MPM2D1 - Grade 10 Academic Math

 

Unit 4 – Quadratic Functions

 

Link to Mr. Karo’s Webpage                                                

Link to RHHS Math Page

Link to ILC Homework Help

 

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.

 

Min Max problem of composite shape - Tutorial

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