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

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Posljednje ažuriranje almost 6 years ago
36

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
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
10
Pitanje 1
1.

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

1
1
Pitanje 3
3.

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

1
Pitanje 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
Pitanje 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
Pitanje 7
7.

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

A.REI.10
F.IF.4
5
Pitanje 8
8.

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

5
Pitanje 9
9.

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

10
Pitanje 10
10.

Problem 2 Got It? Represent the relationship using words.

10
10
A.REI.10
F.IF.4
10
Pitanje 13
13.

Problem 3 Got It?

A.REI.10
Pitanje 14
14.

Graph the function represented by the table.

Pitanje 15
15.

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

Pitanje 16
16.

This set of ordered pairs represent a function.

What is a rule that represents this function?

10
Pitanje 17
17.

Which rule could represent the function shown by the table?

A.REI.10
5
Pitanje 18
18.

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

10
Pitanje 19
19.

Explain.

5
Pitanje 20
20.

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

10
Pitanje 21
21.

Explain.

10
Pitanje 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
Pitanje 23
23.

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

Pitanje 24
24.

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

Enter only a number.

Pitanje 25
25.

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

Enter only a number in decimal form.

Pitanje 26
26.

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

Enter only a number.

Pitanje 27
27.

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

Enter only a number.

Pitanje 28
28.

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

Enter only a number in decimal form.

Pitanje 29
29.

Vocabulary Review: Find the next number in the pattern.

Enter only a number.

Pitanje 30
30.

Vocabulary Review: Find the next number in the pattern.

Enter only a number.

Pitanje 31
31.

Vocabulary Review: Find the next number in the pattern.

Enter only a number.

Pitanje 32
32.

Vocabulary Review: Find the next number in the pattern.

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

10
Pitanje 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
Pitanje 34
34.

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

Select all that apply.

Pitanje 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.

Pitanje 36
36.

Reflection: Math Success

Pitanje 2
2.

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

Pitanje 4
4.

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

Pitanje 11
11.

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

Pitanje 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.