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[back to RHHS Math Dept]

 

Grade 11 Enriched Math (MCR3U6)

Grade 12 AP Statistics (MDM4UE)

 

Frivolous & Fun Stuff

Probabilities in Monopoly®

 

TED talks:

Spanish with English subtitles, Eduardo Sáenz de Cabezón: Math is forever.

Roger Antonsen: Math is the hidden secret to understanding the world

Salman Khan (the Khan Acadamy guy):  Let's use video to reinvent education

 

Youtube videos:

Malcolm Gladwell on the importance of stubbornness (27:37)

Rethinking Education – Sal Khan (1:30:08)

 

CBC Radio, How big data is changing the video you watch (10:25)

Malcolm Gladwell podcast, Revisionist History

 

Download

[Flatland (the book) can be downloaded from Wikipedia]

Download Mr. Shim’s recommended Graphing Software (free!)

Grade 9 Academic EQAO Formula Sheet

Geometer Sketchpad 5.06 (download)

License name:  ONTARIO DSBYORK

Authorization code:  KQJ9P1RF7C9CVGP1M7REVX58

 

 

Math Tools & Resources

Desmos Graphing Tool (online version)

Math Tools (click here)

Probability Tools (click here)

Vector Visualizer (try this online vector tool for visualizing)

 

UWaterloo CEMC Courseware – on line instructional videos with exercise & enrichment questions (a work in progress, but an excellent resource for 12U Advanced Functions and 12U Calculus & Vectors)

Grade 11 Enriched Math

Date

Topics & Learning Goals

Homework

15

Introduction to Finance

Simple Interest; Compound Interest

Future Amount vs. Present Value

Today’s class is diverted to the library

Read “Key Concepts” on pages 507 & 522 of the textbook for the formulas.

7.1 P498 #1—4

7.2 P508 #4, 7—11

7.4 P523 #4—8, 10—12

16

Future Amount vs. Present Value II

Calculate manually; create a spreadsheet

Simple Ordinary Annuities

  1. derive the formula
  2. present value & future value

Quiz – Pascal’s Triangle & Binomial Theorem

Handout, The Amount of an Ordinary Annuity (Check the completed notes here.)

Handout, The Present Value of an Ordinary Annuity (Check the completed notes here.)

7.2 P510 #20, 22

7.4 P524 #15—18

17

Prom

Annuities I – using formulas

7.5 P532 #6—10, 12,

7.6 P541 #8—12

18

Annuities II

Income & Income Tax

7.5 P533 #14, 15 (check #15 solns)

7.6 P542 #14, 17, 19

Income Taxes 2017

21

Victoria Day

 

22

Annuities III – equivalent rates

(converting interest to match payment periods)

Handout, Equivalent Rates

Handout, Tricky Annuities

Handout, Annuity Summary (check here for solutions.)

23

Annuities IV – amortization tables, spreadsheets & mortgages

7.7 P555 #1—6

 

24 Math PD BTC

Mortgages

7.8 P567 #1, 2, 6, 8—12

25

Review Financial Math

In class activity: Review Financial Math Activity

Check the review checklist here for Test 4 (which we won’t have).

 

Make up problems and share them with the class on the Team Drive.  Post solutions (pictures or PDFs).  You can add or edit, but DO NOT change the question numbers, because that will lead to confusion.

28

Review Financial Math

Work period

29

2.1 Introduction to Polynomial Functions

Do the exercises on the CEMC Advanced Functions website for Introduction to Polynomial Functions.

30

2.2 Transformations of Simple Polynomial Functions

Watch the lessons on the CEMC Advanced Functions website for Transformations of Simple Polynomial Functions.

31

2.3 Characteristics of Polynomial Functions

Quiz – Financial math  (mandatory)

Watch the lessons on the CEMC Advanced Functions website for Characteristics of Polynomial Functions.

June 1

2.4 Graphs of Polynomial Functions in Factored Form

Do the exercises on the CEMC Advanced Functions website for Graphs of Polynomial Functions in Factored Form.

4

2.5 Equations of Polynomial Functions in Factored Form

Watch the lessons on the CEMC Advanced Functions website for Equations of Polynomial Functions in Factored Form.

5

2.7 Even and Odd Polynomial Functions

Watch the lessons on the CEMC Advanced Functions website for Even and Odd Polynomial Functions.

6

3.1 Division of Polynomials

Do the exercises on the CEMC Advanced Functions website for Division of Polynomials.

7

3.2 The Remainder and Factor Theorems

Watch the lessons on the CEMC Advanced Functions website for The Remainder and Factor Theorems.

8

Carnival

3.3 Factoring Polynomials Using the Factor Theorem

Do the exercises on the CEMC Advanced Functions website for Factoring Polynomials Using the Factor Theorem.

11

3.4 Methods of Factoring Polynomials

Watch the lessons on the CEMC Advanced Functions website for Methods of Factoring Polynomials.

12

3.5 Solving Polynomial Equations

Do the exercises on the CEMC Advanced Functions website for Solving Polynomial Equations.

