MPM2D1 - Grade 10 Academic Math

 

Unit 3 – Quadratic Equations

 

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

Exponents and expanding polynomials

NO CALCULATORS!

10/26

Quiz

Factoring

11/1

Quiz

Solving Quadratics Using Factoring

11/7

Unit Test #3

All topics from Unit 3

11/15

           

 

Unit 3:  Quadratic Equations

Date

Topic/Learning goals

Daily Work/Assignments

Fri

Oct 19

Exponent Laws Review

We will recall the exponent laws for multiplication, division, and power to a power

 

Power Point – Exponent Laws - 1

 

Zero and Negative Exponents

To determine the rules for working with zero and negative exponents

 

Power Point – Exponent Laws - 2

 

Zero and Negative Exponents - Solutions

 

CP p. 63 – 64 (odd letters)

 

p. 228 #6 – 9

CP p. 65 – 66  (odd letters)

 

CP p. 67 (Optional)

 

Do the following as self check:

 

Positive Exponents online quiz

 

Negative Exponents online quiz

Mon

Oct 22

PA Day – No Classes

 

 

Tue

Oct 23

Expanding Polynomials

We will review how to expand polynomials and improve our skills with binomial products

 

Expanding Polynomials using Distributive Property - Tutorial

 

CP p. 68 – 70 (odd numbers)

 

Text:  p. 297-8 #1 – 4

 

 

Wed

Oct 24

Common Factoring

To learn to factor using the techniques of common factoring

CP p. 71 - Odd

 

 

Thu

Oct 25

Factoring by Grouping

To learn to factor using the techniques of factoring by grouping

 

Common Factoring and Factoring by Grouping - Solutions

 

Factoring By Grouping - Tutorial

 

Factoring simple trinomials

We will learn to factor quadratics in the form x2+bx+c

 

Factoring Simple Trinomials - Solutions

 

Power Point – Factoring Simple Trinomials

 

Factoring Simple Trinomials - Tutorial

 

CP p. 71 – 72 – All

CP p. 73 – Odd

 

Fri

Oct 26

Quiz – Exponents and expanding Polynomials –

NO CALCULATORS!

 

Factoring difficult trinomials

We will learn to factor quadratics in the form ax2+bx+c

 

Factoring Complex(Difficult)  Trinomials - Solutions

 

Power Point – Factoring Complex Trinomials

 

Steps for Factoring Complex Trinomials using Decomposition - Tutorial

 

CP p. 74

Mon

Oct 29

Factoring a difference of perfect squares and Perfect Square Trinomials

To use our skills to determine how to factor a quadratic in the form x2y2

 

Power Point – Factoring  Difference of Perfect Squares

 

CP p. 76 (odd letters only)

Tue

Nov 30

Factoring Summary

We will practice our skills with all types of factoring and learn to combine them

 

Factoring Flowchart

 

Text:  p. 307 #2 – 7

CP p. 76 (even letters only)

CP p. 77 – 79 (odd numbers)

Optional: CP p. 86

Wed

Oct 31

Solving Quadratic Equations by Factoring

To learn about the zero product property and practice solving quadratic equations that are in factored form

 

Zero Product Property (Virtual Nerd)

Solving Quadratic Equations by Factoring (Virtual Nerd)

Advanced Solving Quadratic Equations by Factoring

(Math TV)

 

Steps for solving quadratic equations by factoring

 

CP p. 82-83

Text:  p. 309 #17

           p. 315 #1 – 3 (eop), 5, 6

Thu

Nov 1

Quiz - Factoring

 

Finite Differences

To determine a method for determining if data represents a linear, quadratic, or exponential relationship

 

Text:  p. 254-8 #2, 4, 13, 14

CP p. 85

Fri

Nov 2

Introduction to Quadratic Relationships

We will learn how to sketch a quadratic relation from a table of values, and to learn the appropriate vocabulary

CP p. 86 – 89 (do last two pages by hand)

Text:  p. 255-9 #6, 12, 16

 

Mon

Nov 5

Quadratic Equations and Functions

To understand the difference between a quadratic relation and a quadratic equation

To learn how to graph a quadratic relation, by hand, given its equation

 

Sketching a parabola using 5 quick points method - Tutorial

Text:  p. 308 #8

CP p. 90-91

 

Click here for HW

Tue

Nov 6

Factored Form for a Quadratic Equation

To write a equation in factored form then graph

Determining zeros and direction of opening given a quadratic relation

 

Entrance Card Solutions

Text:  p. 266 #1, 3 – 5, 7, 9

CP p. 92-94

 

Wed

Nov 7

Quiz - Solving Quadratics Using Factoring

 

Problems involving Quadratics – Day 1

We will apply our knowledge to solving problems involving quadratic relations (i.e. profit, area, etc.)

 

Solving Word Problems Using Quadratic Equations - Tutorial

 

CP p. 98 #1 – 6

Text:  p. 308 #9, 13, 14

          p. 316 #4, 10, 12ab

 

Thu

Nov 8

Problems involving Quadratics – Day 2

We will apply our knowledge to solving problems involving quadratic relations (i.e. height)

CP p. 96

Text:  p. 308 #11, 12

          p. 316 #8, 13

 

Fri

Nov 9

Writing equations of Quadratics

To learn to write the equation of a quadratic relation given its graph

Text:  p. 282 #6, 8 – 13, 22

 

 

Mon

Nov 12

Review for Unit Test – Day 1

We will review our skills with factoring and quadratics

 

Here are the Learning Goals for this unit. Make sure you are able to do what’s on the list and you will be ready for the unit test!

 

Practice Unit Test

 

CP p. 100 – 101

Text:  p. 228 #4, 5

 

Challenge Word Problems…

Tue

Nov 13

Review for Unit Test – Day 2

We will review our skills with factoring and quadratics

 

Practice Test Solutions

Text:  p. 326 #4eop, 9eop, 11eop, 13, 14eop, 16 – 20

Wed

Nov 14

Pathways Day

Thu

Nov 15

UNIT TEST #3

UNIT TEST #3