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

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Last updated over 5 years ago
36 questions
10
A.REI.10
10
A.REI.10
5
A.REI.10
10
A.REI.10
10
10
10
10
10
10
10
F.LE.2
10
F.LE.2
10
F.LE.2
10
F.LE.2
100
10
A.REI.10
F.IF.4
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
Question 1
1.

1
1
1
Question 5
5.

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
Question 6
6.

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.

A.REI.10
F.IF.4
10
Question 7
7.

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

A.REI.10
F.IF.4
5
5
10
10
10
A.REI.10
F.IF.4
10
A.REI.10
Question 14
14.

Graph the function represented by the table.

Question 15
15.

Question 16
16.

10
A.REI.10
5
10
Question 19
19.

Explain.

5
10
Question 21
21.

Explain.

10
Question 22
22.

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.

A.REI.10
Question 23
23.

Question 24
24.

Review Lesson 1-2: Evaluate the expression for x = 0.
Enter only a number.

Question 25
25.

Review Lesson 1-2: Evaluate the expression for x = 2.5.
Enter only a number in decimal form.

Question 26
26.

Review Lesson 1-2: Evaluate the expression for x = -3.
Enter only a number.

Question 27
27.

Review Lesson 1-2: Evaluate the expression for x = 0.
Enter only a number.

Question 28
28.

Review Lesson 1-2: Evaluate the expression for x = 2.5.
Enter only a number in decimal form.

Question 29
29.

Vocabulary Review: Find the next number in the pattern.
Enter only a number.

Question 30
30.

Vocabulary Review: Find the next number in the pattern.
Enter only a number.

Question 31
31.

Vocabulary Review: Find the next number in the pattern.
Enter only a number.

Question 32
32.

Vocabulary Review: Find the next number in the pattern.
Enter only a number, in this format: 1/9.

10
Question 33
33.

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

Enter only a number to fill in the blank.

F.LE.2
10
Question 35
35.

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.

Question 36
36.

Reflection: Math Success

Solve It! How many blocks are required to build 4 steps? Enter only a number.
Question 2
2.

Question 3
3.

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

Question 4
4.

Question 8
8.

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

Question 9
9.

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

Question 10
10.

Problem 2 Got It? Represent the relationship using words.

Question 11
11.

Question 12
12.

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.

Question 13
13.

Is the function you graphed in the item above linear or nonlinear?
Nonlinear
Linear
This set of ordered pairs represent a function.
What is a rule that represents this function?
y = x - 2
y = 2x - 3
y = 2x + 2
y = 3x - 2
Question 17
17.

Question 18
18.

Question 20
20.

Review Lesson 1-2: Evaluate the expression for x = -3.
-24
18
-18
-76
Question 34
34.

Solve It! What is the ordered pair associated with 4 steps?
(4, 10)
(4, 6)
(4, 13)
(4, 15)
Solve It! What is the ordered pair associated with 5 steps?
(5, 19)
(5, 15)
(4, 15)
(4, 10)
Problem 2 Got It? Represent the relationship using an equation.
A
B
C
D
Problem 3 Got It?
A
B
C
D
Which rule could represent the function shown by the table?
A
B
C
Vocabulary: Does the graph represent a linear function or a nonlinear function?
Linear function
Nonlinear function
Vocabulary: Does the graph represent a linear function or a nonlinear function?
Linear function
Nonlinear function
Use Your Vocabulary: Identify the graphs that represent a nonlinear function.
Select all that apply.
A
B
C
D