MDM1DW
Home Up Pre AP Math MDM1DW AP Calculus SPH4U MDM4UI AP Physics I AP Physics II Astronomy SPH3UI

 

Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7
EQAO
Marks                   

MPM1DW                       Course Outline                            Sept 2015

 

[click logo to see curriculum guide]  

Curriculum:             The Ontario Curriculum Grades 9 and 10: Mathematics (2005)

Text:                        Mathematics 10 Addison-Wesley (Kelly et al))

Description:

This course enables students to develop generalizations of mathematical ideas and methods through the exploration of applications, the effective use of technology, and abstract reasoning. Students will investigate relationships to develop equations of straight lines in analytic geometry, explore relationships between volume and surface area of objects in measurement, and apply extended algebraic skills in problem solving. Students will engage in abstract extensions of core learning that will deepen their mathematical knowledge and enrich their understanding.

This course will is also a Pre-AP Course, and will continuously include enrichment materials that will challenge the student. The student will be assessed on this material, but not evaluated.

 

Evaluation:            70% is based on tests, quizzes, January Exams, assignments

                                  30% is based on the Summative Exam.

Topics:

    

Unit 1: Rational and Exponents  (14 Periods)

Unit

 

Title

Homework

0.

 9:1

Introduction

 

1.

9: 1.1

10: 1.4

Rational Numbers I

9: Page 190:  3adil, 5acf

10: Page 17: 12, 13ace

2.

9: 1.2

Rational Numbers II

9: Page 190: 6aei, 10, 14

3.

9: 1.4

10: 1.4

Fractions and Decimals

New 9: Page 45:  2, 11

10: Page 16: 6afgn

4.

9: 1.3

10: 1.5

Radicals and Powers

10: Page 19: 1, 2abf, 3af, 4ab, 6, 8adi, 11ace

5.

9: 6.1, 6.2

10: 13.4

Drawing and Interpreting Scatter Plots

9: Page 63: 3,3, 8

10: Page 449: 1a, 2, 4

6.

9: 3.9

10: 2.2

Models of Growth

9: Page 217: 1ad, 2bf, 3agh, 4, 5agmpqt, 13abc

10: Page 55: 14, 15

7.

9: 3.10

Exponential Decay

9: Page 223: 1, 2ab, 3agh, 4, 6 7, 9, 13

8.

9: 2.2

10: 2.3

Exponent Laws

9: Page 229:  1abc, 2abc, 3abc, 4adgjmp

10: Page 58: 11

9.

9: 2.2

10: 2.3

Exponent Laws II

9: Page 229: 5adg, 10a, 11, 14abh

Work sheet

10: Page 58: 11

10.

10: 2.5

Fractional Exponents

10: Page 66: 1adh, 3ae, 7aeh, 8ae, 10acf

11.

  10: 2.4

Scientific Notation

Worksheets (Long Hair – Purple Feet)

10: Page 61: 1, 3, 4, 5, 9

12.

10: 1.7

The Pythagorean Theorem

10: Page 27: 1,2, 5, 11,13

13.

 

Review

Practice Sheets

14.

 

Test

 

   

Unit 2: Algebra                            (10 Periods)

Unit

 

Title

Homework

0.

 

Introduction to Algebra

WorkSheet 1

 

1.

10:  3.3

Adding and Subtracting Polynomials

10: Page 80: 2df, 3, 4de, 7cd

2.

10: 3.5

Multiplying Polynomials

10: Page 88, 5agh, 7af, 10af, 11ac, 14f, 16b

3.

10: 3.2

Dividing Monomials

WorkSheet

10: Page 77: 5, 7, 8, 12, 16

4.

10: 3.6

Common Factors

10: Page 94: 1ace, 2abc, 4, 5adf, 8ace, 9ace, 10aef,
 11, 12, 14

5.

10: 3.7

Factoring Trinomials

10: Page 99: 1, 3, 4akl, 6ad, 7ad, 10ad, 11ad, 12ad, 13ace, 14a

6.

10: 3.8

Factoring ax2+bx+c

10: Page 102: 4, 6ad, 7af, 8af, 9af, 10af, 12af, 14adf, 15adf

7.

10: 3.9

Factoring a Difference of Squares.

10: Page 105: 1, 2aei, 3aemp, 4adg, 9, 10

8.

 

Review

 

9.

 

Test

 

 

Unit 3: Linear Relations                              (9 Periods)

Unit

 

Title

Homework

1.

Solving Linear Relations 

 

2.

10:  5.1

Solving Relations (1)

10: Page 142: 3ace, 8adf, 9ace, 10aci, 11ad, 12adg

3.

10: 5.2

Solving Relations (2)

10: Page 144:  1ab, 2ad, 7ad, 9ad, 10f, 11f

4.

