2018 Grade 11 Enriched Outline (MCR3U6)

# Unit 1:Algebra

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

Sept 4 Staff Mtg

Sept 5th

Introductions

Student Profiles

Review the Pathways

Review Algebra without Calculators

Determining points of intersection (Review III  Linear Functions)

Handout, Opening Day Course Outline

Handout, Learning Skills & Progress

·         View the notes here:
Review Checklist;
Review I  Algebra & Linear Systems
Solving Linear Systems focus on form;

·         Handout, Review Algebra without calculators, do some until you feel confident

·         Handout, Review III  Linear Systems, do some until you feel confident

Handout, Practice Set  Factoring

Handout, Practice Set  Factoring II

(Try all the Practice Sets for homework.  If you cant finish some questions, we come back to class to try again with your colleagues.)

6

- by factoring

- by completing the square

Parabolas

- Vocab

- Graphing in factored form (zeros; axis of symmetry; vertex)

- Graphing from vertex form (vertex; counting squares for 5 key points)

Equation of a circle

- Centred at the origin

- Centred at (h, k)

The Pathways conversation

Take up Practice Sets

·         Notes:  Review II  Quadratics

·         Handout, Review I - Solving Quadratic Equations, do odd #s

·         Handout, Review II  Quadratic Functions & Relations, odd #s

7

Solving Triangles

Lesson topic: cardinality

·         Notes:  Review III  Trigonometry

·         Handout, Review IV  Trigonometry, odd #s

·         Handout, Number Sets

Handout, Practice Set  Parabolas

10 Rosh Hashanah

Review Number Theory

Irrational & Complex Numbers

2.1 Complex Numbers

Handout, Simplifying Complex Numbers (check notes here.)

·         Handout, Simplifying Radicals, odd #s

·         Handout, Complex Numbers, odd #s

2.1 P108 #12, 15 (check answers for #15 here)

2.4 P140 #5 odd, 9, 12, 14, 17odd

(still working on Practice Set  Parabolas I & II)

11 Rosh Hashanah

2.5 Complex Numbers

The Fundamental Theorem of Algebra

2.5 P150 #47 (odd), 11, 12, 14

12

Handout, Sudorku

(How dorky are you?  Check here.)

Handout, Practice Set  Parabolas II

2.3 P130 #13, 16, 17, 21, 23, 26, 33, 39, 41, 42, 45

13 Photo Day

Sum & Product of Roots of Quadratics

·         Roots of Quadratic Equations #15, 7, 9, 11, 1315
For our example, well do #6.

14

Quiz  simplifying radicals, complex numbers (no calculators)

2.2 P117 #9, 15, 19

Handout, Practice Set  Quadratics Equations

Optional:  2.2 P116 #3, 8, 10, 16, 17

17

Linear Quadratic Systems (parabolas & circles)

Using the Discriminant

·         Linear Quadratic Systems #1, 3, 5, 8, 1720

18

Systems of Equations

Handout, Systems of Equations

View demos done in Desmos for:

19 Yom Kippur

Exponent Laws

·         Review Exponent Laws (See the proofs here.)

·         Rational Exponents (Check notes here.)

1.1 P9 #18 (odd), 1214, 16

1.2 P16 #16 (odd)

20

Exponent Laws II  focus on form

Solving Exponential Equations

·         Solving Exponential Equations (check notes here.)

1.3 P23 #17 (any 3 letters), 811 (odd), 1623

Optional challenging handout, More Exponential Equations   (Check here for full solutions.)

21

Rational Expressions (reduce; + ­ Χχ)

Handout, High Performance Expand & Factor  (Do a column on a page and time yourself.  Repeat.)

1.5 P43 #14, 15

1.6 P51 #812

1.7 P59 #79

Handout, Continued Fractions

Practice Set  Quadratic Equations II

24

PA Day

25

More Rational Expressions

Quiz  Exp Laws, Exp Eqns (no calculators)

1.5 P43 #18 (req. tenacity!)

1.6 P52 #13, 15, 16

1.7 P60 #1012

Watch the CEMC video on solving linear inequalities. You dont have to do any exercises.

1.3.         Solving Linear Inequalities (5 lessons; 22:24)

26

Even More Rational Expressions

Solving Linear Inequalities

1.8 P67 #510 (odd); 11, 14

1.9 P79 #6 odd, 7 odd, 15, 16

27

Review for Test 1

2.4 P140 #47 (odd), 9, 12, 14, 17odd

2.5 P150 #47 (odd), 11, 12, 14

28 Ont Uni Fair

Test 1