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EQAO Grade 9 Principles of Math
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EQAO Grade 9 Principles of Math Topics

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video
Ratios, Rates, and Proportions
Ratios
Rates
Proportions
video
Square Roots
Squares and square roots
Estimating square roots
video
Pythagorean Theorem
Introduction to pythagorean theorem
Using the pythagorean relationship
Applications of pythagorean theorem
video
Rational Numbers
Comparing and ordering rational numbers
Solving problems with rational numbers in decimal form
Solving problems with rational numbers in fraction form
Determine square roots of rational numbers
video
Powers and Exponents
Using exponents to describe numbers
Exponent rules
Order of operations with exponents
Using exponents to solve problems
video
Proportional Relationships
Identifying proportional relationships
Understanding graphs of proportional relationships
Using tables of values to graph proportional relationships
Applications of proportional relationships
video
Linear Ralations
Representing patterns in linear relations
Reading linear relation graphs
Solving linear equations by graphing
video
Solving Linear Equations
Solving linear equations using multiplication and division
Solving two-step linear equations: ax + b = c, x/a + b = c
Solving linear equations using distributive property: a(x + b) = c
Solving linear equations with variables on both sides
video
Introduction to Relations and Functions
Relationship between two variables
Understand relations between x- and y-intercepts
Domain and range of a function
Identifying functions
Function notation
video
Linear Functions
Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}d=(x2​−x1​)2+(y2​−y1​)2​
Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)M=(2x1​+x2​​,2y1​+y2​​)
Slope equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}m=x2​−x1​y2​−y1​​
Slope intercept form: y = mx + b
General form: Ax + By + C = 0
Point-slope form: y−y1=m(x−x1)y - y_1 = m (x - x_1)y−y1​=m(x−x1​)
Rate of change
Graphing linear functions using table of values
Graphing linear functions using x- and y-intercepts
Graphing from slope-intercept form y=mx+b
Graphing linear functions using a single point and slope
Word problems of graphing linear functions
Parallel and perpendicular lines in linear functions
Applications of linear relations
video
Linear Programming
What is linear programming?
Linear programming word problems
video
Introduction to Polynomials
Characteristics of polynomials
Equivalent expressions of polynomials
Adding and subtracting polynomials
video
Multiplication and Division of Polynomials
Multiplying and dividing monomials
Multiplying polynomials by monomials
Dividing polynomials by monomials
video
Introduction to 3-Dimensional Objects
Introduction to surface area of 3-dimensional shapes
Nets of 3-dimensional shapes
Surface area of prisms
Surface area of cylinders
video
Surface Area and Volume
Surface area and volume of prisms
Surface area and volume of pyramids
Surface area and volume of cylinders
Surface area and volume of cones
Surface area and volume of spheres
video
Circle Geometry
Angles in a circle
Chord properties
Tangent properties
video
Data Management
Influencing factors in data collection
Classification of data
Sampling methods
Census and bias
Scatter plots and correlation

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