MPM2DG1 - Grade 10 Gifted/Enriched Math

 

Unit 3 – Quadratic Equations

 

Link to Mr. Karo’s Webpage                                                

Link to RHHS Math Page

 

Link to course units:  Unit 1       Unit 2     Unit 3     Unit 4     Unit 5

 

Upcoming Evaluations:

Evaluation

Topics

Suggested Date

Quiz

Exponents

4/11

Quiz

Factoring

4/18

Unit Test #3

All topics from Unit 3

4/23

           

 

Unit 3:  Quadratic Equations

Date

Topic/Learning goals

Daily Work/Assignments

Fri

Apr 6

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

 

Handout

Do 5 of each type of question

 

 

Do the following as self-check:

 

Positive Exponents online quiz

 

Negative Exponents online quiz

Mon

Apr 9

Expanding Polynomials

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

 

Expanding Polynomials using Distributive Property - Tutorial

 

Common Factoring

To learn to factor using the techniques of common factoring

 

 

 

Tue

Apr 10

OSSLT – Literacy Test

 

Wed

Apr 11

Quiz – Exponents and expanding Polynomials

 

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

 

 

 

Thu

Apr 12

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 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

 

 

 

Fri

Apr 13

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

 

Factoring Summary

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

 

Factoring Flowchart

 

Do various questions from handout.

P. 84 #1-9

P. 85 #7-8, 11

 

Answers to P. 84

 

Mon

Apr 16

Cube Factoring

To use our skills to determine how to factor x3 ± y3

 

 

Review handout and do all odd questions at back

Tue

Apr 17

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)

 

Click here for HW

Wed

Apr 18

Quiz - Factoring

 

 

Thu

Apr 19

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

 

 

Fri

Apr 20

Problems involving Quadratics – Day 2

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

 

Challenge Word Problems…

Mon

Apr 23

UNIT TEST #3

UNIT TEST #3