6 1 Integer Exponents

Transcription

1 CHAPTER 6 EXPONENTS AND POLYNOMIALS LESSONS II II 6 6 WARM UPS II II 6 6 HOMEWORK II II Integer Exponents Objectives 1. Evaluate expressions containing zero and integer exponents. 2. Simplify expressions containing zero and integer exponents. CC.9 12.N.RN.1 Essential question: How do we simplify expressions with an exponent that is negative and zero? 1

2 2

3 Example 1: Application ANSWER Example 2: Zero and Negative Exponents 3

4 1 Yes Check It Out! Example 2 No Did you get the same result for letters C and D? Answer YES or NO in your clicker! 4

5 Example 3a: Evaluating Expressions with Zero and Negative Exponents Check It Out! Example 3a 5

6 Example 3b: Evaluating Expressions with Zero and Negative Exponents 6

7 Example 4: Simplifying Expressions with Zero and Negative Numbers Example 4: Simplifying Expressions with Zero and Negative Numbers 7

8 Check It Out! Example 4 Lesson Quiz: Part I 8

9 Lesson Quiz: Part II 9

10 6 2 Rational Exponents Part I Objectives 1. Evaluate and simplify expressions containing rational exponents. CC.9 12.N.RN.1 2 Index: Vocabulary What do and this textbook have in common? Both have Answer an INDEX :) 10

11 11

12 Additional Example 1: Simplifying b 12

13 Check It Out! Example 1 13

14 Check It Out! Example 2 14

15 Check It Out! Example 2 Additional Example 2: Simplifying Expressions with Fractional Exponents 15

16 6 2 Rational Exponents Part II Objectives 1. Evaluate and simplify expressions containing rational exponents. CC.9 12.N.RN

17 Additional Example 3: Application Check It Out! Example 3 ANSWER 17

18 Additional Example 4a: Properties of Exponents to Simplify Expressions Additional Example 4b: Properties of Exponents to Simplify Expressions 18

19 Check It Out! Example 4a Check It Out! Example 4b 19

20 Lesson Quiz: Part I Lesson Quiz: Part II 20

21 6 3 Polynomials Objectives 1. Classify polynomials and write polynomials in standard form. 2. Evaluate polynomial expressions. CC.9 12.A.SSE.1 Essential question: If a monomial has more than one variable with an exponent, how do you determine its degree? 21

22 Check It Out! Example 1 22

23 Example 2: Finding the Degree of a Polynomial 23

24 2 Check It Out! Example 2 Insert your answer for letter b. 5 24

25 Example 3a: Writing Polynomials in Standard Form 3Example 3b: Writing Polynomials in Standard Form Enter the leading coefficent in your clicker! 1 25

26 Check It Out! Example 3a 26

27 Example 4: Classifying Polynomials 27

28 Check It Out! Example 5 Check It Out! Example 5 Continued 28

29 Lesson Quiz: Part I Lesson Quiz: Part II 29

30 6 4 Adding and Subtracting Polynomials Objectives 1. Add and subtract polynomials. CC.9 12.A.APR.1 Essential question: How do you identify like terms in order to add and subtract? 30

31 Example 1: Adding and Subtracting Monomials 31

32 Example 1: Adding and Subtracting Monomials 32

33 Check it Out! Example 1 Check it Out! Example 1 33

34 Example 2: Adding Polynomials Example 2C: Adding Polynomials 34

35 Example 3A: Subtracting Polynomials 35

36 Example 3B: Subtracting Polynomials Check it Out! Example 3 36

37 Example 4: Application Lesson Quiz: Part I 37

38 Lesson Quiz: Part II 38

39 6 5 Multiplying Polynomials Objectives 1. Multiply polynomials. CC.9 12.A.APR.1 Essential question: How is multiplying monomials different from adding monomials? 39

40 Example 1: Multiplying Polynomials 40

41 4 Check it Out! Example 1 What is the exponent for x in the first question? 5 Example 1C Multiplying Monomials 41

42 Example 2A: Multiplying a Polynomial by a Monomial 42

43 Example 2B: Multiplying a Polynomial by a Monomial Example 2C: Multiplying a Polynomial by a Monomial 43

44 Check it out! Example 2 Check it out! Example 2 44

45 45

46 6 5 II Multiplying Polynomials Objectives 1. Multiply polynomials. CC.9 12.A.APR.1 Essential question: How is multiplying monomials different from adding monomials? 46

47 Example 3A: Multiplying Binomials Example 3B: Multiplying Binomials 47

48 Example 3C: Multiplying Binomials 48

49 Example 4A: Multiplying Polynomials Example 4B: Multiplying Polynomials 49

50 Example 4C: Multiplying Polynomials 50

51 6 6 Special Products of Binomials Objectives 1. Find special products of binomials. CC.9 12.A.APR.1 Essential question: How do you multiply binomials using shortcuts? 51

52 52

53 Lesson Quiz: Part I 53

54 6 1 WARM UP Enter for #1 6 2 Part I WARM UP Enter for #6 54

55 7 6 3 WARM UP Enter for # WARM UP Enter the coefficient for your second term for #7 4 55

56 9 6 5 WARM UP What is the value of the exponent for #5? II WARM UP Enter the coefficient for #

57 WARM UP Enter your exponent for #1 6 57