Alberta

N Number

• N.1 Develop number sense.

  • N.1.1 Demonstrate an understanding of powers with integral bases (excluding base 0) and whole number exponents by:

    • N.1.1.a representing repeated multiplication, using powers.

      • Understanding exponents (9-I.1)

    • N.1.1.b using patterns to show that a power with an exponent of zero is equal to one.

    • N.1.1.c solving problems involving powers.

      • Exponents with integer bases (9-I.2)
      • Exponents with decimal and fractional bases (9-I.3)
      • Evaluate expressions using properties of exponents (9-I.13)

  • N.1.2 Demonstrate an understanding of operations on powers with integral bases (excluding base 0) and whole number exponents:

    • N.1.2.a (a to the m power) (a to the n power) = a to the m + n power.

      • Multiplication with exponents - integral bases (9-I.5)

    • N.1.2.b a to the m power / a to the n power = a to the m - n power, m > n.

      • Division with exponents - integral bases (9-I.6)

    • N.1.2.c (a to the m power) to the n power = a to the mn power.

      • Power rule - integral bases (9-I.8)

    • N.1.2.d (ab) to the m power = a to the m power × b to the m power.

    • N.1.2.e (a / b) to the n power = a to the n power / b to the n power, b ≠ 0.

  • N.1.3 Demonstrate an understanding of rational numbers by:

    • N.1.3.a comparing and ordering rational numbers.

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

    • N.1.3.b solving problems that involve arithmetic operations on rational numbers.

      • 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)

  • N.1.4 Explain and apply the order of operations, including exponents, with and without technology.

    • Evaluate numerical expressions involving integers (9-B.2)
    • Evaluate numerical expressions involving rational numbers (9-B.8)

  • N.1.5 Determine the square root of positive rational numbers that are perfect squares.

    • Square roots of perfect squares (9-A.6)

  • N.1.6 Determine an approximate square root of positive rational numbers that are non-perfect squares.

    • Estimate square roots (9-A.8)

PR Patterns and Relations

• PR.1 Use patterns to describe the world and to solve problems.

  • PR.1.1 Generalize a pattern arising from a problem-solving context, using a linear equation, and verify by substitution.

    • Solve proportions: word problems (9-C.6)
    • Write variable expressions for arithmetic sequences (9-L.5)
    • Write variable expressions for geometric sequences (9-L.6)
    • Write variable expressions (9-M.1)
    • Write variable equations (9-M.4)
    • Does x satisfy the equation? (9-M.5)
    • Write and solve equations that represent diagrams (9-N.2)
    • Slope-intercept form: write an equation from a table (9-S.9)
    • Slope-intercept form: write an equation from a word problem (9-S.10)
    • Write linear functions to solve word problems (9-S.12)

  • PR.1.2 Graph a linear relation, analyze the graph, and interpolate or extrapolate to solve problems.

    • Interpret the graph of a function: word problems (9-Q.10)
    • 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)
    • Graph a horizontal or vertical line (9-S.19)

• PR.2 Represent algebraic expressions in multiple ways.

  • PR.2.3 Model and solve problems, using linear equations of the form:

    • PR.2.3.a ax = b where a and b are rational numbers.

      • Solve one-step linear equations (9-N.3)

    • PR.2.3.b x/a = b, a ≠ 0 where a and b are rational numbers.

      • Solve one-step linear equations (9-N.3)

    • PR.2.3.c ax + b = c where a, b and c are rational numbers.

      • Model and solve equations using algebra tiles (9-N.1)
      • Solve two-step linear equations (9-N.4)
      • Solve linear equations: word problems (9-N.10)

    • PR.2.3.d x/a + b = c, a ≠ 0 where a, b and c are rational numbers.

      • Solve two-step linear equations (9-N.4)

    • PR.2.3.e ax = b + cx where a, b and c are rational numbers.

      • Solve equations with variables on both sides (9-N.6)
      • Solve equations: complete the solution (9-N.7)

    • PR.2.3.f a(x + b) = c where a, b and c are rational numbers.

      • Solve advanced linear equations (9-N.5)
      • Solve equations: complete the solution (9-N.7)

    • PR.2.3.g ax + b = cx + d where a, b, c and d are rational numbers.

      • Solve equations with variables on both sides (9-N.6)
      • Solve equations: complete the solution (9-N.7)

    • PR.2.3.h a(bx + c) = d(ex + f) where a, b, c, d, e and f are rational numbers.

