CanterburyHigh School Grade 9 Academic Math (MPM1D)

This course enables students to develop an understanding of mathematical concepts related to algebra, analytic geometry, and measurement and geometry through investigation, the effective use of technology, and abstract reasoning. Students will investigate relationships, which they will then generalize as equations of lines, and will determine the connections between different representations of a linear relation. They will also explore relationships that emerge from the measurement of three-dimensional figures and two-dimensional shapes. Students will reason mathematically and communicate their thinking as they solve multi-step problems.

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:

Number Sense and Algebra

demonstrate an understanding of the exponent rules of multiplication and division, and apply them to simplify expressions;

manipulate numerical and polynomial expressions, and solve first-degree equations.

Linear Relations

apply data-management techniques to investigate relationships between two variables;

demonstrate an understanding of the characteristics of a linear relation;

connect various representations of a linear relation.

Analytic Geometry

determine the relationship between the form of an equation and the shape of its graph with

respect to linearity and non-linearity;

determine, through investigation, the properties of the slope and y-intercept of a linear relation;

solve problems involving linear relations.

Measurement and Geometry

determine, through investigation, the optimal values of various measurements;

solve problems involving the measurements of two-dimensional shapes and the surface areas and volumes of three-dimensional figures;

verify, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems.

The Final Evaluation will be worth 30% of the course. This evaluation will be composed of a summative task done in class (10 %), and an exam (20 %). Both of these are required components for a credit in this 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 $70. A textbook will be loaned to you. If you lose or damage the textbook you will be required to pay for it.

Using the graph that was on the board at the end of class on Wednesday
Interpolate the stopping distance at a speed of 55 km/h and extrapolate the stopping distance at a speed of 105 km/h.

Also do questions 1 to 4, 7, 8 on pages 73 to 75

Friday, October 22, 2010

Monday, October 25, 2010

Page 83 #'s 1 to 5

Tuesday, October 26, 2010

Page 91 #'s 1 to 8

Wednesday, October 27, 2010

Thursday, October 28, 2010

Friday, October 29, 2010

Test

Monday, November 01, 2010

Page 237 #'s 4 to 8

Tuesday, November 02, 2010

Page 242 #'s 1 to 5

Wednesday, November 03, 2010

Thursday, November 04, 2010

Page 243 #'s 6 to 10,12

Friday, November 05, 2010

Page 250 #'s 1 to 7, 9 to 11

Monday, November 08, 2010

Page 259 #'s 1 to 10

Tuesday, November 09, 2010

Page 268 #'s 1 to 8

Wednesday, November 10, 2010

Page 270 #'s 13,16
Page 275 #'s 1 to 4

Thursday, November 11, 2010

Page 275 # 5
Page 281 examples 1 to 3

Friday, November 12, 2010

Page 284 #'s 1 to 12

Monday, November 15, 2010

Page 290, 291

Tuesday, November 16, 2010

Page 304 #'s 1 to 3

Wednesday, November 17, 2010

Page 304 #'s 4 to 7, 9, 10

Thursday, November 18, 2010

Page 312 #'s 1 to 5

Friday, November 19, 2010

Page 313 #'s 7,8,9,11
Page 319 #'s 1 to 3
Convert Ax +By +C = 0 to y = mx + b
Convert y = mx + b to Ax +By +C = 0

Monday, November 22, 2010

Page 320 #'s 4 to 9

Tuesday, November 23, 2010

Page352 #'s 1 to 8,
Read pages 418 to 422
Page 423 #'s 1 to 5

Wednesday, November 24, 2010

Quiz Prep.

Thursday, November 25, 2010

Tools 3 to 5 Quiz
Students were given the quiz to try and take home.
The exact same quiz will be given next tuesday. Attached below is the quiz.

Page 304, #'s 8 to 10, 14, 15
Page 312, #'s 1 to 8

Wednesday, April 14, 2010

Page 319 #'s 1 to 8

Thursday, April 15, 2010

Handout
Graph # 3 from Page 326

Friday, April 16, 2010

Page 328, #'s 1, 2, 3, 5, 6, 7,8

Monday, April 19, 2010

Page 335 #'s 1 to 4

Tuesday, April 20, 2010

Page 342 #'s 1 to 5, 8
Review (Page 335 #'s 5,6)

Wednesday, April 21, 2010

Group work on the following problem (hand out). A similar in class assignment will be given. Find the equation of the line that passes through the point of intersection of linesL1: x + 2y = 9 and L2: 4x - 2y = -4 and the point of intersection of the linesL3: 2x -5y = 14 and L4: x + 3y = -4 . Graph and label all lines on the grid provided.

Thursday, April 22, 2010

Ch 6 review
Page 352 #'s 1 to 18

Friday, April 23, 2010

Task

Monday, April 26, 2010

Read page 420 to 421 and do #'s 1 to 11 on page 423.

Grade 9 MathCourse Outline:

CanterburyHigh SchoolGrade 9 Academic Math(MPM1D)This course enables students to develop an understanding of mathematical concepts related to algebra, analytic geometry, and measurement and geometry through investigation, the effective use of technology, and abstract reasoning. Students will investigate relationships, which they will then generalize as equations of lines, and will determine the connections between different representations of a linear relation. They will also explore relationships that emerge from the measurement of three-dimensional figures and two-dimensional shapes. Students will reason mathematically and communicate their thinking as they solve multi-step problems.

