image002.jpg

Navigation

[back to RHHS Math Dept]

 

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)

 

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

Sept 4 Staff Mtg

Grade 9 Transition Day

 

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

Solving Quadratics Equations

  - by factoring

  - by completing the square

  - using the quadratic formula

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

·         Review Quadratics Notes

·         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, Radicals (check answers here.)

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

2.4 Radicals

2.5 Complex Numbers

The Fundamental Theorem of Algebra

2.5 P150 #4—7 (odd), 11, 12, 14

Handout, ad Infinitum

12

2.3 Solving Quadratic Equations

Handout, Sudorku

(How dorky are you?  Check here.)

(Sudorku completed answers.)

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 (notes)

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

14

2.2 Review Quadratic Min/Max Problems

Quiz – simplifying radicals, complex numbers (no calculators)

·         Min-Max Problems

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 Notes

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

18

Systems of Equations

Handout, Systems of Equations

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; + ­ ×÷)

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

·         Rational Expressions

1.5 P43 #14, 15

1.6 P51 #8—12

1.7 P59 #7—9

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

 

 

 

 

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