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MPM2D using Nelson 10

Page history last edited by Steve Sweeney 3 months, 4 weeks 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.

Returned evaluations with be marked in purple.

 

Chapter Lesson Day Status

Topic

Extra Resources

Assigned Work:

Nelson 10 (2007)

Assigned Work:

Nelson 10 (2010)

0.001
0.00
1
  Unit 0 - Introduction & Review MPM1D - Entire Course
   
0.002
0.00
1
 

Welcome to MPM2D

 

     
0.01
0.01
1
 

Review - Integers & Rational Numbers P3 P4

Video Lesson - Fractions

MPM1D: Integers & Order of Operations

MPM1D: Fractions

Video Tutorial - Order of Operations

Khan Academy - Order of Operations Basics Advanced

From Handout:

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

Worksheet (to be handed in)

Extra:

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

0.02
0.02
2
 

Review - Simplifying & Solving P3 P4

Video Lesson - Simplifying & Solving

MPM1D: Distributive Property

MPM1D: Solving Simple Equations

MPM1D: Solving Multi-Step Equations

From Handout:

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

Worksheet (to be handed in)

Extra:

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

0.03

0.03
3
 

Review - Linear Relations P3 P4

Video Lesson - Graphing Linear Relations

MPM1D: Graphing Lines Using Intercepts

From Handout:

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

p.6 # 10

p.12 # 1, 4

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

p.6 # 10

p.12 # 1, 4

0.04 0.04
4
 

Review - Slope & Equation of a Line P3 P4

Video Lesson

MPM1D: Parallel and Perpendicular Lines

MPM1D: Equations from Two Points

  worksheet
1.00
1.00
5
  Unit 1 - Linear Systems      
1.012 1.01
5
done

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
p.26 # 2, 3ab, 5abf, 10, 18*
1.03
1.03
7
change

Quiz - Graph Substitution Verify

Distinct & Coincident Lines P3 P4

Video: Distinct & Coincident Lines

Handout: Types of Linear Systems

p.32 # 4 - 6, 8, 9  p. 59 # 1, 2a, 3abcfh, 4, 6*
1.013 1.01
5
 

Verifying Solutions P3 P4

Video: Verifying Solutions
 

p.26 # 1ab,

Verify 2, 3ab, 5abf

1.02 1.02
6
done

Solving by Substitution P3 P4

Video: Solving by Substitution
p.26 # 1bd, 4, 5, 7, 8, 12-14, 16, 21*
p.39-40 # 3, 4bf, 5be, 9bcef
1.041 1.04
8
done

Solving by Elimination P3 P4

Video: Solving by Elimination
p.40 # (1-7)(ad), 10, 12c, 13, 14a, 17, (20-22)*
p.54 # 1, 4, 6odd, 11odd, 20*
1.042 1.05
9
 

Review: Graph, Sub, Eliminate

Quiz - Solve, Verify

 

complete previous homework

extra: additional problems

extra: challenge problems

 
1.011
1.06
10
 

Modelling with Linear Equations P3 P4

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)*

Model Equations ONLY!

(do not solve)

p.27 # 8, 12, 13
p.39 #10, 11, 14, 15
p.55 # 8, 9

1.051
1.07
11
 

Distance-Speed-Time P3 P4

Word Problems

Video: Distance-Speed-Time Problems
p.46 # 7, 8, 17*, 18*
p.27 # 8    p.55 # 13    p.64 # 7
1.052
1.08
12
 

Mixture-Percent

Word Problems P3 P4

Video: Mixture-Percentage Problems
p.46 # 9, 10, 13, 19*, 20*
p. 27 # 7   p. 39 # 11   p. 55 # 10, 12
1.053
1.09
13
 

Geometry-Money

Word Problems P3 P4

Video: Geometry-Money Problems
p.46 # 3, 4, 11, 12, 15, 16
p. 40 #17     p. 55 #9
plus: Erik has $4.80 in nickels and quarters.  If he has 6 more nickels than quarters, how many of each does he have?
1.98 1.10
14
  Review - Linear Systems    

p. 62 #5a, 6, 7bc, 9, 12acd, 13, 14, 16, 17, 18

handout with word problems (and answers)

1.99 1.11
15
  Test: Linear Systems      
2.00
2.00     Unit 2: Analytic Geometry
All Lessons
   
3.00 3.00     Unit 3: Geometric Properties      
2.01 2.01    

Midpoint of a Line Segment

Midpoint of a Line Segment

  p.78 #  2ac, 3b, 4e, 5, 6, 8, 9, 11
2.02 2.03    

Length of a Line Segment P3 P4

Video Lesson

    p.86 # 1ac, 4cd, 6, 7(draw), 12ab
2.04 2.04    

Circle in Standard Position P3 P4

Video Lesson

    p.91 # 1, 2, 3a, 4, 5, 6, 8, 11, 14
3.001      

Classifying Geometric Shapes P3 P4

Video Lesson

Handout: Geometry Diagrams

Worksheet: Slope & Distance

 

p.101 # 2, 5, 6b, 7, 8, 11, 12, 16d

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

3.01
      Triangle Properties & Centres P3 P4
   

p.120 # 6, 8, 9, 10

+ problem from class (see notes)

