Course curriculum
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1
UNIT 0A: GET THE MOST OUT OF THIS GRADE 10 PROGRAM
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Gr 10a Master
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How to use Ontario Math by Edison
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How to remember math?
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Read this before you start Ontario Math by Edison Grade 10
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2
UNIT 0B: EASY MATH PAGES
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What’s the purpose of an Easy Math Page?
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Easy Math Page v3 - what a blank Easy Page looks like
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Now that you know what an Easy Math Page is, it's time for you to Create, Read and Assess
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You create an Easy Math Page for the word, Multiply
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Easy Math Page for the word Multiply, created by Edison
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You create an Easy Math Page for the question, Solve for r, when A = pi r^2
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Here's a student creating an Easy Math Page for that same question, Solve for r if A = pir^2. They got 3/4 - which part did they got wrong?
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Here's that student's Easy Math Page after it has been marked, and green is good. And they remembered the +/- :)!!
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Edison's Easy Math Page for, Solve for r, when A=pi x r^2
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Now you know more about Easy Math Pages. You'll create an Easy Math Page for every question in
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3
Unit 1: LINEAR SYSTEMS - Solving Linear Systems
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1 Linear Systems, Table of Contents
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Print 5 Easy Math Pages then Create, Watch, Assess
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1. Intro to Linear Systems-
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2. Solve the Linear System y = 2x + 3 and y = -2x - 5 by Graphing
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2 Read the Cs for Solve by Graphing, Pg 10-11
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2 Write the Cs for Solve by Graphing, Pg 12
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Quiz & Qs: Solving Linear Systems by Graphing, Pg 1-4
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2 Level 3 & 4 Questions for Solve by Graphing, Pg 16-17
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3. Solve the Linear System, y = 1/4 x – 5 and 3x + 4y – 4 = 0, by substitution
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3 Read the Cs for Solve by Substitution, Pg 18-19
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3 Write the Cs for Solve by Substitution, Pg 20
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Quiz & Qs: Solving Linear Systems by Substitution, Pg 5-8
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3 Level 3 & 4 Questions for Solve by Substitution, Pg 24-26
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4. Why does Substitution work? Solve y = x + 2 and y = -2x +5
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5. Solve the Linear System, 4x – y + 3 = 0 and 2x - 2y – 6 = 0 by elimination
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5 Read the Cs for Solve by Elimination, Pg 27-28
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5 Write the Cs for Solve by Elimination, Pg 29
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Quiz & Qs: Solving Linear Systems by Elimination, Pg 9-12
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5 Level 3 & 4 Questions for Solve by Elimination, Pg 33-35
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4
Unit 2: LINEAR SYSTEMS - One Solution, No Solution, Infinitely Many Solutions
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2 Linear Systems, Table of Contents
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Print 3 Easy Math Pages then Create, Watch, Assess
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1. Linear System with one solution. Show i) Graphically and ii) Algebraically, that y = 2x+3 and 3x+y+2=0 has one solution
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2. Linear System with no solution. Show i) Graphically and ii) Algebraically, that y = 2x+3 and 2x-y+4=0 has no solutions
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3. Linear System with infinitely many solutions. Show i) Graphically and ii) Algebraically, that y = 2x + 3 and 2x -y + 3 = 0 has infinitely many solutions
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5
Unit 3: LINEAR SYSTEMS - Word Questions
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3 Linear Systems, Table of Contents
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Print 7 Easy Math Pages then Create, Watch, Assess
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Read the Cs for Word Questions, Pg 36-38
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Write the Cs for Word Questions, Pg 39
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1. Which cell phone package is better?
