MPM2D+(Fall+2010)

**Final Exam: Tuesday, January 25 @ 8:30 am in room S211** Review: p.219 #1-11 (not 6) and p.431 #1-10 **Practice Exam #1: ** **Unit 5: Trigonometry** Dp p.461 #4, 6, 7 || - angle of elevation - angle of depression || p.486 #4 p.509 #10, 15 p.523 #13a p.524 #15, 17, 18 || p.550 #6, 10, 15 || p.551 #18, 20 Hmk:p.556 #5, 7, 10, 12 p.566 #7, 9, || Quiz || - stations and problem set ||  || - stations and problem set ||  || Quadratics re-test ||  || **Unit 4: Graphing & Modelling Quadratic Relations** p.363 #1, 2, 7 || p.365 #10-13, 16 || p.351 #1-3, 5, 6
 * Date || Topic || Classwork/Homework ||
 * Fri, Dec 17 || Similar and Congruent Triangles || Read pp.457-460
 * Mon,Jan 3 || Solving Problems Similar Triangles || p.475 #7, 8, 11, 12, 13 ||
 * Tues, Jan 4 || Trigonometry of Right Triangles || p.496 #2-9 (as needed) ||
 * Wed, Jan 5 || Solving Problems || p.498 #20, 27-30, 26cgh ||
 * Thurs, Jan 6 || Solving Problems
 * Fri, Jan 7 || Sine Law
 * First Practice Exam handed out in class* || Quiz
 * Mon, Jan 10 || Cosine Law || Class examples:
 * Tues, Jan 11 || Applications of Trigonometry || p.574 #2, 3, 5, 9, 10, 17, 18
 * Wed, Jan 12 || Unit 5 Review || p.526 #1-7; p.586 #1-10 ||
 * Thurs, Jan 13 || Unit 5 Test - Similar Triangles & Trigonometry ||  ||
 * Fri, Jan 14 || Quadratics Review
 * Mon, Jan 17 || Analytic Geometry Review
 * Tues, Jan 18 ||  ||   ||
 * Wed, Jan 19 || Summative - day 1 (planning)
 * Thurs, Jan 20 || Summative - day 2 ||  ||
 * Fri, Jan 21 || Practice Exam #2 ||  ||
 * Mon, Jan 24 || Review ||  ||
 * Date || Topic || Classwork/Homework ||
 * Thurs, Nov 25 || Transformations of Quadratic Relations (4.3) || Investigating Transformations of Quadratic Relations (Using TI-83 graphing calculator)
 * Fri Nov 26 ||  || PD Day ||
 * Mon Nov 29 || Transformations of Quadratic Relations (4.3) || Discussion of p.363 #7
 * Tues Nov 30 || Vertex Form of a Quadratic Relation (4.2) || Vertex form:

Writing equations (modelling): p.351 #7, 10 || p.355 #21; p.356 #24 (hand in for feedback) || - partial factoring || p.376 #4, 6, 7, 11, 15, 18, 19 || pp.13-14 || p.390 #4efg, 8bcd || - quadratic formula || Using the TI-83 graphing calculator - to find vertex: p.383 a-f - to find zeros: p.272 a-f
 * Wed Dec 1 || Modelling Quadratic Relations (4.2) || p.352 #11, 12, 13
 * Thurs Dec 2 || Using symmetry to relate standard form to vertex form (4.4)
 * Fri Dec 3 || Determining maximum & minimum values algebraically: Completing the square (4.5/4.6) || Algebra tiles (handout from Unit 3)
 * Mon Dec 6 || Determining maximum & minimum values algebraically: Completing the square (4.6) || Connecting completing the square with tiles to algebraic method
 * Tues Dec 7 || Solving quadratic equations (4.7)

p.403 #6bcde (find zeros - don't solve) review sheet #1, 2 || - real and imaginary roots Consolidation || Continued working on p.429 #1-12 Also, discussed discriminant (b^2-4ac) - read p.399 if you were away today; then read example 4 on p.402 Do p.403 #5 || Start review: pp.418-428 #1-18 as needed (but not #11) Practice task - handout (due Wednesday) || p.424 #12 (finding vertex by CTS) Continue review and practice task from Friday || p.431 #1-10 || do p.461 #4, 6, 7
 * Wed Dec 8 || Solving quadratic equations (4.7) || p.429 #1-12 (due Friday) ||
 * Thurs Dec 9 || - discriminant
 * Fri Dec 10 || Chapter 4 Review || Problem Set - handout
 * Mon Dec 13 || Chapter 4 Review || p.427 #17 (finding roots)
 * Tues Dec 14 || Unit 4 Test || Practice task due Wednesday ||
 * Wed Dec 15 || Consolidation - Quadratic Functions || Test corrections
 * Thurs Dec 16 || Consolidation - Quadratic Functions || Three word problems done in class (handout) ||
 * Fri Dec 17 || Start Unit 5: Similar & congruent triangles || Read p.457-460

