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MPM2D 2019-2020 Sem1

Page history last edited by Steve Sweeney 2 years, 5 months ago

MPM2D - Principles of Mathematics (Academic)

 

This course enables students to broaden their understanding of relationships and extend their problem-solving and algebraic skills through investigation, the effective use of technology, and abstract reasoning. Students will explore quadratic relations and their applications; solve and apply linear systems; verify properties of geometric figures using analytic geometry; and investigate the trigonometry of right and acute triangles. Students will reason mathematically and communicate their thinking as they solve multi-step problems.

 

Prerequisite: MPM1D (Grade 9 Academic Math), recommend at least 70% in MPM1D to find success in MPM2D

 

This page will have a daily breakdown of the course.  Most recent classes are at the top of the page, while the older classes get pushed to the bottom.

 

The beginning of each unit will be marked in blue.

Evaluations (e.g., tests, assignments, quizzes) will be marked in red.

 

 

 

Date Text Day

Topic

Extra Resources

Assigned Work:

Nelson 10 (2007)

J24

J23

J22

J21

J20

    Course Review

 

J17     Test: Trignometry  

 

J16     Review: Trigonometry   

p.388 # 21 (right-angle trig)

p.430 # 1-12

p.432 # 5, 6, 9, 10, 12, 13 

J14

J13

   

Applications of Trigonometry

  p.428 # 6, 7, 9, 10, 13, 14, 16 
J10     

Choosing Trig Method

 
  • p.427 # 1, 2, 3
  • worksheet (solve for unknowns on separate page) 
J09     

The Cosine Law - Finding Angles

  p.418 # 1-3, 5, 8, 9, 11
J08     

The Cosine Law - Finding Sides

  p.410 # (1-5)(ac), 7, 8a, 9, 11a, 13, 18 
J07     work period: Sine Law   p.402 # 9-­15
J06     

The Sine Law

  p.402 # 1-­7 
      Unit 7: Trigonometry  
 
D19     

Course Review: Battleship

   
D18    

documentary:

BBC, The Code, Part 1

   
D17     Test: Right-Angle Trigonometry & Similar Triangles  

 

D16      Review: Trigonometry & Similar Triangles   

p.386 # 3 - 12, 14 - 29

p.390 # 1 - 10, 13

 

D13

D12 

   

Right Triangle Word Problems

 

p.380:

day 1 # 1-3, 5, 6, 11, 12, 14, 15

day 2 # 17, 18, 19, 21, 22, 23

challenge # 25-26, 28, 29

D11     

Solving Right Triangles

  p.372 # 12(even), 13, 14, 17, 18, 20, 25, 32, 33 
D10     

Trigonometric Ratios in Right Triangles

p.372 # (1, 2, 6, 7, 10, 11, 12)(odd) 
D09    

The Tangent Ratio

classNote

Geogebra Demo: Meaning of Trig Ratios in Right Triangles  p.362 # (1-8)(odd),11, 13, 16, 21, 22
D05    

Introduction to Trigonometric Functions

classNote

Geogebra Demo: Meaning of Trig Ratios in Right Triangles

handout
D03     work period   p.349 # 14, 16, 17, 19, 23, 24, 28
D02     

Applications of Similar Triangles

  p.348 # 5, 6ace, 7, 8ac, 9, 11, 12
N29     

Congruent & Similar Triangles

Video Tutorial - Similar Triangles Part 1

Video Tutorial - Similar Triangles Part 2

p.333 # 5 - 9, 13, 14, 17, 18 
      Unit 6: Right-Angle Trigonometry & Similar Triangles  
 
N28  
  Test: Quadratic Equations    

N27

N26

    Review: Quadratic Equations   p.316 # 1, 2, 4, 5, 6, 9, 10, 11, 13, 14
p.318 # 2, 5, 6, 8, 9, 11-19
p.321 # 15, 16, 17, 19, 20, 21

N25

N22

   

Applications of Quadratic Equations

  day 1: p.311 # 2-6, 8-13
day 2: p.313 # 14-24
N21     

Predicting Number of Solutions:

Vertex Form & Discriminant

 

Handout, from Nelson10 2010:

# 2, 3, 4, 5, 7, 9, 10, 12

N20     

Solve using Vertex Form & Quadratic Formula

  p.300 # (1-3)(odd), 4, 6, 7, 9 
N18     

Solving Quadratic Equations

Video Tutorial - Solving Quadratic Equations p.279 # (1­6)(odd), 8, 11, 14, 17 
N14     