      • Solve equations with variables on both sides (9-N.6)
      • Solve equations: complete the solution (9-N.7)

    • PR.2.3.i a/x = b, x ≠ 0 where a and b are rational numbers.

  • PR.2.4 Explain and illustrate strategies to solve single variable linear inequalities with rational coefficients within a problem-solving context.

    • Graph inequalities (9-O.1)
    • Write inequalities from graphs (9-O.2)
    • Identify solutions to inequalities (9-O.3)
    • 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)
    • Graph solutions to one-step linear inequalities (9-O.7)
    • Solve two-step linear inequalities (9-O.8)
    • Graph solutions to two-step linear inequalities (9-O.9)
    • Solve advanced linear inequalities (9-O.10)
    • Graph solutions to advanced linear inequalities (9-O.11)

  • PR.2.5 Demonstrate an understanding of polynomials (limited to polynomials of degree less than or equal to 2).

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

  • PR.2.6 Model, record and explain the operations of addition and subtraction of polynomial expressions, concretely, pictorially and symbolically (limited to polynomials of degree less than or equal to 2).

    • Add and subtract polynomials using algebra tiles (9-V.3)
    • Add polynomials to find perimeter (9-V.5)

  • PR.2.7 Model, record and explain the operations of multiplication and division of polynomial expressions (limited to polynomials of degree less than or equal to 2) by monomials, concretely, pictorially and symbolically.

    • Multiply a polynomial by a monomial (9-V.6)
    • Multiply polynomials to find area (9-V.7)
    • Divide a polynomial by a monomial (9-V.8)

SS Shape and Space

• SS.1 Use direct and indirect measurement to solve problems.

  • SS.1.1 Solve problems and justify the solution strategy, using the following circle properties:

    • SS.1.1.a the perpendicular from the centre of a circle to a chord bisects the chord.

    • SS.1.1.b the measure of the central angle is equal to twice the measure of the inscribed angle subtended by the same arc.

      • Inscribed angles (9-F.11)

    • SS.1.1.c the inscribed angles subtended by the same arc are congruent.

      • Inscribed angles (9-F.11)

    • SS.1.1.d a tangent to a circle is perpendicular to the radius at the point of tangency.

      • Tangent lines (9-F.9)

• SS.2 Describe the characteristics of 3-D objects and 2-D shapes, and analyze the relationships among them.

  • SS.2.2 Determine the surface area of composite 3-D objects to solve problems.

  • SS.2.3 Demonstrate an understanding of similarity of polygons.

    • Similar figures: side lengths and angle measures (9-E.17)
    • Similar triangles and indirect measurement (9-E.18)

• SS.3 Describe and analyze position and motion of objects and shapes.

  • SS.3.4 Draw and interpret scale diagrams of 2-D shapes.

    • Scale drawings: word problems (9-C.7)

  • SS.3.5 Demonstrate an understanding of line and rotation symmetry.

    • Symmetry (9-E.5)
    • Count lines of symmetry (9-E.6)
    • Draw lines of symmetry (9-E.7)

SP Statistics and Probability

• SP.1 Collect, display and analyze data to solve problems.

  • SP.1.1 Describe the effect of:

    • SP.1.1.a bias on the collection of data.

      • Identify biased samples (9-Y.5)

    • SP.1.1.b use of language on the collection of data.

    • SP.1.1.c ethics on the collection of data.

    • SP.1.1.d cost on the collection of data.

    • SP.1.1.e time and timing on the collection of data.

    • SP.1.1.f privacy on the collection of data.

    • SP.1.1.g cultural sensitivity on the collection of data.

  • SP.1.2 Select and defend the choice of using either a population or a sample of a population to answer a question.

  • SP.1.3 Develop and implement a project plan for the collection, display and analysis of data by:

    • SP.1.3.a formulating a question for investigation.

    • SP.1.3.b choosing a data collection method that includes social considerations.

    • SP.1.3.c selecting a population or a sample.

    • SP.1.3.d collecting the data.

    • SP.1.3.e displaying the collected data in an appropriate manner.

      • Create bar graphs, line graphs and histograms (9-P.2)

    • SP.1.3.f drawing conclusions to answer the question.

      • Interpret bar graphs, line graphs and histograms (9-P.1)

• SP.2 Use experimental or theoretical probabilities to represent and solve problems involving uncertainty.

  • SP.2.4 Demonstrate an understanding of the role of probability in society.

    • Theoretical probability (9-X.1)
    • Probability of independent and dependent events (9-X.5)