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Teacher Booklet.notebook 1 February 18, 2020 Jan 253:07 PM Unit 2: Introduction to Polynomials Chapter 5 & 7

Unit 2:Introduction to Polynomials - Grade 9 Science · Teacher Booklet.notebook 1 February 18, 2020 Jan 253:07 PM Unit 2:Introduction to Polynomials Chapter 5 & 7

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Page 1: Unit 2:Introduction to Polynomials - Grade 9 Science · Teacher Booklet.notebook 1 February 18, 2020 Jan 253:07 PM Unit 2:Introduction to Polynomials Chapter 5 & 7

Teacher Booklet.notebook

1

February 18, 2020

Jan 25­3:07 PM

Unit 2: Introduction 

to Polynomials Chapter 5 & 7

Page 2: Unit 2:Introduction to Polynomials - Grade 9 Science · Teacher Booklet.notebook 1 February 18, 2020 Jan 253:07 PM Unit 2:Introduction to Polynomials Chapter 5 & 7

Teacher Booklet.notebook

2

February 18, 2020

Jan 25­3:18 PM

5.1: The Language of Mathematics

3s + 2t

CoefficientVariable

For the algebraic expression 5a + 4b, what terminology can you use to describe the numbers 4 and 5, and the letters a and b?

Page 3: Unit 2:Introduction to Polynomials - Grade 9 Science · Teacher Booklet.notebook 1 February 18, 2020 Jan 253:07 PM Unit 2:Introduction to Polynomials Chapter 5 & 7

Teacher Booklet.notebook

3

February 18, 2020

Jan 25­3:24 PM

What terminology can you use to describe the expression -7x2 and its parts?

Make up a real-life situation and write an algebraic expression for it.

Page 4: Unit 2:Introduction to Polynomials - Grade 9 Science · Teacher Booklet.notebook 1 February 18, 2020 Jan 253:07 PM Unit 2:Introduction to Polynomials Chapter 5 & 7

Teacher Booklet.notebook

4

February 18, 2020

Jan 25­3:26 PM

VOCABULARY

Algebra - a branch of mathematics that uses symbols to represent unknown numbers and quantities.

Term - a single number or variable

Polynomial - an algebraic expression made up of terms connected by addition and subtraction signs.

Monomial - consisting of exactly one term

Binomial - consisting of exactly two terms

Trinomial - consisting of exactly three terms

Page 5: Unit 2:Introduction to Polynomials - Grade 9 Science · Teacher Booklet.notebook 1 February 18, 2020 Jan 253:07 PM Unit 2:Introduction to Polynomials Chapter 5 & 7

Teacher Booklet.notebook

5

February 18, 2020

Jan 25­3:31 PM

Types of Polynomials

# of TermsType of Polynomial

7x + 2-3x2

+ 4x + 24x3

5x3 + 4x2 + 3x + 2

Page 6: Unit 2:Introduction to Polynomials - Grade 9 Science · Teacher Booklet.notebook 1 February 18, 2020 Jan 253:07 PM Unit 2:Introduction to Polynomials Chapter 5 & 7

Teacher Booklet.notebook

6

February 18, 2020

Jan 25­3:26 PM

VOCABULARY

Degree of a Term - sum of the exponents in a single term

Term Degree

9x3

3xyz

8

Degree of a Polynomial - the degree of the term that has the highest degree

Polynomial Degree of Polynomial

5x3 + 4x2

4a2b7 - 3a8b2

2x3 + 7

Page 7: Unit 2:Introduction to Polynomials - Grade 9 Science · Teacher Booklet.notebook 1 February 18, 2020 Jan 253:07 PM Unit 2:Introduction to Polynomials Chapter 5 & 7

Teacher Booklet.notebook

7

February 18, 2020

Jan 25­4:00 PM

What is the number of terms and the degree of each polynomial? Explain each answer.

a) 1 - 3x b) 4x - 3xy + 7

c) -27b2 d) 99

Show Us What You Got!

Page 8: Unit 2:Introduction to Polynomials - Grade 9 Science · Teacher Booklet.notebook 1 February 18, 2020 Jan 253:07 PM Unit 2:Introduction to Polynomials Chapter 5 & 7

Teacher Booklet.notebook

8

February 18, 2020

Jan 25­4:10 PM

Modelling Polynomials 

Use the following:

x2 -x2 x -x 1 -1

Model:

1. x2 + 3x - 2 2. -x2 - x + 1

Page 9: Unit 2:Introduction to Polynomials - Grade 9 Science · Teacher Booklet.notebook 1 February 18, 2020 Jan 253:07 PM Unit 2:Introduction to Polynomials Chapter 5 & 7

Teacher Booklet.notebook

9

February 18, 2020

Jan 25­9:41 PM

Page 179 #5-14

Page 10: Unit 2:Introduction to Polynomials - Grade 9 Science · Teacher Booklet.notebook 1 February 18, 2020 Jan 253:07 PM Unit 2:Introduction to Polynomials Chapter 5 & 7

Teacher Booklet.notebook

10

February 18, 2020

Jan 25­4:17 PM

Mathematical Language

Add Subtract Multiply Divide

Page 11: Unit 2:Introduction to Polynomials - Grade 9 Science · Teacher Booklet.notebook 1 February 18, 2020 Jan 253:07 PM Unit 2:Introduction to Polynomials Chapter 5 & 7

Teacher Booklet.notebook

11

February 18, 2020

Feb 21­12:32 PM

Write expressions to represent the following:

1. The product of 7 and x.

2. A number decreased by 5.

3. Four subtracted from the quotient of 7 and a number squared.

4. Five is decreased by the product of 3 and a number.

Page 12: Unit 2:Introduction to Polynomials - Grade 9 Science · Teacher Booklet.notebook 1 February 18, 2020 Jan 253:07 PM Unit 2:Introduction to Polynomials Chapter 5 & 7

Teacher Booklet.notebook

12

February 18, 2020

Jan 25­9:41 PM

Page 180

#15-25, 28 & 29

5.1 Quiz: Thursday, Feb. 20th

(omit 16 and 25 e)