawings: word problems (10-W.9)

  • M.1.4 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.

    • Perimeter (10-Y.3)
    • Area of triangles and quadrilaterals (10-Y.4)
    • Area and circumference of circles (10-Y.7)
    • Area of compound figures (10-Y.8)
    • Introduction to surface area and volume (10-Z.4)
    • Surface area of prisms and cylinders (10-Z.5)
    • Surface area of pyramids and cones (10-Z.6)
    • Volume of prisms and cylinders (10-Z.7)
    • Volume of pyramids and cones (10-Z.8)
    • Surface area and volume of spheres (10-Z.9)
    • Surface area and volume review (10-Z.12)

G Geometry

• G.1 Develop spatial sense.

  • G.1.1 Analyze puzzles and games that involve spatial reasoning, using problem-solving strategies.

  • G.1.2 Demonstrate an understanding of the Pythagorean theorem by:

    • G.1.2.1 identifying situations that involve right triangles

      • Converse of the Pythagorean theorem (10-DD.2)
      • Pythagorean Inequality Theorems (10-DD.3)

    • G.1.2.2 verifying the formula

      • Pythagorean Theorem (10-DD.1)
      • Converse of the Pythagorean theorem (10-DD.2)

    • G.1.2.3 applying the formula

      • Pythagorean Theorem (10-DD.1)

    • G.1.2.4 solving problems.

      • Pythagorean Theorem (10-DD.1)
      • Pythagorean Inequality Theorems (10-DD.3)
      • Special right triangles (10-DD.4)

  • G.1.3 Demonstrate an understanding of similarity of convex polygons, including regular and irregular polygons.

    • Area and perimeter of similar figures (10-Y.10)
    • Identify similar figures (10-CC.1)
    • Similarity ratios (10-CC.2)
    • Similarity statements (10-CC.3)
    • Side lengths and angle measures in similar figures (10-CC.4)
    • Similar triangles and indirect measurement (10-CC.5)
    • Perimeters of similar figures (10-CC.6)
    • Similarity rules for triangles (10-CC.7)
    • Similar triangles and similarity transformations (10-CC.8)
    • Similarity of circles (10-CC.9)
    • Triangle Proportionality Theorem (10-CC.10)
    • Areas of similar figures (10-CC.11)

  • G.1.4 Demonstrate an understanding of primary trigonometric ratios (sine, cosine, tangent) by:

    • G.1.4.1 applying similarity to right triangles

      • Trigonometric ratios in similar right triangles (11-Q.3)

    • G.1.4.2 generalizing patterns from similar right triangles

      • Trigonometric ratios in similar right triangles (11-Q.3)

    • G.1.4.3 applying the primary trigonometric ratios

      • Trigonometric ratios: sin, cos and tan (10-EE.1)
      • Find trigonometric functions of special angles (10-EE.3)
      • Find trigonometric functions using a calculator (10-EE.4)
      • Trigonometric ratios: find a side length (10-EE.6)
      • Trigonometric ratios: find an angle measure (10-EE.7)
      • Solve a right triangle (10-EE.8)

    • G.1.4.4 solving problems.

      • Trigonometric ratios: sin, cos and tan (10-EE.1)
      • Trigonometric ratios: csc, sec and cot (10-EE.2)
      • Find trigonometric functions of special angles (10-EE.3)
      • Find trigonometric functions using a calculator (10-EE.4)
      • Inverses of trigonometric functions (10-EE.5)
      • Trigonometric ratios: find a side length (10-EE.6)
      • Trigonometric ratios: find an angle measure (10-EE.7)
      • Solve a right triangle (10-EE.8)

  • G.1.5 Solve problems that involve parallel, perpendicular and transversal lines, and pairs of angles formed between them.

    • Slopes of parallel and perpendicular lines (10-L.22)
    • Write an equation for a parallel or perpendicular line (10-L.23)

  • G.1.6 Demonstrate an understanding of angles, including acute, right, obtuse, straight and reflex, by:

    • G.1.6.1 drawing

    • G.1.6.2 replicating and constructing

      • Construct a congruent angle (10-X.2)

    • G.1.6.3 bisecting

      • Construct an angle bisector (10-X.1)

    • G.1.6.4 solving problems.

      • Triangles and bisectors (10-BB.4)
      • Identify medians, altitudes, angle bisectors and perpendicular bisectors (10-BB.5)

N Number

• N.1 Develop number sense and critical thinking skills.

  • N.1.1 Solve problems that involve unit pricing and currency exchange, using proportional reasoning.

    • Unit prices with imperial length conversions (10-W.6)

  • N.1.2 Demonstrate an understanding of income, including:

    • N.1.2.1 wages to calculate gross pay and net pay.

    • N.1.2.2 salary to calculate gross pay and net pay.

    • N.1.2.3 contracts to calculate gross pay and net pay.

    • N.1.2.4 commissions to calculate gross pay and net pay.

    • N.1.2.5 piecework to calculate gross pay and net pay.

A Algebra

• A.1 Develop algebraic reasoning.

  • A.1.1 Solve problems that require the manipulation and application of formulas related to:

    • A.1.1.1 perimeter

      • Add polynomials to find perimeter (10-O.5)
      • Perimeter (10-Y.3)
      • Area and perimeter in the coordinate plane I (10-Y.5)
      • Area and perimeter in the coordinate plane II (10-Y.6)
      • Area and circumference of circles (10-Y.7)
      • Area and perimeter of similar figures (10-Y.10)

    • A.1.1.2 area

      • Area of triangles and quadrilaterals (10-Y.4)
      • Area and perimeter in the coordinate plane I (10-Y.5)
      • Area and perimeter in the coordinate plane II (10-Y.6)
      • Area and circumference of circles (10-Y.7)
      • Area of compound figures (10-Y.8)
      • Area and perimeter of similar figures (10-Y.10)

    • A.1.1.3 the Pythagorean theorem

      • Pythagorean Theorem (10-DD.1)
      • Converse of the Pythagorean theorem (10-DD.2)
      • Pythagorean Inequality Theorems (10-DD.3)

    • A.1.1.4 primary trigonometric ratios

      • Trigonometric ratios: sin, cos and tan (10-EE.1)
      • Trigonometric ratios: csc, sec and cot (10-EE.2)
      • Find trigonometric functions of special angles (10-EE.3)
      • Find trigonometric functions using a calculator (10-EE.4)
      • Inverses of trigonometric functions (10-EE.5)
      • Trigonometric ratios: find a side length (10-EE.6)
      • Trigonometric ratios: find an angle measure (10-EE.7)
      • Solve trigonometric equations I (11-Q.10)
      • Solve trigonometric equations II (11-Q.11)

    • A.1.1.5 income.

      • Compound interest: word problems (11-N.8)