Algebra 1 4-3 Complete Lesson: Patterns and Nonlinear Functions
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4.5 (1 rating)
by Matthew Richardson
| 36 Questions
Note 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. The outlined content above was added from outside of Formative.
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

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