3.02       Verify Properties of Triangles      
3.004
      Applications of Triangle Centres    

p.120 # 6, 8, 9, 10

+ problem from class (see notes)

3.97
     

Assignment:

Due Wed, March 23

     
3.98       Review ESPA # 2 - Coordinate Geometry - 10 versions
 

p124 #1, 2, 3, 6, 7, 8, 9, 10, 11, 13,

15, 16, 18, 20a, 21, 22, 23

3.99
      Test: Analytic Geometry  
   
4.001
      Unit 3: Parabolas & Factored Form
All Lessons
   
4.002
     

Graphing & First/Second Differences P3 P4

Video Lesson

VT: Graphing Using ToV, 1st Differences

MPM1D: First Differences

p.172 # 2, 3, 6, 8, 9
p.137 # 1, 2, 3, 4, 5ab, 6, 7
4.003      

Key Properties of Parabolas P3 P4

Video Lesson

Handout: Key Properties

VT: Properties of Graph of Quadratic Relation

Handout # 1-6, 7ef, 9ab
(from Nelson 10, p.146)
 
p.145 # 1­-6, 7ef, 9ab
4.004      

Expanding & Simplifying P3 P4

Video using Algebra Tiles

Video without Algebra Tiles

WS: Expand & Simplify

ESPA # 3 - Quadratics 1 - Factored Form - 10 versions

  p.166 # 3-5 (odd letters), 8-10 (odd letters)
4.005
     

Common Factors P3 P4

Video Lesson

WS: Common Factors

WS: Factor by Grouping

  p.202 # 1, 3bd, 5bc, 6def, 7, 8, 9, 10
4.031
     

Stretch & Reflect Quadratics & Parabolas P3 P4

video lesson

 
  p. 256 # 1, 2, 4 ,5 ,8
4.032
     

Translate Quadratics & Parabolas P3 P4

video lesson

 

  p. 262 # 1 - 5
4.033      

Vertex Form & Graphing Transformations P3 P4

video lesson

  p.269 # 1 - 3 (basics)
# 4ace, 5ace, 6, 7ace
# 10, 11, 13, 14, 15
4.05      

Factored Form P3 P4

Video Lesson

  p.192 # (1-4)(ac), 5, 7, 8, 10, 13  p.155 # 2, 3, 4ace, 5, 6ace, 7, 10
5.00
      Unit 4: Quadratics Part 2
ESPA - Quadratics Part 2 - Practice Quizzes x10  
   
5.04
     

Factoring Simple Trinomials P3 P4

video lesson

WS: Simple Trinomials

(includes common factors)

 

p.211 # 2, 4

# (6, 7, 8)(ace)
# 9ace (look for common factors first)
# 12ace, 13ac


5.05      

Factoring Complex Trinomials P3 P4

video lesson

WS: Complex Trinomials

(includes common factors)

  p.223 # 3bc, 4bc, 5abc, 6, 7abc, 11, 15, 17
5.06      

Factoring Special Patterns P3 P4

video lesson

WS: Special Pattern Trinomials

(includes common factors)

  p.230 # 3bc, 5, 6, 7, 10, 11, 14
5.90      

Factoring Strategies P3 P4

video lesson

WS: Factoring All Types
  p.236 # 1, (6-8)ace, 9, 10, 12, 14ac, 17*
5.98       Review: Quadratic Relations I     p.184 # 1, 3, 5, 8, 10, 11ace, 14ace, 15ac, 16
p.240 # 2, 6, 7, 9, 10, 13ace, 16ace, 17ace, 19ace
5.99       Test: Quadratic Relations I      
6.00
     

More Word Problems P3 P4

video lesson

    p. 357 #2, 3, 5, 7, 9, 14
6.00
     

Predicting Number of Solutions:

Vertex Form & Discriminant P3 P4

video lesson

    p.350 # 2, 3, 4, 5, 7, 9, 10, 12
6.00
     

Solving Equations:

Vertex Form & Quadratic Formula P3 P4

video lesson

    p.343 # 1ad, 3, 4bdf, 5ace, 8bdf, 9ad,
10cd, 14, 19*
6.00
     

Standard Form to Vertex Form:

Completing the Square P3 P4

video lesson

Video Tutorial - Solving by Completing the Square   p.331 # 2, 3, 4, 5ace, 7bde, 9, 11, 16
6.00
     

