Algebra 1 5-1 Complete Lesson: Rate of Change and Slope

Last updated about 4 years ago

31 questions

Note from the author:

10

F.IF.6

F.LE.1.b

10

F.IF.6

10

F.IF.6

F.LE.1.b

10

F.IF.6

10

F.IF.6

F.LE.1.b

10

F.IF.3

10

F.IF.3

10

100

10

F.IF.6

F.LE.1.b

Library

Algebra 1 5-1 Complete Lesson: Rate of Change and Slope

Last updated about 4 years ago

31 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.

10

F.IF.6

F.LE.1.b

10

Solve It! How do you know?

F.IF.6

F.LE.1.b

5

F.IF.6

F.LE.1.b

10

F.IF.6

10

F.IF.6

5

F.IF.6

10

Problem 3 Got It? What is the slope of the line through the points (1, 3) and (4, -1)?
Enter only a number in fraction form.

F.IF.6

F.LE.1.b

10

Problem 3 Got It? Reasoning: Plot the points (1, 3) and (4, -1) from the previous item and draw a line through them. Include relevant graph detail: label axes, indicate scale on both axes, add arrows to the ends of lines and axes.

F.IF.6

10

Problem 3 Got It? Reasoning: Does the slope of the line you drew in the previous item match the slope you calculated in the item before that? Explain.

F.IF.6

F.LE.1.b

10

F.IF.6

10

F.IF.6

5

F.IF.6

F.LE.1.b

10

F.IF.6

F.LE.1.b

10

F.IF.6

10

F.IF.6

10

Open-Ended: Give an example of a real-world situation that you can model with a horizontal line. What is the rate of change for the situation? Explain.

F.IF.6

F.LE.1.b

10

F.IF.6

10

Error Analysis: Explain the student's mistake.

F.IF.6

10

F.IF.3

10

F.IF.3

10

Review Lesson 2-7: Solve the proportion.
Enter only a number.

10

Review Lesson 2-7: Solve the proportion.
Enter only a number.

10

Review Lesson 2-7: Solve the proportion.
Enter only a number.

10

Use Your Vocabulary: How does the slope of a road affect a person's driving?

10

Use Your Vocabulary: What kind of ski slope would a beginning skier use.

10

100

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.

10

Reflection: Math Success

F.IF.6

F.LE.1.b

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.

10

F.IF.6

F.LE.1.b

10

Solve It! How do you know?

F.IF.6

F.LE.1.b

5

F.IF.6

F.LE.1.b

10

F.IF.6

10

F.IF.6

5

F.IF.6

Problem 3 Got It? What is the slope of the line through the points (1, 3) and (4, -1)?
Enter only a number in fraction form.

Problem 3 Got It? Reasoning: Plot the points (1, 3) and (4, -1) from the previous item and draw a line through them. Include relevant graph detail: label axes, indicate scale on both axes, add arrows to the ends of lines and axes.

Problem 3 Got It? Reasoning: Does the slope of the line you drew in the previous item match the slope you calculated in the item before that? Explain.

10

F.IF.6

10

F.IF.6

5

A

F.IF.6

F.LE.1.b

10

F.IF.6

F.LE.1.b

10

F.IF.6

Vocabulary: What characteristic of a graph represents rate of change?

The slope

The x-intercept

The y-intercept

Open-Ended: Give an example of a real-world situation that you can model with a horizontal line. What is the rate of change for the situation? Explain.

10

F.IF.6

10

Error Analysis: Explain the student's mistake.

F.IF.6

Review Lesson 4-7: Identify the second, fourth, and tenth terms of the sequence.

Review Lesson 3-8: Use the sets below to build each union or intersection on the right of elements on the left.

1
2
3
4
5
6
7
8
9
10
{ }

A ∩ B
A ∩ C
B ⋃ C

Review Lesson 2-7: Solve the proportion.

6.8

13

7.5

3.3

Review Lesson 2-7: Solve the proportion.
Enter only a number.

Vocabulary Review: Use the terms on the left to complete the sentences on the right.

always
sometimes
never
division
multiplication
different
the same

A rate is __?__ a ratio.
A ratio is __?__ a rate.
A rate compares two quantities by __?__.
A rate compares quantities in __?__ unit(s).

Use Your Vocabulary: How does the slope of a road affect a person's driving?

Use Your Vocabulary: What kind of ski slope would a beginning skier use.

10

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.

Reflection: Math Success

Solve It! The table shows the horizontal and vertical distances from the base of the mountain at several poles along the path of a ski lift. The poles are connected by a cable. Between which two poles is the cable's path the steepest?

Pole A

Pole B

Pole C

Pole D

Problem 1 Got It?

A

B

Problem 2 Got It?

A

B

C

D

Problem 2 Got It?

A

B

C

D

Problem 2 Got It?

A

B

Problem 4 Got It?

A

B

C

D

Problem 4 Got It?

A

B

C

D

A

B

A

B

C

D

A

B

C

D

Vocabulary: What characteristic of a graph represents rate of change?

The slope

The x-intercept

The y-intercept

Error Analysis: A student calculated the slope of the line shown to be 2. What is the correct slope?

1/2

2

-1/2

-2

Review Lesson 4-7: Identify the second, fourth, and tenth terms of the sequence.

