Gizmos for British Columbia - Mathematics: Principles of Mathematics: Grade 10 (British Columbia Learning Outcomes adopted 2006)

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

A.1: : classify numbers as natural, whole, integer, rational, or irrational and describe contexts where they are used

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.1: : use expressions to represent general terms for arithmetic growth, and apply these expressions to solve problems

B.4: : factor polynomial expressions of the form

B.4.1: : ax² + bx + c

B.4.2: : a²x² - b²y²

B.5: : find the product of polynomials (i.e., monomials, binomials, trinomials)

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)

B.15: : represent linear data, using linear function models

B.16: : solve problems involving partial variation and arithmetic sequences as applications of linear functions

C.1: : solve 2-D and 3-D problems involving two right triangles

C.6: : solve problems involving rise, run, and slope of line segments

C.7: : determine the equation of a line, given information that uniquely determines the line

C.8: : solve problems using slopes of

C.8.1: : parallel lines

Correlation last revised: 9/16/2020

British Columbia - Mathematics: Principles of Mathematics: Grade 10