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2. Word Question: Find the Numbers
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3. Word Question: Find their Ages
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4. Word Question: Money
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5. Word Question: Investing Money
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6. Word Question: Find Amount of Mixture in each acid solution
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7. Word Question: Distance, Speed, Time
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Quiz & Qs: Word Questions in Linear Systems, Pg 13-16
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Level 3 & 4 Questions for Word Questions, Pg 46-48
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6
Unit 1-3 Linear Systems Mock Test & Solutions, Level 1, 2, 3
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Linear System Mock Test, Level 1, 2, 3
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Linear System Mock Test Solutions, Level 1, 2, 3
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7
Unit 4: COORDINATE GEOMETRY (Intro, Midpoint, Distance, Circle Relation)
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4 Coordinate Geometry, Table of Contents
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Print 4 Easy Math Pages then Create, Watch, Assess
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1. Intro to Coordinate Geometry (a.k.a. Analytical Geometry)
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2. Find Midpoint of line segment P(1,1) and Q(3,5)
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3. Find distance of line segment P(1,1) and Q(3,5)
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2 Read Cs for Midpoint, Pg 4-5
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2 Write Cs for Midpoint, Pg 6
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3 Read the Cs for Distance between two Points, Pg 1-2
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3 Write the Cs for Distance between two points, Pg 3
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Quiz & Qs: 1) Distance Between Two Points and 2) Midpoint between two points, Pg 1-4
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Level 3 & 4 Questions for Distance Between Two Points & Midpoint, Pg 12-13
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4. Find the Equation of Circle Relation with centre (0,0) and radius of 3 units
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4 Read the Cs for Circle Relations, Pg 14-15
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4 Write the Cs for Circle Relations, Pg 16
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4 Level 3 & 4 Questions for Circle Relations, Pg 20-21
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8
Unit 5: COORDINATE GEOMETRY - Types of Lines in Triangles, Medians, Perpendicular Bisectors & Altitudes
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5 Coordinate Geometry, Table of Contents
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Print 3 Easy Math Pages then Create, Watch, Assess
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Given P(-3,1), Q(2,5), R(5,3). Find equation of median from Q
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Read the Cs for Median, Pg 32
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Write the Cs for Median, Pg 35
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Given P(-3,1), Q(2,5), R(5,3). Find altitude from Q.
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Read the Cs for Altitude, Pg 33
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Write the Cs for Altitude, Pg 36
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Given P(-3,1), Q(2,5), R(5,3). Find Equation of Perpendicular Bisector PR
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Read the Cs for Perpendicular bisector Pg 31
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Write the Cs for Perpendicular Bisector, Pg 34
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Quiz & Qs: Types of Lines 1) Medians, 2) Perpendicular Bisectors, and 3) Altitudes, Pg 9-12
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Level 3 & 4 Questions for Median, Altitude, Perpendicular Bisector, Pg 42-44
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9
Unit 6: COORDINATE GEOMETRY - Verifying Type of Polygons, given coordinates
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6 Coordinate Geometry, Table of Contents
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Print 2 Easy Math Pages then Create, Watch, Assess
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What type of triangle is formed by coordinates P(2,3), Q(-3,2), R(0,0)?
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What type of quadrilateral is formed by coordinates A(-4,0), B(0,1), C(-1,5), D(-5,4)?
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Read the Cs for Types of Triangles & Quadrilaterals, Pg 22-23
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Write the Cs for Types of Triangles & Quadrilaterals, Pg 24
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Quiz & Qs: Types of Triangles & Quadrilaterals, Pg 5-9
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Level 3 & 4 Questions for Types of Triangles & Quadrilaterals, Pg 28-30
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10
Unit 7: COORDINATE GEOMETRY - Challenging Questions
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7 Coordinate Geometry, Table of Contents
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Print 4 Easy Math Pages then Create, Watch, Assess
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Find shortest distance from a point (3,-2) to a line y = 3x + 1
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Find centroid of triangle PQR, given P(3,-1), Q(2,6), R(-6,2)
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Find circumcentre of triangle PQR, given P(3,-1), Q(2,6), R(-6,2)
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Find orthocentre of triangle PQR, given P(3,-1), Q(2,6), R(-6,2)
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Quiz & Qs: Triangle Centres, Pg 13-19
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Read the Cs for Median and Triangle Centres, Pg 45
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Write the Cs for Perpendicular Bisector (Triangle Centres), Pg 46
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Level 3 & 4 Questions for Triangle Centres, Pg 51-53
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11
Unit 4-7 Mock Test & Solutions on Coordinate Geometry, Level 1, 2, 3
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Level 1, 2, 3 Mock Test on Coordinate Geometry, Pg 67-72
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Level 1, 2, 3 Mock Test Solutions on Coordinate Geometry, Pg 73-81
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12
Unit 8: INTRO TO QUADRATICS - What is Quadratics?