Finding the Vertex by Symmetry using Matching Points

 

p.270 # (3, 4, 7, 8, 10, 11)(even) 
N13     

Standard Form to Vertex Form:

Completing the Square

Video Tutorial - Solving by Completing the Square p.270 # (2-8, 10, 11, 17)(odd) 
      Unit 5: Quadratic Equations    
N12     Test: Quadratic Relations    
N11     Assembly    
N08    

Review

classNote

 

p.202 # 3 - 8

p.204 # 1 - 3, 5a

p.270 # 5

N07    

Equations from Graphs/Points

classNote

worksheet: equations from graphs/points

WS#2: Equations from Graphs/Points

p.185 # 6, 7, 10, 15 
N06     

Review / Work Period

classNote

 

p.202 # 3 - 8

p.204 # 1 - 3, 5a

p.270 # 5

N05     

Vertex Form & Graphing Transformations

classNote

p.185 # 1­-5, 8, 9, 11 
N04     

Translate Quadratics & Parabolas

classNote

 

p.178 # 6-8

+ handout

 
N01     

Stretch & Reflect Quadratics & Parabolas

classNote

Handout # 1, 2, 4, 5, 8, 11 
O31     

Factored Form & Zeroes

classNote

Video Lesson

WS - Graphing from Factored Form

p.192 # (1-4)(ac), 5, 7, 8, 10, 13 
O30
   

Key Properties of Parabolas

classNote

 

Video Lesson

Handout: Key Properties

VT: Properties of Graph of Quadratic Relation

Handout # 1-6, 7ef, 9ab
(from Nelson 10, p.146)

(answers)

O29
   

Introduction to Quadratic Relations

  • classNote
  • graphing
  • first & second differences
p.172 # 2, 3, 6, 8, 9
      Unit 4: Quadratic Relations    
O28     Test: Factoring     

O25

O24

    Review: Factoring

p.203 # 9

p.256 # 1-3, 5-7, 9-12, 14, 16-18, 19-22

p.258 # 5, 12

(do odd letters, where applicable)

O23     

Efficient Factoring Methods

classNote 

 
  • try questions from worksheets using faster methods
  • only try faster methods if you have mastered decomposition 
O22     

Factoring Strategies

classNote

 

video lesson

WS: Factor by Decomposition with Steps in Solutions

WS: Factoring All Types

worksheet(s)
O21     

Factoring Special Patterns

classNote

 

video lesson

WS: Special Pattern Trinomials

(includes common factors)

p.253 # (1-6)(odd), 7, 8ace, 9ab, 10, 14, 20abdf 
O18     

Factoring Complex Trinomials

classNote

video lesson

WS: Complex Trinomials

(includes common factors)

p.246 # (2 - 6)(odd), 8ac, 9ac, 15, 17ac, 18a 
O17     

Factoring Simple Trinomials

classNote

 

video lesson

WS: Simple Trinomials

(includes common factors)

p.240 # (2 - 5)(odd), 7, (9-11)(ac), 15* 
O16     

Common Factors

Factoring by Grouping

Video Lesson

WS: Common Factors

WS: Factor by Grouping

p.234 # 1, 3 - 6, 8 - 11, 13 
O15     

Expanding & Simplifying

 

Video using Algebra Tiles

Video without Algebra Tiles

p.217 # 2-­8

WS: Expand & Simplify

O10    

Zero & Negative Exponents

  p.199 # 1-­5, 7, 8ac, 14*
      Unit 3: Factoring & Algebra    
O09
    Test: Analytic Geometry
   
O08     Review: Analytic Geometry

Extra WS: Circle Basics

Extra WS: Slope & Distance Basics

Extra WS: Special Lines in Triangles

p.100 # 1, 2, 4, 6, 9abc, 13, 15, 17

p.152 # 5, 9

p.154 # 5, 6, 8, 12 

O07    

Triangle Centres

Geogebra: Triangle Centres

p.125 # 12, 15 + triangle centre questions from handouts

+ extra question from class note

O04  
 

Special Lines in Triangles

Special Lines (includes Median)

Handout: Step by Step Instructions

Geogebra: Lines & Triangles

worksheet (answers)
O04          
O03     work period, review    
O02    

Properties of Circles

  p.150 # 1, 4, 5, 7, 9 
O01    

Properties of Quadrilaterals

Quiz: Midpoint, Length, Circles

  p.142 # 2, 4, 5, 7, 10, 14
S30    

Properties of Triangles

  p.124 # 1-4, 7, 9, 12, 15, 17 
S27
  19
Assignment
   
S26 2.04 18

Circle in Standard Position


Video: Circle in Standard Position


p.97 # 3bd, 4bdf, 5, 7, 9, 13, 15, 19*
S25 2.03 17

Apply Slope, Midpoint, and Length


Video: Classifying Geometric Shapes

Handout: Geometry Diagrams

Worksheet: Slope & Distance

p.89 # 1, 3, 5, 12, 14, 16, 20, 24
S24 2.02 16

Length of a Line Segment

 

