MPM2D1 - Grade 10 Academic Math
Unit 4 – Quadratic Functions
Link to course units: Unit 1 Unit 2 Unit 3 Unit 4 Unit
5
Upcoming Evaluations:
Evaluation |
Topics |
Suggested
Date |
Quiz
|
Vertex
Form of Quadratic |
May
2 |
Quiz
|
Completing
the Square |
May
8 |
Quiz
|
Quadratic
so far |
May
17 |
In-class
Assignment |
Quadratics
Assignment |
May
22 |
Unit
Test #4 |
All
of unit 4 |
May
25 |
Unit 4:
Quadratic Functions
Date |
Topic/Learning
goals |
Daily
Work/Assignments |
Tue Apr
24 |
Relations
and Finite Differences We will learn how to identify if a relation is quadratic based on
finite differences. |
Handout p. 102 – 104 |
Wed Apr
25 |
Intro
to Quadratic relations Part 1 We will use a computer based activity to become familiar with the
characteristics of quadratic relations. |
|
Thu Apr
26 |
Intro
to Quadratic relations Part 2 We will learn how to graph parabolas based on “Step
Pattern”. |
Handout p. 105 – 108 |
Fri Apr
27 |
Exploring
Quadratic Relations How do the values of a, h and k affect the parabola –
Translation. Find equation of parabola based on vertex/zeros and a point. |
Handout p. 109 – 111 |
Mon Apr
30 |
Vertex
Form and Graphing We will be graphing a quadratic function using the step pattern,
and determine how a
effects the graph. |
Handout p. 112 |
Tue May
1 |
Vertex
form for the equation of a quadratic function To consolidate and learn how to use the vertex form to write the
equation and graph a quadratic function. Perfect
Square Trinomials - Review |
|
Wed May
2 |
Quiz - Vertex Form of Quadratic Completing
the square – Part 1 To learn to convert the equation of a simple trinomial from
standard form to vertex form. Completing the Square I - Tutorial |
Handout p. 113 |
Thu May
3 |
Completing
the square – Part 2 + Practice To learn to convert the equation of a complex trinomial from
standard form to vertex form. Completing the Square II - Tutorial Completing
the Square - PowerPoint |
|
Fri May
4 |
PD
Day – No Classes |
|
Mon May
7 |
Solving
by completing the square To learn how to solve quadratic equations using completing the
square. |
Handout p. 115 |
Tue May
8 |
Quiz – Completing the Square Factored
Form We will use our knowledge of factoring to represent quadratic
formulas in factored form |
Handout p. 116-118 |
Wed May
9 |
Graphing
using Factored Form We will use our knowledge of factoring to represent quadratic
formulas in factored form and then graph using 5 points method |
Handout p. 119-123 |
Thu-Fri May
10-11 |
Converting
quadratic forms To learn to convert the equation of a quadratic function from one
form to any other form (i.e. standard, vertex, factored) Click here for
summary |
Handout |
Mon May
14 |
Optimization
Problems – Day 1 We will develop a strategy for solving max/min problems involving
quadratics. Class Notes Min Max word problems - Tutorial |
Handout p. 128 129 (Odd #s) |
Tue May
15 |
Optimization
Problems – Day 2 To practice our skills with solving max/min problems involving
quadratics. |
Handout p. 129 (Even #s) |
Wed May
16 |
Quadratic
Formula We will develop the quadratic formula and use it to solve
quadratic equations. Developing the Quadratic Formula Class Notes Quadratic
Formula - PowerPoint Developing Quadratic Formula - Tutorial |
|
Thu May
17 |
Quiz – Quadratics So far Quadratic
Formula – Discriminant To determine how many roots a quadratic equation has using the
discriminant. We will practice
our skills with solving quadratic equations. |
|
Fri May
18 |
Quadratic
Assignment Practice methods of solving quadratics |
|
Mon May
21 |
Victoria
Day |
|
Tue May
22 |
Quadratic
Assignment – Work Period Practice methods of solving quadratics |
|
Wed May
23 |
Solving
Quadratic Problems To use our skills with solving equations to solve quadratic word
problems. Non-negativity of Perfect Squares |
Handout p. 126 |
Thu May
24 |
Review We will discuss test topics and practice our skills with
quadratics. Min Max problem of price increase type - Tutorial Min Max problem of Revenue-Cost-Profit type - Tutorial Height Problem solved with quadratic formula not with
factoring - Tutorial |
More practice here |
Fri May
25 |
UNIT
TEST #4 |
UNIT TEST #4 |