10: 13.4

Drawing and Interpreting Scatter Plots

10: Page 449: 1a, 2, 4

5.

 

The Line of Best Fit and correlation value.

 

6.

 

Finding and Drawing the Mean Fit line

 

7.

 

How to Create charts in Excel

 

8.

 

Review

 

9.

 

Test

 

 

Unit 4: The Equation of the Straight Line (11 Periods)

Unit

 

Title

Homework

1.

10: 6.1

Length of Line Segment

10: Page 192: 1, 2, 6, 9a, 13

2.

10: 6.2

Midpoint of Line Segment

10: Page 197: 1, 2, 4, 8, 13 

3.

Tables of Values, Patters, and Graphs 

 

4.

10:  7.1

Graphing an equation

Worksheet pdf

5.

10: 7.2

10: 7.3

Connecting Equations and Graphs

10: Page 227:  3, 4, 5

10: Page 230: 3, 5

6.

10: 7.4

The Roles of m and b in y=mx+b

10: Page 220: 1, 4ab, 5, 7, 8b, 10, 12

10: Page 236: 4, 5afh, 6, 8, 9b, 10b, 13

7.

10: 7.5

Finding the Equation of a Given Line

10: Page 242: 7, 8, 10

8.

10: 7.7

Slopes and Equations of lines: Special Cases

10: Page 251: 3, 4, 8, 11

9.

10: 7.6

Interpreting the Equation Ax+By+C=0

10: Page 248: 2, 5, 8, 9, 10, 13

10.

 

Review

 

11.

 

Test

 

 

Unit 5: Linear and Non-Linear Models      (16 Periods)

Unit

 

Title

Homework

1.

 

Conditions for Linear Relationships

 

2.

10: 8.1

Finding the Point of Intersection (1)

10: Page 260: 2, 3, 5

3.

10: 8.3

Finding the Point of Intersection (2)

10: Page 267: 1, 3ab, 4ab, 6ad, 8

4.

10:  8.4

Finding the Point of Intersection (3)

10: Page 270: 1, 3, 4aeh, 5a

5.

 

Finding the Point of Intersection (4)

 

6.

10: 5.4

Rearranging Formulas

10: Page 152: 1,2 ,6, 11

7.

 

Word Problems involving Linear Equations

 

8.

10: 5.10

Word Problems involving Linear Equations

10: Page 182: 1, 2, 3

9.

10: 4.1

Word Problems involving Linear Equations

10: Page 113: 4adg. 7ad, 8ae, 9ad, 10ad, 11ad, 15ad

10.

10: 4.2

Word Problems involving Linear Equations

10: Page 117: 3abc, 4abd, 5abe, 6ad, 7ad, 9bc 

11.

10: 4.2

Word Problems involving Linear Equations

10: Page 117: 3def, 4cef, 5d, 6ce,7ef, 9af

12.

10: 5.10

Solving Simple Quadratic Equations

10: Page 182: 1, 2, 3

13.

10: 5.10

Solving Simple Quadratic Equations

10: Page 182: 1, 2, 3

14.

10: 1.3

Absolute Value

10: Page 10:  8ad. 9abd, 10ace

15.

 

Review

 

16.

 

Test

 

 

Unit 6: Exploring Properties of Geometric Figures (9 Periods)

Unit

 

Title

Homework

1.

10: 10.6

Angle Properties of Parallel Lines

3 Worksheets

10: Page 361: 1, 5, 8, 9

2.

10: 10.7

Angles Associated with Triangles

Notes PDF

10: Page 366: 1, 2, 9, 10, 11

3.

 

Angles and Polygons

Worksheet

4.

 

Polygon Properties

 

5.

 

Triangle Centres

Worksheet

6.

10: 11.1

Congruent Triangle

10: Page 372: 3, 4, 6, 12, 13, 16

 

Congruent Worksheet

7.

10: 11.2

Isosceles Triangle Theorem

10: Page 379: 1, 4, 5, 8, 18

 

Isosceles Worksheet

8.

 

Review

 

9.

 

Test

 

 

Unit 7: Measurement  in Three-Dimensional Figures (10 Periods)

Unit

 

Title

Homework

1.

 

Area of Regular Polygons

Area of Regular Polygon Worksheet

2.

 

Volume of Regular Prisms and Cylinders

Volume of Prism and Cylinder worksheet

3.

10: 12.3

Volume of Pyramids and Cones

10: Page 413, 17, 19

4.

10: 12.4

Volume of a Sphere

Sphere Worksheet

10: Page 423: 11

5.

10: 12.2

Surface Area of Prisms and Cylinders

Surface area worksheet

10: Page 408: 1, 4, 9

6.

