Number

General 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

**Pre-REQ: difficult concept,

· using patterns to show that a power with an exponent of zero is equal to one

**Pre-REQ: difficult concept, show some patterns(whole number base)

· 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.

**Pre-REQ: the meaning of what a power is

** Difficult concept

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

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.

Pre-REQ: basic order of operations skills review

[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 the approximate square root of positive rational numbers that are non-perfect squares.

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

Patterns and Relations

General 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 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)

· , x ≠ 0

where a, b, c, d, e and f are rational numbers.

[C, CN, ME, PS, V]

**Pre-REQ: adding and subtracting integers, concept of an equation (equality)

9.PR.4. Explain and illustrate strategies to solve single variable linear inequalities with rational number coefficients within a problem-solving context.

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

**Pre-REQ: using number lines to represent numbers and order fractions/decimals/percents

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]

Shape and Space

General 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 on 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 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]

9.SS.3.Demonstrate an understanding of similarity of polygons.

[C, CN, PS, R, V]

General Outcome

Describe and analyze position and motion.

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]