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MPM2D W2011

Page history last edited by Steve Sweeney 12 years, 9 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

June21

@9am

Final Exam    
J20 Review for Exam  Questions Taken Up In Class  
J16 Summative Assignment    
J15 Thinking Task - Analytic Geometry & Linear Systems    

J13

J10

Review - Analytic Geometry & Linear Systems

Khan Academy Video Resources for Analytic Geometry

Solving Linear Systems by Graphing

Solving Linear Systems by Substitution

Solving Linear Systems by Elimination

Solving Linear Systems by Elimination (multiplying both equations first)

Linear Systems with NO SOLUTION or INFINITE SOLUTIONS

Medians & Centroids of Triangles (only first third of video applies to MPM2D)

 
J10 Thinking Task - Trigonometry    
J09 Review - Analytic Geometry & Linear Systems    
J08 Review - Trigonometry

Khan Academy Video Resources for Trigonometry

Similar Triangles Part 1

Similar Triangles Part 2

Basic Trigonometry Part 1

Basic Trigonometry Part 2 (some Gr.11 material)

Some Worked Trig Problems from California Standardized Exam

More Worked Trig Problems from California Standardized Exam

p. 456 #1 - 19
J07 Interactive Grading of Trig Test    
J06 Thinking Task - Quadratics    

J02

M30

Review - Quadratic Relations by Expectation   p.190 # 16 - 22 (do first ~8 questions for tomorrow)
p.365 - 366 # 1 - 25
M27
Practice Task - Trigonometry
   
M26 Test - Trigonometry    
M25 Review - Trigonometry   p. 416 #2, 3, 5, 6, 9, 13, 14, 16
p. 453 #2, 3, 7, 8, 11, 12
M24 Applications of Trigonometry   p.450 # 4, 5, 6, 7, 11
M20 Choosing Between Sine & Cosine Law    
M19 The Cosine Law   p. 438 - 439 #1, 2ac, 3
p. 443 - 445 #2, 5ac, 6, 15
M18 The Sine Law   p. 427 #1a, 2ac, 3
p. 432 - 434 #2, 3c, 6, 14, 15
M17 Applications of Right Triangles   p.412-414 # 2, 3, 7, 10, 11
M16 Solving Right-Angled Triangles   p.403-406 #1a, 2a, 3, 5a, 6a, 7a, 8a, 10, 12, 13ab
M13 Assignment - Similar Triangles & Trigonometric Ratios    
M12 Trigonometric Ratios   p.398 # 2, 3, 6, 7, 8abc, 9, 10a, 11a, 13
M11 Activity - Ratios of Right Triangles
   
M10 Applications of Similar Triangles  

Read p.382-385

Answer p.386 # 2, 5, 7, 9, 11, 12

M09 Congruent & Similar Triangles    
M06 students grade own tests on Quadratics    
M05
Practice Thinking Task - Quadratics
   
M04 Test - Quadratic Relations    

M03

M02

Review   Pg. 241 #19abe
Pg.185 #1b, 3b, 5, 9, 11ad, 12, 16
Pg. 304 #1a, 3, 5, 12, 15ac,
Pg. 361 #5, 7, 9, 11ae, 17

A29

A28

Determining & Solving Equations from Word Problems  

complete Ex.5 from class

p. 158 #14, 15
p. 344 #15, 16
p. 359 #12

A27 Word Problems Given Equations   p. 356 #2, 3, 6, 8
A26 Mid-Unit Review  

p. 160#1, 2a, 3, 4, 7, 9

p. 274 #5, 7
p. 335 #7

A21 Determining Roots from Standard Form using Discriminant   p. 350-351 # 2, 3, 4, 5, 9, 10
A20 Determining Roots from Factored or Vertex Form    
A19 Modelling Quadratic Relations from Graphs and Other Data   p.280-284 # 2abc, 3ce, 4abe, 5bdf, 6cd
A18 Finding Vertex Form by Completing the Square Video Tutorial - Solving by Completing the Square

PST practice: p.230 #3bef, 4ad, 6

p. 331 # 1, 2, 3, 4, 5abcf, 7ade,

A15

Quadratic Relations in Vertex Form Khan Academy - Completing the Square
p.301 # 1, 5, 7

A14

A13

Translations of Quadratic Relations   p. 269-271 # 1, 3, 4 ,6 ,7 ,8, 11
A12
Stretching & Reflecting Quadratic Relations
Interactive Translations Applet
p. 256-258 # 1, 3, 4 ,5 ,7 ,8
A11 Characteristics of Quadratic Relations

Handout - Characteristic of Quadratic Relations

Khan Academy - Graphing a Quadratic Relation

Khan Academy - Properties of the Graph of a Quadratic Relation

p. 145 # 1-6, 7ef, 9ab
A08
Introduction to Quadratic Relations
Handout - Introduction to Quadratic Relations
p. 137 # 1, 2, 3, 4, 5ab, 6, 7
  Unit 4 - Quadratics, Part II    
A07 Test - Quadratics, Part I    
A05 Review - Quadratics, Part I

