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EQAO Grade 9 Principles of Math Topics

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1. Ratios, Rates, and Proportions

1.1 Ratios
1.2 Rates
1.3 Proportions

2. Square Roots

2.1 Squares and square roots
2.2 Estimating square roots

3. Pythagorean Theorem

3.1 Introduction to pythagorean theorem
3.2 Using the pythagorean relationship
3.3 Applications of pythagorean theorem

4. Rational Numbers

4.1 Comparing and ordering rational numbers
4.2 Solving problems with rational numbers in decimal form
4.3 Solving problems with rational numbers in fraction form
4.4 Determine square roots of rational numbers

5. Powers and Exponents

5.1 Using exponents to describe numbers
5.2 Exponent rules
5.3 Order of operations with exponents
5.4 Using exponents to solve problems

6. Proportional Relationships

6.1 Identifying proportional relationships
6.2 Understanding graphs of proportional relationships
6.3 Using tables of values to graph proportional relationships
6.4 Applications of proportional relationships

7. Linear Ralations

7.1 Representing patterns in linear relations
7.2 Reading linear relation graphs
7.3 Solving linear equations by graphing

8. Solving Linear Equations

8.1 Solving linear equations using multiplication and division
8.2 Solving two-step linear equations: ax + b = c, x/a + b = c
8.3 Solving linear equations using distributive property: a(x + b) = c
8.4 Solving linear equations with variables on both sides

9. Introduction to Relations and Functions

9.1 Relationship between two variables
9.2 Understand relations between x- and y-intercepts
9.3 Domain and range of a function
9.4 Identifying functions
9.5 Function notation

10. Linear Functions

10.1 Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
10.2 Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
10.3 Slope equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
10.4 Slope intercept form: y = mx + b
10.5 General form: Ax + By + C = 0
10.6 Point-slope form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
10.7 Rate of change
10.8 Graphing linear functions using table of values
10.9 Graphing linear functions using x- and y-intercepts
10.10 Graphing from slope-intercept form y=mx+b
10.11 Graphing linear functions using a single point and slope
10.12 Word problems of graphing linear functions
10.13 Parallel and perpendicular lines in linear functions
10.14 Applications of linear relations

11. Linear Programming

11.1 What is linear programming?
11.2 Linear programming word problems

12. Introduction to Polynomials

12.1 Characteristics of polynomials
12.2 Equivalent expressions of polynomials
12.3 Adding and subtracting polynomials

13. Multiplication and Division of Polynomials

13.1 Multiplying and dividing monomials
13.2 Multiplying polynomials by monomials
13.3 Dividing polynomials by monomials

14. Introduction to 3-Dimensional Objects

14.1 Introduction to surface area of 3-dimensional shapes
14.2 Nets of 3-dimensional shapes
14.3 Surface area of prisms
14.4 Surface area of cylinders

15. Surface Area and Volume

15.1 Surface area and volume of prisms
15.2 Surface area and volume of pyramids
15.3 Surface area and volume of cylinders
15.4 Surface area and volume of cones
15.5 Surface area and volume of spheres

16. Circle Geometry

16.1 Angles in a circle
16.2 Chord properties
16.3 Tangent properties

17. Data Management

17.1 Influencing factors in data collection
17.2 Classification of data
17.3 Sampling methods
17.4 Census and bias
17.5 Scatter plots and correlation

17 Chapters · 71 Topics · 622 Videos

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All Grade 9 EQAO content: number sense, algebra, linear relations, measurement, geometry, and data management.

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