Chapter 3 Quadratics Homework – Chapter 3 Test is Friday, November 24th for Knowledge &
Application and on Monday, November 28th for Thinking & Communication
Thursday – 10/27 – Learning Goal – students will be able to factor polynomial expressions using
the greatest common factor: Practise (1) Common Factoring worksheet (all) & (2) Greatest
Common Factoring worksheet (all)
Friday – 10/28 – Learning Goal – students will be able to expand and simplify 2nd degree
expressions using the distributive law & FOIL – Practice (1) Distributive Law – Review
worksheet (all) & page 289, #4 (using FOIL) Note: Introduction of Algetiles using projector
Monday - 10/31 – Learning Goal – students will be able to factor quadratic trinomial expressions
ax 2  bx  c , where a = 1 – Homework Factoring ax 2  bx  c when a = 1, #1-80, odd letters (a, c,
e… ) Note: Introduction of perfect square
Tuesday – 11/1 – Learning Goal – students will be able to factor quadratic difference of square
expressions – Homework Worksheet: Factoring differences of squares x 2  y 2  ( x  y)( x  y) ,
#1-44
Wednesday - 11/2 – Learning Goal – students will be able to factor quadratic trinomial
expressions ax 2  bx  c , where a ≠ 1 – Homework Worksheet: Factoring ax 2  bx  c when a ≠ 1,
#1-40
Thursday – 11/3 – Learning Goal – students will be able to factor quadratic expressions Homework factoring – “combos” #1-50
Friday – 11/4 to Tuesday 11/8 – Learning Goal – students will be able to factor quadratic
expressions - Homework worksheet factoring v. expanding – review & pick questions from p.307
& 308
Wednesday – 11/9 – Factoring Test - Homework p.244 & 245, #1-10
Friday – 11/11 – Quadratic Relations Intro (linear v. quad) – Learning Goal – Students will be able
to graph a parabola and relate the constant 2nd differences from a table of values
- All in the family – graphing calculator day – fold graph paper into 4 quadrants – input the
given equation - write the equation and sketch the graph in the appropriate quadrant with
similar graphs
- What is the same and what is different in each quadrant and for each graph
- *Homework – take all the linear and quadratic equations and create a table of values
(using -2, -1, 0, 1, 2) and also take the first differences – we will show what
happens with the second differences the next day
Monday – 11/14 – (3.1 – Quadratic Relations) Learning Goals – Students will be able to identify
the key features of a quadratic graph - For minds on, make connection with previous day’s work
by showing 2nd differences of quadratics & what does that mean. Action – Dog Pen. Close with
consolidation (3.2) properties of quadratic relations (max, min, axis of symmetry & the fact that
if you have the zeros, you can use the factored form of the zeros to find the x of the vertex &
the y of the vertex. When you put these together, you can also graph the quadratic relation.
- *Hwk p.254, #2, 5 & 6 (3.1 Quadratic Relations)
Tuesday – 11/15 – (3.2 – Properties of Quadratic Relations/3.4 – The Roles of Zeros in a
Quadratic Relation) Learning Goals – Students will be able to identify the key features of a
quadratic graph – Use Slides “Chapter 3 – Quadratics Toolkit Overview” to teach lesson
- * Homework for Wednesday is p.267, #1-10, p.268, #12 & 14, p.282, #8(c)(d)(e) & p.299,
#10
- Finding the coordinates of the vertex, optimal value, equation of the axis of symmetry,
zeros of the relation, sign of first differences, given the graph (use slide 11 for example)
- Constructing the equation of a graph, given the graph where you can identify the zeros
and at least one other point (use p.282, #8(a) & (b) and slide 17 for example)
Wednesday – 11/16 – (3.2 – Properties of Quadratic Relations/3.4 – The Roles of Zeros in a
Quadratic Relation – Continued) Learning Goals – Students will be able to determine and
describe the connection between the factors of a quadratic expression and the x-intercepts Homework:
• *Page 280, #1abcd (but don’t just find the zeros – also find the equation both in factored
and standard form)
• *Page 281, #4 (Hint: Find the x of the vertex by taking the average of the zeros)
• *Page 281, #5 (here you are given the equations in factored form)
• *Page 282, #9 (given the y-intercept)
Thursday – 11/17 3.2 – Quiz on material to date & Properties of Quadratic Relations/3.4 – The
Roles of Zeros in a Quadratic Relation – Continued) – Learning Goals – Students will be able to
determine and describe the connection between the factors of a quadratic expression and the
x-intercepts - Consolidation Day
• *Page 328, #7
• *Page 329, #9
• Page 308, #7acdefghijklmn (change each expression into an equation by putting y = to the
left of the expression) (then factor, then find the zeros, AOS and vertex)
Monday – 10/28 – Big idea – Word problems introduction - if you are given an equation, you can
find the zeros, vertex and other useful information using it. Learning Goals – students will solve
problems arising from realistic situations given a quadratic relation.
- Ex.: movement, p.268, #11, revenue, p.332, #15, area, p.308, #9
Hwk. See * below
Movement
- P.268, #11 (football) – demonstrated as example
- *p.308, #11 (rocket), p.308, #12 (baseball), p.316, #8 (skydiving), p.316, #9 (stuntdiver),
p.317, #13 (rocket) & p.317, #15 (boat)
Engineering
- *p.268, #13 (bridge) but sketch after finding zeros, vertex &
y-intercept
Revenue
- p.332, #15 – demonstrated as example
- *p.308, #13 (snowboards), p.308, #14 (software)
Area
- p.308, #9 (puppy run) – demonstrated as example
- *p.316, #4 (puppy run)
Optional (other)
- *p.317, #12 (population) & p.317, #14 (firehose)
Tuesday 10/29 – Given information that enables you to find the zeros or the equation and other
information, you can find the equation and use it to solve problems . Learning Goals – students
will solve problems arising from realistic situations using information to construct a quadratic
relation.
- Examples will be ex. P.283, #14 (movement), Icky Bum Ltd. Baby wipes (revenue), 20m
enclosure & Mr. & Mrs. B swimming pool (area)
Movement
- p.283, #14 (golf ball) – demonstrated as example
- *p.283, #14 (golf ball)
Engineering
- p.284, #16 (bridge) – demonstrated as example
- *p.300, #13 (bridge) & p.301, #15 (bridge)
Wednesday 10/30 – Given information that enables you to find the zeros or the equation and
other information, you can find the equation and use it to solve problems. Learning Goals –
students will solve problems arising from realistic situations given a quadratic relation.
Revenue
- Icky Bum Ltd. Baby wipes – demonstrated as example
- *p.285, #19, p.300, #14 (battery price increase), p..285, #20 (car pricing) & p.300, #14
(batteries)
Area
- 20m enclosure – demonstrated as example, Mr. & Mrs. B. swimming pool
demonstrated as example
- *p.316, #10 (Rose garden), p.316, #11 (Rose garden), p.317, #16 (Zamboni), p.317, #17
(diagonally across field) & p.318, #18 (lawn)
Thursday 10/31 – Review Day – Note - Test will be on Wednesday, 11/7*
- Review starting page 321
- *Do #1, 3 (try and create the equation also), 4, 5, 6, 7, 8, 9, 10, 11, 12 (don’t verify with
calculator), 13, 14, 16, 17, 18 & 20
Friday 11/1 – Quadratics Review Test – p.337
*We will be spending Monday, 11/5 & Tuesday, 11/6 on Chapter 4 – Vertex Form Quadratics