Warm up

Review HW

Skills Check Pencil & calculator only When finished, flip it over, and sit quietly.

UNIT QUESTION: How can we use real-world situations to construct and compare linear and exponential models and solve problems? Standards: MCC9-12.A.REI.10, 11, F.IF.1-7, 9, F.BF.1-3, F.LE.1-3, 5 Essential Question: What is an exponential function and how is different from a linear function? What does their point of intersection represent?

Linear, Exponential, or Neither

For each representation of a function, decide if the function is linear, exponential, or neither. Give reasons for your answer. 1. Linear

For each representation of a function, decide if the function is linear, exponential, or neither. Give reasons for your answer. 2. Exponential Rounds of Tennis 1 2 3 4 5 Number of Players left in Tournament 64 32 16 8

For each representation of a function, decide if the function is linear, exponential, or neither. Give reasons for your answer. 3. This function is decreasing at a constant rate. Linear

For each representation of a function, decide if the function is linear, exponential, or neither. Give reasons for your answer. 4. A person’s height as a function of a person’s age (from age 0 to100). Neither

For each representation of a function, decide if the function is linear, exponential, or neither. Give reasons for your answer. 5. Linear

For each representation of a function, decide if the function is linear, exponential, or neither. Give reasons for your answer. 6. Each term in a sequence is exactly 1/3 of the previous term. Exponential

Linear vs. Exponential Functions Task Classwork

Option 1: You can have $1000 a year for twenty years Option 1: You can have $1000 a year for twenty years. Option 2: You can get $1 the first year, $2 the second year, $4 the 3rd, doubling the amount each year for twenty years. Which option gives you more money?

Raking leaves Task Classwork

1. Two dollars for each bag of leaves. 2 1. Two dollars for each bag of leaves. 2. Or two cents for one bag, four cents for two bags, eight cents for three bags, and so on with the amount doubling for each additional bag. If Celia rakes five bags of leaves, should she opt for payment method 1 or 2? What if she rakes ten bags of leaves?

1. Two dollars for each bag of leaves. 2 1. Two dollars for each bag of leaves. 2. Or two cents for one bag, four cents for two bags, eight cents for three bags, and so on with the amount doubling for each additional bag. 2. How many bags of leaves does Celia have to rake before method 2 pays more than method 1?

1. Two dollars for each bag of leaves. 2 1. Two dollars for each bag of leaves. 2. Or two cents for one bag, four cents for two bags, eight cents for three bags, and so on with the amount doubling for each additional bag. 3. Describe the differences in payment plans.

1. Two dollars for each bag of leaves. 2 1. Two dollars for each bag of leaves. 2. Or two cents for one bag, four cents for two bags, eight cents for three bags, and so on with the amount doubling for each additional bag. 4. Describe the difference in the way the payment grows in the table and on the graph.

1. Two dollars for each bag of leaves. 2 1. Two dollars for each bag of leaves. 2. Or two cents for one bag, four cents for two bags, eight cents for three bags, and so on with the amount doubling for each additional bag. 5. Is this growth situation continuous or discrete? How do you know?

Talk is cheap Task Homework