2018 Grade 11 Enriched Outline (MCR3U6)

Unit 4:  Sequences & Series; Pascal’s Triangle; Binomial Theorem; Financial Math

 

Pink topics are pure enrichment topics

Yellow topics are 11U topics, with more difficulty or rigor

Blue topics are 12U material required for MHF4U

 

Date

Topics & Learning Goals

Homework

22 Uni pathways evening

Arithmetic, Geometric & Recursive  Sequences

 

Make Your Own Notes:

·         Vocabulary

·         Example(s)

·         Formula(s) – derive & summarize

Handout, Introduction to Sequences (check answers)

6.2 P441 #3—8 (odd letters);

6.3 P452 #4—6 (odd), 7 * mistake in answers

6.4 P461 #1—4 (odd), 5—8

23

PA Day

 

26

Sequences (continued)

Quiz – Advanced Trig Identities & Equations (optional; no calculators)  There is a sign-up sheet in the Classroom Drive.

6.2 P442 #9, 22, 24, 25, 32, 33, 36—40;

6.2 P446 Achievement Check question

6.3 P454 #14, 17—28 (#23 find the answer! The textbook answer is “yes”.)

6.4 P462 #9, 13, 15, 16

27

Arithmetic & Geometric Series

Quiz – polar stuff (mandatory)

Arithmetic & Geometric Series

6.5 P469 #1—4 (odd letters)

6.6 P476 #1—3, (odd letters), 4, 5

28 full disclosure

Arithmetic & Geometric Series II

6.5 P469 #7, 9, 16—21

6.6 P476 #4, 7, 10, 12, 15, 19

29 semiformal

Infinite Geometric Series

Pascal’s Triangle

Infinite Geometric Series

  • Read these notes and examples, here.
  • Do this homework, here.

Pascal’s Triangle

  • Read these notes and examples, here.

·         Do this homework, here.

·         Summary of Pascal’s Triangle

30

Binomial Theorem

Binomial Theorem (notes)  (check notes here)

Binomial Theorem (homework)

Dec 3rd staff mtg

Binomial Theorem II - using the general term

Quiz – sequences & series

Binomial Theorem II – The General Term (check notes here)

Binomial Theorem II  (homework)

4

Binomial Theorem III

Test 3 corrections due

Handout, Maclaurin Series

(Play with the graphs in Desmos here.)

Binomial Theorem III  (check notes here)

Binomial Theorem III  (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 (check here for solutions.)

12

Annuities IV – amortization tables, spreadsheets & mortgages

7.7 P555 #1—6

13 Holiday Serenade

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

Review Financial Math

Work period