Ontario Math by Edison

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How to use Ontario Math by Edison

Read this before you start this Grade 10 to 11U Reach Ahead Program

Grade 10 to 11U Reach Ahead Program 2021

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You're about to start your Grade 10 to 11 Reach Ahead, starting with Functions

Math by Edison Blank Easy Math Page

Intro to Functions

Is y = 2^x a function?

Quiz & Qs: Page 0 Outline, Page 1-4 Functions and Function Notation

Intro to Domain

Intro to Range

Quiz & Qs: Page 13-16 Domain, Range, and Set Notation

Given g(x) = -3(x+2)^2 - 1, Find a) Domain and b) Range

Given g(x) = 1 / by (x+2), Find a) Domain and b) Range

Intro to Inverses, Find Inverse of g(x) = 3x-2, a) Numerically, b) Visually, c) Algebraically

Find the inverse equation for g(x) = x^2

Quiz & Qs: Page 17-20 Inverse Equations and Inverse Relations

You're about to get into Grade 11 Transformations with Quadratics

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What is transformation for f(x) = (-x)^2?

What is transformation for f(x) = (2x)^2?

What is transformation for f(x) = (1 over 2 x)^2?

State transformations for a) f(x) = -4[-3(x+2)]^2 + 7 and g(x) = -1/4 x [-1/3(x-2)]^2 - 7?

Quiz & Qs: Page 9-12 Applying Transformations to Functions

Print these Day 4 Easy Math Pages then Create, Watch, Assess

5. Review of Grade 10, Graph the Circle Relation x^2 + y^2 = 1^2

6. Neel the eel goes for a ride on a Water Wheel. Into to Trig Relations

1. Neel the eel, Height vs Angle on a Water Wheel, leads to Graph of y=sinx (aka y = sin theta)

2. Evaluate Sine Expressions without calculator, by Waterwheel and y=sinx (e.g. sin0, sin90..) - aka Neel's height

Print these Day 5 Easy Math Pages then Create, Watch, Assess

1. Evaluate Trig Expressions (sin 30, cos 30, tan 60) using Special Triangles (exact answer)

2. Evaluate Trig Expressions (sin 45, cos 45, tan 45) using Special Triangles (exact answer)

Quiz & Qs: Page 0 Outline, Page 1-4 Evaluate Trig Ratios using Special Triangles

3. Evaluate Sin 240 degrees exactly - by Special Triangles, y = sinx, Unit circle

4. Evaluate Sine Expressions exactly (sin 120, sin 210, sin 315) - by Special Triangles and Unit Circle

Quiz & Qs: Page 5-8 Evaluate Trig Ratios using Standard Position or Unit Circle

Why is solving trig equations so tough for so many students?

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4. Solve sinx = -1, between -360 degrees and 720 degrees

5. Solve Sine Equations (sinx=0, sinx=1, sinx=-1) with a Domain, without a calculator, using Unit Circle and Graph of y=sinx

5. Solve sinx = 1/2, exactly, between 0 and 360 degrees

6. Solve sinx = -1/2 exactly, between 0 and 360 degrees

Solve Sinx = .33, where x is between 0 and 720 degrees

Solve Sinx = 2, where x is between 0 and 360 degrees. I love this question!

Quiz & Qs: Page 9-12 Solving Trig Equations With More Than One Answer

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1. Intro to Trig Parent Functions and the "11" Transformations

2. For f(x) = sin(x) + 3, Write Transformations in 1) Words (two ways), 2) Symbols (three ways), 3) Pictures (two ways)

3. For f(x) = sin(x+45), Write Transformations in 1) Words (two ways), 2) Symbols (three ways), 3) Pictures (two ways)

6. For f(x) = sin(0.5x), Write Transformations in 1) Words (two ways), 2) Symbols (three ways), 3) Pictures (two ways)

7. For h(x) = sin(2x + 90), Write a) Transformations and b) Mapping Rule

Quiz & Qs: 0 Outline, Page 1-4 Graphing Trig Functions – using Transformations

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1. Evaluate 16 ^ (1/2) using Powers

2. Memorized Rule, 16 ^ (1/2) = Square Root of 16. Why?

3. Evaluate 8 ^ (2/3) using Powers

4. Memorized Rule, 8 ^ (2/3) = (Cube root of 8 )^2. Why?

5. Evaluate (49/36) ^ (-3 over 2) using Grade 9 & 10 Power Rules

Quiz & Qs: Page 0 Outline, Page 1-4 Fractional Exponents

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1. Intro to Exponential Parent Functions and the "11" Transformations

5. For y = 2^(x-3) Write Transformations in 1) Words (two ways), 2) Symbols (three ways), 3( Pictures (two ways)

6. For y = (3)2^x, Write Transformations in 1) Words (two ways), 2) Symbols (three ways), 3( Pictures (two ways)

8. For y = 2^(-x), Write Transformations in 1) Words (two ways), 2) Symbols (three ways), 3( Pictures (two ways)

9. For y = 2^(1/2 x), Write Transformations in 1) Words (two ways), 2) Symbols (three ways), 3( Pictures (two ways)

Quiz & Qs: Page 9-12 Graphing Exponential Functions with Transformations

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Given f(x) = (x^2+2x) / (x-2), a) Simplify, then find b) x-intercept(s) and c) Restrictions

Given f(x) = (x^2-4) / (x^2-2x-8), a) Simplify, then find b) x-intercept(s) and c) Restrictions

Given f(x) = (3x^2-7x+2) / (x^2-1) x (x^2+6x+5) / (x^2-4x+4), a) Simplify, then find b) x-intercept(s) and c) Restrictions

Quiz & Qs: Page 0 Outline, Page 1-4 Simplifying Rational Functions