MCR3U+(Fall+2010)

Practice exam - handed out Dec 17 in class (solutions will be posted in class)
 * Final Exam: Wednesday, January 26 @ 8:30 in room S211**

Review (Part 1): p.297 #1-10; p.391 #1-17 (but not #9, 10, 11)


 * Summative Due: Wednesday, January 26 (or earlier); first draft due Wednesday, January 12**

Text: p.47 #1a, 2ad, 3ab, 5a, 11a || New handout (2 problems) Text: p.50 #18; p.57 #1a, 2ad, 3ab, 5a, 10-12 || Intro to Series - Add the numbers 1 to 100 || Handout: Simple & Compound Interest Quiz: Sequences || Intro to Pascal's Triangle || Handout: arithmetic & geometric series Examples - Arithmetic series (#1-5) p.115 #11, 13 Handout: Pascal's triangle (finish colouring) || Examples - Geometric series (#1-3) p.123 #4, 8, 12, 13 || Applications of Sequences & Series || Applications of Pascal's triangle - time to work on Summative || - Units 1-3 (Characteristics of Functions) ||  || - Units 4-6 (Exponential, Trigonometric & Discrete Functions) ||  || - stations - discuss practice exam (handed out before Christmas) ||  ||
 * Unit 6: Discrete Functions**
 * Date || Topic || Classwork/Homework ||
 * Mon, Jan 3 || Arithmetic Sequences || Handout
 * Tues, Jan 4 || Geometric Sequences || Continue handout from Monday
 * Wed, Jan 5 || Recursive Sequences || Handout and p.32 #5, 6, 9 ||
 * Thurs, Jan 6 || Simple & Compound Interest
 * Fri, Jan 7 || Arithmetic Series
 * Mon, Jan 10 || Geometric Series || Time to work on Summative
 * Tues, Jan 11 || More with Pascal's Triangle
 * first draft of summative due tomorrow* ||
 * Wed, Jan 12 || Financial Math - TVM Solver || handout ||
 * Thurs, Jan 13 || Financial Math - Annuities || handout ||
 * Fri, Jan 14 || Financial Math - Annuities || - discussion of investment and loan products (e.g. RRSPs, TFSAs, student loans, mortgages, lines of credit, consumer credit cards, good debt vs bad debt)
 * Mon, Jan 17 || Review ||  ||
 * Tues, Jan 18 || Exam Review
 * Wed, Jan 19 || Unit 6 Test ||  ||
 * Thurs, Jan 20 || Exam Review
 * Fri, Jan 21 || Exam Review
 * Mon, Jan 24 || Exam Review ||  ||
 * Unit 5: Trigonometry and Trigonometric Functions**

- right triangles (SOH CAH TOA) - non-right triangles (sine and cosine laws) - angles of elevation and depression || p.399 #3-5, 7-9 p.401 #1, 2, 4-6 || Solving Trig problems (2D & 3D) || Handouts: 1. Reciprocal trig ratios - finish example 2 2. Trig problems - finish front side examples #1-5, back side example #2 3. Online text 5.7 #5, 9; online text 5.8 #3ad, 4 || Handouts: 1. Ambiguous case of sine law - front side 2. Online text 5.6 #5ad, 8 || 3D problems - cont'd || 5.7 #5, 6 5.8 #7, 8 || Special angles handout from yesterday: #4def Handout: Trigonometric Identities (#1-3 on back of sheet) || Consolidation/Review || Handout from yesterday: Trigonometric Identities #4 More practice with identities: text p.538 #1-13 (as needed) || - developed Unit Circle using special triangles - graphed y = sinx and y = cosx from unit circle || Correct Tuesday's quiz finish graphs of y = sinx and y = cosx from unit circle || - first draft due January 12 - final draft due January 27 (at exam)
 * Date || Topic || Classwork/Homework ||
 * Mon Nov 29 || Review of Trigonometry from Grade 10 math
 * Tues Nov 30 || Reciprocal Trigonometric Ratios (cosecant, secant & cotangent)
 * Wed Dec 1 || Ambiguous case of the sine law || Finish example #3 from yesterday (Emma on bridge)
 * Thurs Dec 2 ||  || No homework ||
 * Fri Dec 3 || Ambiguous case of sine law - cont'd
 * Mon Dec 6 || Special angles || Handout: #1, 2, 3, 4abc (not #4def, 5) ||
 * Tues Dec 7 || Trigonometric identities || Quiz
 * Wed Dec 8 || Trigonometric identities
 * Thurs Dec 9 || Introduction to periodic functions
 * Fri Dec 10 || Transformations of trigonometric functions || Handout ||
 * Mon Dec 13 || Modelling/Application || Handout
 * description of course summative handed out * ||
 * Tues Dec 14 || Modelling/Application || Handout ||
 * Wed Dec 15 || Unit 5 Review || Handout ||
 * Thurs Dec 16 || Unit 5 Test ||  ||
 * Fri Dec 17 || Time to work on MCR3U course summative || Handout from Monday

