MCR3UW20132014

[|Course Outline] - - [|11-12 Ontario Curriculum] -  - Primary - [|Nelson Functions 11] - - - Secondary Text - [|McGraw Hill-Ryerson 11] Summative Final Task - Friday, June 13th (In-Class) Exam - Friday, June 20th @ 9:30 am [|Open Google Document] || @Tutoring Services
 * MCR3U - Grade 11 Functions**
 * Important Reminders:

Review of Linear & Quadratic Relationships || [|Mr. Sweeney's Class] MPM2D Course Notes || Complete the ESPA handouts || Also Binomial Expansion (FOIL) || MHR - p.29 # 1acf, 2ace p.31 # 8ac, 9ace, 10ae p.33 # 11ace, 12ace, 13ace || Nelson - p.88 #1 abc, 6ac, p.95 #1all, 4odd, 5a, 6a Level 4 p.96 #6b, 9, 13 p.97 Curious Math || || MHR - p.3 # 4odd, 5odd, 6odd || Nelson - p.102 #1all, 2bc, 3all, 5f Level 4 #4df, 7d, 14a || || [|Observe Quadratic Transformations in Geogebra] || See CTS Example #1 p.148 (Nelson) MHR - p.99 # 7odd, 8odd, 9odd __Level 4__ Nelson #7,11,15 ||
 * **Date** || **Topic / Lesson** || **Handouts/Extra Resources** || **Assigned Work** ||
 * || =Unit 1 - Quadratics & Review= ||  ||   ||
 * F03 || Welcome to MCR3U
 * F04 || Review: Solving Linear Systems (Substitution/Elimination)
 * F05 || Review: Factoring Quadratics
 * F06 || Review: Completing the Square (CTS)
 * F07 || Review Quiz ||  ||   ||
 * F10 || Review: Completing the Square with fractions and decimals ([[file:05 - Optimal by CTS - W2013.pdf|PDF]])

Summative Explanation ([|Details]) Summative [|Sign Up Form] ||  || Nelson - p.153 #4 MHR - p.115 # 1cegik, 3odd, 7, 14, 16 || ||  || MHR - p.115 # 2bfhl, 3bcgk, 9, 13, 15, 17 Use symmetry || More practice of CTS Intro to Radicals ||  || MHR - p.#106 (1-4)odd, p.#139 (1-7)odd || || Nelson - p.167 Level 1 - #1-3(odd) Level 2 - #4-5(odd) Level 3 - #6-7(odd), 8-12 Level 4 - #13-17 || Continued from yesterday or try Extra from Nelson || ||
 * F11 || Optimal Values using Symmetry
 * F12 || Grade 11 Assembly
 * F13 || Working with Radicals
 * F14 || Solving Quadratic Equations

MHR - p.128 # 2ace, 3ace, 4**a**ce, 12a**c** p.130 # **17**, **23**, **29**

p.177 Level 1 - #1ab, 2, 3 (use [|Geogebra]) Level 2 - #4odd (exact answers), 5 Level 3 - #6cd (both exact and rounded), 7, 8, 9, 10 Level 4 - #11, 12, 13b, 16, 17 Discriminant: p.185 Level 1-2 - 1b, 2ad Level 3 - #6-10 Level 4 - #14 || F19 || Radicals Quiz (20 min.) Intersecting Quadratics & Lines || || Worksheet + Nelson p.198 Level 2: #2,3, 4odd Level 3: #6,7,8,9 Level 4: #11,12,16 || || Worksheet + Nelson p.192 Level 1: #1,2,3 Level 2: #4ab,5,8 Level 3: #4cd,9,11 Level 4: 10,16,17 || || See Quadratics Review Handout Review Quadratics Cheat Sheet || || [|Video Tutorial: Is the Relation a Function (given Set)?] [|Video Tutorial: Is the Relation a Function (given Scatter Plot)?]  [|What is a function?] (covers multiple lessons)
 * Bolded questions have worked solutions in PDF note** || Nelson - This part is mainly review
 * F18
 * F20 || Families of Quadratics ([[file:10 - Families of Quadratics - W2012.pdf|PDF]]) || [[file:10 HO - Families of Quadratics.pdf|HO - Families of Quadratics.pdf]]
 * F21 || Review - Only 3 students in class due to buses being cancelled || [[file:98 Quadratics Review.pdf|Quadratics Review.pdf]]
 * F24 || Review - Again ||  || Do lots of questions over the weekend ||
 * F25 || Unit 1 Test - Quadratics ||  ||   ||
 * || =Unit 2 - Functions= ||  ||   ||
 * F26 || Domain & Range, Function Notation



