Saskatchewan

N9 Number

• N9.1 Demonstrate (concretely, pictorially and symbolically) understanding of powers with integral bases (excluding base 0) and whole number exponents including:

  • N9.1.1 representing using powers.

    • Understanding exponents (9-I.1)
    • Identify equivalent expressions involving exponents (9-I.14)

  • N9.1.2 evaluating powers.

    • Exponents with integer bases (9-I.2)
    • Multiplication with exponents - integral bases (9-I.5)
    • Division with exponents - integral bases (9-I.6)
    • Multiplication and division with exponents - integral bases (9-I.7)
    • Power rule - integral bases (9-I.8)
    • Evaluate expressions using properties of exponents (9-I.13)

  • N9.1.3 powers with an exponent of zero.

    • Exponents with integer bases (9-I.2)

  • N9.1.4 solving situational questions.

• N9.2 Demonstrate understanding of rational numbers including:

  • N9.2.1 comparing and ordering.

    • Compare rational numbers (9-A.2)
    • Put rational numbers in order (9-A.3)
    • Number lines (9-A.4)

  • N9.2.2 relating to other types of numbers.

    • Classify numbers (9-A.1)

  • N9.2.3 solving situational questions.

    • Add, subtract, multiply and divide integers (9-B.1)
    • Evaluate numerical expressions involving integers (9-B.2)
    • Add and subtract rational numbers (9-B.4)
    • Add and subtract rational numbers: word problems (9-B.5)
    • Multiply and divide rational numbers (9-B.6)
    • Multiply and divide rational numbers: word problems (9-B.7)
    • Evaluate numerical expressions involving rational numbers (9-B.8)

• N9.3 Extend understanding of square roots to include the square root of positive rational numbers.

  • Square roots of perfect squares (9-A.6)
  • Square roots of fractions and decimals (9-A.7)
  • Estimate square roots (9-A.8)

P9 Patterns and Relations

• P9.1 Demonstrate understanding of linear relations including:

  • P9.1.1 graphing.

    • Graph a proportional relationship (9-R.3)
    • Slope-intercept form: graph an equation (9-S.6)
    • Complete a table and graph a linear function (9-S.13)
    • Standard form: graph an equation (9-S.17)
    • Graph a horizontal or vertical line (9-S.19)
    • Point-slope form: graph an equation (9-S.20)

  • P9.1.2 analyzing.

    • Interpret the graph of a function: word problems (9-Q.10)
    • Identify linear functions (9-S.1)
    • Find the slope of a graph (9-S.2)

  • P9.1.3 interpolating and extrapolating.

    • Find values using function graphs (9-Q.5)
    • Evaluate a function (9-Q.6)

  • P9.1.4 solving situational questions.

    • Interpret the graph of a function: word problems (9-Q.10)

• P9.2 Model and solve situational questions using linear equations of the form: ax = b; x/a= b, a ≠ 0; ax + b = c; x/a + b = c, a ≠ 0; ax = b + cx; a(x + b) = c; ax + b = cx + d; a(bx + c) = d(ex + f); and a/x = b, x ≠ 0, where a, b, c, d, e and f are rational numbers.

  • Properties of equality (9-H.4)
  • Does x satisfy the equation? (9-M.5)
  • Model and solve equations using algebra tiles (9-N.1)
  • Write and solve equations that represent diagrams (9-N.2)
  • Solve one-step linear equations (9-N.3)
  • Solve two-step linear equations (9-N.4)
  • Solve advanced linear equations (9-N.5)
  • Solve equations with variables on both sides (9-N.6)
  • Solve equations: complete the solution (9-N.7)
  • Solve linear equations: word problems (9-N.10)
  • Solve linear equations: mixed review (9-N.11)

• P9.3 Demonstrate understanding of single variable linear inequalities with rational coefficients including:

  • P9.3.1 solving inequalities.

    • Solve one-step linear inequalities: addition and subtraction (9-O.4)
    • Solve one-step linear inequalities: multiplication and division (9-O.5)
    • Solve one-step linear inequalities (9-O.6)
    • Solve two-step linear inequalities (9-O.8)
    • Solve advanced linear inequalities (9-O.10)

  • P9.3.2 verifying.