13

3.6 Solving Polynomial Inequalities

Do the exercises on the CEMC Advanced Functions website for Solving Polynomial Inequalities.

14

3.7 Solving Polynomial Equations and Inequalities using Technology

Watch the lessons on the CEMC Advanced Functions website for Solving Polynomial Equations and Inequalities using Technology.

15

Eid-Ul-Fitr

Review for Exams
Quiz – Polynomials & Functions (optional)

Review Algebra P85 #1—27

Chapter Test P90 #1—13

Review Quadratics Concepts P154 #1—4, 8—30

Chapter Test P158

Review Transformations of Functions P246 #1—46

Chapter Test P254

Review Trigonometry P313 #1—19

Chapter Test P316

Review Trig. Functions P412 #1—37

Chapter Test P418

Review Sequences & Series P480 #1—38

Chapter Test P486

Review Financial Mathematics P572 #1—17, 22—26

Chapter Test P577

18

Grade 12 exam – period 1

Exam Review

Here are all the review checklists.

Review for Test 1

Review for Test 2

Review for Test 3

Review for Test 4 (we had a string of quizzes, but this is the summary)

19

Grade 12 exam – period 2

Exam Review

Work period

20

Exams

 

21

Exams

 

22

Exams

 

25

Exams

 

26

Exams

 

27

Exam Review Day

 

28

PA Day

 

29

PA Day

 

Sun July 1st

Canada Day

 

 

 

 

Grade 12 AP Statistics

·         Download the TI-83 Plus guidebook PDF from Texas Instruments

·         Hey, our textbook Stats: Modeling the World, is available online!

·         Document filename format:  Ch#  P##  Q##  yourname (Ex. Ch8  P197 Q41.ftm would be the Fathom file for that homework question.

·         Graphing/Charting and General Data Visualization App (Thanks Mark)

·         Normal Distribution calculator, by David Lane (Thanks Brian)

 

Date

Topics & Learning Goals

Resources

Homework

17

Prom

12:00 noon, AP Statistics Exam (yes, on the same day as prom)

 

 

18

4.1 Organized Counting

Understand the Fundamental Counting Principle; when to correctly multiply or add (and sometimes subtract).

Using “Counting Boxes” with annotations for proper solutions.

 

4.2 Factorials and Permutations

Understand the basics of combinatorics including factorial and permutation notation.

Learn and practice how to communicate your solution.

Handout, 4.1 Intro to Organized Counting  (Check the completed notes here.)

 

Handout, 4.2 Factorials and Permutations  (Check the completed notes here.)

§4.1  p.229 # 1–5, 8–10, 13, 14, 17, 18ab

§4.2  p.239 #1 – 4, 6, 7, 10, 15, 17, 18 , 11,   13, 14, 19, 22, 16, 12

21

Victoria Day

 

 

22

Work period

Handout, Permutations with Restrictions  (Check the completed notes here.)

§4.1  p.230 #19, 23, 24

§4.2  p.239 #9, 11, 12, 16, 20, 22, 23

23

4.3 Permutations with some identical items 

Understand how to calculate the number of permutations of n objects where some of the objects are identical.

Handout, 4.3 Arrangements with Some Alike  (Check the completed notes here.)

 

(If you want, start tomorrow’s homework.  Today’s homework is a bit light.)

§4.3  p.245 #2–7, 10, 12, 14, 16

 

24

Math PD BTC

Work period

Handout, Permutations - Extra Problems

25

5.1 Venn Diagrams

5.2 Intro to Combinations 

Understand how to solve problems using Venn Diagrams.  Learn the principal of inclusion and exclusion.  Recognize the difference between a permutation and a combination.  Solve problems involving combinations.

Handout, 5.1 Counting Using Venn Diagrams  (Check the completed notes here.)

 

Handout, 5.2 Introduction to Combinations  (Check the completed notes here.)

§5.1  p.270 #1–5, 9

§5.2  p.279 #1, 2, 4, 5, 9, 11, 12, 13, 18, 22

28

Work period

Handout, 5.2 Introduction to Combinations

Handout, p.4  #16

29

5.3 Types of Combinations

Solve problems with combinations involving different scenarios:  size of the subset is known / unknown and some items identical.

 

Handout, 5.3 Take ‘em or leave ‘em Counting  (Check the completed notes here.)

§5.3  p.286 #1 – 11, 14, 16, 18, 22, 24

30

Work period

Handout, Combinations & Permutations

 

31

Probability Revisited

 

June 1

 

 

4

Test 4 – Combinatorics & Probability

 

 

5

 

6

 

7

 

8

Carnival

 

 

 

11

 

12

 

 

13

 

14

Final exam review

 

15

Eid

 

Final exam review

 

18

Grade 12 exam

Final exam review

 

19

Grade 12 exam

Final exam review

 

20

Exams

 

 

21

Exams

 

 

22

Exams

 

 

25

Exams

 

 

26

Exams

 

 

27

Exam Review Day

 

 

28

PA Day

 

 

29

PA Day

 

 

Sun July 1st

Canada Day