|| Nelson Function or Not - p.10 __Level 1__ #1,2,3, __Level 2 __ #7,9 __Level 3 __ #11 Function Notation - p. 23 __Level 1 __ #1,2 __Level 2__ #4,5 __Level 3__ #9v Domain & Range - p.35 __Level 1__ #1,2 __Level 2__ #4,9,14 __Level 3__ 10b,11, 12 (use Geogebra) __Level 4__ 10c,16 MHR - p.178 # 1-3, 5, (6-10)(ad), 12, 15, 18 || F28 || Graphs of Parent Functions Transformations || <span style="font-family: 'Segoe UI','Lucida Grande',Arial; font-size: 12.800000190734863px; line-height: 1.5;">[|Video Tutorial: Graphing a Radical Function] || <span style="background-color: #ffffff; color: #444444; font-family: 'Segoe UI','Lucida Grande',Arial; font-size: 12.800000190734863px; line-height: 1.5;">MHR - p.241 # 8b, 9b, 5abd, 4abce || MHR: p.229 # 2cde, 8, 11cdf p.240 # 1ef, 2cd, 4dfgh, 5cef, 9cd || Worksheet + Nelson: Level 1: p.58 #1,2 p.70 #1,4 Level 2: p.58 (#4,5,6,7)odd p.70 #5 Level 3: p.58 #8, 10odd p.70 #6, 7, 8b,12,13 Level 4: p.58 #15 p.70 #15,17,18 || Level 1: p.160 #1,2,3 Level 2: 4bc, 5 Level 3: 4d,13,14 Level 4: 14,15,16,17
 * F27
 * M03 || Horizontal Scaling of Functions ([[file:04 - Horizontal Scaling - W2012.pdf|PDF]]) || [[file:04 Handout - Horizontal Reflect & Scaling.pdf|Handout - Horizontal Reflection & Scaling]]
 * M04 || Inverse of a Function ([[file:05 - Inverses - W2012.pdf|PDF]]) || <span style="background-color: #ffffff; color: #114488; font-family: 'Segoe UI','Lucida Grande',Arial; vertical-align: baseline;">[|Video Tutorial: Function Inverses] || Nelson

MHR <span style="background-color: #ffffff; color: #444444; font-family: 'Segoe UI','Lucida Grande',Arial; font-size: 12.800000190734863px;">p.215 # 1, 2, 3abci, 5odd, 8odd, 14(i)(iii)(v), 16(i)(iii)(v) || Quiz - Functions & Relations || || Nelson - p.70 #19, 20, Level 4 #22 MHR - p.215 # 15, 17 + any outstanding HW from unit || || Check solutions to quiz (M05) Complete all review & all homework ||
 * M05 || Equivalent Scaling between Horizontal & Vertical ([[file:06 - Equivalent Scaling - W2012.pdf|PDF]])
 * M06 || Determining Equations from Graphs ([[file:07 - Equations from Graphs - W2012.pdf|PDF]]) || [[file:07 WS - Transformations from Graphs.pdf|WS Transformations from Graphs]] || Work on the review ||
 * || MARCH BREAK ||  ||   ||
 * M17 || Review of Functions & Relations Unit 2 || [[file:98 Functions Review W2014.pdf|HO - Unit 2 Functions Review]]
 * M18 || Unit 2 Test - Functions & Relations ||  || Weekly summaries are due ||
 * || =Unit 3 - Rational Expressions= ||  ||   ||
 * M19 || Equivalent Expressions ([[file:01 - Equivalent Expressions - W2012.pdf|PDF]]) || [[file:01 HO - Equivalent Rational Expressions.pdf|HO - Equivalent Rational Expressions]]
 * 1) MHR - p.40 # 1 - 3 (odd) (fundamentals - optional) # 4 - 6 (odd), 8, 13, 15, 16 || # Complete the handout and the worksheet
 * 2) Nelson – p.112 #1,2b,3a,b,5bcdf,7a,10bd,12,13,14a(i) & copy the "In Summary" table on p. 116 & Do Ques. p.116 #1-3 ||
 * M20 || Multiplying & Dividing Rational Expressions ([[file:02 - Multiplying & Dividing - W2012.pdf|PDF]]) || MHR - p.50 # 5ad, 6adgh, 7ae, 8ab, 18