Solving Quadratic Equations P3 P4

video lesson

Video Tutorial - Solving Quadratic Equations   p.320 # 4ac, 6ace, 7ace, 11
6.00
     

Word Problems in Standard, Factored, and Vertex Form

(work period) P3 P4

    p.294 # 11, 13, 16, 20*
p.302 # 9, 12, 13, 16*
6.00
     

Relating Three Forms of Quadratic Equations P3 P4

video lesson

    p.293 # 4c, 5ac, 6ac, 9ac, 10ac
p.301 # 4, 5acef, 7ace
6.00      

Modelling Using Quadratic Equations P3 P4

video lesson

    p. 280 # 1, 2ace, 3ace, 4, 5ace, 6cd,
7, 8 (draw diagram), 10, 15
6.98      

Review

(includes focused Q#)

   

p.241 #19abe

p.185 #1b, 3b, 5, 9, 11ad, 12, 16

p.304 #1a, 3, 5, 12, 15ac,

p.361 #5, 7, 9, 11ae, 15, 17

6.982
     

Review:

Quadratics Part 1 & 2

   

Part 1:

p.184 # 1, 3, 5, 8, 10, 11ace, 14ace, 15ac, 16
p.240 # 2, 6, 7, 9, 10, 13ace, 16ace, 17ace, 19ace

Part 2:

p.241 #19abe

p.185 #1b, 3b, 5, 9, 11ad, 12, 16

p.304 #1a, 3, 5, 12, 15ac,

p.361 #5, 7, 9, 11ae, 15, 17

6.99
      Test: Quadratics Part 2
     
6.992       Retest: Quadratics 1 & 2     (re)submit fully completed reviews for part 1 & 2
7.00
      Unit 5: Trigonometry ESPA # 5 - Trigonometry - 10 versions
   
7.01
     

Congruent & Similar Triangles P3 P4

video lesson

Video Tutorial - Similar Triangles Part 1

Video Tutorial - Similar Triangles Part 2

  Read p.374 - 378
p.378 # 1, 2, 4ac, 5, 6, 7ab, 8cd, 13
7.02
     

Applications of Similar Triangles P3 P4

video lesson

    p.386 # 4, 6, 9, 12, 14*

7.03

7.04

     

Trigonometric Ratios in Right Triangles P3 P4

video lesson

Video Tutorial - Basic Trigonometry Part 1

Worksheet - Label Sides & Select Ratio & Solve

  p.398 # 2, 3, 6, 7, 8abc, 9, 10a, 11a, 13
7.051      

Solving Right Triangles P3 P4

video lesson

    p.403 #1a, 2a, 3, 5a, 6a, 7a, 8a, 10, 12, 13ab
7.052      

Right Triangle Word Problems P3 P4

video lesson

    p.412 # 2, 3, 7, 10, 11
8.01
     

The Sine Law P3 P4

video lesson

    p.427 # 2ac
p.432 # 2, 3ace, 5ac, 6, 14, 15
8.02
     

The Cosine Law P3 P4

video lesson

    p.438 # 2, 3b
p.443 # 2, 3, 4, 5ac
8.022
     

Choosing Sine vs Cosine Law P3 P4

video lesson

ESPA # 5 - Trigonometry - 10 versions   p.449 # 1, 2, 3
8.04
     

Applications of Trigonometry P3 P4

video lesson

    p.450 # 4 (see Ex.2), 9 (see Ex.1)
p.450 # 5, 8, 11, 13, 15
8.90      

Practice Test: Similar Triangles & Trigonometry

solutions

WS: Right Angle Trigonometry

WS: Sine & Cosine Law

   
8.98
      Review: Similar Triangles & Trigonometry     p.416 #2, 3, 5, 6, 9, 13, 14, 16
p.453 #2, 3, 7, 8, 11, 12
8.99
      Test: Similar Triangles & Trigonometry      
9.00
       Summative Preparation 1
     
9.01      

Communication & Reflection

(on provided sample) P3 P4

     

9.02

     

Problem Solving

(quadratics) P3 P4

     
9.03       Summative Practice      
9.04      

Summative Preparation:

Scenarios  

   

p.189 # 1 - 15

(do full solutions, not just multiple choice)

9.05      

Summative Preparation:

Answer Questions using Algebra

     
9.06      

Summative Task Day 1

(group work)

     
9.07      

Summative Preparation:

Discuss Day 1

     
9.08
     

Summative Task Day 2

(individual evaluation)

Formula Sheet
   
10.01       Practice Exam # 1

Practice #1: Exam B June 2013

(solutions)

(class notes)

   
10.02       Practice Exam # 2

Practice #2: Exam B June 2012

(solutions)

   
10.03       Practice Exam # 3

Exam A 2012

(solutions)

   
10.04      

Final Exam:

Review & Preparation

Formula Sheet

Vocabulary Sheet

   
10.99      

Final Exam

Period 3: Wed, June 22

Period 4: Thurs, June 23

Formula Sheet

Vocabulary Sheet

   
A12      

Applications of Factored Form P3 P4

video lesson

    p. 147 # 12, 13, 14
p. 157 # 13, 14, 15

 

 

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

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