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8 Intro to Quadratics, Table of Contents
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Print 5 Easy Math Pages then Create, Watch, Assess
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1. What is Quadratics?
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2. What is a Quadratic Expression?
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3. What is a Quadratic Equation?
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4. What is a Quadratic Relation?
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5. What is a Quadratic Word Problem?
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13
Unit 9: QUADRATIC EXPRESSIONS - Evaluate, Simplify, Expand, Expand & Simplify
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9 Quadratic Expressions, Table of Contents
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Print 7 Easy Math Pages then Create, Watch, Assess
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1. Evaluate x^2 + 5x + 6, if x=2
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2. Simplify x^2 + 2x + 3x + 6
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3. Expand x(x+3)
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4. Expand and Simplify (x+3)(x+2)
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5. Expand and Simplify (x+3)^2
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Quiz & Qs: Expand and Simplify Binomials, Pg 1-4
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6. Expand and Simplify 2(x-2)(x-4)
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7. Expand and Simplify 3(x+2)^2 - 27
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Quiz & Qs: Vertex Form to Standard Form, Pg 5-8
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5 Read the Cs for Expanding and Simplifying Binomials, Pg 1-2
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5 Write the Cs for Expanding and Simplifying Binomials, Pg 3
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7 Read the Cs for Vertex Form to Standard Form, Pg 10
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7 Write the Cs for Vertex Form to Standard Form, Pg 11
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Level 3 & 4 Questions for Expanding and Simplifying Binomials, Pg 7-9
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Level 3 Questions for Vertex Form to Standard Form, Pg 15
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14
Unit 10: QUADRATICS EXPRESSIONS - Factor using Algebra Tiles
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10 Quadratic Expressions, Table of Contents
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Print 6 Easy Math Pages then Create, Watch, Assess
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1. Factor x^2 + 3x, using Algebra Tiles
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2. Factor x^2 + 2x + 3x + 6, using Algebra Tiles
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3. Factor x^2 + 5x + 6, using Algebra Tiles
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4. Factor 3x^2 + 4x + 1, using Algebra Tiles
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5. Factor 2x^2 - x -3, using Algebra Tiles
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6. Factor x^2 - 4, using Algebra Tiles
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15
Unit 11: QUADRATIC EXPRESSIONS - Factoring using Rectangles
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11 Quadratic Expressions, Table of Contents
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Print 8 Easy Math Pages then Create, Watch, Assess
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1. Factor x^2 + 3x using Rectangles
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2. Factor x^2 + 3x + 2x + 6 - by Rectangles
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Quiz & Qs: Common Factoring, Pg 9-12
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Quiz & Qs: Factoring by Grouping, Pg 13-16
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3. Factor x^2 + 5x + 6 - by Rectangles
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4. Factor x^2 - 4, by Rectangles
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Quiz & Qs: Factoring Trinomials, Pg 17-20
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5. Factor 3x^2 + 4x +1 with Rectangles
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6. Factor 2x^2 - x- 3 with Rectangles
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L3 Qs Page 25, Factoring Trinomials when a not equal to 1 (e.g. 6x^2 - 5x - 6)
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7. Factor 4x^2 - 9, using Rectangles
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8. Factor 4x^2 - 12x + 9 using Rectangles, advanced
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Quiz & Qs: Factoring Difference of Squares, Pg 21-24
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16
Unit 12: QUADRATIC EXPRESSIONS - Factor Rules: 12A-GCF, 12B-Grouping, 12C-Factor Trinomials, 12D-Difference of the Squares
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Four methods of Factoring taught in Grade 10
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17
Unit 12A - Greatest Common Factor
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12A Quadratic Expressions, Table of Contents (greatest common factor)
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Print one Easy Math Page then Create, Watch, Assess
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Factor x^2 + 3x using Greatest Common Factor (Factoring Rule #1)
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Quiz & Qs: Common Factoring, Pg 9-12
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12A-Read the Cs for Common Factoring, Pg 16-17
