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Grade 11 Enriched Math (MCR3U6)

Grade 12 AP Statistics (MDM4UE) 2nd semester

 

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)

Wheel Decide practice function spinners: function; a & k coeffcients; p & q coefficients

Wheel Decide practice trig spinners:  a & k coeffcients; p coefficient (radians);  q coefficient

 

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

5

Introduction to Finance

Simple Interest; Compound Interest

Future Amount vs. Present Value

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

6 One Act

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

7 One Act

Annuities I – using formulas

7.5 P532 #6—10, 12,

7.6 P541 #8—12

10

Annuities II

Income & Income Tax

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

7.6 P542 #14, 17, 19

Income Taxes 2017

11

Annuities III – equivalent rates

(converting interest to match payment periods)

Handout, Equivalent Rates

Handout, Tricky Annuities

Handout, Annuity Summary

12 Holiday Serenade

Annuities IV – amortization tables, spreadsheets & mortgages

7.7 P555 #1—6

13

Mortgages

7.8 P567 #1, 2, 6, 8—12

14

Review Financial Math

In class activity: Review Financial Math Activity

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

17

Introduction to Sigma Notation

Handout, Introduction to Sigma Notation

Handout, Properties of Sigma Notation

Optional

Rapid Sums Using Sigma Notation

Handout, Rapid Sums Using Sigma Notation

Super-optional

Proving the Rapid Sums Identities

Handout, Proving Rapid Sums Identities (visual proofs)

Handout, Proving Rapid Sums Identities II (algebraic)

18

2.1 Introduction to Polynomial Functions

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

19

2.2 Transformations of Simple Polynomial Functions

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

20

2.3 Characteristics of Polynomial Functions

 

Quiz – Financial math  (mandatory)

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

21 Star Search

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.

Dec 22 – Jan 6

Christmas & New Year Holidays

 

7

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.

8 staff mtg

2.7 Even and Odd Polynomial Functions

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

9

3.1 Division of Polynomials

Note: synthetic division is NOT required

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

10

3.2 The Remainder and Factor Theorems

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

11

3.3 Factoring Polynomials Using the Factor Theorem

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

14

3.4 Methods of Factoring Polynomials

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

15

3.5 Solving Polynomial Equations

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

16

3.6 Solving Polynomial Inequalities

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

17

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.

18

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

21

Math EQAO (day 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)

22

Math EQAO (day 2)

 

23

Review for exam

 

24

Exams

 

25

Exams

 

28

Exams

 

29

Exams

 

30

Exams

 

31

Exam Review Day

8:50 – 9:20         Period 1

9:25 – 9:55         Period 2

10:00 – 10:30     Period 3

10:35 – 11:05     Period 4

11:10 – 11:40     Period 5

11:45 - 12:25      Lunch

 

 

 

 

Grade 12 AP Statistics

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

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

·         Graphing/Charting and General Data Visualization App

·         Normal Distribution calculator, by David Lane