Factoring Practice

(2 sheets, version A, B,

with solutions)

p.186 # 14, 15
p.240 # 2, 6, 10, 13, 14, 16, 17, 18*
p.361 # 1, 3, 8
A04 Special Cases of Quadratic Equations   p. 343 # 3, 4, 5cd
A01 Solving Quadratic Equations in Standard Form Khan Academy - Using the Quadratic Relation
p. 320 # 4ac, 8ace, 9abcd
p. 343 # 1ad, 5af, 8ce
M31 Solving Quadratic Equations in Factored Form Khan Academy - Solving Quadratics by Factoring p. 155-157 # 1i (for each of abc),
                #4abe (find zeros only),
                  #17
M30 Factoring Special Patterns Khan Academy - Solving Complex Trinomials by Factoring
p. 230-231 # 3bc, 4bc, 5, 6, 7, 10, 11, 14
M29 Factoring Complex Trinomials Algebraically
 
M28 Factoring Complex Trinomials using Tiles   p.222 # 1, 2, 5ae, 6d (common factor first)
M25 Common Factors   p.202-203 # 3bd, 5bc, 6def, 7, 8, 9, 10
M24 Factoring Simple Trinomials  Khan Academy - Solving Simple Quadratics by Factoring 
p.211-213  #1, 2b, 3bc, 4, 7, 8,
   #9(look for common factors first), #12
M23 Expanding Special Patterns   p. 166 # 6, 7, 9ef, 10ef
M22 Expanding Using Area Model & Algebraically   p.166-167 # 3-5(odd)  # 8-10(odd)
M21 Expanding Using Alge-Tiles     
  Unit 3 - Expanding & Factoring    
M11 Test - Unit 2 - Analytic Geometry    
M10      
M09 Review
  p124-125 #1, 2, 3, 6, 7, 8, 9, 10, 11, 13,
            15, 16, 18, 20a, 21, 22, 23

M08

M07

Applications of Triangle Centres

Triangle Centres

  p.120-121 # 6, 8, 9, 10 + problem from class (see notes)
M04 Special Lines in Triangles

Handout#1: Geometry Diagrams

Handout#2: Step by Step Instructions

p.79 #12    p.80 #13c,14    p.102 #4    p.110 #13b

M03

     
M02 Classifying Geometric Figures   p.101-103 # 2, 5, 6b, 7, 8
M01 Equation of a Circle in Standard Position   p.91-92 # 1, 2, 3a, 4, 5, 6, 8
F28 Distance Between Two Points   p.86-87 # 1ac, 4cd, 6, 7(draw), 12ab
F25 Midpoint of a Line Segment    
F24 Review - Equations of Lines using Points   p.68-69 # 3, 4, 5abc, 6
  Unit 2 - Analytic Geometry    
F23 Test - Linear Systems    
F22 Review - Linear Systems   p. 62 #5a, 6, 7bc, 9, 12acd, 13, 14, 16, 17, 18
F17 Applications of Linear Systems - Geometry & Money   p. 40 #17    p. 55 #9
F16 Applications of Linear Systems - Mixture Problems   p.27 # 7    p.39 # 11    p.55 # 10, 12
F15 Applications of Linear Systems - dvt Problems   p.27 # 8    p.55 # 13    p.64 # 7
F14 Modelling Linear Systems   write a system of equations for each of  the following, but DO NOT SOLVE:  
p.27 # 8, 12, 13
p.39 #10, 11, 14, 15
p.55 # 8, 9
F11 Distinct and Coincident Lines   p. 59 # 1, 2a, 3abcfh, 4, 6*
F10 Solving by Elimination   p.54 # 1, 4, 6odd, 11odd

F09

F08

Solving by Substitution   p.39-40 # 3, 4bf, 5be, 6, 8, 9bcef
F07 Solving by Graphing
  p.26 # 1ab, 2a, 3ab, 4, 5abf, 6
  Unit 1 - Linear Systems Khan Academy - Solving Systems of Linear Equations
 
F04 Review - Linear Relationships & Straight Lines (continued)   p.4 - 6   # 2 - 4, 5ace, 7abc, 11acf
Extra practice:
A-6: p.468 # 1bd, 2abc, 3abcd, 4
A-7: p.470 # 1abc, 2ab, 3d, 4bc, 5bc, 6
F03 Review - Linear Relationships & Straight Lines  
F02 Review - Simplifying Expressions & Solving Equations   A-8: p.471 # 1abf, 2bc, 3, 4ac, 5cd, 6bc
A-9: p.472 # 1def, 3
F01

Welcome to MPM2D

Review - Integers & Rational Numbers

   

 

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