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

Quadratics

Nov 21

Quiz

Vertex Form of Quadratic

Nov 29

In-class Assignment

Quadratics Assignment

Dec 4

Unit Test #4

All of unit 4

Dec 10

           

 

Unit 4:  Quadratic Functions

Date

Topic/Learning goals

Daily Work/Assignments

Fri

Nov 16

Quadratic Functions – Part 1

We will learn how to graph a quadratic function using the step pattern, and determine how p, and q effect the graph.

 

For graphing you can use Desmos app or Desmos online graphing calculator.

 

CP p. 102 – 109

Mon

Nov 19

Quadratic Functions – Part 2

We will be graphing a quadratic function using the step pattern, and determine how a effects the graph.

CP p. 110 – 115

Text p. 364/5 #2, 4, 7

Tue

Nov 20

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

CP p. 116 - 118

Text p. 365-7 #5, 6, 8, 9, 11 – 13

Wed

Nov 21

Quiz – Quadratics (Online)

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

 

CP p. 118-119

Text p. 390 #1, 2, 4, 5, 6

Thu

Nov 22

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

 

CP p. 120

Text p. 391 #7 – 9

 

HW pages can be downloaded here

Fri

Nov 23

PD Day – No Classes

 

Mon

Nov 26

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)

CP p. 121

Text p. 351 #1, 2, 5 – 12

Tue

Nov 27

Graphing Quadratics

We will graph quadratics in standard form by converting to vertex form first.

CP p. 122–125 (odd numbers only)

Check your answers here

Wed

Nov 28

Solving Quadratic Equations by Factoring and/or Completing the Square

To remind ourselves how to use factoring to solve a quadratic and to learn how to use completing the square to solve a quadratic equation

 

Solving Quadratic Equations by Completing the Square - Tutorial

 

CP p. 126-127 (odd numbers only)

 

HW pages can be downloaded here and here

Thu

Nov 29

Quiz - Vertex Form of Quadratic

 

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

 

CP p. 128 – 131

Text p. 403 #4, 6, 12

 

HW pages can be downloaded here

Fri

Nov 30

Quadratic Formula – Discriminant

To determine how many roots a quadratic equation has using the discriminant.  We will practice our skills with solving quadratic equations.

Text p. 403 #3, 5, 8, 9, 11, 14, 17, 20, 24

CP p. 134

 

HW pages can be downloaded here

Mon

Dec 3

Quadratic Assignment

Practice methods of solving quadratics

Start Unit Review on CP P. 139

Tue

Dec 4

Quadratic Assignment – Work Period

Practice methods of solving quadratics Solving Quadratic Problems

To use our skills with solving equations to solve quadratic word problems.

Text p. 404 #13, 15, 16, 18, 19, 21, 22, 25

Wed

Dec 5

Optimization Problems – Day 1

We will develop a strategy for solving max/min problems involving quadratics.

 

Min Max word problems - Tutorial

CP p. 135-136

CP p. 137 #1 – 7

Text p. 355 #21

        p. 391 #11 – 14

 

HW pages can be downloaded here

Thu

Dec 6

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

CP p. 137 – 138

CP p. 139 – 140

Text p. 404 #12, 23, 26

Text p. 429 (Practice Test) Optional Review:  Text p. 418 – 428

Fri

Dec 7

Optimization Problems – Day 2

To practice our skills with solving max/min problems involving quadratics.

 

Min Max problem of composite shape - Tutorial

CP p. 138

Text p. 355 #22

       p. 391 #15 – 18, 20, 23

Mon

Dec 10

UNIT TEST #4

UNIT TEST #4