Grade 10 Math Course Outline: Canterbury High School Grade 10 Academic Math (MPM2D)

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
The Term work will be worth 70% . The methods of evaluation will include tests, quizzes, and in class tasks.

The topics to be studied and evaluated in this course are:

Analytic Geometry

model and solve problems involving the intersection of two straight lines;

solve problems using analytic geometry involving properties of lines and line segments;

verify geometric properties of triangles and quadrilaterals, using analytic geometry.

Quadratic Relations of the form

determine the basic properties of quadratic relations;

relate transformations of the graph of y = x2 to the algebraic representation y = a(x – h)2 +k;

solve quadratic equations and interpret the solutions with respect to the corresponding relations;

solve problems involving quadratic relations.

Trigonometry

use their knowledge of ratio and proportion to investigate similar triangles and solve problems related to similarity;

solve problems involving right triangles, using the primary trigonometric ratios and the Pythagorean theorem;

solve problems involving acute triangles, using the sine law and the cosine law.

The Final Evaluation will be worth 30% of the course.

Required materials

All students are required to have a scientific calculator, pencils, pens, an eraser, paper, graph paper, and a ruler for each class. Borrowing from other students in class during tests, exams, and quizzes is not permitted. Please come to class prepared.

Textbook cost

The textbook for this course costs $85. A textbook will be loaned to you. If you lose or damage the textbook you will be required to pay for it.

Liam bounces a Super Ball off of the top of the roof of a 22 m high building. At 5 seconds after Liam bounces the ball, Kayla, in another building, notices that the ball has reached a maximum height of 72 m just outside her window. If the path of the ball can be modeled by a quadratic function then determine when the ball will hit the ground? Quadratics Problem 2

A scared ant notices a frog hopping towards him. The frog lands 1 cm to the left of him and hops over him. At 0.2 s the frog is 22 cm directly above him. If the frog lands 11 cm to the right of the ant and the frog’s path can be modeled by a quadratic function then determine the frog’s maximum height and when it reaches that height.

Monday, September 20, 2010

Nothing

Tuesday, September 21, 2010

Wednesday, September 22, 2010

Page 30 #'s 1 to 5

Thursday, September 23, 2010

Page 31 #'s 6 to 8,12

Friday, September 24, 2010

Catch up

Monday, September 27, 2010

Page 71 #'s 1 to 7

Tuesday, September 28, 2010

Page77 #'s 1 to 3

Wednesday, September 29, 2010

Page 78, #'s 4 to 12
Quiz Thursday

Thursday, September 30, 2010

Quiz,
Page 79 #'s 16, 19

Friday, October 01, 2010

Tyler thinks this is awsome.
Should be able to do Page 85 #'s 1,2 and Page 87 #'s 1,2.
Homework is Page 95 #'s 1 to 6.

Monday, October 04, 2010

Questions 7 to 14 from Page 95

Tuesday, October 05, 2010

Page 96 #'s 16, 24, Page 103 #'s 2,3

Wednesday, October 06, 2010

Tool Kit in-class assignment

Thursday, October 07, 2010

Page 123 #'s 1 to 4 and #'s 1 to 9

Friday, October 08, 2010

Monday, October 11, 2010

Tuesday, October 12, 2010

Page 43 #'s 3,5,6,7,11,17

Wednesday, October 13, 2010

Page 44 #'s 10, 15
Page 54 to 55 All

Thursday, October 14, 2010

Friday, October 15, 2010

Chapter 1 and 2 test.

