Education and Early Childhood Learning

General Learning Outcome: Develop number sense.

• 9.N.1. Demonstrate an understanding of powers with integral bases (excluding base 0) and whole-number exponents by

  • representing repeated multiplication using powers
  • using patterns to show that a power with an exponent of zero is equal to 1
  • solving problems involving powers

  [C, CN, ME, PS, R]

• 9.N.2. Demonstrate an understanding of operations on powers with integral bases (excluding base 0) and whole-number exponents.
  [C, CN, ME, PS, R, T]

  Note: a & b are non-zero integers and m & n are whole numbers.

• 9.N.3. Demonstrate an understanding of rational numbers by

  • comparing and ordering rational numbers
  • solving problems that involve arithmetic operations on rational numbers

  [C, CN, ME, PS, R, T, V]

• 9.N.4. Explain and apply the order of operations, including exponents, with and without technology.
  [ME, PS, T]

• 9.N.5. Determine the square root of positive rational numbers that are perfect squares.
  [C, CN, ME, PS, R, T]

• 9.N.6. Determine an approximate square root of positive rational numbers that are non-perfect squares.
  [C, CN, ME, PS, R, T]

General Learning Outcome: Use patterns to describe the world and solve problems.

• 9.PR.1. Generalize a pattern arising from a problem-solving context using linear equations, and verify by substitution.
  [C, CN, PS, R, V]

• 9.PR.2. Graph linear relations, analyze the graph, and interpolate or extrapolate to solve problems.
  [C, CN, ME, PS, R, T, V]

General Learning Outcome: Represent algebraic expressions in multiple ways.

• 9.PR.3. Model and solve problems using linear equations of the form

  • $ax=b$
  • $ax+b=c$
  • $ax=b+cx$
  • $a(x+b)=c$
  • $ax+b=cx+d$
  • $a(bx+c)=d(ex+f)$

  where a, b, c, d, e, and f are rational numbers.
  [C, CN, ME, PS, V]

  Note: it is intended that this learning outcome build on the prior work of solving linear equations with integral coefficients.

• 9.PR.4. Explain and illustrate strategies to solve single variable linear inequalities with rational coefficients within a problem-solving context.
  [C, CN, ME, PS, R, V]

• 9.PR.5. Demonstrate an understanding of polynomials (limited to polynomials of degree less than or equal to 2).
  [C, CN, R, V]

• 9.PR.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).
  [C, CN, ME, PS, R, V]

• 9.PR.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.
  [C, CN, R, V]

General Learning Outcome: Use direct or indirect measurement to solve problems.

• 9.SS.1. Solve problems and justify the solution strategy using circle properties, including

  • the perpendicular from the centre of a circle to a chord bisects the chord
  • the measure of the central angle is equal to twice the measure of the inscribed angle subtended by the same arc
  • the inscribed angles subtended by the same arc are congruent
  • a tangent to a circle is perpendicular to the radius at the point of tangency

  [C, CN, PS, R, T, V]

General Learning Outcome: Describe the characteristics of 3-D objects and 2-D shapes, and analyze the relationships among them.

• 9.SS.2. Determine the surface area of composite 3-D objects to solve problems.
  [C, CN, ME, PS, R, V]

  Note: it is intended that the composite 3-D objects be made up of objects limited to right cylinders, right rectangular prisms, and right triangular prisms.

• 9.SS.3. Demonstrate an understanding of similarity of polygons.
  [C, CN, PS, R, V]

General Learning Outcome: Describe and analyze position and motion of objects and shapes.

• 9.SS.4. Draw and interpret scale diagrams of 2-D shapes.
  [CN, R, T, V]

• 9.SS.5. Demonstrate an understanding of line and rotation symmetry.
  [C, CN, PS, V]

General Learning Outcome: Collect, display, and analyze data to solve problems.

• 9.SP.1. Describe the effect of

  • bias
  • use of language
  • ethics
  • cost
  • time and timing
  • privacy
  • cultural sensitivity

  on the collection of data.

  [C, CN, R, T]

• 9.SP.2. Select and defend the choice of using either a population or a sample of a population to answer a question.
  [C, CN, PS, R]

• 9.SP.3. Develop and implement a project plan for the collection, display, and analysis of data by

  • formulating a question for investigation
  • choosing a data collection method that includes social considerations
  • selecting a population or a sample
  • collecting the data
  • displaying the collected data in an appropriate manner
  • drawing conclusions to answer the question

  [C, PS, R, T, V]

General Learning Outcome: Use experimental or theoretical probabilities to represent and solve problems involving uncertainty.

• 9.SP.4. Demonstrate an understanding of the role of probability in society.
  [C, CN, R, T]