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:

Number Sense and AlgebraLinear RelationsAnalytic GeometryMeasurement and GeometryThe

of the course. This evaluation will be composed of a summative task done in class (10 %), and an exam (20 %). Both of these are required components for a credit in this course.Final Evaluation will be worth 30%## Required materials

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 $70. 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: darrin.hughson@ocdsb.caWebsite:hughsonmath.wikispaces.comMPM 1D Textbook Homework

Ch 3

Ch 4

Ch 2

Ch 5

Ch 6

Ch 7

Ch 8

Ch 9

Some helpful websites:Algae Tiles: http://mathbits.com/MathBits/AlgebraTiles/AlgebraTiles.htm

Math Help Online

: http://www.edu.gov.on.ca/elearning/homework.html

EQAO Practice:

http://www.eqao.com/Students/Secondary/09/09.aspx?Lang=E&gr=09

Collecting Like Terms:

http://www.algebra-online.com/collecting-like-terms-algebraic-expressions-1.htm

http://atschool.eduweb.co.uk/rgshiwyc/Maths_HotPot/year7/CollectingLikeTerms1.htm

http://atschool.eduweb.co.uk/rgshiwyc/Maths_HotPot/year7/CollectingLikeTerms2.htm

Distributive Law:

http://www.mathsteacher.com.au/year7/ch05_algebra/09_dist/law.htm

http://www.cut-the-knot.org/Curriculum/Arithmetic/DistributiveLaw.shtml#

Solving equations:

http://www.mathsnet.net/algebra/balance.html

http://cstl.syr.edu/fipse/Algebra/Unit3/steps.htm

http://www.aaamath.com/equ725-equation1.html

http://www.mathsnet.net/algebra/l1_equation.html

Slope:

http://www.purplemath.com/modules/slope.htm

http://www.purplemath.com/modules/slopgrph.htm

http://www.analyzemath.com/Slope/Slope.html

Interactive equations of lines with graphs:

**//http://teachers.henrico.k12.va.us/math/HCPSAlgebra1/module6-3.html//**

HomeworkPage 193 #'s 1 to 5

Page 226 #'s 2,3,4,6,7,9,10

Page 230 to 233 all

Page 52 #'s 1 to 7

Interpolate the stopping distance at a speed of 55 km/h and extrapolate the stopping distance at a speed of 105 km/h.

Also do questions 1 to 4, 7, 8 on pages 73 to 75

Page 275 #'s 1 to 4

Page 281 examples 1 to 3

Page 319 #'s 1 to 3

Convert Ax +By +C = 0 to y = mx + b

Convert y = mx + b to Ax +By +C = 0

Read pages 418 to 422

Page 423 #'s 1 to 5

Students were given the quiz to try and take home.

The exact same quiz will be given next tuesday. Attached below is the quiz.

Page 342 #'s 5,6

Do Page 348 #'s 1, 2, 7, 9

Page 381 # 1

Page 432 #'s 1 to 4

Page 441 #'s 1 to 5, 9, 11

Quiz Friday

Read through Chapter 2

Diagnostic test 2

Page 127 #'s 1 to 8

Page 166 #'s 4,5,6,7cdf,8cdef,9,13,15,16

Page 157 #'s 1 to 6

Page 200 #'s 1 to 10, 17

Page 250 #'s 1 to 5

Page 304, #'s 1 to 7

Page 312, #'s 1 to 8

Graph # 3 from Page 326

Review (Page 335 #'s 5,6)

Find the equation of the line that passes through the point of intersection of linesL1: x + 2y = 9 and L2: 4x - 2y = -4 and the point of intersection of the linesL3: 2x -5y = 14 and L4: x + 3y = -4 . Graph and label all lines on the grid provided.

Page 352 #'s 1 to 18

Page 381 #'s 1 to 8 ,13, 15

Page 405 #'s 1 to 5

Page 441 #'s 1 to 5

Page 447 #'s 1 to 4

Page 455 #'s 5 to 9, 11, 12

Page 465 #'s 1,4,5,7,14,15

Graphing Calculators

OLD

Study for the Ch. 3 & 4 Test on Monday, October 19, 2009.

Study for the Ch. 3 & 4 Test on Monday, October 19, 2009.

Page 248 & 249, Examples 1 & 2

Page 250. #'s 1, 2, 3, 5

Page 259. #'s 1 to 6.

Page 268. #'s 1 to 5

Blue algebra handout and Page 288

Read and copy out examples 1 to 3 from pages 280 to 283.

Do questions 1 to 8 on Page 285.

Page 304. #'s 1 to 9, 15

Read Page 326 to 327

Page 343. # 1 (a) and (b)

Page 348. #'s 1,2,7,9,13

Page 405 #'s 1 to 10

Page 447 #'s 1, 2

Page 454 #'s 1,2,4,7,8,12

Page 465 #'s 1 to 4, 7 to 9

Page 476 #'s 1 to 6