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MPM2D Winter 2015-2016

Page history last edited by Steve Sweeney 7 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 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.

 

Date Topic / Lesson
Extra Resources Assigned Work

J22

J23

Final Exam

Period 3: Wed, June 22

Period 4: Thurs, June 23

Formula Sheet

Vocabulary Sheet

 

J17

J16

Final Exam:

Review & Preparation

Formula Sheet

Vocabulary Sheet

 

J17

J16

Practice Exam # 3

Exam A 2012

(solutions)

 

J15

J14

Practice Exam # 2

Practice #2: Exam B June 2012

(solutions)

 

J13

J10

Practice Exam # 1

Practice #1: Exam B June 2013

(solutions)

(class notes)

 
J09

Summative Task Day 2

(individual evaluation)

Formula Sheet
 
J08

Summative Preparation:

Discuss Day 1

   
J07

Summative Task Day 1

(group work)

   
J06

Summative Preparation:

Answer Questions using Algebra

   
J03

Summative Preparation:

Scenarios  

 

p.189 # 1 - 15

(do full solutions, not just multiple choice)

J02 Retest: Quadratics 1 & 2   (re)submit fully completed reviews for part 1 & 2
M30

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

M27
Test: Similar Triangles & Trigonometry    
M25
Review: Similar Triangles & Trigonometry   p.416 #2, 3, 5, 6, 9, 13, 14, 16
p.453 #2, 3, 7, 8, 11, 12
M24

Applications of Trigonometry P3 P4

video lesson

  p.450 # 4 (see Ex.2), 9 (see Ex.1)
p.450 # 5, 8, 11, 13, 15
M20

Choosing Sine vs Cosine Law P3 P4

video lesson

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

M19

M18

Practice Test: Similar Triangles & Trigonometry

solutions

WS: Right Angle Trigonometry

WS: Sine & Cosine Law

 
M17

The Cosine Law P3 P4

video lesson

  p.438 # 2, 3b
p.443 # 2, 3, 4, 5ac
M16

The Sine Law P3 P4

video lesson

  p.427 # 2ac
p.432 # 2, 3ace, 5ac, 6, 14, 15
M13

Right Triangle Word Problems P3 P4

video lesson

  p.412 # 2, 3, 7, 10, 11
M12

Solving Right Triangles P3 P4

video lesson

  p.403 #1a, 2a, 3, 5a, 6a, 7a, 8a, 10, 12, 13ab
M11

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
M10

Applications of Similar Triangles P3 P4

video lesson

  p.386 # 4, 6, 9, 12, 14*
M09

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
  Unit 5: Trigonometry ESPA # 5 - Trigonometry - 10 versions
 

M06

M05

Summative Practice    

M04

Problem Solving

(quadratics) P3 P4

   
M03

Communication & Reflection

(on provided sample) P3 P4

   
   Summative Preparation 1
   
M02
Test: Quadratics Part 2
   

A29

A26

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

A28

More Word Problems P3 P4

video lesson

  p. 357 #2, 3, 5, 7, 9, 14
A27

Predicting Number of Solutions:

Vertex Form & Discriminant P3 P4

video lesson

  p.350 # 2, 3, 4, 5, 7, 9, 10, 12
A25

Solving Equations:

Vertex Form & Quadratic Formula P3 P4

video lesson

  p.343 # 1ad, 3, 4bdf, 5ace, 8bdf, 9ad,
10cd, 14, 19*
A22

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
A21

Solving Quadratic Equations P3 P4

video lesson

Video Tutorial - Solving Quadratic Equations p.320 # 4ac, 6ace, 7ace, 11
A20

Word Problems in Standard, Factored, and Vertex Form

(work period) P3 P4

  p.294 # 11, 13, 16, 20*
p.302 # 9, 12, 13, 16*
A19

Relating Three Forms of Quadratic Equations P3 P4

video lesson

  p.293 # 4c, 5ac, 6ac, 9ac, 10ac
p.301 # 4, 5acef, 7ace
A18

Modelling Using Quadratic Equations P3 P4

video lesson

  p. 280 # 1, 2ace, 3ace, 4, 5ace, 6cd,
7, 8 (draw diagram), 10, 15
A15

Vertex Form & Graphing Transformations P3 P4

video lesson

p.269 # 1 - 3 (basics)
# 4ace, 5ace, 6, 7ace
# 10, 11, 13, 14, 15
A14

Translate Quadratics & Parabolas P3 P4

video lesson

 

p. 262 # 1 - 5
A13

Stretch & Reflect Quadratics & Parabolas P3 P4

video lesson

 
p. 256 # 1, 2, 4 ,5 ,8
A12

Applications of Factored Form P3 P4

video lesson

  p. 147 # 12, 13, 14
p. 157 # 13, 14, 15
  Unit 4: Quadratics Part 2
ESPA - Quadratics Part 2 - Practice Quizzes x10  
 
