Chapter 4 - Quadratic Relations

This chapter introduces methods for analysing non-linear relations that can be characterized by an arch-shaped curve. This curve is seen in nature, art, and architecture. This type of non-linear relation is analysed by engineers to design bridges, by physicists to track the path of projectiles, and by analysts to maximize profit or predict trends in the consumer market.

As usual, this outline is subject to change without notice. Attend class for the most up-to-date version. 
Topic Homework  Notes
GET READY  (review of necessary skills)

    Intro to Exponents (video)

Read & Do:  Pg. 162-163   On your own time.
Lesson 10 (4.6) - Negative and ZeroExponents

    

Read: Pg. 194-199
Do: Pg. 199-201  #1-4, 8, 19 

Online Quiz

Fri.
Mar. 24th
Lesson 11 (4.1) - Non-Linear Relations

    Blank Notes File
    Linear vs. Non-Linear (playlist)
Read: 164-166
Do: Pg. 166 – 167  # 1–3

Online Quiz

Mon. Mar. 27th
Lesson 12 (4.2) - Quadratic Relations

    Mr. Brash's old videos {playlist}
        (ignore the homework at the end of the videos)
    Old Notes (from above video)


Read: 168-171
Do: Pg. 172-173  # 1abc (graph by hand), 3, 5 (graph using Desmos), 9 (graph using Desmos)

Online Quiz

Tues. Mar. 28th
 Quiz for 4.6, 4.1 & 4.2In Class 
Lesson 13 (4.3) - Investigate Transformations of Quadratics

    Link to investigation (Desmos)
    Polygraph: Quadratics (class code: EHRJB)


    Mr. Brash's older video for this topic  (notes)

Two days

Read: 174-178
Do: Pg. 178–179  # 1–3, 4acef, 6–8

Online Quiz

Wed. Mar. 29th
&
Fri.
Mar. 31st
Lesson 14 (4.4) - Modelling y = a(x - h)2 + k

        Graphing Vertex Form
        Practice Graphing Vertex Form

        Mr. Brash's older video for this topic (notes)


Read: pg. 180-185
Do: Pg. 185–186  # 1bdfh, 2bdfh, 3–5, 6–11, 12 (use Desmos to graph)


Online Quiz

Mon. Apr. 3rd
Lesson 15 (4.5) - Factored Form

    Mr. Brash's older video for this topic 
       [updated blank notes]


Read: Pg. 189–191
Do:  Pg. 192-193  # 1, 2, 3bc, 4acd, 5–10

Online Quiz

Tues. Apr. 4th
 Review for the test (Wed. & Thurs.)

Friday, April 7th

Review Pg. 202-203 # 1, 2, 3, 4, 5, 6 (also describe the transformations applied to the graph of y = x2), 7, 8 (use Desmos to graph), 9 

Practice Test Pg. 204 – 205 # 1-5, 7, 10 (use Desmos)

Review Practice