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12A-Write the Cs for Common Factoring Pg 18
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12A-Level 3 & 4 Questions for Common Factoring, Pg 22-25
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18
Unit 12B - Factor by Grouping
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12B Quadratic Expressions, Table of Contents (factor by grouping)
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Print one Easy Math Page then Create, Watch, Assess
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Factor Quad Expression, x^2 + 3x + 2x + 6 by Factoring Rules (Grouping)
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Quiz & Qs: Factoring by Grouping, Pg 13-16
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12B-Read the Cs for Factoring by Grouping, Pg 26
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12B-Write the Cs for Factoring by Grouping, Pg 27
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12B-Level 3 & 4 Questions for Factoring by Grouping, Pg 31-32
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19
Unit 12C: Factor Trinomials by Decomposition and Grouping
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12C Quadratic Expressions, Table of Contents (factor trinomials)
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Print five Easy Math Pages then Create, Watch, Assess
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Factor Quad Expression, x^2 + 5x + 6 by Factoring Rules
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Factor 3x^2 + 4x +1 by Factoring Rules
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Factor 2x^2 - x- 3 by Factoring Rules
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Factor 6x^2 - 5x -6, comparing Memorized Rule and with Rectangles
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Quiz & Qs: Factoring Trinomials, Pg 17-20
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Level 3 & 4 Questions for Factor Trinomials by Grouping, Pg 40-43
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Factor 4x^2 - 12x + 9 using a Memorized Rule
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12C-Read the Cs for Factor Trinomials by Grouping Pg 33-35
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12C-Write the Cs for Factor Trinomials by Grouping, Pg 36
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12C-Read the Cs for Perfect Square Trinomials, Pg 53
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12C-Write the Cs for Perfect Square Trinomials, Pg 54
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12C-Level 3 & 4 Questions for Perfect Square Trinomials, Pg 58-59
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20
Unit 12D: Factor by Difference of the Squares
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12D Quadratic Expressions, Table of Contents (factor by difference of the squares)
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Print three Easy Math Pages then Create, Watch, Assess
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Factor Quad Expression, x^2 - 4, by Factoring Rules
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Factor Quad Expression, x^2 - 4, by Factoring Rule #4 (Difference of the Squares)
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Factor 4x^2 - 9, by Factoring Rule (Difference of the Squares)
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Quiz & Qs: Factoring Difference of Squares, Pg 21-24
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12D-Read the Cs for Factoring Difference of Squares, Pg 44-45
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12D-Write the Cs for Factoring Difference of Squares, Pg 46
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12D-Level 3 & 4 Questions for Factoring Difference of Squares Pg 50-52
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21
Unit 8-12: Factoring Expressions Mock Test & Solutions, Level 1, 2, 3
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Level 1, 2, 3 Mock Test on Quadratics Factoring Expressions, Pg 76-80
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Level 1, 2, & 3 Mock Test Solutions on Quadratics Factoring Expressions, pg 81-86
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22
UNIT 13: QUADRATIC EQUATIONS - Solve Part I (Solve by isolating)
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13 Quadratic Equations, Table of Contents
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Print 7 Easy Math Pages then Create, Watch, Assess
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1. Solve x^2 = 9
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2. Solve by isolating (x-1)^2 - 16 = 0
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Quiz & Qs: Solve by Isolating, Pg 1-4
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3. Solve by isolating 3(x+2)^2 - 27 = 0
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Quiz & Qs: Solving a quadratic in the form, a(x-h)^2+k=0, Pg 5-8
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4. Solve by isolating x^2 + 4x = 0. Hint Complete the square
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5. Solve by isolating x^2 + 6x +3 = 0. Hint Complete the square
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6. Solve by isolating 3x^2 - 6x + 2 = 0. Hint Complete the square
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7. Solve by isolating -2x^2 + 8x -3 = 0. Use completing the square
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Quiz & Qs: Solving by Completing the Square (aka rewrite with a single x-variable), Pg 13-16
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1 Solving by Isolating - Read the Cs
