Algebra 1 4-3 Complete Lesson: Patterns and Nonlinear Functions

4.5 (1 rating)

by Matthew Richardson

| 36 QuestionsNote from the author:

A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

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 pts

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

2

1 pt

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

(4, 6)

(4, 13)

(4, 15)

(4, 10)

3

1 pt

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

4

1 pt

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

(4, 10)

(5, 15)

(4, 15)

(5, 19)

5

10 pts

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 pts

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 pts

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

8

9

10

11

12

8

5 pts

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

9

5 pts

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

10

10 pts

Problem 2 Got It? Represent the relationship using words.

11

10 pts

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

A

B

C

D

12

10 pts

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 pts

Problem 3 Got It?

A

B

C

D

14

10 pts

Graph the function represented by the table.

15

5 pts

Is the function you graphed in the item above linear or nonlinear?

Linear

Nonlinear

16

10 pts

This set of ordered pairs represent a function.

What is a rule that represents this function?

y = 2x + 2

y = 3x - 2

y = x - 2

y = 2x - 3

17

17

10 pts

Which rule could represent the function shown by the table?

A

B

C

18

19

18

5 pts

Vocabulary: Does the graph represent a linear function or a nonlinear function?

Linear function

Nonlinear function

19

10 pts

Explain.

20

21

20

5 pts

Vocabulary: Does the graph represent a linear function or a nonlinear function?

Linear function

Nonlinear function

21

10 pts

Explain.

22

22

10 pts

Error Analysis: A classmate says that the function shown by the table can be represented by the rule y = x + 1. Describe and correct your classmate's error. Use ^2 notation for exponents, if necessary.

23

10 pts

Review Lesson 1-2: Evaluate the expression for x = -3.

-24

18

-76

-18

24

10 pts

Review Lesson 1-2: Evaluate the expression for x = 0.

Enter only a number.

25

10 pts

Review Lesson 1-2: Evaluate the expression for x = 2.5.

Enter only a number in decimal form.

26

10 pts

Review Lesson 1-2: Evaluate the expression for x = -3.

Enter only a number.

27

10 pts

Review Lesson 1-2: Evaluate the expression for x = 0.

Enter only a number.

28

10 pts

Review Lesson 1-2: Evaluate the expression for x = 2.5.

Enter only a number in decimal form.

29

10 pts

Vocabulary Review: Find the next number in the pattern.

Enter only a number.

30

10 pts

Vocabulary Review: Find the next number in the pattern.

Enter only a number.

31

10 pts

Vocabulary Review: Find the next number in the pattern.

Enter only a number.

32

10 pts

Vocabulary Review: Find the next number in the pattern.

Enter only a number, in this format: 1/9.

33

33

10 pts

Vocabulary Review: The next shape in the pattern below has __?__ blocks.

Enter only a number to fill in the blank.

34

34

10 pts

Use Your Vocabulary: Identify the graphs that represent a nonlinear function.

Select all that apply.

A

B

C

D

35

100 pts

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

36

10 pts

Reflection: Math Success

Add to my formatives list

Formative uses cookies to allow us to better understand how the site is used. By continuing to use this site, you consent to the Terms of Service and Privacy Policy.