Algebra 1 4-3 Guided Practice: Patterns and Nonlinear Functions

by Matthew Richardson

| 13 Questions Solve It! The table below shows the relationship between the number of steps in the staircase below and the number of blocks needed to build the staircase.

1

2

3

4

1

10

Solve It! How many blocks are required to build 4 steps? Enter only a number.

2

1

Solve It! What is the ordered pair associated with 4 steps?

(4, 6)

(4, 13)

(4, 10)

(4, 15)

3

1

Solve It! How many blocks are required to build 5 steps? Enter only a number.

4

1

Solve It! What is the ordered pair associated with 5 steps?

(5, 19)

(4, 15)

(4, 10)

(5, 15)

5

10

Problem 1 Got It? The table shows the fraction A of the original area of a piece of paper that remains after the paper has been cut in half n times. Graph the function represented by the table.

6

6

10

Problem 1 Got It? Is the function represented by the table and graphed in the previous item linear or nonlinear?

Enter a one-word response.

7

7

10

Problem 1 Got It? Reasoning: Will the area, A, ever reach zero? Explain.

8

9

10

11

12

8

5

Problem 2 Got It? Enter a number to fill the table.

9

5

Problem 2 Got It? Enter a number to fill the table.

10

10

Problem 2 Got It? Represent the relationship using words.

11

10

Problem 2 Got It? Represent the relationship using an equation.

A

B

C

D

12

10

Problem 2 Got It? Represent the relationship using a graph.

NOTE: Not all points from the table must be on your graph.

Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

13

13

10

Problem 3 Got It?

A

B

C

D

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