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MPM2D Fall 2011-2012

Page history last edited by Steve Sweeney 7 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 60% 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.



Date Topic / Lesson
Extra Resources Assigned Work

Wed

J25

Board-Wide Final Exam    

J24

J23

J20

J19

 

ESPA # 1 - Linear Systems - 10 versions

ESPA # 2 - Coordinate Geometry - 10 versions

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

ESPA # 4 - Quadratics 2 - Vertex Form - 10 versions

ESPA # 5 - Trigonometry

 

Tues

J18

Board-Wide Summative Task    

J17

J16

J13

Lead-up Task

Rubric Discussion

   

J12

J11

Exam Review - Quadratic Relations

P1  P2

  p.190 # 16-22
p.365 # 1-25

J10

J09

Exam Review - Analytic GeometryP1  P2

Returned Test - Trigonometry

  p.189 # 1-10, 12-14
(solve fully, not just as multiple choice)
D22 Test - Similar Triangles & Trigonometry    

D21

D20

Review - Similar Triangles & Trigonometry

Returned Test - Quadratics 2

  p.416 #2, 3, 5, 6, 9, 13, 14, 16
p.453 #2, 3, 7, 8, 11, 12
D19 Trig Applications  P1  P2   p.450 # 4 (see Ex.2), 9 (see Ex.1)
p.450 # 5, 8, 11, 13, 15
D16 Sine or Cosine Law  P1  P2   p. 449 #1, 2, 3
Worksheet
D15 The Cosine Law  P1  P2   p.438 # 2, 3b
p.443 # 2, 3, 4, 5ac
D14
The Sine Law  P1  P2
  p.427 # 2ac
p.432 # 2, 3ace, 5ac, 6, 14, 15
D13 Solving Word Problems with Right Triangles  P1  P2   p.412 # 2, 3, 7, 10, 11
D12
Solving Right Triangles  P1  P2
  p.403 #1a, 2a, 3, 5a, 6a, 7a, 8a, 10, 12, 13ab
D09 Primary Trigonometric Ratios  P1  P2

Video Tutorial - Basic Trigonometry Part 1

Worksheet - Label Sides & Select Ratio & Solve

p.398 # 2, 3, 6, 7, 8abc, 9, 10a, 11a, 13
D08
Similar Triangle Problems  P1  P2
  p.386 # 4, 6, 9, 12, 14*
D07
Congruent & Similar Triangles  P1  P2

Video Tutorial - Similar Triangles Part 1

Video Tutorial - Similar Triangles Part 2


p.378 # 1, 2, 4ac, 5, 6, 7ab, 8cd, 13
  Unit 5 - Trigonometry    
D06 Test Part II - Applications of Quadratics    
D05 Test Part I - Fundamentals of Quadratics    
D02

Review - Applications of Quadratics

Returned Test - Quadratics 1

   
D01 Review - Fundamental Skills    
N30 Solving Problems with Quadratic Models  P1  P2
ESPA - Quadratics Part 2 - Practice Quizzes x10
p. 357 #2, 3, 5, 7, 9, 14
N29 Predicting Roots from Vertex Form  P1  P2 WS - Predicting Roots from Vertex Form p.350 # 2, 3, 4, 5, 7, 9, 10, 12
N28

Solving Using Vertex Form &

The Quadratic Formula  P1  P2

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

N25

N24

Standard Form to Vertex Form:

Completing the Square  P1  P2

Video Tutorial - Solving by Completing the Square
p.331 # 2, 3, 4, 5ace, 7bde, 9, 11, 16
N23 Solving Quadratic Equations  P1  P2 Video Tutorial - Solving Quadratic Equations
p.320 # 4ac, 6ace, 7ace, 9ace, 11, 14
N22

Word Problems in Standard, Factored, and Vertex Form

P1  P2

  p.294 # 11, 13, 16, 20*
p.302 # 9, 12, 13, 16*
N21

Relating Three Forms of Quadratic Equations &

Partial Factoring  P1  P2

  p.293 # 4c, 5ac, 6ac, 9ac, 10ac
p.301 # 4, 5acef, 7ace
N18 Thinking Task - Quadratics    
N17 Warm Up Thinking Task - Quadratics  

- continue to develop solution to thinking task

- use your work from class on the actual task tomorrow

N15 Modelling Quadratics in Vertex Form  P1  P2  

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

N14
Graphing Transformations from Vertex Form  P1  P2
Video Tutorial - Graphing a Quadratic Relation p.269 # 1 - 3 (basics)
# 4ace, 5ace, 6, 7ace
# 10, 11, 13, 14, 15
N11 Transformations - Vertical & Horizontal Translations  P1  P2 Interactive Translations Applet
p. 262 # 1 - 5
N10
Transformations - Vertical Stretches & Reflections  P1  P2
Interactive Translations Applet
p. 256 # 1, 2, 4 ,5 ,8
  Unit 4 - Quadratic Relations Part 2 ESPA - Quadratics Part 2 - Practice Quizzes x10 
 
N09 Test - Quadratic Relations - Part 1    
N08

Review - Quadratic Relations  P1  P2

Make-up Assignment Due - Coordinate Geometry

Check out the various rules for factoring & expanding:

Math For Artists - A Visual Representation

p.184 # 1, 3, 5, 8, 9, 10, 11ace, 12, 14ace, 15ac, 16
p.240 # 2, 6, 7, 9, 10, 11, 13ace, 16ace, 17ace, 19ace