[|Khan Academy Video Tutorial - Multiplying & Dividing Rational Expressions] || Nelson - p.121 __Level 1__: 1, 2bcd __Level 2__: 3, 4cd, 5bd __Level 3__: 6, 7, 8 __Level 4__: 9, 10, 11, 12 ||
 * M21 || Adding & Subtracting Rational Expressions ([[file:03 - Adding & Subtracting - W2012.pdf|PDF]]) || [[file:03 - ExamView - WS - Practice Add Subtract Multiply Divide.pdf|WS - Practice Add Subtract Multiply Divide Rationals (10 copies w solutions)]]

MHR - p.58 # 1c, 4c, 5g, 6ac, 10 p.67 # 5c, 6ace, 8ace || Worksheets & Nelson - p.128 __Level 1__: 1ac, 2d,3ac, __Level 2__: 5c,6def,7bce,8, __Level 3__: 9, 10ad __Level 4__: 11 || MHR - p.68 #10aceg, 14adf || Nelson - See example p. 131. Do question p.133 #13b, 15f & Worksheet & Two extra at end of note (see note PDF) || MHR - p.69 #12, 13 p.51 #10 p.42 #11 || Complete Handout & Nelson – p.130 __Level 3__#12,13,14 __Level 4__ #16 || M27 || Review (Work Periods) || ||   || Nelson - Appendix A-3 p.545 Do Questions p.546 #1-3(odd) || Level 1 - p.221 #1-3(odd) Level 2 - p.221 #4-8(odd) Note: "rational form" means leave answers with no negative exponents and not as a radical Level 3 - p.221 #13,18(odd) || Level 4: #17,18 || || Complete **HO Activity - Exponential Relationships -** See answers || Graphing Exponentials with Transformations || || Complete the HO & WS || A07 || Determining Exponential Equations from Graphs || || Complete all **HO & WS** __Extra__ Nelson - p. 251 __Level 1:__ #1,2,3 (odd) __Level 2:__ #4c,5ab,9 __Level3:__ #10 __Level 4__ #12,13 || A09 || Applications Involving Exponential Functions (Part I) || [|Khan Academy Video - Exponential Growth & Decay] || Complete the handout __Extra__ Nelson - p. 252 #7, Example 4 p.259, p.261 #3, 4,6 || Start to Review || <span style="background-color: #ffffff; color: #444444; font-family: 'Segoe UI','Lucida Grande',Arial; font-size: 12.800000190734863px; line-height: 1.5;"> || Nelson - p.274 #1-7 More Trig Review - Appendix A-16 - p.572 (Right Triangles) More Trig Review - Appendix A-17 - p.575 (Acute Triangles) Try any of the problems in these Appendices. This material represents the basic concepts taught in Grade 10 and needs to be very familiar for you to do well in this unit. Come see me immediately if you need a refresher! || || You may need Sine Law as well Extra - Nelson - p. 332 #1, 3ad, 5, 6, 8 __Level 4:__ #7 || MHR - <span style="background-color: #ffffff; color: #444444; font-family: 'Segoe UI','Lucida Grande',Arial; font-size: 12.800000190734863px;">p.272 # 11, 12, 13, 16, 19 || For tomorrow: #15 || Sine Law p.318 1,2,4,6,8,15 Cosine Law p.327 #3,4c,8,12 More 3D problems p.335 #14,15 || || [|Geogebra Applet - Ambiguous Cases]
