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 agenda2. Take out exponential functions HW

HW#1: Factors and GCF/ Factoring Using the Distributive Property

Exponential FunctionsThe variable is now the power (y = 2x)

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.

Determine whether the set of data displays exponential behavior.

Method 1 Look 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 0 10 20 30y 10 25 62.5 156.25

Answer: Since the range vales have a common factor of 2.5, this is a characteristic of exponential behavior.

Answer: The graph shows a rapidly increasing value of y as x increases. This is a characteristic of exponential behavior.

Method 2 Graph the Data

Determine whether the set of data displays exponential behavior.

Method 1 Look 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 +15 +15

x 0 10 20 30y 10 25 40 55

Answer: Since the domain values are at regular intervals and there is a common increase of 15, the data display linear behavior.

Answer: The graph is a line, not an exponential function.

Method 2 Graph the Data

Plan 1:Linear function: y = 0.50x + 4.50Salary paid had a common increase of 0.50 (slope)

Plan 2: Exponential function: y = 0.01 * 2d – 1

Salary paid had a common factor of 2 (doubling each day)

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

Range = 47% - 103%Mean = 75%

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”

Get Ready for Chapter 8

Greatest Common Factor (GCF) of Monomials Example: 6x5y3, 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

Directions: Find the GCF of each pair of monomials.

1. 6x5y3, 18xyz

6xy3: 1, 2, 3, 6, x, x, x, x, x, y, y, y

18yz: 1, 2, 3, 6, 9, 18, x, y, z

GCF = 6xy

Directions: Find the GCF of each pair of monomials.

2. 11a2b, 21ab11a2b: 1, 11, a, a, b21ab: 1, 3, 7, 21, a, b

GCF = ab

3. 7gh, 11mp7gh: 1, 7, g, h11mp: 1, 11, m, p

GCF = 1

Factoring Using the Distributive Property

Directions: Use the distributive property to factor each polynomial.

1. 20z2 + 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

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. 27y2 + 18y 2. 15w – 3v 3. x2 – 8x 4. -4a2b – 8ab2 + 2ab

HW#2: Factoring, x2 + bx + c

Directions: Use the distributive property to factor each polynomial.1. 27y2 + 18y Step 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 – 3v3(5w) – 3(v)3(5w – v)

3. x2 – 8xx(x) – x(8)x(x – 8)

4. -4a2b – 8ab2 + 2ab2ab(-2a) – 2ab(4b) + 2ab(1)2ab(-2a – 4b + 1)

With the person next to you, work on the “Investigation Activity: Factoring Trinomials x2 + bx + c”

Ignore the back!

In the meantime, if you have questions over hw#1, let me know!