__Begin course review__: Analytic Geometry: p.219 #1-5, 7-11 Quadratic Functions: p.431 #1-10 || **Unit 3: Introduction to Quadratic Relations (text reference - Chapter 3)** Discussed three sets of data (blood alcohol, bacteria growth, falling water) - p.246 of text Note: Introduction to Quadratic relations - first & second differences p.254 #1bd, 2bd, 3bd, 4b, 5, 9, 12, 19 || p.266 #1-6, 8 || Zeros of Quadratic relations (3.4) || rewrite last page of Unit 2 test p.280 #1-3 || Lesson examples: p. 281 #9af, 13, 14 Classwork/homework: p.281 #7bd, 9bcd, 12, 16 || Algebra tiles handout pages 8-11 ||
 * Date || Topic || Classwork/Homework ||
 * Fri, Oct 22 || Intro to Quadratics || Oil Spill activity ||
 * Mon, Oct 25 || Intro to Quadratics (continued) (3.1) || Consolidated Oil Spill activity
 * Tues Oct 26 || Properties of Quadratic relations (3.2) || Graph y = x^2 and y = x^2-4 and y= -(x-2)^2
 * Wed Oct 27 || Took up unit 2 test (in detail)
 * Thurs Oct 28 || Zeros of Quadratic relations (3.4) || p.281 #4bd, 5ace, 7acfh, 8bd ||
 * Fri Oct 29 || Finding "a" value || Quiz #1
 * Mon Nov 1 || Introduction to algebra tiles - multiplying binomials || Algebra tiles handout pages 1-7 ||
 * Tues Nov 2 || Factoring quadratics and expanding binomials (with algebra tiles) || Quiz #2
 * Wed Nov 3 || Factoring quadratics and expanding binomials (with the grid) || Continued with algebra tiles package (up to page 12)

Consolidation note - connecting the equations of quadratic relations to graphs (factored form gives the zeros; standard form gives the y-intercept); connecting factored form to algebra tiles and the "grid"

Time to work on Unit 2 Review Questions (APP): a) Circle questions: p.207 example; p.208#6; p.218 #2 b) centroid questions: p.214 example; p.195 #8, 12 c) circumcentre questions: p.195#10, 14; p.215 #18 d) distance between a point and a line questions: p.129 example 3; p.215 #20; p.196 #15, 22a || then do p.307-308 #1-9 as needed || then do pp.323-329 #1, 3-9 || More work if needed: p.337 #1-6 || - definitions, question types, diagrams, etc. || Hmk: p.298 #7, 8bcd, 9, 15 || Handout: Common factoring || Factoring review handout (do #1-10) || - continue review sheets handed out Thursday & Friday also (from earlier in unit): - pp.323-329 #1, 3-9 - pp.330-332 #11-14 - p.337 #1-6 || **Unit 2: Analytic Geometry (****text reference - Chapter 2)** p.173 #2ah, 4, 6, 14 (from vertex J only) || p.176 #5 then 2, p.177 #1 || Hmk: p.195 #8 || circumcentre - intersection of two perpendicular bisectors || Lesson: p.195 #11 (example problem) Hmk: p.195 #10 || p.203 #1-3, 7, 10, 11
 * Thurs Nov 4 || Consolidation - quadratic relations || two factoring sheets (factoring with the grid) ||
 * Fri Nov 5 || Unit 2 Retest (3 Application Questions) || Homework: finish the algebra tiles package (pages 1-12) and the two factoring sheets (grid) ||
 * Mon Nov 8 || Factoring review || Students read text pp.305-306 examples 1 & 2
 * Tues Nov 9 || Unit 3 review || Students read text pp.321-329 (including examples)
 * Wed Nov 10 || Unit 3 review || Students do pp.330-332 #11-14
 * Thur Nov 11 ||  || Three handouts - review ||
 * Fri Nov 12 ||  || Three handouts - review
 * homework: study page for quadratics unit (one side)
 * Mon Nov 15 || Quadratics in Standard form || Lesson: p.298 #8a, 10a, 17a, 13
 * Tue Nov 16 || Solving Problems (3.9) || Quiz ||
 * Wed Nov 17 || Common factoring || p.308 #10-14, p. 284 #16
 * Thur Nov 18 || Factoring review || Quiz
 * Fri Nov 19 || Solving Quadratic Equations (3.9) || p.315 #1-3 (as needed), 6af, 8, 9, 12 (note: 8, 9, 12 are APP questions) ||
 * Mon, Nov 22 || Unit Review || handout (given out on Monday) ||
 * Tues, Nov 23 || Unit Review || Consolidation
 * Wed, Nov 24 || Unit 3 Test ||  ||
 * Date || Topic || Classwork/Homework ||
 * Wed, Sept 29 || Getting ready - Grade 9 review Distance from origin to a point (2.3) || p.142 #3, 5, 7, 8 p.151 #3, 6 ||
 * Thurs, Sept 30 || Distance between two points (2.5) || <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">p.151 #11, 14 p.162 #2cfk, 6i, 7, 9, 11 ||
 * <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Fri, Oct 1 || <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Consolidation || <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">p.162 #8, 11, 12, 19 ||
 * <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Mon, Oct 4 || <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Equation of a circle (2.4) || <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">p.155 #1-5, 7, 8, 10, 15 ||
 * <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Tues, Oct 5 || <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Midpoint of a line segment - equation of median (2.7) || <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">*Quiz #3*
 * <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Wed, Oct 6 || <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Midpoint of a line segment - equation of a perpendicular bisector (2.7) || <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">p.173 #15 if absent read example 2 on page 172 (perpendicular bisectors) ||
 * <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Thurs, Oct 7 || <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Unit 1 Task || <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">review for quiz tomorrow - medians & perpendicular bisectors ||
 * <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Fri, Oct 8 || <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Classifying shapes on the coordinate plane (2.8) || <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">*Quiz #4* [[file:Q4 Midpoints (F10).docx]] Investigation in groups:
 * <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Tues, Oct 12 || <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Classifying shapes on the coordinate plane (2.8) || <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">p.182 #3, 12, 10, 11ac, 13ad ||
 * <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Wed, Oct 13 || <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"><span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Solving problems (2.10) centroid - intersection of two median lines || <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">*Quiz #5* <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">[[file:Q5 Median&PerpBis.doc]] Lesson: p.195 #12 (example problem)
 * <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Thurs, Oct 14 || Solving problems (2.10)
 * <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Fri, Oct 15 || <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Verifying geometric properties (2.11) <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">- midsegments (line segment connecting two adjacent midpoints) || *Quiz #6*