 * M24 || Order of Operations with complex expressions ([[file:04 - BEDMAS - W2012.pdf|PDF]]) || [[file:04 WS - BEDMAS Rational Functions.pdf|WS - BEDMAS Rational Functions (w answers)]]
 * M25 || Applications of Rational Functions ([[file:0506 - Applications - W2012.pdf|PDF]]) || [[file:06 WS - Applications of Rational Expressions - single page.pdf|HO - Applications of Rational Expressions]]
 * M26
 * M28 || Unit 3 Test ||  || Review of Exponent Laws (Basics)
 * || =Unit 4 - Exponential Functions= ||  ||   ||
 * M31 || Exponent Laws ([[file:01 - Review Laws - W2012.pdf|PDF]]) || MHR - p.9 #1-9(odd), 12, 16 || Need to know: Chapter 4.2 - See "in summary" on p.221
 * A01 || Rational Exponents ([[file:02 - Rational Exponents - F2012.pdf|PDF]]) ||  || Nelson p.229 # (1-6)(odd), 8, 10, 12, 14
 * A02 || Activity - Exponential Relationships ([[file:03 - Activity - Graphing Exponential Relationships.pdf|PDF]]) || [[file:03 WS - Activity - Exponential Relationships.pdf|WS - Activity - Exponential Relationships]]
 * A03 || Quiz Exponent Laws & Rational Exponents
 * A04
 * A08
 * A10 || Applications Involving Exponential Functions (Part II) ([[file:09 - Applications Pt 2 - HL & DP - W2012-2013.pdf|PDF]]) || [[file:11 HO - Doubling Period & Half-Life.pdf|HO - Doubling Period & Half Life]] || Complete problems on the handout
 * A11 || Review || [[file:98 Exp func review - SS (Nelson).pdf|HO - Exponential Functions Review (w answers)]] || See Review Handout ||
 * A14 || Unit 4 Test ||  ||   ||
 * || =Unit 5 - Trigonometry= ||  ||   ||
 * A15 || Review of Grade 10 Trig ([[file:01 - Review - W2012-2013.pdf|PDF]]) || Extra - MHR - <span style="background-color: #ffffff; color: #444444; font-family: 'Segoe UI','Lucida Grande',Arial; font-size: 12.800000190734863px; line-height: 1.5;">p.272 # 1­-10(odd), 11, 12
 * A16 || Applications of Trig.
 * A17 || Angles in the Cartesian Plane ([[file:03- Angles - W2012-2013.pdf|PDF]]) || [[file:03 WS - RAA and coterminal angles - Basics.pdf|WS - Angles in Cartesian Plane (w answers)]] || Complete the worksheet ||
 * || Easter Break ||  ||   ||
 * A22 || CAST rule ( [[file:mrlinseman/04 - CAST rule any angle - W2012-2013.pdf|PDF]] ) || [[file:04 HO CAST Rule.pdf|HO CAST Rule]] || p.299 #1-5(odd), 8, 9
 * A23 || Review Sine Law & Cosine Law ([[file:05 - Review Sine & Cosine Laws - W2012-2013.pdf|PDF]]) || Extra MHR p.290 #[1-3], 4de, 5ac, 6, 8, 9, 10, 14 || Nelson -
 * A24 || Sine Law Ambiguous Case

