Unit 3: Introduction to Quadratic Relations (text reference - Chapter 3)

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
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

Tues Oct 26

Properties of Quadratic relations (3.2)

Graph y = x^2 and y = x^2-4 and y= -(x-2)^2
p.266 #1-6, 8

Wed Oct 27

Took up unit 2 test (in detail)
Zeros of Quadratic relations (3.4)

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

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
then do p.307-308 #1-9 as needed

Tues Nov 9

Unit 3 review

Students read text pp.321-329 (including examples)
then do pp.323-329 #1, 3-9

Wed Nov 10

Unit 3 review

Students do pp.330-332 #11-14
More work if needed: p.337 #1-6

Thur Nov 11

Three handouts - review

Fri Nov 12

Three handouts - review

homework: study page for quadratics unit (one side)

Unit 1: Systems of Equations (text reference - Chapter 1)

Date

Topic

Classwork & Homework

Mon, Sept 13

Writing Linear Equations (1.1)
- 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)

Tues, Sept 14

Writing Linear Equations (1.1)
- Distance, Speed & Time Problems
- Mixture Problems
- Break Even Problems

Handout: Modelling with Linear Equations (2nd sheet)
Sheet: #9-16

Wed, Sept 15

Introducing Linear Systems - Ways that Two Lines Can Intersect (1.5)

Took up Tuesday's sheet (#9-16)
Text: pp.51-53 #20, 26 (Money Problems)
#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

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

Final Exam: Tuesday, January 25 @ 8:30 am in room S211Review: p.219 #1-11 (not 6) and p.431 #1-10Practice Exam #1:Practice Exam (Jan10).doc

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Unit 5: TrigonometryDp p.461 #4, 6, 7

- angle of elevation

- angle of depression

p.509 #10, 15

p.523 #13a

p.524 #15, 17, 18

*First Practice Exam handed out in class*

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 Relationsp.363 #1, 2, 7

p.365 #10-13, 16

p.351 #1-3, 5, 6

Writing equations (modelling):

p.351 #7, 10

p.355 #21; p.356 #24 (hand in for feedback)

- partial factoring

pp.13-14

p.390 #4efg, 8bcd

- quadratic formula

- to find vertex: p.383 a-f

- to find zeros: p.272 a-f

p.403 #6bcde (find zeros - don't solve)

review sheet #1, 2

- real and imaginary roots

Consolidation

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

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)

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

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

- homework: study page for quadratics unit (one side)

- 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

Hmk: p.195 #10

p.203 #1-3, 7, 10, 11

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)

Unit 1: Systems of Equations (text reference - Chapter 1)- Money Problems

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

Sheet: #9-16

Text: pp.51-53 #20, 26 (Money Problems)

#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

p.70 #2-4, 5abcei, 7abc, 20, 21, 22

Determining points of intersection using the TI-83 graphing calculatorp.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.101 #2ace, 3ace, 7, 11, 12

p.102 #10

Discussion of p.118 #1-14

Sample problems are included

ReviewReview - graphing lines

First day activity handout:

Practice Task (to be continued throughout Unit 1)

Unit 3: Quadratics (Part 1)

Unit 4: Quadratics (Part 2)

Unit 5: Trigonometry