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1 Solving by Isolating - Write the Cs
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1 Solving by Isolating - Do Level 3 Qs
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1 Solving by Isolating - Do Level 4 Qs
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2 Solving a Quadratic in the form a(x-h)^2+k=0 - Read the Cs
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2 Solving a Quadratic in the form a(x-h)^2+k=0 - Write the Cs
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2 Solving a Quadratic in the form a(x-h)^2+k=0 - Do Level 3 Qs
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2 Solving a Quadratic in the form a(x-h)^2+k=0 - Do Level 4 Qs
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4 Solving by Completing the Square - Read the Cs
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4 Solving by Completing the Square - Write the Cs
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4 Solving by Completing the Square - Do Level 3Qs
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4 Solving by Completing the Square - Do Level 4Qs
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Quad Eqns 13-15 ToC -14
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23
Unit 14: QUADRATIC EQUATIONS - Solve Part II (by Factoring)
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14 Quadratic Equations, Table of Contents
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Print 8 Easy Math Pages then Create, Watch, Assess
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2. Solve x(x+3) = 0
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3. Solve (x+3)(x+2) = 0
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4. Solve x^2 + 3x = 0
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5. Solve x^2 +5x + 6 = 0
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6. Solve 6x^2 - 5x - 6 = 0, visually
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7. Solve 6x^2 - 5x - 6 = 0 by Factoring
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9. Solve x^2 - 4 = 0
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Quiz & Qs: Solving by Factoring, Pg 9-12
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8. Solve 6x^2 - 5x - 6 = 0 by Quadratic Formula
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Quiz & Qs: Solving by Quadratic Formula, Pg 17-20
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3 Solving by Factoring - Write the Cs
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3 Solving by Factoring - Do Level 3Qs
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3 Solving by Factoring - Do Level 4s
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3 Solving by Factoring - Read the Cs
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5 Solving by Quadratic Formula - Read the Cs
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5 Solving by Quadratic Formula - Write the Cs
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5 Solving by Quadratic Formula - Do Level 3 Qs
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5 Solving by Quadratic Formula - Do Level 4 Qs
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24
Unit 15: QUADRATIC EQUATIONS - Solve Word Questions
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15 Quadratic Equations, Table of Contents
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Print 2 Easy Math Pages then Create, Watch, Assess
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1. Two numbers have a Sum of 8 and a Product is 12. Find the numbers.
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2. A ball thrown models the path, h = -4.9t^2 +19.6t +3. When does the ball reach 5 metres?
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Quiz & Qs: Word Questions Involving Solving Quadratic Equations, Pg 21-24
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6 Word Questions by Solving Quadratic Equations - Read the Cs
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6 Word Questions by Solving Quadratic Equations - Write the Cs
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6 Word Questions Involving Solving Quadratic Equations - Do Level 2 & 3 Qs
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6 Word Questions by Solving Quadratic Equations - Do Level 4 Qs
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25
Unit 13-15: Quadratics Solving Equations and Word Qs Mock Test & Solutions, Level 1, 2, 3
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Level 1, 2, 3 Mock Test on Quadratics Solving Equations
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Level 1, 2, 3 Mock Test Solutions on Quadratics Solving Equations
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26
Unit 16: QUADRATIC RELATIONS - Graph
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16 Quadratic Relations, Table of Contents
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Print 5 Easy Math Pages then Create, Watch, Assess
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1. Graph y = x^2, a) with Table of Values and b) Find mirror points
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2. Graph y = x^2 - 2x – 8, a) Table of Values and then b) Find Mirror Points
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3. Graph y = x^2 - 2x – 8, by finding x-intercepts (a.k.a. Mirror Points)
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4. Graph y = x^2 - 2x - 8 by finding y-intercept first and then a Mirror Point
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5. Graph y = - (x+4)(x-2) x-intercepts (Mirror Points)
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Quiz & Qs: Graphing from Standard Form, Pg 1-4
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Quiz & Qs: Graphing from Factored Form, Pg 5-8
