Unit 2 Lesson 1 Piggies and Pools

Unit 2 Lesson 1

Piggies and Pools

Lesson 1 Resources

Open the Resources Below for the Lesson.

Fill in the Google Doc as you watch the help videos for each
task. Write the work down in your notebook.

Lesson Google Doc

Learning Targets

Represent situations with different types of growth.

Compare models for situations that occur over time.

What type of situation can be modeled by a continuous graph? When is a graph of only separate points
appropriate?

What are the similarities and differences between an arithmetic sequence and a linear function?

Can a geometric sequence be continuous?

Explore Help Video

Ready for More Help Video

Lesson Summary Help Video

Retrieval Help Video

Math Practice

Do the Exit Ticket.

Now, work on the Ready, Set, Go Problems.

Check your work here.

Math Response

Find the 5th term in the sequence

4,−20,100,−500,...

Type answer here

Correct Answer: 2500

Deg^°

Rad

Math Response

Find the 6th term in the sequence

4,−20,100,−500,...

Type answer here

Correct Answer: -12500

Deg^°

Rad

Multiple Choice

Is the sequence arithmetic, geometric, or neither?

4,−20,100,−500,...

• arithmetic

• geometric

• neither

Multiple Choice

Find the explicit formula for the sequence.

4,−20,100,−500,...

• $$f\left(x\right)=4\cdot\left(-5\right)^x$$

• $$f\left(x\right)=4\cdot\left(5\right)^x$$

• $$f\left(x\right)=-\frac{4}{5}\cdot\left(-5\right)^x$$

• $$f\left(x\right)=-\frac{4}{5}\cdot\left(5\right)^x$$

Math Response

Find the 5th term in the sequence

3,5,8,12,...

Type answer here

Correct Answer: 17

Deg^°

Rad

Math Response

Find the 6th term in the sequence

3,5,8,12,...

Type answer here

Correct Answer: 23

Deg^°

Rad

Multiple Choice

Is the sequence arithmetic, geometric, or neither?

3,5,8,12,...

• arithmetic

• geometric

• neither

Math Response

Find the 5th term in the sequence

64,48,36,27,...

Type answer here

Correct Answer: 20.25

Deg^°

Rad

Math Response

Find the 6th term in the sequence

64,48,36,27,...

Type answer here

Correct Answer: 15.1875

Deg^°

Rad

Multiple Choice

Is the sequence arithmetic, geometric, or neither?

64,48,36,27,...

• arithmetic

• geometric

• neither

Multiple Choice

Find the explicit formula for the sequence.

64,48,36,27,...

• $$f\left(x\right)=64\cdot0.75^{x-1}$$

• $$f\left(x\right)=64\cdot0.75^x$$

• $$f\left(x\right)=0.75\cdot64^{x-1}$$

• $$f\left(x\right)=0.75\cdot5^{x-1}$$

Math Response

Find the 5th term in the sequence

1.5,0.75,0,−0.75,...

Type answer here

Correct Answer: -1.5

Deg^°

Rad

Math Response

Find the 6th term in the sequence

1.5,0.75,0,−0.75,...

Type answer here

Correct Answer: -2.25

Deg^°

Rad

Multiple Choice

Is the sequence arithmetic, geometric, or neither?

1.5,0.75,0,−0.75,...

• arithmetic

• geometric

• neither

Multiple Choice

Find the explicit formula for the sequence.

1.5,0.75,0,−0.75,...

• $$f\left(x\right)=64\cdot0.75^{x-1}$$

• $$f\left(x\right)=64\cdot0.75^x$$

• $$f\left(x\right)=0.75\cdot64^{x-1}$$

• $$f\left(x\right)=0.75\cdot5^{x-1}$$

Math Response

Find the 5th term in the sequence

$$40,10,\frac{5}{2},\frac{5}{8},...$$

Type answer here

Correct Answer: \frac{5}{32}

Deg^°

Rad

Math Response

Find the 6th term in the sequence

$$40,10,\frac{5}{2},\frac{5}{8},...$$

Type answer here

Correct Answer: \frac{5}{128}

Deg^°

Rad

Multiple Choice

Is the sequence arithmetic, geometric, or neither?

$$40,10,\frac{5}{2},\frac{5}{8},...$$

• arithmetic

• geometric

• neither

Multiple Choice

Find the explicit formula for the sequence.

$$40,10,\frac{5}{2},\frac{5}{8},...$$

• $$f\left(n\right)=40\left(\frac{1}{4}\right)^n$$

• $$f\left(n\right)=160\left(\frac{1}{4}\right)^n$$

• $$f\left(n\right)=\frac{1}{4}\left(4\right)^n$$

• $$f\left(n\right)=\frac{1}{4}\left(160\right)^n$$

Math Response

Find the 5th term in the sequence

1, 11, 111, 1111, ...

Type answer here

Correct Answer: 11111

Deg^°

Rad

Math Response

Find the 6th term in the sequence

1, 11, 111, 1111, ...

