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

Homework

22 Uni pathways evening

Arithmetic, Geometric & Recursive  Sequences

·         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

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

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