Extra MHR p.308 # 1ace, 2ae, 3cg, 4, 8, 12, 13 || Review Ex.1 & 2 from p.312

Review the "In Summary" on p.317 Nelson: p.318 #2,3abc,5abcd,6,9,10,11 || Extra MHR - p.348 # 3 || Complete the worksheet Nelson - p.287 #4bc,5ab,7bc,8,11b,12c only || Extra: MHR p.398 # 2odd, 4odd, 7odd || Nelson - p.310 #1bd,5bd,8abc, __Level 4__:p.310 #8de,12,14 || M02 || Review || || Work on review and past homework || Nelson - p.352 #1,2,3,4,5,7,8,**9** || || Nelson - p.363 #2,3,4,7,9,11,12,13 || || Complete the WS - Transformations MHR p.374 #1ad, 3ade, 6abe. p.387 #1abceh, 3ad || Nelson p.383 #1, 2, 3, 4, 5, 7 MHR ­ p.374 # 2ace, 12bc MHR ­ p.387 # 2abdeg, 3bd, 5abc, 6ab, 10ab || Work on WS problems until you are proficient ||
 * A25 || Special Triangles ([[file:08 - Special Triangles - W2012-2013.pdf|PDF]]) || [[file:08 WS - Special Triangles & Exact Values v2.pdf|WS - Special Triangles & Exact Values (w answers)]]
 * A28 || Trig. Identities Part I ([[file:09 - Identities - W2012-2013.pdf|PDF]]) || Complete the worksheets
 * A29 || Trig. Identities Part II ([[file:10 - Identities 2 - W2012-2013.pdf|PDF]]) || [[file:09 WS - Trig Identities (answers).pdf|WS - Trig. Indentities (answers)]] || Complete the worksheets (3.3 & 3.4) - See answers. Work on review handout too from last week ||
 * A30
 * M05 || Unit 5 Test ||  ||   ||
 * || =Unit 6 - Periodic Functions= ||  ||   ||
 * M01 || Periodic Functions Intro ([[file:01 Periodic - Intro - W2012-2013.pdf|PDF]]) || [[file:01 HO Intro to Periodic Functions.pdf|HO Intro to Periodic Functions]] || See handout
 * M06 || The Unit Circle ([[file:02 - Unit Circle - W2012-2013.pdf|PDF]]) || [|Geogebra Applet - The Unit Circle]
 * M07 || Transformations of Sine and Cosine Curves ([[file:03 - Transformations - W2012-2013.pdf|PDF]]) || [[file:03 WS - Transformations of Trig Fcns v2.pdf|WS - Transformations of Trig Fcns]]
 * M08 || Transformations of Sine and Cosine using Key Features ([[file:04 - Transformations Part 2 - W2012-2013.pdf|PDF]]) || [[file:04 WS - Transformations of Trig Fcns.pdf|WS - Transformations of Trig Fcns Part 2]] || Worksheet
 * M09 || Mid-Unit Review || [[file:04 BR - Periodic Functions - Graphs & Transforrmations v3 (10 copies).pdf|WS - Periodic Functions - Graphs & Transformations (10 copies) (w answers)]] || Complete homework from previous lesson
 * M12 || Determining Periodic Equations from Graphs ([[file:05 - Equations from Graphs - W2012-2013.pdf|PDF]]) || [[file:05 WS - Determining Equations of Trig Functions.pdf|WS - Determining Equations of Trig Fncs]]

Extra: MHR - p.375 # 7ab, 8b || Worksheet (Determing all 6 equations)

Nelson - p.391 #1,2,3,4,5ab,6cd,7 Level 3 - #11 || <span style="background-color: #ffffff; color: #114488; font-family: inherit; font-size: 12.800000190734863px; vertical-align: baseline;">[|Geogebra Applet - Transformations of the Cosine Function] || Work on Review || M16 || Unit Review Work Period || || See Handout
 * M13 || Applications of Periodic Functions ([[file:06 - Applications - W2012-2013.pdf|PDF]]) || [[file:06 HO Applications of Sinusoidal Functions.pdf|HO Applications of Sinusoidal Functions]] || p. 398 #1-10 ||
 * M14 || More application problems || <span style="background-color: #ffffff; color: #114488; font-family: inherit; font-size: 12.800000190734863px; vertical-align: baseline;">[|Geogebra Applet - Transformations of the Sine Function]
 * M15

