# EQAO Grade 9 Principles of Math Help & Practice

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##### 1Ratios, Rates, and Proportions

##### 2Square Roots

##### 3Pythagorean Theorem

##### 4Rational Numbers

##### 5Powers and Exponents

##### 6Proportional Relationships

##### 7Linear Ralations

##### 8Solving Linear Equations

##### 9Introduction to Relations and Functions

##### 10Linear Functions

- 10.1Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
- 10.2Midpoint formula: $M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)$
- 10.3Slope equation: $m = \frac{y_2-y_1}{x_2- x_1}$
- 10.4Slope intercept form: y = mx + b
- 10.5General form: Ax + By + C = 0
- 10.6Point-slope form: $y - y_1 = m (x - x_1)$
- 10.7Rate of change
- 10.8Graphing linear functions using table of values
- 10.9Graphing linear functions using x- and y-intercepts
- 10.10Graphing from slope-intercept form y=mx+b
- 10.11Graphing linear functions using a single point and slope
- 10.12Word problems of graphing linear functions
- 10.13Parallel and perpendicular lines in linear functions
- 10.14Applications of linear relations

- 10.1Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
##### 11Linear Programming

##### 12Introduction to Polynomials

##### 13Multiplication and Division of Polynomials

##### 14Introduction to 3-Dimensional Objects

##### 15Surface Area and Volume

##### 16Circle Geometry

##### 17Data Management