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1 Graphing from Standard Form - Read the Cs
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1 Graphing from Standard Form - Write the Cs
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1 Graphing from Standard Form - Do Level 4 Qs
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1 Graphing from Standard Form - Do Level 3 Qs
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2 Graphing from Factored Form - Read the Cs
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2 Graphing from Factored Form - Write the Cs
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2 Graphing from Factored Form - Do Level 3 QS
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2 Graphing from Factored Form - Do Level 4 Qs
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27
Unit 17: QUADRATIC RELATIONS - Vertex form, Completing the Square (changing Standard form to Vertex form)
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17 Quadratic Relations, Table of Contents
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Print 8 Easy Math Pages then Create, Watch, Assess
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1. For the Quad Relation, y = (x+1)^2 - 9, find Vertex with a Table of Values
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2. Write y = x^2 + 2x - 8, in vertex form - done visually
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3. Write y = x^2 + 2x - 8, in Vertex form - done with Memorized Rule
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4. Write y = 2x^2 + 4x - 4, in Vertex form - done visually
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5. Write y = 2x^2 + 4x - 4, in Vertex form – done with Memorized Rule
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6. For y = 2x^2 + 4x - 4, complete the square to find the vertex (MathCubed Method)
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7. For y = 3x^2 - 6x + 2, complete the square to find the vertex (MathCubed Method)
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8. For y = -2x^2 + 8x - 3, complete the square to find the vertex (MathCubed Method)
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Quiz & Qs: Completing the Square – Standard Form to Vertex Form, Pg 13-16
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Quiz & Qs: Graphing from Vertex Form, Pg 17-20
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4 Completing the Square (Standard Form to Vertex Form) - Read the Cs
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4 Completing the Square (aka Standard Form to Vertex Form) - Write the Cs
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4 Completing the Square (aka Standard Form to Vertex Form) - Do Level 3 Qs
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4 Completing the Square (aka Standard Form to Vertex Form) - Do Level 4 Qs
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5 Graphing from Vertex Form - Read the Cs
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5 Graphing from Vertex Form - Write the Cs
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5 Graphing from Vertex Form - Do Level 3 Qs
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5 Graphing from Vertex Form - Do Level 4 Qs
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28
Unit 18: QUADRATIC RELATIONS - Word Questions
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18 Quadratic Relations, Table of Contents
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Print 3 Easy Math Pages then Create, Watch, Assess
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1. A ball thrown models the path, h = -4.9t^2 +19.6t +3. Find the maximum height.
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2. Two numbers have a Sum of 12. Find the numbers if their Product is a maximum.
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3. A movie theater charges $15 per ticket and gets 250 customers. For every $1 increase in price, 10 fewer customers attend. Price to maximize revenue.
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Quiz & Qs: Word Questions Involving Minimum, Maximum (Vertex), Pg 25-28
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7 Word Questions Involving Minimum and Maximum (aka Vertex) - Read the Cs
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7 Word Questions Involving Minimum and Maximum (aka Vertex) - Write the Cs
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7 Word Questions Involving Minimum and Maximum (aka Vertex) - Do Level 2 & 3 Qs
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7 Word Questions Involving Minimum and Maximum (aka Vertex) - Do Level 4 Qs
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29
Unit 19: QUADRATIC RELATIONS - Summary and Finding Equations of Relations
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19 Quadratic Relations, Table of Contents
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Print 4 Easy Math Pages then Create, Watch, Assess
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OLD-Blank Easy Math Page (print 4)
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1. Find Quadratic Relation that has x-intercepts of 2 and -3, and Point (1,6)
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Quiz & Qs: Determine an Equation for the Quadratic Relation in Factored Form, Pg 9-12
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2. Find Quadratic Relation with Vertex (-1,3) and Point (1,-2)
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Quiz & Qs: Determine an Equation for the Quadratic Relation in Vertex Form, Pg 21-24
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3. What does Second Difference have to do with a Quadratic?