Think about re-test || MHR p.452 # [1­4][basics], 5­7(adf), 9, 13, 18 || Nelson Review p.423 "In Summary" Yesterday's homework + p.425 #15, Review p.429 "In Summary" p.430 #1-6,11,16,17 || M26 || Recursive Sequences Quiz - Sequences || MHR: p.461 #[1-5] basics, 8, 9, 10, 12 || More on this lesson to come on Monday... Practice for quiz for Monday
 * M20 || Unit 6 Test ||  ||   ||
 * || =Unit 7 - Sequences & Series & Financial Applications= ||  ||   ||
 * M21 || Patterns & Sequences ([[file:01 - Patterns - W2012-2013.pdf|PDF]]) || MHR p.433 #1ace, 2ace, 3bdgk, 5a, 8 || Nelson p.424 #1-4,6,8,10, 14 ||
 * M22 || Arithmetic & Geometric Sequences ([[file:02 - Arith & Geo - W2012-2013.pdf|PDF]]) || MHR p.441 # [1­4][basics], 5­8(adg), 9, 12, 15, 18
 * M23

Nelson Review Example 3 and 4 on p.436 Do questions p.439 #2, 7 & p.447 #1,2,4 Level 4 p.432 #22 Also, Expand (a - b)^5, (2x + 5y)^4 || p.476 #1ac, 2ac, 3ac, 4, 12a, 17 || Nelson: Arithmetic: Review p.451 "In Summary" & Do Ques. p.452 #1-3, 4ae, 5ace, 6f, 7cf, 15 Geometric: Review p. 459 "In Summary" & Do Ques. p.459 #1,2,4cd, 9 || M29 || Applications Involving Arithmetic & Geometric Sequences & Series Quiz - Series || MHR p.443 # 15, 18, 25, 33* p.454 # 11, 20 p.470 # 9, 16, 25* p.477 # 10, 16* || Nelson Using Pascal's Triangle: p.466 #4 p.453 #10,11,13,15 p.460 #7,9,10,11,16 || Compound Interest: p.490 #1, 4ab, 6,15,16 || J03 || Future & Present Value Problems || MHR p.523 # [2], 6, 7, 9, 10, 15 || Ch. 8.2 p. 491 #4cde, 10, 11 Ch. 8.3 p.498 #2, 4, 5, 8, 13, Complete the WS || MHR p.541 # 8, 10 || Nelson FV Annuities: p.511 #2,3,6,8,12 PV Annuities: p.520 #3,4,6,7,12,18 || p.567 # 8, 13 || Nelson p. 530 #4, 7, 13 Consider a mortgage of $200 000 amortized over 25 years. The bank offers a 5.25% interest rate compounded semiannually for a 10 year term. a) Calculate the equivalent interest rate. b) Determine the monthly payment. c) Determine the total amount paid in 10 years. d) Determine the total interest paid in 10 years. || Complete summative weekly summaries and challenge questions ||
 * M27 || Arithmetic & Geometric Series ([[file:04 - Series - W2012-2013.pdf|PDF]]) || MHR: p.469 #2ac, 3ac, 4a, 7a, 20
 * M28
 * M30 || Simple & Compound Interest ([[file:06 - Simple & Compound - W2012-2013.pdf|PDF]]) ||  || Simple Interest: p. 481 #1,2,3,4,6,7
 * J02
 * J04 || Annuities ([[file:08 - Annuities - W2012-2013.pdf|PDF]]) || MHR p.531 # 7, 8, 9, 10
 * J05 || Mortgages ([[file:09 - Mortgages - W2012-2013.pdf|PDF]]) || MHR p.541 # 9
 * J06 || Unit Review || [[file:MCR3U U7 Review 2014.pdf|Unit 7 Review (w answers)]] || Work on the review
 * J09 || Unit 7 Test ||  || Prepare for the summative by completing your weekly summaries and challenge questions. Last chance. ||
 * J10 || Summative Task Day 1 || [[file:CulminatingTask (Part 4 - LastTwoDays).pdf|HO - Culminating Task (Last two days)]]

|| || J12 || Exam Review ||  || # ** Work on Summative Review for Friday ** J16 J17 J18 || Summative Task Day 2 || Skill Testing / Mastery Handouts [|SkillTest - RationalExponents] || Review for Exam Practice [|Skills] ||
 * J11
 * 1) ** Work on Exam Review **
 * 2) [|Open Google Document] - For posing questions and helping others ||
 * J13
 * J19 || Extra Help Available All Day ||  ||   ||
 * J20 || Exam ||  ||   ||