MFM2P Grade 10 Foundations of Mathematics.Applied
This course enables students to consolidate their understanding of linear relations and extend their problem-solving and algebraic skills through investigation, the effective use of technology, and hands-on activities. Students will develop and graph equations in analytic geometry; solve and apply linear systems, using real-life examples; and explore and interpret graphs of quadratic relations. Students will investigate similar triangles, the trigonometry of right triangles, and the measurement of three-dimensional figures. Students will consolidate their mathematical skills as they solve problems and communicate their thinking.
Getting Ready

Activities
Homework

Getting Ready:
Finish the worksheet




Unit 1
Imperial Measures of Length

February 8
Finish page 4 from the handout
Imperial Measures of Length: Activity
February 9
Imperial Measures of Area, Volume, Mass
Chapter 1.1
p.10 #2, 3, 4, 5
p.10 #8,9,11
p.11 #16
Imperial Units vs. Metric Units
Practice Worksheet 1
Practice Worksheet 2
Chapter 1.2
p.16 # 1 - 5
p.17 # 8 -10
Similar Triangles
Geometer's Sketchpad Activity
p.20 - 21
p.25 - 26 # 1-3
Similar Triangles # 4, 5, 6 p.26 - 27
Chapter 1.3
Finish the worksheet
Similar Triangles p.33 #4, 5, p.34 #6, 7 10
Chapter 1.4
Practice Worksheet on Similar Triangles

Quiz on Imperial and Metric Measures



p.38, 39 # 6, 7, 11
Unit 1 Review
GSP Activity
Finish the review
Unit 1 Test


Computer based activity
Chapter 2.1 Pythagorean theorem
Homework:
p.50 # 2-5
p.51 # 7
Ratios in a Right Triangle
Chapter 2.2
p.59 #1, p.60 #2 - 5
Homework:
p.61 #6, 7
Sine, Cosine, Tangent

Chapter 2.3, 2.4
p.71 # 1- 4
Finish the handout
Solving Problems Using Right Trianglesp.86 #2-4
Chapter 2.4, Chapter 2.5
Pythagorean Theorem Word Problems
Homework:
p.81 # 11, 12
Review on Pythagorean Theorem and Right Triangles
p.88 # 5 - 8
p.89 # 9 -14
Homework:
p.89 # 15- 17

p.95 # 8 -12
Homework:
p.95 # 13 - 14
Quiz on
Pythagorean theorem and Trig Ratios
Unit 2 Review

Unit 2 Practice Test
p.90 - 91 #1 -10




Unit 2 Test


Unit 3 Linear relations


Finish #1 p.106
Finding Slope of a line from a graph.
Homework:
#12-16



Chapter 3.2

Chapter 3.3

Homework:
p.115- 116
#1, 2, 4, 6
Properties of slopes of lines
p.124 # 3- 5
Parallel and Perpendicular lines
p.125, 127 #6, 7, 13
Homework: p. 125 #8
Chapter 3.4
Determine the Equation of a Line
p.133 #1, p.134 #2, 5
Finish the worksheet
Unit 3 Review
March 20
p.146-147 #1-12
Finish the worksheet
Unit 3 Quiz
p.148 Practice Test
p.149 # 7, 8
Unit 3 Test


Unit 4 Linear Equations

Chapter 4.1
Homework:
Worksheet.
Linear Equations: Strategies

Chapter 4.2p.169 #1- 3, p. 170 #4, 5
Homework:
Chapter 4.2
p. 170 #6, 8




Homework:
Finish the worksheets
How to Rearrange Formulas
Chapter 4.3
p.180, 181 # 1, 2, 3, 4, 5

Rearranging Formulae

p.188 # 3
Review on Linear Equations
p.190 # 1 - 6
p.191 #7 -11
Homework:
p.191 # 12



Unit 4 Quiz


Unit 4 Review


Chapter practice test p.192-193




Unit 4 Test





Unit 5 Systems of Linear Equations

Solving Linear Systems by Substitution

Chapter 5.2
p.209 # 1, 2, 3, p.210 #6, 8
Homework:
p.210 # 3, 5
Word Problems on Linear Systems


Chapter 5.3
Solving Linear Systems by Elimination
Worksheet: by Elimination
Practice Solving Systems
p.216, 217 # 1 - 3
Homework p.217 #4
Chapter 5.4
Solving Problems Using Linear Systems.
p.223 # 1-3
p.224 #4, 6, 7
Homework: p.224 # 5
p.225 #12
Unit 5 Review
p.226 #1 - 6

Homework:
p.227 # 7, 8
Ouiz on Linear Systems


Word Problems using Linear Systems


Unit 5 Test


Unit 6
Quadratic Relation
Chapters 6.1, 6.2
Exploring Quadratic Relations:
FD, SD, Graphs, Equations

Investigate Quadratic Relations
Graphs of Quadratics using TI-83
Homework:
p.269 # 1, 2
p.270 # 4
Properties of Quadratic Relations
Homework:
Finish the worksheet
Quadratic Relations

Homework:
p.272 # 1 - 4


Finish the Review
p.272-273 # 1- 7



Unit 6 Review
p.274 # 1-6

Unit 6 Test


Get Ready
p.278, 279 #1 - 10


Unit 7
Quadratic Expressions
Multiplying Binomials

Multiplying Binomials, Perfect Square
Multiplying Binomials
p.287 #3, 4
Factoring Using GCF
Chapter 7.2

Factoring Difference of Squares.
Chapter 7.3
p.302 # 1-4
P. 303 # 5, 6
Factoring using the Product-and-Sum Rule
Chapter 7.4
p.305, 306 # 2, 3, 5, 8
Homework:
p.311 # 10, 15
Unit Review
Factoring Practice
Homework:
Finish the worksheet
Unit Review
p.312 # 1- 7
Homework:
p.313 # 8-10
Unit 7 Test


Unit 8 Quadratic Relations. Standard and Factored Forms
Finding zeros, and vertex using standard form
Homework:
p.334 #5, 6, 8








The Quadratic Relation y = ax^2 + k
p.342 #5 - 8

Graphs of Quadratics: Real-life relations
p.352 # 1 - 5

Unit 9 Volume and Surface Area
Volume of a Prism.
Volume of a Pyramid.
Chapter 9.1
p.367 - 368 #1 - 3

Surface Area of a Prism.
Surface Area of a Pyramid.
Chapter 9.2
p.376 - 377 #1 -3
Homework:
p.378 # 4, 5
Surface Area and Volume of Cylinder
Chapter 9.3
p.386 - 387 #1 - 4
Homework
p.388 # 5, 6
Volume of Cones and Spheres
Chapter 9.4
p. 394 - 395 # 1 - 4
Homework
p.396 # 5, 6
Unit 9 Review
p.406 - 407 #1 - 10

Unit 9 Review
p.408 - 409 # 1 - 7

Unit 9 Test


Course Review: Measurement Systems and Similar Triangles
Homework:
Review on Similar Triangles
Course Review: Trigonometry of Right Triangles
Find the Missing Angle
Find the Missing Side

Course Review: Trigonometry of Right Triangles word problems

Course Review: Linear Equation. Linear Relation
p.412-413 # 6 - 12
Slope
Slope and y-intercept







Exam