Unit 2 Review: p.218 #1-8 (not 6c) p.206-217 #17,18, 20, 22, 23 (can also do others from #1-23 but not 19) || Homework: p.197 #22 plus continue review assignment || (Panther Prowl) || Continue review assignment from Friday ||
 * Mon, Oct 18 || Distance between a point and line (2.9) || Lesson example: p.196 #15
 * Tues, Oct 19 || Review
 * Wed, Oct 20 || Review ||  ||
 * Thurs, Oct 21 || Unit 2 Test ||  ||

- Money Problems || Handout: Solving Problems using Two Variables Note: Modelling with Linear Equations (1.1) Text: p.50#1ac, 2a Handout: Modelling with Linear Equations Sheet: #1-5 Text: pp.51-53 #9, 11, 13, 16 (Money Problems) || - Distance, Speed & Time Problems - Mixture Problems - Break Even Problems || Handout: Modelling with Linear Equations (2nd sheet) Sheet: #9-16 || Text: pp.51-53 #20, 26 (Money Problems)
 * Unit 1: Systems of Equations (text reference - Chapter 1)**
 * Date || Topic || Classwork & Homework ||
 * Mon, Sept 13 || Writing Linear Equations (1.1)
 * Tues, Sept 14 || Writing Linear Equations (1.1)
 * Wed, Sept 15 || Introducing Linear Systems - Ways that Two Lines Can Intersect (1.5) || Took up Tuesday's sheet (#9-16)
 * 18, 19 (Distance, Speed & Time Problems)
 * 15, 17 (Mixture Problems)
 * 10, 14 (Break Even Problems)

Introduction to the TI-83 graphing calculator p.65 a-f || <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">p.70 #2-4, 5abcei, 7abc, 20, 21, 22 <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Determining points of intersection using the TI-83 graphing calculator p.75 a-f || p.60 #4, 5bc, 9bdf, 10 (by hand) You may check your answers using graphing calcs || Class examples p.93 #14,11 || p.92 #12agi, 16, 17, 18, 20 || p.101 #2ace, 3ace, 7, 11, 12 || p.102 #10 || Discussion of p.118 #1-14 || Extra Review can be found on pp.119-131 #1-25 Sample problems are included ||
 * Thurs, Sept 16 || Using the TI-83 Graphing Calculator to Solve Linear Systems (1.4, 1.6, 1.7) || Handout: Investigating Ways that Two Lines can Intersect
 * Fri, Sept 17 || Solving Linear Systems by Graphing (by hand) (1.3) || *QUIZ #1*
 * Mon, Sept 20 || Solving by Substitution (1.8) || p.92 #7ac, 8bcf, 9, 10 ||
 * Tues, Sept 21 || Consolidation
 * Wed, Sept 22 || Solving by Elimination (1.9) || Quiz #2:
 * Thurs, Sept 23 || Consolidation (including systems with fractions and polynomials) || p.92 #12c, p.101 #6acegi
 * Fri, Sept 24 || Practice Task - Consolidation || Review p.137 #1-10 ||
 * Mon, Sept 27 || Review
 * Tues, Sept 28 || Unit 1 Test ||  ||

<span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Review** <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Review - graphing lines || <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">First day welcome & activity: <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">First day activity handout: <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> || <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> || <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Practice Task (to be continued throughout Unit 1) <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> ||
 * <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Date || <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Topic || <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Classwork & Homework ||
 * <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Wed, Sept 8 || <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Introduction
 * <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Thurs, Sept 9 || <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Review - graphing lines || <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Handout: Review Graphing Lines
 * <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Fri, Sept 10 || <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Review & preview || <span style="display: block; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Continue review from yesterday

Unit 3: Quadratics (Part 1)

Unit 4: Quadratics (Part 2)

Unit 5: Trigonometry