+ ccm 1b unit 5 – day 2 properties of exponents. + warm up – january 24 th

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+ CCM 1B Unit 5 – Day 2 Properties of Exponents

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Page 1: + CCM 1B Unit 5 – Day 2 Properties of Exponents. + Warm Up – January 24 th

+

CCM 1BUnit 5 – Day 2

Properties of Exponents

Page 2: + CCM 1B Unit 5 – Day 2 Properties of Exponents. + Warm Up – January 24 th

+Warm Up – January 24th

Page 3: + CCM 1B Unit 5 – Day 2 Properties of Exponents. + Warm Up – January 24 th

+Homework Check - 5.1

Page 4: + CCM 1B Unit 5 – Day 2 Properties of Exponents. + Warm Up – January 24 th

+Exponent Rules Review

Exponents are a “short-hand” way of multiplying the same quantity over and over.

Example:

X4 = (x)(x)(x)(x)

Page 5: + CCM 1B Unit 5 – Day 2 Properties of Exponents. + Warm Up – January 24 th

+Try Some: Expand the following

43

Y4

X2y5

w6z1

Page 6: + CCM 1B Unit 5 – Day 2 Properties of Exponents. + Warm Up – January 24 th

+Using Exponents to simplify

Write using exponents

x*x*x*x

2*2*2*2*x*x*x*y*y

3*3*3*4*4*4*4*x

Page 7: + CCM 1B Unit 5 – Day 2 Properties of Exponents. + Warm Up – January 24 th

+Zero as an exponent

Anything with an exponent of zero equals 1. (Check this in your calculator)

Ex)

x0 = 1

60 =

Y0 =

Page 8: + CCM 1B Unit 5 – Day 2 Properties of Exponents. + Warm Up – January 24 th

+Negative Exponents

When you have a NEGATIVE exponent you turn it POSITIVE and FLIP it.

EX x-3

Page 9: + CCM 1B Unit 5 – Day 2 Properties of Exponents. + Warm Up – January 24 th

+Try Some

Page 10: + CCM 1B Unit 5 – Day 2 Properties of Exponents. + Warm Up – January 24 th

+Multiplication

When multiplying like bases you ADD exponents

Ex) x4x2

Page 11: + CCM 1B Unit 5 – Day 2 Properties of Exponents. + Warm Up – January 24 th

+Try some!

X3x4

Y3x4y7

z3y2x5z5y6x10

Page 12: + CCM 1B Unit 5 – Day 2 Properties of Exponents. + Warm Up – January 24 th

+Exponents of Exponents

When you have an exponent of an exponent you MULTIPLY

EX: (x4)3

Page 13: + CCM 1B Unit 5 – Day 2 Properties of Exponents. + Warm Up – January 24 th

+Try Some!

(x)5

(x2y4)5

(2x3)6

Page 14: + CCM 1B Unit 5 – Day 2 Properties of Exponents. + Warm Up – January 24 th

+Division

When you divide like bases you SUBTRACT exponents

Page 15: + CCM 1B Unit 5 – Day 2 Properties of Exponents. + Warm Up – January 24 th

+Try Some

Page 16: + CCM 1B Unit 5 – Day 2 Properties of Exponents. + Warm Up – January 24 th

+Growing Sequences Worksheet

Page 17: + CCM 1B Unit 5 – Day 2 Properties of Exponents. + Warm Up – January 24 th

+Growing Sequences

Arithmetic Sequence : goes from one term to the next by always adding (or subtracting) the same value

Common Difference : The number added (or subtracted) at each stage of an arithmetic sequence

Initial Term : Starting term

For example, find the common difference and the next term of the following sequence:

3, 11, 19, 27, 35, . . .

Page 18: + CCM 1B Unit 5 – Day 2 Properties of Exponents. + Warm Up – January 24 th

+Growing Sequences

Geometric Sequence: goes from one term to the next by always multiplying (or dividing) by the same value

Common Ratio: The number multiplied (or divided) at each stage of a geometric sequence

Determine the common ratio r of the Brown Tree Snake Sequence.

1, 5, 25, 125, 625, . . .

Page 19: + CCM 1B Unit 5 – Day 2 Properties of Exponents. + Warm Up – January 24 th

+Practice with Sequences