### A: Students demonstrate an understanding of and proficiency with calculations, including making decisions concerning which arithmetic operation or operations to use to solve a problem and then solve the problem.

#### A.5: explain and apply the exponent laws for powers of numbers, including

A.5.1: x to the m power ? x to the n power = x to the m+n power

A.5.2: x to the m power ÷ x to the n power = x to the m-n power

A.5.3: (x to the m power) to the n power = x to the mn power

A.5.4: (xy) to the m power = x to the m power y to the m power

A.5.5: (x/y) to the m power = x to the m power / y to the m power, y does not equal 0

A.5.6: x to the 0 power = 1, x does not equal 0

A.5.7: xto the -m power = 1 / x to the m power, x does not equal 0

### B: Students use algebraic and graphical models to generalize patterns, make predictions, and solve problems.

#### B.4: factor polynomial expressions of the form

B.4.1: ax² + bx + c

B.4.2: a²x² - b²y²

#### B.6: divide a polynomial (P or P(x)) by a binomial (D or D(x)) and express the result in the forms

B.6.1: P / D = Q + R / D

B.6.2: P(x) = D(x)Q(x) + R, where Q and Q(x) denote the quotient and R denotes the remainder

#### B.11: describe a linear function in terms of

B.11.1: ordered pairs

B.11.2: a rule, in word or equation form

B.11.3: a graph

#### B.13: determine the following characteristics of the graph of a linear function, given its equation

B.13.1: x- and y-intercepts

B.13.2: slope

B.13.3: domain

B.13.4: range

#### B.14: sketch the graph of a linear function given its equation in the form

B.14.1: ax + by + c = 0 (general form)

B.14.2: y = mx + b (slope-intercept form)

### C: Students describe and compare everyday phenomena, using either direct or indirect measurement and describe the characteristics of 3-D objects and 2-D shapes, and analyse the relationships among them.

#### C.8: solve problems using slopes of

C.8.1: parallel lines

Correlation last revised: 9/24/2019

This correlation lists the recommended Gizmos for this province's curriculum standards. Click any Gizmo title below for more information.