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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
|
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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
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|
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
|
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Unit 0 - Introduction & Review |
MPM1D - Entire Course
|
|
p. 26 # 1ab, 2, 3ab, 5abf, 10, 18*
MPM2D Winter 2015-2016
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