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4. Review of Quadratic Relations
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3 Determine Equation for Relation in Factored Form - Read the Cs
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3 Determine Equation for Relation in Factored Form - Write the Cs
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3 Determine Equation for Relation in Factored Form - Do Level 3 Qs
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3 Determine Equation for Relation in Factored Form - Do Level 4 Qs
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5 Graphing from Vertex Form - Read the Cs
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5 Graphing from Vertex Form - Write the Cs
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5 Graphing from Vertex Form - Do Level 3 Qs
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5 Graphing from Vertex Form - Do Level 4 Qs
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30
Unit 20: QUADRATIC RELATIONS - Transformations and Graph
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20 Quadratic Relations, Table of Contents
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Print 8 Easy Math Pages then Create, Watch, Assess
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1. Introduction to Quadratic Transformations
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2. Graph y = x^2, a) with Table of Values and b) Find Mirror Points – copied from Graph Quad Relations
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3. For y = x^2 + 2, a) Write Transformation and b) Sketch
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4. For y = (x-1)^2, a) Write Transformation and b) Sketch
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5. For y = 2x^2, a) Write Transformation and b) Sketch
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6. For y = -x^2, a) Write Transformation and b) Sketch
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7. For y = -0.5 (x+1)^2 -2, a) Write Transformation and b) Sketch
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8. Using Step Patterns to Graph Quadratic Relations Quicker
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31
Unit 16-20: Quadratics Graphing Relations and Word Qs Mock Test & Solutions, Level 1, 2, 3
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Level 1, 2, 3 Mock Test on Quadratics Graphing Relations
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Level 1, 2, 3 Mock Test Solutions on Quadratics Graphing Relations
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32
Unit 21: TRIGONOMETRY - Right Triangle Fundamentals
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21 Trig right triangles, Table of Contents
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Print 4 Easy Math Pages then Create, Watch, Assess
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1. Intro to Trigonometry
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2. Evaluate Sin 30 degrees
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3. Evaluate Cos 60 degrees
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4. Evaluate Tan 30 degrees
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2 Trigonometric Ratios in a Right Triangle (Soh Cah Toa) - Read the Cs
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2 Trigonometric Ratios in a Right Triangle (Soh Cah Toa) - Write the Cs
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33
Unit 22: TRIGONOMETRY - Right Triangle, Finding angle or side
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22 Trig right triangles, Table of Contents
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Print 7 Easy Math Pages then Create, Watch, Assess
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1. In a right triangle hypotenuse is 4cm: Find length of opposite side to 30 degree angle.
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2. In a right triangle hypotenuse is 4cm: Find length of adjacent side to 30 degree angle.
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3. A right triangle has an angle of 40 degrees and adjacent side length of 10cm. Find length of opposite side.
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4. In a right triangle the hypotenuse is 10cm. Find the angle if opposite side is 8cm
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5. In a right triangle the hypotenuse is 10cm. Find the angle if adjacent side is 6cm
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6. In a right triangle the opposite side is 6cm. Find the angle if adjacent side is 8cm
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Solve triangle PQR, if angle P is 90 degrees, q is 10cm and r is 15cm
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Quiz & Qs: Soh Cah Toa, Pg 1-4
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2 Trigonometric Ratios in a Right Triangle (Soh Cah Toa) - Do Level 2 Qs
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2 Trigonometric Ratios in a Right Triangle (Soh Cah Toa) - Do Level 3 & 4 Qs
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34
Unit 23: TRIGONOMETRY - Right Triangle Word Questions
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23 Trig right triangles, Table of Contents
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Print 2 Easy Math Pages then Create, Watch, Assess
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1. Mary is 5m away from the base of a tree. If the angle of elevation to the top of the three is 70 degrees, what is the height of the tree?
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2. Mary’s angle of depression to Henry is 40 degrees. If Mary is a t height of 10m, how far away is Henry?
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Quiz & Qs: Word Questions in Trig, Pg 13-16
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35
Unit 24: TRIGONOMETRY - Non-Right Triangles with the Sine Law
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24 Trig non-right triangles, Table of Contents
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Print 5 Easy Math Pages then Create, Watch, Assess
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1. Intro to Sine Law
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In triangle ABC, Angle C is 70 degrees, angle A is 30 degrees, a is 40cm. Find length of side c.