10: 12.1

Surface Area of Pyramids and Cones

Surface area polygonal worksheet

10: Page 405: 5, 9

7.

 

Surface Area of a Sphere

Surface area sphere worksheet

8.

 

Space Shuttle

 

9.

 

Review

 

10.

 

Test

 

   

 

 Unit 8: Year End (10 Periods)

Unit

 

Title

Homework

1.

10: 5.3

Solving Inequalities

10: Page 149: 1, 3, 4ace, 5

2.

10: 11.4

The Absolute Value

10: Page 390: 3, 4

3.

10: 13.3

Measures of Central Tendency

10: Page 446: 1

4.

10: 4.1

Similar Triangles

10: Page 482: 2, 5, 6, 8

5.

 

Review

 

6.

 

Review

 

7.

 

Review

 

8.

 

Review

 

9.

 

Review

 

10.

 

Test

 

 

  Late Work Policy:  

At WCI is the expectation that students will submit all required work by the assigned due date as evidence of their learning.  Students who fail to meet a due date for an essential course component will be subject to the completion policy found the student planner. Failure to submit this work, despite these interventions, will be recorded as incomplete and may result in a loss of credit.”  

 Cheating/Plagiarism Policy :
 

At WCI it is the expectation that students will submit their own original work for the purpose of demonstrating their learning.  In the event that cheating or plagiarism occurs, the following              consequences may be implemented, in consultation with administration, depending on the    situation:

·         The student may be required to redo all or part of the assignment or assessment.

·         The student may be required to complete an alternate assignment of assessment.

·         The student’s work may be treated as a missed assignment.

·         There may be other consequences that are determined to be appropriate, including disciplinary consequences as outlined in the Cheating/Plagiarism section of the student planner.”

 

Learning Skills :
 

The development of learning skills and work habits is an integral part of a student’s learning.  The achievement of these skills is officially reported on the Provincial Report Card.  The evaluation of learning skills and work habits is reported as follows: E-Excellent, G-Good, S-Satisfactory, and N-Needs Improvement.  For a full description of the 6 Learning Skills; Responsibility, Organization, Independent Work, Collaboration, Initiative, and Self-Regulation, please see the WCI Student Planner.”

 

 What do the Learning Skills look like in Math

Responsibility

Organization

Independent Work

Collaboration

Initiative

Self-regulation

 

·      Do you complete and submit all your class work and assignments on time?

·      Do you allow other students to complete their work during class time?

·      Do you come to class on time?

·      Do you contribute positively to class discussions?

·      Do you respect other students in the class and their opinions?

·      Do you come to class prepared with the proper learning supplies?

·      Do you complete any missed assignments if you were absent?

·      Do you raise your hand when answering a question?

·      Do you AVOID listening to your iPod and NEVER use your cell phone in class?

 

 

·      Do you keep a neat and organized binder?

·      Do you organize and manage your time outside of class to complete your work?

·      Do you use class time appropriately to complete your work?

·      Do you complete your assignments with care and submit them neatly to your teacher?

·      Do you use a planner or any other organizational tool to keep track of due dates and upcoming tests?

 

 

·      Do you work quietly and independently during class when required?

·      Do you work right to the end of the period on your own when asked?

·      Can you work well on your own with minimal assistance and supervision?

·      Do you stay in your seat until the bell rings at the end of the class?

·      When at home do you limit distractions (computer, TV, cell phone, etc.) to maximize your productivity?

 

·      Do you contribute an equal and fair amount of work to group activities?

·      Do you listen and respect the ideas, opinions, values and traditions of other group members?

·      Do you work with others to resolve conflicts within your group?

·      Do you contribute positively to the group goals?

·      Do you cooperate and work efficiently with your partner?

·      Do you and your partner cooperate and work QUIETLY during lab activities?

·      Do you and your partner work together to ensure you adhere to all lab safety rules?

 

·      Do you look for new ways to learn and solve problems?

·      Do you approach new tasks with a positive attitude?

·      Do you try to solve problems on your own before asking for help?

·      Do you seek assistance from your teacher when required?

·      Do you seek out different resources and materials to assist with your learning?

·      Do you require little prompting to complete a task?

·      Are you self-motivated?

 

·      Did you set a goal for this course and have made an effort to achieve this goal?

·      Have you looked for clarification and assistance when needed?

·      Have you taken responsibility for your own learning?

·      Have you looked at your strengths and weaknesses and made an effort to improve your weaknesses?

□ E    □ G    □ S    □ N

□ E    □ G    □ S    □ N

□ E    □ G    □ S    □ N

□ E    □ G    □ S    □ N

□ E    □ G    □ S    □ N

□ E    □ G    □ S    □ N