WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing...

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WARM UP Find the Greatest Common Factor and Least Common Multiple 1. 16 and 24 2. 12 and 9 Multiply 3.

Transcript of WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing...

Page 1: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

WARM UP

Find the Greatest Common Factor and Least Common Multiple

1. 16 and 242. 12 and 9Multiply3.

Page 2: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

Algebra 3Chapter 9: Rational Equations and FunctionsLesson 4: Multiplying and Dividing Rational Expressions

Page 3: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

VOCAB

Simplified Form – Numerator and Denominator have no common factors

Page 4: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

TODAY

Today we are going to learn how to simplify rational expressions

Page 5: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

DIRECTIONS (Simplifying)

FactorNUMERATORDENOMINATOR

Divide out common factors

Page 6: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

FACTORING

Factor cAdd factorsFind b

Page 7: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

I DO (Simplifying)

Simplify the rational expressions1. 2. 3. 4.

Page 8: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

WE DO (Simplifying)

Simplify the rational expressions1. 2. 3. 4.

Page 9: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

YOU DO (Simplifying)

Simplify the rational expressions1. 2. 3. 4.

Page 10: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

REVIEW

TODAY you learned…

Page 11: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

HOMEWORK

Worksheet9.4 (1 – 3)

Page 12: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

WARM UP

Find the Greatest Common Factor and Least Common Multiple

1. 14 and 42. 18 and 12Multiply3.

Page 13: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

Algebra 3Chapter 9: Rational Equations and FunctionsLesson 4: Multiplying and Dividing Rational Expressions

Page 14: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

PART 2

MULTIPLYING rational expressions

Page 15: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

TODAY

Today we are going to learn how to multiply rational expressions

Page 16: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

DIRECTIONS (MULTIPLYING)

Factor – like yesterdayMultiply straight across

If you have more than 1 thing you need to FOIL/DISTRIBUTE

Remember multiplying means add powersSimplify the numbersSimplify the variables

Remember Division means subtract powers

Page 17: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

I DO (Multiplying)

Simplify the rational expressions1. 2. 3. 4.

Page 18: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

WE DO (Multiplying)

Simplify the rational expressions1. 2. 3. 4.

Page 19: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

YOU DO (Multiplying)

Simplify the rational expressions1. 2. 3. 4.

Page 20: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

REVIEW

TODAY you learned…

Page 21: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

HOMEWORK

Worksheet9.4 (4 – 7)

Page 22: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

WARM UP

Find the Greatest Common Factor and Least Common Multiple

1. 9 and 272. 16 and 6Multiply3.

Page 23: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

Algebra 3Chapter 9: Rational Equations and FunctionsLesson 4: Multiplying and Dividing Rational Expressions

Page 24: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

PART 3

DIVIDING Rational Expressions

Page 25: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

TODAY

Today we are going to learn how to divide rational expressions

Page 26: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

DIRECTIONS (DIVIDING)

Take the reciprocal of the second fractionFactor termsMultiply straight acrossCancel out similar termsSimplify the numbersSimplify the variables

Remember Division means subtract powers

Page 27: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

I DO (DIVIDING)

Simplify the rational expressions1. 2. 3. 4.

Page 28: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

WE DO (DIVIDING)

Simplify the rational expressions1. 2. 3. 4.

Page 29: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

YOU DO (DIVIDING)

Simplify the rational expressions1. 2. 3.4.

Page 30: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

REVIEW

TODAY you learned…

Page 31: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

HOMEWORK

Worksheet9.4 (8 - 11)

Page 32: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

WARM UP

Find the Greatest Common Factor and Least Common Multiple

1. 8 and 202. 15 and 3Multiply3.

Page 33: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

Algebra 3Chapter 9: Rational Equations and FunctionsLesson 4: Multiplying and Dividing Rational Expressions

Page 34: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

TODAY

Today we are going to learn how to divide rational expressions

Page 35: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

I/WE DO (DIVIDING)

Simplify the rational expressions1. 2. 3.4.

Page 36: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

YOU DO (DIVIDING)

Simplify the rational expressions1. 2. 3.4.

Page 37: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

REVIEW

TODAY you learned…

Page 38: WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.

HOMEWORK

Worksheet9.4 (8 - 11)