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MPM2D Fall 2011-2012
Page history
last edited
by Steve Sweeney 11 years, 7 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
|
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|
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Unit 0 - Introduction & Review |
|
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MPM2D Fall 2011-2012
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