1. + CCM1 Unit 5

2. + Warm Up 1 – January 24 th

3. + Homework Check 1.2. -18 3. Score = Dependent, Time = independent 4. M = 15. x < -5 6. 10 +6y7. y=2x+5 8. x=

4. + Exponent Rules Review Exponents are a “short-hand” way of multiplying the same quantity over and over. Example: X 4 = (x)(x)(x)(x)

5. + Try Some: Expand the following 4 3 Y 4 X 2 y 5 w 6 z 1

6. + 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

7. + Zero as an exponent Anything with an exponent of zero equals 1. Ex x 0 = 1 6 0 = Y 0 =

8. + Negative Exponents When you have a NEGATIVE exponent you turn it POSITIVE and FLIP it. EX. x -3

9. + Try Some

10. + Multiplication When multiplying like bases you ADD exponents Ex: x 4 x 2

11. + Try some! x 3 x 4 y 3 x 4 y 7 z 3 y 2 x 5 z 5 y 6 x 10

12. + Exponents of Exponents When you have an exponent of an exponent you MULTIPLY EX: (x 4 ) 3

13. + Try Some! (x) 5 (x 2 y 4 ) 5 (2x 3 ) 6

14. + Division When you divide like bases you SUBTRACT exponents Fix any negatives if they show up!!

15. + Try Some

16. + 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,...

17. + 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 Sequence. 1, 16, 64, 256, 1024...

18. + Problem Situation: The Brown Tree Snake The Brown Tree Snake is responsible for entirely wiping out over half of Guam’s native bird and lizard species as well as two out of three of Guam’s native bat species. The Brown Tree Snake was inadvertently introduced to Guam by the US military due to the fact that Guam is a hub for commercial and military shipments in the tropical western Pacific. It will eat frogs, lizards, small mammals, birds and birds' eggs, which is why Guam’s bird, lizard, and bat population has been affected. The data collected on the Brown Tree Snake’s invasion of Guam is shown below.

19. + The number of snakes for the first few years is summarized by the following sequence: 1, 5, 25, 125, 625,... What are the next three terms of the sequence? How did you predict the number of snakes for the 6 th, 7 th, and 8 th terms? What is the initial term of the sequence? What is the pattern of change? Do you think the sequence above is an arithmetic sequence? Why or why not

20. + Complete the rest of the worksheet HW : 5.2