1. SWBAT… find the GCF of whole numbers and monomials. Mon, 4/11 Agenda 1. Exponential functions (20 min) 2. GCF and factoring using the distributive property (25 min) Warm-Up: 1. Review this week’s agenda 2. Take out exponential functions HW HW#1: Factors and GCF/ Factoring Using the Distributive Property

2. Exponential Functions The variable is now the power (y = 2 x ) Notes: The axis scales do not match. You should expect that your T-chart will not have many useful plot points. Find a few points and with your knowledge of the general appearance of exponentials finish your graph.

3. Example 5-4a Determine whether the set of data displays exponential behavior. Method 1Look for a Pattern The domain values are at regular intervals of 10. Look for a common factor among the range values. 10 25 62.5 156.25 x 0102030 y 102562.5156.25 Answer: Since the range vales have a common factor of 2.5, this is a characteristic of exponential behavior.

4. Answer:The graph shows a rapidly increasing value of y as x increases. This is a characteristic of exponential behavior. Example 5-4b Method 2Graph the Data

5. Determine whether the set of data displays exponential behavior. Method 1Look for a Pattern The domain values are at regular intervals of 10. The range values have a common increase of 15. 10 25 40 55 +15 x 0102030 y 10254055 Answer:Since the domain values are at regular intervals and there is a common increase of 15, the data display linear behavior.

6. Answer:The graph is a line, not an exponential function. Example 5-4d Method 2Graph the Data

7. Plan 1:  Linear function: y = 0.50x + 4.50  Salary paid had a common increase of 0.50 (slope) Plan 2:  Exponential function: y = 0.01 * 2 d – 1  Salary paid had a common factor of 2 (doubling each day)

8. SWBAT… find the GCF of whole numbers and monomials. Mon, 4/11 Agenda 1. Midterms (10 min) 2. GCF and factoring using the distributive property (30 min) Warm-Up: 1. Take out “Get Ready for Chapter 8” 2. Write your homework in your planner HW#1: Factors and GCF/ Factoring Using the Distributive Property & Midterm Corrections

9. Range = 47% - 103% Mean = 75%

10. Midterm Corrections due by Friday!!! SHOW YOUR WORK Please come see me if you do not how to do a problem!!!!!!!!!!!!!!!!!! I don’t want to read “I still don’t know how to do this problem” or “IDK”

11. Get Ready for Chapter 8

12. Greatest Common Factor (GCF) of Monomials Example: 6x 5 y 3, 18xyz 1. List the factors of each number 2. Write all powers of variables as products 3. Circle the greatest common number 4. Circle the common variables

13. Directions: Find the GCF of each pair of monomials. 1. 6x 5 y 3, 18xyz 6xy 3 : 1, 2, 3, 6, x, x, x, x, x, y, y, y 18yz: 1, 2, 3, 6, 9, 18, x, y, z GCF = 6xy

14. Directions: Find the GCF of each pair of monomials. 2. 11a 2 b, 21ab 11a 2 b: 1, 11, a, a, b 21ab: 1, 3, 7, 21, a, b GCF = ab 3. 7gh, 11mp 7gh: 1, 7, g, h 11mp: 1, 11, m, p GCF = 1

15. Factoring Using the Distributive Property Directions: Use the distributive property to factor each polynomial. 1. 20z 2 + 35z Step 1. Take out GCF 5z(4z) + 5z(7) Step 2. Rewrite each term using the GCF 5z(4z + 7) Step 3. Distributive Property ALWAYS CHECK USING THE DISTRIBUTIVE PROPERTY

16. SWBAT… factor trinomials. Tues, 4/12 Agenda 1. WU(10 min) 2. Investigation activity (20 min) 3. Work on hw#2 (10 min) Warm-Up: Use the distributive property to factor each polynomial. 1. 27y 2 + 18y 2. 15w – 3v 3. x 2 – 8x 4. -4a 2 b – 8ab 2 + 2ab HW#2: Factoring, x 2 + bx + c

17. Directions: Use the distributive property to factor each polynomial. 1. 27y 2 + 18yStep 1. Take out GCF 9y(3y) + 9y(2)Step 2. Rewrite each term using the GCF 9y(3y + 2)Step 3. Distributive Property 2. 15w – 3v 3(5w) – 3(v) 3(5w – v) 3. x 2 – 8x x(x) – x(8) x(x – 8) 4. -4a 2 b – 8ab 2 + 2ab 2ab(-2a) – 2ab(4b) + 2ab(1) 2ab(-2a – 4b + 1)

18. With the person next to you, work on the “Investigation Activity: Factoring Trinomials x 2 + bx + c” Ignore the back! In the meantime, if you have questions over hw#1, let me know!