N07 Computer Lab - Geogebra
Geogebra WebStart
 
N04 Applications of Factored Form  P1  P2   p. 147 # 12, 13, 14
p. 157 # 13, 14, 15

N03

N02

Modelling Quadratics in Factored Form  P1  P2
  p.175 # 1, 2, 4, 6, 9, 11, 15*
N01 Factoring Strategies  P1  P2 Worksheet - Factoring Strategies w/ Answers
p.236 # 1, (6-8)ace, 9, 10, 12, 14ac, 17*
O31 Factoring Special Patterns  P1  P2
  p.230 #3bc, 5, 6, 7, 10, 11, 14
O28 Factoring Complex Trinomials  P1  P2 Video Tutorial - Solving Complex Trinomials by Factoring
p.223 #3bc, 4bc, 5abc, 6, 7abc, 11, 15, 17
O27 Factoring Simple Trinomials  P1  P2 Video Tutorial - Solving Simple Quadratics by Factoring

p.211 # 2, 4

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

O26 Common Factors  P1  P2   p.202 # 1, 3bd, 5bc, 6def, 7, 8, 9, 10
O25

Expanding Binomials  P1  P2

Returned Test - Coordinate Geometry

  p.166 # 3-5 (odd), 8-10(odd)
O20 Quadratics in Factored Form  P1  P2   p.155-157 # 2, 3, 4ace, 5, 6ace, 7, 10
O19 Key Properties of Quadratic Relations  P1  P2 Video Tutorial - Properties of the Graph of a Quadratic Relation
p.145 # 1­6, 7ef, 9ab
O18 Intro to Quadratic Relations  P1  P2  Video Tutorial - Graphing Using a Table of Values - First Differences
p. 137 # 1, 2, 3, 4, 5ab, 6, 7
  Unit 3 - Quadratic Relations Part 1
   
    Communication Guidelines for Math
 
O14 Test - Coordinate Geometry    
O13 Review

Video Tutorial - Medians & Centroids of Triangles

(only first third of video applies to MPM2D)

p124-125 #1, 2, 3, 6, 7, 8, 9, 10, 11, 13,
            15, 16, 18, 20a, 21, 22, 23

O12

O11

Triangle Centres  P1  P2

Centroid, Orthocentre, Circumcentre

Returned Test - Linear Systems

  p.120-121 # 6, 8, 9, 10
Triangle ABC has vertices A(3, 4), B(-5, 2) and C(1, -4).
    Find the coordinates of the:
        a) circumcentre. Answer: (-2/5, 3/5)
        b) orthocentre. Answer: (-1/5, 4/5)
        c) centre of mass (centroid). Answer: (-1/3, 2/3)

O07

O06

Special Lines in Triangles  P1  P2   p.79 #12   p.80 #13   p.102 #4   p.110 #13
O05 Classifying Geometric Shapes  P1  P2   p.101-103 # 2, 5, 6b, 7, 8, 11, 12, 16d
O04 Equation of a Circle in Standard Position  P1  P2   p.91-92 # 1, 2, 3a, 4, 5, 6, 8
O03 Length of a Line Segment - Distance Formula  P1  P2   p.86 # 1ac, 4cd, 6, 7(draw), 12ab, 15
S30 Midpoint of a Line Segment  P1  P2   p.78-80 #  2ac, 3, 4e, 5, 6, 8, 9, 11
S29
Review Gr.9 Material - Slope & Equation of a Line  P1  P2
  p.68-70 # 3, 4, 5abc, 6
  Unit 2 - Coordinate Geometry    
S28 Test - Linear Systems    
S27 Review - Linear Systems  

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

handout with dvt problems

S26      
S23 Word Problems - Money & Geometry Problems
  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?
S22

Word Problems - Mixture Problems

Returned Test - Review & Introductory Material

  p. 27 # 7   p. 39 # 11   p. 55 # 10, 12
S21 Word Problems - dvt Problems   p.27 # 8    p.55 # 13    p.64 # 7
S20 Modelling Systems of Linear Equations   p.27 # 8, 12, 13
p.39 #10, 11, 14, 15
p.55 # 8, 9
S19 Distinct and Coincident Lines Video Tutorial - Linear Systems with NO SOLUTION or INFINITE SOLUTIONS
p. 59 # 1, 2a, 3abcfh, 4, 6*
S16
Solving Linear Systems by Elimination

Video Tutorial - Solving Linear Systems by Elimination

Video Tutorial - Solving Linear Systems by Elimination (multiplying both equations first)

p.54 # 1, 4, 6odd, 11odd, 20*
S15
Solving Linear Systems by Substitution
Video Tutorial - Solving Linear Systems by Substitution
p.39-40 # 3, 4bf, 5be, 6, 8, 9bcef
S14
Solving Linear Systems Graphically
Video Tutorial - Solving Linear Systems by Graphing
p.26 # 1ab, 2, 3ab, 5abf, 10, 18*
  Unit 1 - Linear Systems    
S13 Test - Review & Introductory Material    

S12

S09

Review - Linear Relations  

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

p.6 # 10

p.12 # 1, 4

S08 Review - Simplifying & Solving   A-8: p.471 # 1abf, 2bc, 3, 4ac, 5cd, 6bc
A-9: p.472 # 1def, 3
S07 Review - Integers & Rational Numbers   A-1: p.461 # 1, 3, 4, 5
A-2: p.462 # 1, 2
A-3: p.463 # 1 - 5
S06

Welcome to MPM2D

 

   
  Unit 0 - Introduction & Review    

 

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