COLONEL BY SECONDARY SCHOOL 2009-2010

 

MPM 1D COURSE OUTLINE

 

NOTE: THIS OUTLINE IS CONSTANTLY BEING UPDATED / MODIFIED

 

Homework assigned and lesson order are subject to change!

 

Unit Number

Unit Name

Number of Periods

0

Intro

2

1

Review of Numerical Skills

9

2

Exponents

6

3

Polynomials

7

4

Solving Equations

8

5

Relations

13

6

Linear Relations

11

7

Angle Geometry

11

8

2D & 3D Geometry

8

9

Optimizing Measurements (if time)

4 (if time)

10

Preparation for EQAO; Explanation of  the Summative Task

2

11

EQAO

2

12

Exam Review

2

                                                                                                                        Total:                  81 (if time 85)

 

Textbooks:

          Principles of Mathematics 9; McGraw-Hill Ryerson (STUDENTS HAVE)

            Mathematics 9; Nelson (STUDENTS DO NOT HAVE)

            Mathpower 9; McGraw-Hill Ryerson (STUDENTS DO NOT HAVE)

 

The mark breakdown is as follows:        

            Course Work – 70%

            EQAO – 5%

            Summative Task – 5%

            Exam – 20%

 

The weights for the course work section will be:     

         Knowledge – 35%

            Application – 35%

            Communication – 15%

            T.I.P.S. – 15%

 

Unit 1: Review of Numerical Skills (TO UPDATE AS OF OCT ‘09)

   Lesson Number

Number of Periods

Topic and Homework

1.1

1

Number Sets; Decimals; Rounding

HOMEWORK:

Worksheets (refer to p. 13 Mathematics 9 – Nelson for assistance)

1.2

1

Integers

  

HOMEWORK:

Worksheets (refer to p. 18/19 Mathematics 9 – Nelson for assistance)

1.3

1

Fractions

-         include adding, subtracting, multiplying, dividing, equivalent fractions, mixed fractions, lowest terms, reciprocals

HOMEWORK:

Worksheets (refer to p. 14 Mathematics 9 – Nelson for assistance)

1.4

1

Percents

-         converting decimals to fractions & vice-versa, x% of a number, etc.

HOMEWORK:

Worksheets (refer to p.      Mathematics 9 – Nelson)

1.5

1

Order of Operations and Substitution

 

HOMEWORK:

Worksheets (refer to p. 20/23 Mathematics 9 – Nelson for assistance)Ratio,

1.6

1

Rate, & Proportion

 

HOMEWORK:

Worksheets (refer to p. 15/16 Mathematics 9 – Nelson for assistance)

1.7

1

Square Roots & Pythagorean Theorem

 

HOMEWORK:

Worksheets (refer to p. 21/27 Mathematics 9 – Nelson for assistance)

 

1

Review

 

 

1

Test/Task

 

 

 

 

Unit 2: Exponents

 

   Lesson Number

Number of Periods

Topic and Homework

2.1

1

Review Exponents

-         include terminology, negative base, negative in front of base, fraction bases, etc.

HOMEWORK:

p. 113 #C1, C2 and p. 114 #1 - 8

2.2

1

Product Rule and Quotient Rule (notes here)

 

HOMEWORK:

p. 126 # C1, C2 and # 1 – 4, (DO NOT  do #2d!)  8abcde, 9ad, 10, 14 be

NOTE: DO ONLY THE QUESTIONS INVOLVING PRODUCTS AND QUOTIENTS!!!

2.3

1

Power of a Power Rule (notes here)

 

HOMEWORK:

p. 126 # 5 – 7 , 8dfi, 9bc,e- f and complete U2L3 homework worksheet

2.4

1

Review of Exponent Laws

Correct Numeracy tests in class

HOMEWORK:

Complete U2L4 worksheet "Working with the Exponent Laws"

(These are more complex, since some problems include all 3 exponent laws!

2.5

1

Zero & Negative Exponents

INVESTIGATION – CSI style

HOMEWORK:

Complete example problems on back of CSI sheet, and do all questions on "Zero and Negative Exponents" worksheet

1

Review and Summative Notes

Summative notes due on test day (i.e. next class)

1

Test/Task

 

Unit 3: Polynomials

 

   Lesson Number

Number of Periods

Topic and Homework

3.1

1

Terminology of Polynomials

Worksheet U3L1 - Terminology (notes here )

Define a term, coefficient, variable, constant, polynomial, monomial, binomial, trinomial, degree of a term, degree of a polynomial

Homework

p. 102 # 1-5 (aceg for each)

read p. 131-133, then do p. 134 # C2, and #1-8

3.2

1

Collecting Like Terms

Warm-up p. 150 # C1

Identifying, then adding/subtracting like terms.