A11 Test: Quadratic Relations I    

A08

A07

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
A06

Factoring Strategies P3 P4

video lesson

WS: Factoring All Types
p.236 # 1, (6-8)ace, 9, 10, 12, 14ac, 17*
A05

Factoring Special Patterns P3 P4

video lesson

WS: Special Pattern Trinomials

(includes common factors)

p.230 # 3bc, 5, 6, 7, 10, 11, 14
A04

Factoring Complex Trinomials P3 P4

video lesson

WS: Complex Trinomials

(includes common factors)

p.223 # 3bc, 4bc, 5abc, 6, 7abc, 11, 15, 17
A01

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


M31
Literacy Test

Login to Desire2Learn

Look for "OSSLT"

Practice tests, auto graded

 
M30

Common Factors P3 P4

Video Lesson

WS: Common Factors

WS: Factor by Grouping

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

M29

M24

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)
M23

Factored Form P3 P4

Video Lesson

  p.155 # 2, 3, 4ace, 5, 6ace, 7, 10
M22

Key Properties of Parabolas P3 P4

Video Lesson

Handout: Key Properties

VT: Properties of Graph of Quadratic Relation

p.145 # 1­-6, 7ef, 9ab
M21

Graphing & First/Second Differences P3 P4

Video Lesson

VT: Graphing Using ToV, 1st Differences

MPM1D: First Differences

p.137 # 1, 2, 3, 4, 5ab, 6, 7
  Unit 3: Parabolas & Factored Form
All Lessons
 
 

Assignment:

Due Wed, March 23

   
M11
Test: Analytic Geometry  
 

M10

M09

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

M08
Applications of Triangle Centres  

p.120 # 6, 8, 9, 10

+ problem from class (see notes)

M07
Triangle Centres P3 P4
 

p.120 # 6, 8, 9, 10

+ problem from class (see notes)

M04

Special Lines in Triangles P3 P4

Video Lesson

Handout: Step by Step Instructions

ESPA#2: Analytic Geometry

p.79 #12, 13c, 14

p.102 #4

p.110 #13b

M03

Classifying Geometric Shapes P3 P4

Video Lesson

Handout: Geometry Diagrams

Worksheet: Slope & Distance

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

M02

Circle in Standard Position P3 P4

Video Lesson

  p.91 # 1, 2, 3a, 4, 5, 6, 8, 11, 14
M01

Length of a Line Segment P3 P4

Video Lesson

  p.86 # 1ac, 4cd, 6, 7(draw), 12ab
F29

Midpoint of a Line Segment P3 P4

Video Lesson

  p.78 #  2ac, 3b, 4e, 5, 6, 8, 9, 11
  Unit 2: Analytic Geometry
All Lessons
 
F26 Test: Linear Systems    

F25

F24

Review - Linear Systems  

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

handout with word problems (and answers)

 

Geometry-Money

Word Problems P3 P4

Video Lesson

  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?
 

Mixture-Percent

Word Problems P3 P4

Video Lesson

  p. 27 # 7   p. 39 # 11   p. 55 # 10, 12
F19

Distance-Speed-Time P3 P4

Word Problems

Video Lesson

  p.27 # 8    p.55 # 13    p.64 # 7
F18

Modelling with Linear Equations P3 P4

Video Lesson

 

Model Equations ONLY!

(do not solve)

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

F17

Distinct & Coincident Lines P3 P4

Video Lesson

  p. 59 # 1, 2a, 3abcfh, 4, 6*
F16

Review: Graph, Sub, Eliminate

Quiz

   

Thur

F11

Solving by Elimination P3 P4

Video Lesson

  p.54 # 1, 4, 6odd, 11odd, 20*

Wed

F10

Solving by Substitution P3 P4

Video Lesson

 
p.39-40 # 3, 4bf, 5be, 9bcef

Tues

F09

Quest - Review & Introductory Material

Verifying Solutions P3 P4

Video Lesson

 

p.26 # 1ab,

Verify 2, 3ab, 5abf

Mon

F08

Solving Graphically P3 P4

Video Lesson

  p.26 # 2, 3ab, 5abf, 10, 18*
  Unit 1 - Linear Systems    
F05

Review - Slope & Equation of a Line P3 P4

Video Lesson

Join the MPM2D Edmodo group

MPM1D: Parallel and Perpendicular Lines

MPM1D: Equations from Two Points

worksheet

F04

Review - Linear Relations P3 P4

Video Lesson - Graphing Linear Relations

MPM1D: Graphing Lines Using Intercepts

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

p.6 # 10

p.12 # 1, 4

F03

Review - Simplifying & Solving P3 P4

Video Lesson - Simplifying & Solving

MPM1D: Distributive Property

MPM1D: Solving Simple Equations

MPM1D: Solving Multi-Step Equations

Worksheet (to be handed in)

Extra:

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

F02

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

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

F02

Welcome to MPM2D

 

   
  Unit 0 - Introduction & Review MPM1D - Entire Course
 

 

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

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