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(U2) - Lesson 1 Piggies and Pools

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Posljednje ažuriranje about 3 years ago
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Lesson Summary:

In this lesson, we learned that the possible inputs for a function are called the domain. We found that some situations are best described using a discrete model and others are represented better with a continuous model. Arithmetic sequences are part of the linear family of functions and geometric sequences are part of the exponential family of functions.

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Today's Learning Goal:

  • Surface the difference between a discrete and continuous model for a given context.

  • Introduce continuous exponential functions.

  • Recognize that arithmetic sequences are linear functions by examining the constant rate of change.

  • Recognize that geometric sequences are exponential functions by examining the constant ratio of values over equal intervals.

  • Introduce the concept of the domain of a function defining the possible input values.

Today's Materials:

  1. Laptop

  2. Pencil

  3. Guided Note Sheet

  4. Binder

Please complete the Jump Start (activator). This is independent it should be silent.

Pitanje 1
1.

Describe what a discrete function would look like on a graph.

Pitanje 2
2.

Describe what a continuous function would look like on a graph.

Launch, Explore, Discuss

We are beginning on the guided notes paper. Problems 1-4.

Launch, Explore, Discuss

Lets compare the problem 1-4 to find similarities and differences with each other.

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Pitanje 3
3.
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Pitanje 4
4.
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Pitanje 5
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Pitanje 6
6.

Closure - Debreif: What is the mathematical reason that the dots are connected on some graphs and not on others?

Independent Practice

Instructions:

Predict the next two terms in the sequence. State whether the sequence is arithmetic, geometric, or neither.

Obavezno
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Pitanje 7
7.

Predict the next two terms in the sequence.

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Pitanje 10
10.

Predict the next two terms in the sequence.

Obavezno
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Independent Practice

Instructions:

Identify whether the following statements represent a discrete or a continuous relationship.

Obavezno
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Pitanje 12
12.

The hair on your head grows 1/2 inch per month

Obavezno
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Pitanje 13
13.

The city of Buenos Aires adds 6,000 tons of trash to its landfills every day.

Independent Practice

Instructions:

Show your work!

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Pitanje 8
8.

State whether the sequence is arithmetic, geometric, or neither.

Pitanje 9
9.

State whether the sequence is arithmetic, geometric, or neither.

Pitanje 11
11.

State whether the sequence is arithmetic, geometric, or neither.

Pitanje 14
14.

Apples are on sale at the market at 4 pounds for $2.00. What is the price for 1 pound?

Pitanje 15
15.

One dozen (12) eggs cost $1.98. How much does 1 egg cost? (Round to the nearest cent.)

Pitanje 16
16.

Best Shoes had a back to school special. The total bill for 4 pairs of shoes came to $69.24 (before tax). What was the average price for each pair of shoes?

Pitanje 17
17.

Pitanje 18
18.

Pitanje 19
19.

Pitanje 20
20.