Use algebra tiles to represent models, (and vise versa)

Homework

p. 107 # 1-3

p. 150 # C2 and #1-5, 7-12

3.3

1

Multiplying by a Monomial (The Distributive Property)

 

Homework

p. 157 # 2abc, 4, 5defh, 6abc, 7, 9

p. 165 # C1, C3, C4, 5, 7-9, 10ab, 13ab

3.4

1

Binomial x Binomial and Dividing by a Monomial

*TIPS*

Homework

p. 168 # 15 ace, 16, 17, 18ac, 19, 20 and

worksheet U3L5 - Dividing Monomials (do circled questions)

 

1

Review (worksheet here) and summary sheets (guidelines here)

 

 

1

Test/Task

 

 

 

 

 

 

 

 

 

 

Unit 4: Solving Equations

   Lesson Number

Number of Periods

Topic and Homework

4.1

1

Checking Solutions of Equations

HOMEWORK: Workseet U4L1 and p. 185 # 5-10

4.2

1

Solving Simple Equations (notes here)

- single variable, one & two step

- adding/subtracting/multiplying/dividing

HOMEWORK:

p. 193 # 3, 4, 5, 8 (check ace only) [K]
p. 193 # 9, 10 [A]
p. 192 # C2 and p. 194 # 11 [C]

4.3

1

Solving Multi-step Equations

-         multiple instances of a single variable

-         brackets

 

HOMEWORK:

p. 200 # 4 – 7, 9acf, 13, 14

4.4

1

Solving Equations with Fractions

 

HOMEWORK:

p. 207 # C , C , 1ab, 3 (Check ad only), 4, (Don’t check), 5, 6a, 8, 9, 10c

4.5

1

Modelling with Formulas

- isolate variables in formulas

 

HOMEWORK:

p. 214 # C , 1 – 3, 6, 8

4.6

1

Application Problems (Modelling with Algebra)

 

HOMEWORK:

p. 226 # 1 – 7, 9, 10, 13a

 

1

Review

 

 

1

Test/Task

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Unit 5: Relations

 

   Lesson Number

Number of Periods

Topic and Homework

5.1

1

Scatter Plots

-         independent/dependent variables

-         outliners

-         relationships/trends

 

POSSIBLE USE OF GRAPHING CALCULATORS

 

HOMEWORK:

p. 63 # C, 1 – 5

5.2

1

Linear and Nonlinear Relations

-         line/curve of best fit

-         interpolation/extrapolation

 

USE OF GRAPHING CALCULATORS

 

HOMEWORK:

p. 83 # C, 1, 3, 4c, 5(In “d” say whether you extrapolated or interpolated to estimate), 7

 

 

2

Rich Learning Task

Task:

have students design and carry out an investigation involving relationships between two variables and write a report (REFER TO p. 86 #8)

 

5.3

1

Distance-Time Graphs

-         **CBR activity**

-         Interpreting graphs

 

HOMEWORK:

p. 91 # 1 – 4, 7

5.4

1

Slope

-        

-         positive/negative rise/run

-         positive/negative slope

 

HOMEWORK:

p. 258 # C, C, 1 – 6, 8, 9adef, 12a

5.5

1

Slope as a Rate of Change

-        

 

HOMEWORK:

p. 267 # C, 1 – 7

5.6

1

First Differences

 

HOMEWORK:

p. 275 # C, 1, 2, 4, 5

 

   Lesson Number

Number of Periods

Topic and Homework

5.7

1

Direct Variation

 

HOMEWORK:

p. 242 # C, 1, 2, 4, 5, 6, 9

5.8

1

Partial Variation

 

HOMEWORK:

p. 250 # C, 1, 2, 4, 5, 6, 10

5.9

1

Connecting Variation, Slope and First Differences

-         Investigation recommended

-         Rule of four

 

HOMEWORK:

p. 284 # C, 1, 2, 3a, 4, 6, 7, 9ab, 10ab

 

1

Review and Summative Notes

 

 

1

Test/Task

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Unit 6: Linear Relations

 

   Lesson Number

Number of Periods

Topic and Homework

6.1

1

The Equation of a Line in Slope y-Intercept Form

-         Intercepts

-         Include vertical and horizontal lines

 

HOMEWORK:

p. 303  # C, 1 – 5, 10

6.2

1

Graphing from Slope y-Intercept Form

-         Review graphing using a table of values

-         Graph using m & b

 

HOMEWORK:

p. 304 # 1bc (Graph using a table of values), 6, 7

6.3

1

The Equation of a Line in Standard Form

-         Rearrange an equation from slope y-intercept form into standard form

-         Rearrange an equation from standard form into slope y-intercept form (**TIPS** Only teach of you want to)

 

HOMEWORK:

p. 312 # C, 1 – 3, 4abd, 7 – 9, 11

6.4

1

Graphing a Line using Intercepts (Graphing from Standard Form)

 

HOMEWORK:

p. 319 # 1- 3, 5, 6

6.5

1

Parallel and Perpendicular Lines

-         Investigation recommended

 

HOMEWORK:

p. 328 # 1 – 7 (DO  NOT NEED TO GRAPH ANY), 8, 9a

6.6

2

Finding the Equation of a Line Given the Slope and a Point

1st day:

-         Slope and point given

 

2nd day:

-         Parallel/perpendicular to and a point

 

HOMEWORK:

1st day:                                  2nd day:

p. 335 # 1, 3, 4                      p. 335 #  C , 2, 5, 6

                                             Worksheet (p. 139 #4, 5, 8cd, 9, 10 -  Nelson 9)

6.7

1

Finding the Equation of a Line Given Two Points

 

HOMEWORK:

p. 342 # 1 – 5, 7

6.8

1

Linear Systems

-         Solve a system by graphing only

 

HOMEWORK:

p. 348 # 1, 2, 7, 9

 

   Lesson Number

Number of Periods

Topic and Homework

 

1

Review and Summative Notes

 

 

1

Test/Task  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Unit 7: Angle Geometry

 

   Lesson Number

Number of Periods

Topic and Homework

 

2

Geometer’s Sketchpad

-         Students will have two periods to work on labs (There are also GSPs in the textbook)

-         Choose which labs are valuable for students to complete

-         Students do not have to complete the exercises

 

Labs 1, 2 – Intro to GSP

Lab 3 – Angle Properties (OAT/CA/SA/CAT/SAT)

Labs 4 - 8 – Triangles:  (Altitude, Angle Properties [SATT, ETT, ITT, EAT],

                     Median, Perpendicular Bisectors, Angle Bisectors)

Lab 9 – Angle Properties of Quadrilaterals

Lab 10 – Polygons

Lab 11 – Parallel Lines (PLT- F, C, Z)

 

HOMEWORK:

Worksheet:  Classification of Polygons, Triangles, and Quadrilaterals

7.1

1

Angle Properties

-         Definitions

-         OAT, CA, SA, CAT, SAT

 

HOMEWORK:

Worksheet (refer to GSP booklet for some assistance)

7.2

1

Angle Relationships in Triangles

-         Definitions

-         SATT, EAT, ETT, ITT

 

HOMEWORK:

p. 371 #1 – 5, 11 (Give reasons for every question)  OR Worksheet

7.3

1

Parallel Lines

-         Definitions

-         PLT – F, C, Z

 

HOMEWORK:

Worksheet

7.4

1

Angle Relationships in Quadrilaterals

-         Interior and exterior angles

-         Angles in a parallelogram

 

HOMEWORK:

p. 381 # 1 – 7, 13

7.5

1

Angle Relationships in Polygons

-         Definitions

-         Sum of interior angles of a polygon with n sides

-         Sum of exterior angles of a convex polygon

 

HOMEWORK:

p. 391 # 1 - 7

 

 

   Lesson Number

Number of Periods

Topic and Homework

7.6

1

Midpoints and Medians in Triangles

-         Include midsegment (Midsegment half as long, cuts the height in half)

-         Medians bisect the area

 

HOMEWORK:

p. 398 # 1, 2, 4, 6

7.7

1

Midpoints and Diagonals in Quadrilaterals

-         include diagonals of parallelograms

 

HOMEWORK:

p. 405 # 1 -5, 12

 

1

Review and Summative Notes

 

 

1

Test/Task

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Unit 8: 2D & 3D Geometry

 

   Lesson Number

Number of Periods

Topic and Homework

8.1

1

Perimeter and Area of 2D Composite Figures

-         Formula sheets are given

-         Review Pythagorean theorem

 

HOMEWORK:

p.423 # 1a, 2a

p. 432 # 1, 2, 4, 10, 12

8.2

1

Surface Area and Volume of Cylinders

-         Review of gr. 8

 

HOMEWORK:

Cylinders:  Worksheet (refer to p. 413 (3a, 6, 10, 11) & 433 (2 – 4)  Nelson 9)

8.3

1

Surface Area and Volume of Prisms

 

HOMEWORK:

p.441 #  3 – 6, 9

8.4 

1

Surface Area and Volume of Pyramids

 

HOMEWORK:

p. 441 # 1, 2, 7, 8, 11, 16

 

8.5

1

Surface Area and Volume of Cones

 

HOMEWORK:

p. 447 # 1 – 3, 8, 9

p. 454 # 1ac, 2, 4, 5, 13ac

 

8.6

1

Surface Area and Volume of Spheres

 

HOMEWORK:

p. 459 # 1ac, 2 -5

p. 465 # 1ac, 3, 4, 7, 8

 

1

Review and Summative Notes

 

 

1

Test/Task

 

 

 

 

 

 

 

 

 

 

 

 

 

Unit 9:  Optimizing Measurements

 

   Lesson Number

Number of Periods

Topic and Homework

9.1

1

Perimeter and Area Relationships in a Rectangle

-         Investigations recommended

 

HOMEWORK:

p. 487 # 1, 2, 5, 6

9.2

1

Minimizing Surface Area and Maximizing Volume of a Square-Based Prism

-         Investigations recommended

 

HOMEWORK:

p. 495 # 1, 4, 5

p. 501 # 1, 2ab, 5

9.3

1

Minimizing Surface Area and Maximizing Volume of a Cylinder

-         Investigations recommended

 

HOMEWORK:

p. 508 # 1ab, 3, 6

p. 513 # 1ab, 3, 6

 

1

Summative Task/Mini-Test