    • Identify solutions to inequalities (9-O.3)

  • P9.3.3 comparing.

  • P9.3.4 graphing.

    • Graph inequalities (9-O.1)
    • Graph solutions to one-step linear inequalities (9-O.7)
    • Graph solutions to two-step linear inequalities (9-O.9)
    • Graph solutions to advanced linear inequalities (9-O.11)

• P9.4 Demonstrate understanding of polynomials (limited to polynomials of degree less than or equal to 2) including:

  • P9.4.1 modeling.

    • Polynomial vocabulary (9-V.1)
    • Model polynomials with algebra tiles (9-V.2)

  • P9.4.2 generalizing strategies for addition, subtraction, multiplication and division.

    • Add and subtract polynomials using algebra tiles (9-V.3)
    • Add and subtract polynomials (9-V.4)
    • Multiply a polynomial by a monomial (9-V.6)
    • Divide a polynomial by a monomial (9-V.8)

  • P9.4.3 analyzing.

    • Identify monomials (9-U.1)

  • P9.4.4 relating to context.

    • Add polynomials to find perimeter (9-V.5)
    • Multiply polynomials to find area (9-V.7)

  • P9.4.5 comparing for equivalency.

SS9 Shape and Space

• SS9.1 Demonstrate understanding of circle properties including:

  • SS9.1.1 perpendicular line segments from the centre of a circle to a chord bisect the chord.

  • SS9.1.2 inscribed angles subtended by the same arc have the same measure.

    • Inscribed angles (9-F.11)

  • SS9.1.3 the measure of a central angle is twice the measure of an inscribed angle subtending the same arc.

    • Inscribed angles (9-F.11)

  • SS9.1.4 tangents to a circle are perpendicular to the radius ending at the point of tangency.

    • Tangent lines (9-F.9)

• SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right triangular prisms, to composite 3-D objects.

  • Surface area of prisms and pyramids (9-E.14)
  • Surface area of cones and cylinders (9-E.15)

• SS9.3. Demonstrate understanding of similarity of 2-D shapes.

  • Similar and congruent figures (8-R.1)
  • Scale drawings: word problems (9-C.7)
  • Similar figures: side lengths and angle measures (9-E.17)
  • Similar triangles and indirect measurement (9-E.18)
  • Perimeter, area and volume: changes in scale (9-E.22)
  • Dilations and scale factors (9-E.26)

• SS9.4 Demonstrate understanding of line and rotation symmetry.

  • Symmetry (9-E.5)
  • Count lines of symmetry (9-E.6)
  • Draw lines of symmetry (9-E.7)
  • Identify reflections, rotations and translations (9-E.23)
  • Reflections, rotations and translations: graph the image (9-E.25)

SP9 Statistics and Probability

• SP9.1 Demonstrate understanding of the effect of:

  • SP9.1.1 bias.

    • Identify biased samples (9-Y.5)

  • SP9.1.2 use of language.

  • SP9.1.3 ethics.

  • SP9.1.4 cost.

  • SP9.1.5 time and timing.

  • SP9.1.6 privacy.

  • SP9.1.7 cultural sensitivity.

  • SP9.1.8 population or sample on data collection.

• SP9.2 Demonstrate an understanding of the collection, display and analysis of data through a project.

  • Interpret bar graphs, line graphs and histograms (9-P.1)
  • Create bar graphs, line graphs and histograms (9-P.2)
  • Interpret circle graphs (9-P.3)
  • Interpret stem-and-leaf plots (9-P.4)
  • Interpret box-and-whisker plots (9-P.5)
  • Interpret a scatter plot (9-P.6)

• SP9.3 Demonstrate an understanding of the role of probability in society.

  • Theoretical probability (9-X.1)
  • Experimental probability (9-X.2)

• SP9.4 Research and present how First Nations and Métis peoples, past and present, envision, represent and make use of probability and statistics.