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In triangle PQR, angle P is 40 degrees, p is 18m, r is 21m. Find angle R
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Solve triangle PQR where p is 42cm, r is 67cm and angle R is 72 degrees
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A triangle has angles of 25 degrees and 85 degrees. If longest side is 24cm, find length of shortest side.
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Quiz & Qs: Sine Law, Pg 5-8
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3 Sine Law (for non-right triangles) - Read the Cs
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3 Sine Law (for non right triangles) - Write the Cs
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3 Sine Law (for non right triangles) - Do Level 2, 3 & 4 Qs
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36
Unit 25: TRIGONOMETRY - Non-Right Triangles with the Cosine Law
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25 Trig non-right triangles, Table of Contents
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Print 4 Easy Math Pages then Create, Watch, Assess
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Intro to Cosine Law
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In triangle ABC, angle A is 40 degrees, b is 23m and c is 20m. Find length of side a
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In triangle QRT, q is 13cm, r is 11cm and t is 16cm. Find angle R
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A triangle has side lengths of 10cm, 12cm and 14cm. Solve the triangle
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Quiz & Qs: Cosine Law, Pg 9-12
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4 Cosine Law (for non-right triangles) - Read the Cs
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4 Cosine Law (for non-right triangles) - Write the Cs
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4 Cosine Law (for non-right triangles) - Do Level 2, 3 & 4 Qs
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37
Unit 26: TRIGONOMETRY - Non-Right Triangles Word Questions
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26 Trig non-right triangles, Table of Contents
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Print 2 Easy Math Pages then Create, Watch, Assess
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From the school Bob is 10m away and Mary is 7m away. The angle from the school between Bob and Mary is 20 degrees. How far apart are they?
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To measure the length of a pond Math starts at one end of the pond (on the dock) and measures the angle between her house and a tree on the opposite side to be ninety five degrees. She then walks 30 metres to
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5 Word Questions in Trigonometry - Read the Cs
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5 Word Questions in Trigonometry - Write the Cs
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5 Word Questions in Trigonometry - Do Level 3 & 4 Qs
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38
Unit 21-26: Basics of Trigonometry Mock Test and Solutions, Level 1, 2, 3
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Level 1, 2, 3 Mock Test on Basics of Trigonometry
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Level 1, 2, 3 Mock Test Solutions on Basics of Trigonometry
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39
Unit 27: SIMILAR TRIANGLES
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27 Similar Triangles, Table of Contents
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Print 9 Easy Math Pages then Create, Watch, Assess
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1. Intro to Similar Triangles
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2. Meaning of Similar Triangles by SSS
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3. If Triangle DEF and RST are similar by SSS find, a) Scale Factor and b) Side RS
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4. Meaning of Similar Triangles by AAA
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5. Triangles PQR and ABC are similar. If Angle P is 40 degrees, Angle B is 56 degrees, find Angle C.
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6. Show two Triangles are Similar by AAA
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7. Meaning of Similar Triangles by SAS
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8. Given Triangle ABC and PQR find side AC
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9. Find the Width of a river using Similar Triangles
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Quiz & Qs: Similar Triangles, Pg 1-5
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1 Similar Triangles - Read the Cs
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1 Similar Triangles - Write the Cs
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1 Similar Triangles - Do Level 3 & 4 Qs
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40
Unit 28: POWERS & EXPONENTS
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20 Powers and Exponents, Table of Contents
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Print 7 Easy Math Pages then Create, Watch, Assess
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1. Intro to Powers and Memorized Grade 9 Power Rules
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2. Memorized Grade 10 Power Rules
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3. Evaluate the Power 2^0 by Patterning
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4. Evaluate the Power 2^0 by making up an easy division of Powers question
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5. Evaluate the Power 2^-3 by Patterning
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6. Evaluate the Power 2^-3 by making up an easy division of Powers question
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7. Evaluate the Power (2/3) ^-2
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41
Unit 29: Grade 10 MOCK FINAL EXAM and MOCK EXAM SOLUTIONS
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Grade 10D Mock Exam
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Grade 10D Mock Exam Solutions
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