MCR3U0

=MCR3U0=

Thank you for visiting this website.

Below are some tentative Unit Plans and suggested Homework for Mathematics MCR3U0 during the 2014-2015 school year.

This course uses the McGraw-Hill Ryerson textbook "Functions 11", 2009. All sections and page numbers are in reference to this textbook.

Please note that not all of the below lessons/worksheets may be used and material may change in class based on assessed class level, teacher collaboration, teaching method experimentation, or other acts of random inspiration. Or even a possible Zombie Apocalypse. However, when/if the Zombie Apocalypse happens, please note that the requirement for missed test forms from Parents and/or Doctors will be temporarily waived.

**Jump to Unit**
Unit 1 - Rational Expressions Unit 2 - Tools for Functions Unit 3 - Functions Unit 4 - Exponential Functions Unit 5 - Trigonometry Unit 6 - Trigonometric Functions Unit 7 - Sequences and Series

Unit 1 - Rational Expressions
-Simplifying Rational Expressions || -Worksheet -p77, #9,10,12,13 || -p84, #5,6 || -Adding and Subtracting Rational Expressions || -Worksheet -p94, #7-12 || -Solving with Rational Expressions || -Worksheet ||
 * **Day** || **Topics** || **Homework / Re**sources ||
 * Day 1 || -Expanding/Factoring Review
 * Day 2 || -Simplifying Rational Expressions || -Worksheet
 * Day 3 || -Multiplying and Dividing Rational Expressions || -p94, #1-6 ||
 * Day 4 || **-Quiz**
 * Day 5 || -Adding and Subtracting Rational Expressions || -p94, #7-12 ||
 * Day 6 || **-Quiz**
 * Day 7 || -Applications || [[file:06.03-Applications of Rational Expressions.pdf]] ||
 * Day 8 || -Review ||  ||
 * Day 9 || -Test ||  ||

Unit 2 - Tools for Functions - Quadratics, Number Systems, Radicals
-Three (3) Forms of an Equation || -p31, #1, 2a-d || -#1,4,6-9,11,13,14,16 -Extra: p31, #5,6,8,9,11 || -p39, #1-9 || -Rationalize the Denominator -Applications || -Worksheet #4-6,8 -p40, #11,13,14 || -Exact Roots || -Puzzle -p49, #1de,3def,5b(tips),7bdg || -Creating an Equation given Roots || -p49, #6,8,15,16 -p57, #5,6 || -Worksheet || -Review || -p69, #14,15,16 -Group Problems Radicals: p70, #7,8; p73, #14 Completing the Square: p72, #5,11 Max/Min Problems: p70, #5; p73, #12, 13 Solving, Discriminant: p70, #9,10; p73, #17 Equations of Parabolas: p71, #12, 13; p73, #18, 19 Intersections and Applications: p71, #15, 16, 17; p73, #22 ||
 * **Day** || **Topics** || **Homework / Re**sources ||
 * Day 1 || -Quadratics Review
 * Day 2 || -Completing the Square || -p31, #2ef, 3, 7 ||
 * Day 3 || -Maximum and Minimum Problems || -Worksheet
 * Day 4 || -Number Systems and Radicals || -Puzzle
 * Day 5 || **-Quiz - Completing the Square & Max/Min**
 * Day 6 || -Solving Quadratic Equations
 * Day 7 || -Roots
 * Day 8 || -Assignment ||  ||
 * Day 9 || -Solving Linear / Quadratic || -p67, #1ac,3ac,5bcd,7,8,10
 * Day 10 || -More Solving Linear / Quadratic
 * Day 11 || -Practice TIPS || [[file:11.00-Practice Thinking.pdf]] ||
 * Day 12 || -TIPS ||  ||
 * Day 13 || -Test ||  ||