__Exam Review (part 1)__: Course text (hardcover) p.297 #1-10 p.391 #1-17 (but not 9-11) ||

**Unit 4: Exponential Functions** Hmk: section 4.2 #4-15 (as needed) ||
 * Date || Topic || Classwork/Homework ||
 * Wed Nov 10 || Intro to Exponent Rules (Online 4.2) || Handout: 4.2 lesson (in package of work along with midterm review) including answers
 * Thur Nov 11 || Intro to Exponent Rules (Online 4.2) || Consolidation - reviewing work from earlier in the week

Study for midterm/finish review sheets || Hmk: section 4.3 #1-7 as needed || Handout: 4.4 lesson (plus answers for 4.3 and 4.4)
 * Fri Nov 12 || Rational Exponents (Online 4.3) || Handout: 4.3 lesson
 * Mon Nov 15 || Simplifying Expressions with Rational Exponents (Online 4.4) || Handout: Two double sides review sheets for Units 1-3 (for midterm)

Hmk: section 4.4 #2-7 as needed; 8ab, 9ab, 12 ||
 * Tues Nov 16 || Course Midterm (Units 1-3) || When finished - catch up on Rational exponent work from 4.2 to 4.4 (previously assigned) ||
 * Wed Nov 17 || Review of Rational Exponents