Video: Length of a Line Segment


p.77 # 1, 2ac, 3ac, 6, 10, 13. 15, 19, 20*, 23*
S23 2.01 15

Midpoint of a Line Segment

Video: Midpoint of a Line Segment

p.66 # (1-3)(ac), 4, 5, 8, 12, 13, 14, 17
S23 2.00
15
Unit 2: Analytic Geometry
All Lessons
 
S20   14
Test: Linear Systems    
S19   13
Review: Linear Systems   p.48 # 1, 2, 4-10, 12-­17
S18 1.05
12

Word Problems: geometry-money

 

p.46 # 3, 4, 11, 12, 15, 16

S17 1.05
11

Word Problems: mixtures-percent

 

p.46 # 9, 14, 19*, 20*

Worksheet-2 # 5

 
S16
1.05
10

Distance-Speed-Time

Word Problems

Video: Distance-Speed-Time Problems

p.46 # 7, 8, 17*, 18*

Worksheet-1 # 2-4

S13

1.05

1,01

9

Modelling with Linear Equations

Video: Model Linear Equations

(equations from words)

Model Equations ONLY!

(do not solve)

p.46 # 1, 3, 4, 7, 8, 10, 13, 15, 16, (17-19)*

S12   8 Quiz - Graph Substitution Verify
   
S12 1.04
8

Solving by Elimination

Video: Solving by Elimination
p.40 # (1-7)(ad), 10, 12c, 13, 14a, 17, (20-22)*
S11
1.03
7

Distinct & Coincident Lines

Video: Distinct & Coincident Lines

Handout: Types of Linear Systems

p.32 # 4 - 6, 8, 9 
S10
1.02
6

Solving by Substitution

Video: Solving by Substitution
p.26 # 1bd, 4, 5, 7, 8, 12-14, 16, 21*
S09 1.01
5

Solving Graphically & Verify Solutions

Video: Solving Linear Systems Graphically

Video: Verifying Solutions

  • read p.9 (translating words into algebra)
  • p.17 # 1-3, 8-10ac, 11, 12
S09
1.00
5
Unit 1 - Linear Systems    
S06  
4

Review - Slope & Equation of a Line

Video Lesson: Slope & Equation of a Line

classNote

MPM1D: Parallel and Perpendicular Lines

MPM1D: Equations from Two Points

worksheet
S05

 

3

Review - Linear Relations

classNote

Video Lesson - Graphing Linear Relations

MPM1D: Graphing Lines Using Intercepts

p.464 # 1 - 4

p.5 # 5 - 8

 

Extra: from Handout: (answers)

A-6: p.468 # 1bd, 2abc, 3abcd, 4
A-7: p.470 # 1abc, 2ab, 3d, 4bc, 5bc

p.6 # 10, p.12 # 1, 4

S04  
2

Review - Simplifying & Solving

classNote

Video Lesson - Simplifying & Solving

MPM1D: Distributive Property

MPM1D: Solving Simple Equations

MPM1D: Solving Multi-Step Equations

From Handout: (answers)

A-8: p.471 # 1abf, 2bc, 3, 4ac, 5cd, 6bc
A-9: p.472 # 1def, 3
S03  
1

Review - Integers & Rational Numbers

classNote

Video Lesson - Fractions

MPM1D: Integers & Order of Operations

MPM1D: Fractions

Video Tutorial - Order of Operations

Khan Academy - Order of Operations Basics Advanced

From Handout: (answers)

A-1: p.461 # 1, 3, 4, 5
A-2: p.462 # 1, 2
A-3: p.463 # 1 - 5
Sep.3  
1

Welcome to MPM2D, Introduction

 

   
Sep.3  
1
Unit 0 - Introduction & Review MPM1D - Entire Course
 

 

 

p. 26 # 1ab, 2, 3ab, 5abf, 10, 18*

2.03 2.02    

Special Lines in Triangles P3 P4

Video Lesson

Special Lines (includes Median)

Handout: Step by Step Instructions

ESPA#2: Analytic Geometry

 

p.79 #12, 13c, 14

p.102 #4

p.110 #13b

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