Unit 3 - Functions.
-Domain and Range || -Worksheet handout -1.1, p12, #1,2,3cd,4,5,6a-d,7,13,18, optional #19 || -1.2, p22, #1,2ace,3,5a,6,8,11,13 || -Worksheet handout || -Graphing families of functions with transformations -Domain and Range || -iPads -Worksheet -2.3, p102, #6 || -Review: Vertical Stretch/Compression -New: Horizontal Stretch/Compression || -iPads -Handouts -2.4, p111, #1-5 -2.5, p119, #1-4 || -More Combinations of Transformations || -iPads -Handouts -2.5, p120, #4,6 -2.6, p129, #1-2 || -Continue handouts from Day 6 -2.6, p129, #3-7 || -Introduction of Inverse Functions || -Worksheet (Chomp Set) -2.7, p138, #1-3 || -Graphing Inverse Function || -iPads -Worksheet -2.7, p138, #4bd, 5ac, 6d, 11, 12, 17, 18, 21 ||
 * **Day/Date** || **Topics** || **Homework / Resources** ||
 * Day 1 || -Definition of Relations and Functions
 * Day 2 || -Function Notation || -Worksheet (Gears Set)
 * Day 3 || -Base Graph Functions || -iPads
 * Day 4 || -**Quiz**
 * Day 5 || -Graphing Functions
 * Day 6 || -**Quiz**
 * Day 7 || -More Combinations of Transformations || -iPads
 * Day 8 || -**Quiz**
 * Day 9 || -More Inverse Functions
 * Day 10 || **-TIPS** ||  ||
 * Day 12 || **-Test** ||  ||

Unit 4 - Exponential Functions.
-3.0, Prereq Skills: p148 #1,3,4,6,7 -3.3, p175, #1-4 || -3.3, p175, #6 || -3.4, p184 C1, C2; p185, #1-5, 7, TIPS #17 || -3.5, p195, C1; p196, #1,3,4,7,8 || -3.5, p196, #9,10,11ab, TIPS #13 || -3.1, p150 -3.2, p160 || ||
 * **Day / Date** || **Topics** || **Homework / Resources** ||
 * Day 1 || -Rational Exponents -Power Laws || -Handouts [[file:Exponents Review.pdf]]
 * Day 2 || -Simplifying Using Power Laws || -Worksheet [[file:02.2-Simplifying Power Rules-HW.pdf]]
 * Day 3 || -**Quiz** -Solving Exponential Equations || -Group Activity ||
 * Day 4 || -Exponential Functions Introduction -Rates of Change || -Handouts [[file:04.0-Exploring the Properties of Exponential Functions.pdf]] [[file:04.1-Comparing Exponential Functions.pdf]] [[file:04.2-Special Cases to Investigate.pdf]] [[file:04.3-Properties Exp Fns.pdf]] [[file:04.8-Linear_Quadratic_Exponential_Tables.pdf]]
 * Day 5 || -Graphing Exponential Functions || -iPads -Handouts [[file:05.0-Warm up graph decay.pdf]] [[file:05.1-Exploring the Properties of Exponential Functions.pdf]] ||
 * Day 6 || -**Quiz** -Transformations || -iPads -Handout [[file:06.1-Exponential Graphing Tutorial.pdf]] [[file:06.02-Transformations.pdf]]
 * Day 7 || -Continue Transformations **-Mid-Unit Review In-Class Assignment** || -iPads -Handout [[file:07.2-Mid Unit Review Activity.pdf]] [[file:07.2-Mid Unit Review Activity-Solutions.pdf]]
 * Day 8 || -**Quiz** -Growth and Decay || -Handouts [[file:08.1-Exponential Growth and Decay recap rules.pdf]]
 * Day 9 || -Growth and Decay Cont. || -Continue yesterday's material -3.1, p150 -3.2, p160 ||
 * Day 10 || -Review Work Period || [[file:10.1-Exponential Recap Activity.pdf]]
 * Day 11 || **-Test** ||  ||

Unit 5 - Trigonometry

 * Day 1 || Review of Trigonometry from Grade 10 || [[file:01.01-Trigonometry Terms.pdf]]