Handout: 4.5 lesson - completed in class 4.6 lesson - did #1, 2 in class (with graphing calculators) Homework - continue to review work with rational exponents || Transformations of Exponential Functions || Handout: 4.6 lesson - #4, 5, 9, 10 || Handout: Transformations of Exponential Functions - pages 1-2 completed in class - pages 3-4 for homework || Handout: Chapter 4 Self-Test and Chapter 4 Review (package) Applications of Exponential Functions || Quiz - Graphing exponential functions (two questions) Examples: Solving exponential equations Handout: 4.7 lesson (growth & decay) || **Unit 3: Quadratic Relations** - factored form - standard form - vertex form || - properties of quadratics || Handout: 3.2 extra practice || We did #1-3, 13, 14 together also do #4-8, finish 13, 14 || - completing the square || Continue three handouts: - midchapter review from Monday - sheet 3.2 from last week - midchapter review sheet from last week || - continued || Quadratics Quiz #1 Handout 3.3 (from yesterday): #7, 8, 12-15 More CTS practice: course text p.306 #3, 5 (optional) || - by graphing - by factoring - using quadratic formula || Handout with 3 examples (we did examples 1 & 2 today) Handout 3.5 #7, 8, 13 ,15 || Handout 3.5 #9-11 Handout 3.6 (same package as 3.5) #3bc, 4, 6 || Handout 3.7 #1-5 (homework) begin review (3 page handout) || continue with review radicals review list of topics on test || **Unit 2: Equivalent Algebraic Expressions**
 * Report Cards issued along with mark update including midterm mark* || Handout (two double-sided pages): answers for Mid-chapter review, 4.5 through 4.7, end of chapter reviews
 * Thurs Nov 18 || Review of Rational Exponents
 * Fri Nov 19 || Graphing Exponential Functions || Quiz - Working with rational exponents (four questions)
 * Mon Nov 22 || Review || Handout: Chapter 4 Mid-Chapter Review
 * note - these were handed out in class on Friday ||
 * Tues, Nov 23 || Solving Exponential Equations
 * Wed, Nov 24 || Review || Continue with Mid-Chapter review, Chapter 4 Self-Test and Chapter 4 review (handed out last Friday) ||
 * Thurs, Nov 25 || Unit 4 Test || When finished - begin Grade 10 Trigonometry review (read textbook pp.397-402; do p.399 #3-5, 7-9; p.401 #1, 2, 4-6) ||
 * Fri, Nov 26 || PD Day || No school ||
 * Date || Topic || Classwork/Homework ||
 * Fri Oct 15 || Introduction to Quadratic Relations || Graphic organizer
 * Mon Oct 18 || Intro to Quadratics - continued (3.1) || - second differences
 * Tues Oct 19 || Radicals (3.4) || handout #1 ||
 * Wed Oct 20 || Radicals (3.4) || handout #2 ||
 * Thurs Oct 21 || Max & Min || Golfing example question
 * Fri Oct 22 || Consolidation || Handout: Chapter 3 Midchapter review ||
 * Mon Oct 25 || Consolidation || Handout: "Practice questions" - Midchapter review (p.170)
 * Tues Oct 26 || Finding Maximums and minimums (3.2)
 * Wed Oct 27 || Inverse of quadratic relations (3.3) || Handout 3.2: #4-6 ||
 * Thurs Oct 28 || Inverse of quadratic relations (3.3)
 * Fri, Oct 29 || Solving quadratic equations (3.5)
 * Mon, Nov 1 || Zeros of a quadratic function (3.6) || Handout from Friday - example 3; and discuss alternate strategy for example 2b
 * Tues, Nov 2 || Families of quadratic functions (3.7) || Handout 3.6 #6, 7, 8, 11 (done within the lesson)
 * Wed, Nov 3 || Linear-Quadratic systems (3.8) || Handout 3.8 #1abd (lesson); 2d, 4d, 9 (homework)
 * Thurs, Nov 4 || Review || continue with review ||
 * Fri, Nov 5 || Unit 3 Test || students received handout package for next three classes (Mon to Wed) ||
 * Mon Nov 8 || Cumulative Review || Handout package ("Chapters 1-3 Cumulative Review" first two sheets #1-32; answers are included) ||
 * Tues, Nov 9 || Cumulative Review || Handout package ("Chapters 1-3 Cumulative Review Extra Practice"; answers included on the back of the sheet) ||
 * Wed, Nov 10 || Lesson for Exponential Functions Unit (Working with Integer Exponents) || Handout - read lesson 4.2 (examples #1-5) and then do the attached page #4-15 (answers included in handout package) ||
 * Date || Topic || Classwork/Homework ||
 * Wed, Sept 29 || Review of Polynomials || Polynomials review [[file:Polynomials review.doc]] Text: p.374 #1-8 (as needed) ||
 * Thurs, Sept 30 || Factoring Review || Factoring review: [[file:Factoring review.doc]]