Monday, October 18, 2010

Test cont'd

Tuesday, October 19, 2010

Read Pages 128 to 130 and try questions 1 to 12 on pages 131 and 132

Wednesday, October 20, 2010

Page 137 #'s 1 to 3
Page 142 #'s 1,2,4

Thursday, October 21, 2010

Page 137 #'s 4 to 10,
Page 141#'s 3, 5 to 9

Friday, October 22, 2010

Page 144 #'s 15 to 19

Monday, October 25, 2010

Tuesday, October 26, 2010

Page 150 #'s 1 to 3

Wednesday, October 27, 2010

Page 150 # 4

Thursday, October 28, 2010

Page 156 #'s 1 and 2

Friday, October 29, 2010

Page 156 #'s 3 to 6,
Page 163 # 1

Monday, November 01, 2010

Page 158 #12, 13
Page 163 # 2, 3

Tuesday, November 02, 2010

Page 163,164 #'s 4,5,9

Wednesday, November 03, 2010

Page 167 #1

Thursday, November 04, 2010

FOIL Quiz, Page 168 #'s 2, 3, 6, 7, 11

Friday, November 05, 2010

Page 177 #'s 15 to 25

Monday, November 08, 2010

Factoring quiz
Complete the square for Page 234 #'s 1,2,4

Tuesday, November 09, 2010

Page 234 #'s 6 to 9, and questions from the board

Wednesday, November 10, 2010

Page 282 #'s 1,4,5

Thursday, November 11, 2010

Page 282 #'s 6 to 10, 15,17, 19

Friday, November 12, 2010

Page 282 #'s 29,30,31

Monday, November 15, 2010

Tuesday, November 16, 2010

Page 292 #'s 1 to 3 (Do a and b for each question by completing the square)

Wednesday, November 17, 2010

Page 293 # 5

Thursday, November 18, 2010

Page 293 #'s 8 to 12

Friday, November 19, 2010

Page 294 13 to 18

Monday, November 22, 2010

Quiz Solving quadratic Equations

Tuesday, November 23, 2010

Graphing Quadratic Equations from tables of values.
Questions were on the board on Monday.

Wednesday, November 24, 2010

Thursday, November 25, 2010

Test (Foil, Factoring, Quadratic equations, Completing the Square, Word problems)

Course Outline:

CanterburyHigh SchoolGrade 10 Academic Math(MPM2D)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

The

. The methods of evaluation will include tests, quizzes, and in class tasks.Term work will be worth 70%The topics to be studied and evaluated in this course are:

The

of the course.Final Evaluation will be worth 30%## Required materials

from other students in class during tests, exams, and quizzesBorrowing. Please come to class prepared.is not permitted## Textbook cost

The textbook for this course costs $85. A textbook will be loaned to you. If you lose or damage the textbook you will be required to pay for it.

Teacher: Mr. Hughsone-mail(for parents only): darrin.hughson@ocdsb.cawikispace:hughsonmath.wikispaces.comYoutube channel: MathhughsonSome helpfull Websites:Algae Tiles: http://mathbits.com/MathBits/AlgebraTiles/AlgebraTiles.htmHomework:

https://homeworkhelp.ilc.org/

Old Exams and SolutionsQuadratics Problem 1Liam bounces a Super Ball off of the top of the roof of a 22 m high building. At 5 seconds after Liam bounces the ball, Kayla, in another building, notices that the ball has reached a maximum height of 72 m just outside her window. If the path of the ball can be modeled by a quadratic function then determine when the ball will hit the ground?

Quadratics Problem 2A scared ant notices a frog hopping towards him. The frog lands 1 cm to the left of him and hops over him. At 0.2 s the frog is 22 cm directly above him. If the frog lands 11 cm to the right of the ant and the frog’s path can be modeled by a quadratic function then determine the frog’s maximum height and when it reaches that height.

Quiz Thursday

Page 79 #'s 16, 19

Should be able to do Page 85 #'s 1,2 and Page 87 #'s 1,2.

Homework is Page 95 #'s 1 to 6.

Page 54 to 55 All

Page 142 #'s 1,2,4

Page 141#'s 3, 5 to 9

Page 163 # 1

Page 163 # 2, 3

Complete the square for Page 234 #'s 1,2,4

Questions were on the board on Monday.

Complete questions from Nov. 23rd

Convert handout questions to vertex form using two methods

Page 234 #'s 2 to 5

Page 252 #'s 1 to 24

Page 330 #'s 1 to 3

Page 344 #'s 1 to 3

Page 348 #'s 1 to 3

Test moved to Jan. 3rd

Page 338 #'s 6,9,12,14

Page 344 #'s 5,6,9,11

Page 348 #'s 5,7,10

Test moved to Jan. 3rd

Page 373 #'s 1 to 4

Page 374 #'s 5 to 10,13