-4.4, p254-256, #1a-c, 3, 4, 11 ||
 * Day 2 || 3D problems || [[file:02.05-example of 3D problem.pdf]]

p266-267, #4,5,7,8 || - The Ambiguous case investigation || -Worksheet || Optional extra practise:
 * Day 3 || Focus on Sine Law
 * Day 4 || -Ambiguous Case Problems || -Worksheet

p255-256, #6, 14, 21 ||
 * Day 5 || In class Assignment on Trigonometry so far ||  ||
 * Day 6 || Special Triangles as they relate to problems || Memory Aid:

p229-230 #11,12,13,17,18 p255, #8 || p237-239, #1abe, 2def, 3, 11, 12 ||
 * Day 7 || Angles from 0° - 360° with CAST and related angles || Worksheet
 * Day 8 || CAST, Related and Co-terminal angles || Continue worksheet from yesterday

p238-239, #4,5,6,7,8,9,10 || || || Introduce Reciprocal Ratios Identities ||
 * Day 9 || Using CAST, reference and related angles, solve simple trig equations || -Worksheets
 * || Optional additional information sheet to help better understand concepts
 * Trigonometric Functions in Four Quadrants
 * Trig Ratios on the Plane || [[file:09.10-Trigonometric Functions in Four Quadrants.pdf]]
 * Day 10 || **Quiz**

p271, #3,4,5,6,7,8 || || ||
 * Day 11 || Identities || -Handouts
 * Day 12 || Review || p276-277, #1-15
 * Day 13 || **Test** ||  ||

Unit 6 - Trigonometric Functions
p290-291, #1-8,10,13 || shapes of the trigonometric functions. -Graph the basic functions and determine properties. || -Functions and determine properties || -Vertical Stretch and Vertical Slides || p299-300, #1, 3 || p310, #8i-iii, 9i-iii || Change period || -Worksheets || the horizontal stretch || -Worksheet p318, #1,2 || p309, #4,5 p319, #5-7, 8, 9 || Problem Solving using Sinusoidal Models || -Worksheet || || ||
 * Day 1 || Introduction to Periodic Functions || -Handouts
 * Day 2 || -Unwrapping the unit circle to discover the
 * Day 3 || -Complete Properties of Functions
 * Day 4 || Phase Shift || -Worksheets
 * Day 5 || Investigate Horizontal Stretches
 * Day 6 || Transformations all together including factoring
 * Day 7 || Determining the Trig Equations of Sinusoidal Functions || -Worksheet
 * Day 8 || **Transformations Quiz**
 * Day 9 || More Problem Solving || -Worksheet
 * Day 10 || Review || [[file:09.02-More Problems Using Sinusoidal Models.pdf]]
 * Day 11 || **Assessment** ||  ||

Unit 7 - Sequences and Series
p386, #14, 15 || (discuss recursive formula and explicit formula) || p392-393, #2ceh, 3bcd, 4abcd, 5bcd, 6ad, 7, 8 || Arithmetic Series || p400-401, #1c-e, 2cd, 3cd, 4cd, 5cd, 10, 11, 17 || p408-409, #1, 2ace, 3aef, 4bd, 5ab, 12 (thinking) ||
 * Day 1 || Terminology and Recursive Formulas || p370, #1ace, 3ace, 4, 5, 6, 9bcd ||
 * Day 2 || Pascal's Triangle, Binomial Expansion and Patterns || p378, #3ab, 4bc, 7, 10a ||
 * Day 3 || Arithmetic Sequences with Explicit Formula || -Worksheet
 * Day 4 || Geometric Sequences with Explicit Formula
 * Day 5 || **Quiz on Sequences**
 * Day 6 || Geometic Series || -Worksheet
 * Day 7 || Review ||  ||
 * Day 8 || **Test** ||  ||
 * Day 9 || Compound Interest with compound periods ||  ||
 * Day 10 || Finding I and R ||  ||
 * Day 11 || Present Value ||  ||
 * Day 12 || In class assignment on compound interest ||  ||