Type answer here

Correct Answer: 111111

Deg^°

Rad

Multiple Choice

Is the sequence arithmetic, geometric, or neither?

1, 11, 111, 1111, ...

• arithmetic

• geometric

• neither

Math Response

Find the 5th term in the sequence

−3.6,−5.4,−8.1,−12.15,...

Use up to four decimal places.

Type answer here

Correct Answer: -18.225

Deg^°

Rad

Math Response

Find the 6th term in the sequence

−3.6,−5.4,−8.1,−12.15,...

Use up to four decimal places.

Type answer here

Correct Answer: -27.3375

Deg^°

Rad

Multiple Choice

Is the sequence arithmetic, geometric, or neither?

−3.6,−5.4,−8.1,−12.15,...

• arithmetic

• geometric

• neither

Multiple Choice

Find the explicit formula for the sequence.

−3.6,−5.4,−8.1,−12.15,...

• 
  $$f\left(n\right)=-2.4\left(1.5\right)^n$$

• $$f\left(n\right)=160\left(\frac{1}{4}\right)^n$$

• $$f\left(n\right)=\frac{1}{4}\left(4\right)^n$$

• $$f\left(n\right)=\frac{1}{4}\left(160\right)^n$$

Math Response

Find the 5th term in the sequence

-64, -47, -30, -13, ...

Type answer here

Correct Answer: 4

Deg^°

Rad

Math Response

Find the 6th term in the sequence

-64, -47, -30, -13, ...

Type answer here

Correct Answer: 21

Deg^°

Rad

Multiple Choice

Is the sequence arithmetic, geometric, or neither?

-64, -47, -30, -13, ...

• arithmetic

• geometric

• neither

Multiple Choice

Find the explicit formula for the sequence.

-64, -47, -30, -13, ...

• $$f\left(n\right)=17n-81$$

• $$f\left(n\right)=-17n+81$$

• $$f\left(n\right)=-17n-81$$

• $$f\left(n\right)=-81n-17$$

Open Ended

Create a predictable sequence of at least four numbers that is NOT arithmetic or geometric.

Multiple Choice

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

For every ton of paper that is recycled, 17 trees are saved.

• Discrete

• Continuous

Multiple Choice

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

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

• Discrete

• Continuous

Multiple Choice

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

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

• Discrete

• Continuous

Multiple Choice

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

10. In 1929, from Black Thursday (October 24) through Black Tuesday (October 29), the Dow Jones Industrial Average (stock prices) declined by 25%.

• Discrete

• Continuous

Draw

Create a graph to model the statement. Label the x- and y-axes appropriately. Be sure that your graph correctly represents whether or not the situation is continuous or discrete.

14. Approximately 3.24 billion gallons of water flow over Niagara Falls daily.

Draw

Create a graph to model the statement. Label the x- and y-axes appropriately. Be sure that your graph correctly represents whether or not the situation is continuous or discrete.

14. The average person laughs 15 times times per day.

Math Response

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

Type answer here

Correct Answer: 0.50

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Math Response

16. Three apples weigh about a pound. About how much would 1 apple cost? (Round to the nearest cent.)

Type answer here

Correct Answer: 0.17

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Math Response

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

Type answer here

Correct Answer: 0.17

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Rad

Math Response

16. One dozen eggs cost $1.98. If the charge at the register for only eggs, without tax, was $11.88, how many dozen were purchased?

Type answer here

Correct Answer: 6

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Rad

Math Response

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?

Type answer here

Correct Answer: 17.31

Deg^°

Rad

Math Response

16. If you only purchased 2 pairs of shoes at Best Shoes instead of the 4 described in problem 20, how much would you have paid, based on the average price?

Type answer here

Correct Answer: 34.62

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Rad

Math Response

16. Solve for x.

    22. 6x=72

Type answer here

Correct Answer: 12

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Math Response

16. Solve for x.

    22. 4x=200

Type answer here

Correct Answer: 50

Deg^°

Rad

Math Response

16. Solve for x.

    22. 3x=50

Type answer here

Correct Answer: \frac{50}{3}

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Rad

Math Response

16. Solve for x.

    22. 12x=25.80

Type answer here

Correct Answer: 2.15

Deg^°

Rad

Math Response

16. Solve for x.

    22. 0.5x=17.31

Type answer here

Correct Answer: 34.62

Deg^°

Rad

Math Response

16. Solve for x.

    22. 4x=69.24

Type answer here

Correct Answer: 17.31

Deg^°

Rad

Math Response

16. Solve for x.

    22. 12x=198

Type answer here

Correct Answer: 16.5

Deg^°

Rad

Math Response

16. Solve for x.

    22. 1.98x=11.88

Type answer here

Correct Answer: 6

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Rad

Math Response

16. Solve for x.

    22. 0.25x=2

Type answer here

Correct Answer: 8

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Rad