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

 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. 

10

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

1

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

1

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

1

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

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.

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.

10

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

5

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

5

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

10

Problem 2 Got It? Represent the relationship using words.

10

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

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.

10

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

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

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

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

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.

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.

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

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

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

Problem 2 Got It? Represent the relationship using words.

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

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.

Problem 3 Got It?

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.

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.