Factoring with grid: Text: p.353 #3-5, 8 || - connecting restrictions to graphs - asymptotes vs holes p.382 #36, 37 || Handouts from online text: Mid-Chapter review p.107 #1-10 as needed (focus on 2, 6, 11) Section 2.4 p.113 #4-8, 12, 13, 14, 15 || Text: p.369 #3 (as needed), 4-6 (subtractions) Unit review handed out - two sheets || Handout: Unit 2 Self Test (2 sheets) ||
 * Fri, Oct 1 || Simplifying Rational Expressions - Work Period || Text: p.353 #11-15, 18 ||
 * Mon, Oct 4 || Exploring Graphs of Rational Functions || When can you cancel? handout Handout - Section 2.5 from online text (Graphs)
 * Tues, Oct 5 || Consolidation || *QUIZ* Discuss p.353 #18
 * Wed, Oct 6 || Multiplying & Dividing Rational Expressions || Text: p.359 #1-5, 7-9 (as needed), 6, 11, 13, 16 ||
 * Thurs, Oct 7 || Adding & Subtracting Rational Expressions || Text: p.369 #1,-2 (as needed), 4-6 (additions) ||
 * Fri, Oct 8 || Adding & Subtracting Rational Expressions || Factoring challenge [[file:Factoring Review – MCR3U (F10).docx]]
 * Tues, Oct 12 || Review & Consolidation || Handout: Simplifying Rational Expressions
 * Wed, Oct 13 || Review & Consolidation ||  ||
 * Thurs, Oct 14 || Unit 2 Test ||  ||

Math Autobiography Introductory Activity (Lines, Circles, Quadratics) || Lesson - Functions, Domain & Range Handout (1.1): #2, 6, 7, 12 || Yesterday's handout: #1, 3, 7, 9, 10, 11, 13, 14, 15 || Note: Recognizing functions from equations (lines, parabolas, "sideways parabolas" and circles) Note: Function Notation Handout (1.2): #1, 4, 7 || Handout (1.2): #2, 10, 15, 17 || Handout: Graphing Parent Functions Homework: Review for Friday's quiz || Note - Exploring Transformations of Parent Functions [updated with corrected slide E] || Continued graphing handout (1.6) from yesterday (Question E) Review handout & solutions (mid-chapter review page from online text) || Vertical & Horizontal Translations (package #1) Reflections (package #2) || Handout: Function Notation (chart) Handout: Transformations of Functions (8 page package) - only need ONE of the following [this handout will be used Mon-Thurs this week] a) Letter size paper: b) Legal size paper: || Vertical & Horizontal Stretches (package #3) Combinations (package #4) || Handout: Transformations of Functions (Line Segments) || Combinations (package #4 cont'd) || Discussion of Transformations (8 sheets) Quiz #2: Handout: Connecting Transformations & Function Notation Handout: Combinations of Transformations (Line Segments) || Review package handed out (4 sheets including answers) || Time in class to continue working on Friday's handouts for reivew || When finished: p.302 #3, 4, 5, 7 ||
 * Unit 1: Introduction to Functions**
 * Date || Topic || Classwork/Homework ||
 * Wed, Sept 8 || Welcome and Introduction || Timetables & Announcements
 * Thurs, Sept 9 || Functions and Relations (1.1) || Course Overview:
 * Fri, Sept 10 || Functions and Relations - continued || Lesson - Notation and mapping diagrams
 * Mon, Sept 13 || Function Notation (1.2) || Continued work on Domain & Range: Thursday's handout #1, 8, 9, 10
 * Tues, Sept 14 || Function Notation - continued || [[file:3USep14FunctionNotation.pdf]]
 * Wed, Sept 15 || Exploring Properties of Parent Functions (1.3) || Discussed yesterday's homework in detail
 * Thurs, Sept 16 || Exploring Transformations of Parent Functions (1.6) || Handout - Section 1.6 from Online text (Questions A-D)
 * Fri, Sept 17 || Exploring Transformations of Parent Functions (1.6) || *QUIZ* [[file:Quiz#1(F10).docx]]
 * Mon, Sept 20 || Exploring Transformations of Parent Functions
 * Tues, Sept 21 || Exploring Transformations of Parent Functions
 * Wed, Sept 22 || Exploring Transformations of Parent Functions
 * Thur, Sept 23 || Consolidation || Completed first 6 pages from Monday's 8 page handout ||
 * Fri, Sept 24 || Inverse Functions (package #5) || Completed last two pages from Monday's 8 page handout
 * Mon, Sept 27 || Review || Discussed invariant points and review horizontal transformations
 * Tues, Sept 28 || Unit 1 Test || Test