5

7

9

19

21

Review Lesson 4-7: Identify the second, fourth, and tenth terms of the sequence.

-5

0

1

7

13

49

Review Lesson 3-8: Use the sets below to build each union or intersection on the right of elements on the left.

{ }

A ∩ B

A ∩ C

B ⋃ C

Review Lesson 2-7: Solve the proportion.

6.8

13

7.5

3.3

Vocabulary Review: Use the terms on the left to complete the sentences on the right.

always

sometimes

never

division

multiplication

different

the same

A rate is __?__ a ratio.

A ratio is __?__ a rate.

A rate compares two quantities by __?__.

A rate compares quantities in __?__ unit(s).

Concept Summary: Slopes of Lines Identify the type of slope shown by the line in each graph.

negative slope
positive slope
slope of 0
undefined slope

Graph A
Graph B
Graph C
Graph D

Solve It! The table shows the horizontal and vertical distances from the base of the mountain at several poles along the path of a ski lift. The poles are connected by a cable. Between which two poles is the cable's path the steepest?

Pole A

Pole B

Pole C

Pole D

Problem 1 Got It?

A

B

Problem 2 Got It?

A

B

C

D

Problem 2 Got It?

A

B

C

D

Problem 2 Got It?

A

B

Problem 4 Got It?

A

B

C

D

Problem 4 Got It?

A

B

C

D

B

A

B

C

D

A

B

C

D

Error Analysis: A student calculated the slope of the line shown to be 2. What is the correct slope?

1/2

2

-1/2

-2

Concept Summary: Slopes of Lines Identify the type of slope shown by the line in each graph.

negative slope

positive slope

slope of 0

undefined slope

Graph A

Graph B

Graph C

Graph D

Algebra 1 5-1 Complete Lesson: Rate of Change and Slope

Algebra 1 5-1 Complete Lesson: Rate of Change and Slope

Solve It! How do you know?

Problem 3 Got It? What is the slope of the line through the points (1, 3) and (4, -1)?Enter only a number in fraction form.

Problem 3 Got It? Reasoning: Plot the points (1, 3) and (4, -1) from the previous item and draw a line through them. Include relevant graph detail: label axes, indicate scale on both axes, add arrows to the ends of lines and axes.

Problem 3 Got It? Reasoning: Does the slope of the line you drew in the previous item match the slope you calculated in the item before that? Explain.

Open-Ended: Give an example of a real-world situation that you can model with a horizontal line. What is the rate of change for the situation? Explain.

Error Analysis: Explain the student's mistake.

Review Lesson 2-7: Solve the proportion.Enter only a number.

Review Lesson 2-7: Solve the proportion.Enter only a number.

Review Lesson 2-7: Solve the proportion.Enter only a number.

Use Your Vocabulary: How does the slope of a road affect a person's driving?

Use Your Vocabulary: What kind of ski slope would a beginning skier use.

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.

Reflection: Math Success

Solve It! How do you know?

Problem 3 Got It? What is the slope of the line through the points (1, 3) and (4, -1)?Enter only a number in fraction form.

Problem 3 Got It? Reasoning: Plot the points (1, 3) and (4, -1) from the previous item and draw a line through them. Include relevant graph detail: label axes, indicate scale on both axes, add arrows to the ends of lines and axes.

Problem 3 Got It? Reasoning: Does the slope of the line you drew in the previous item match the slope you calculated in the item before that? Explain.

Vocabulary: What characteristic of a graph represents rate of change?

Open-Ended: Give an example of a real-world situation that you can model with a horizontal line. What is the rate of change for the situation? Explain.

Error Analysis: Explain the student's mistake.

Review Lesson 4-7: Identify the second, fourth, and tenth terms of the sequence.

Review Lesson 4-7: Identify the second, fourth, and tenth terms of the sequence.

Review Lesson 3-8: Use the sets below to build each union or intersection on the right of elements on the left.

Review Lesson 2-7: Solve the proportion.

Review Lesson 2-7: Solve the proportion.Enter only a number.

Review Lesson 2-7: Solve the proportion.Enter only a number.

Review Lesson 2-7: Solve the proportion.Enter only a number.

Vocabulary Review: Use the terms on the left to complete the sentences on the right.

Use Your Vocabulary: How does the slope of a road affect a person's driving?

Use Your Vocabulary: What kind of ski slope would a beginning skier use.

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.

Reflection: Math Success

Solve It! The table shows the horizontal and vertical distances from the base of the mountain at several poles along the path of a ski lift. The poles are connected by a cable. Between which two poles is the cable's path the steepest?

Problem 1 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 4 Got It?

Problem 4 Got It?

Error Analysis: A student calculated the slope of the line shown to be 2. What is the correct slope?

Concept Summary: Slopes of Lines Identify the type of slope shown by the line in each graph.

Problem 3 Got It? What is the slope of the line through the points (1, 3) and (4, -1)?
Enter only a number in fraction form.

Review Lesson 2-7: Solve the proportion.
Enter only a number.

Review Lesson 2-7: Solve the proportion.
Enter only a number.

Review Lesson 2-7: Solve the proportion.
Enter only a number.

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.

Problem 3 Got It? What is the slope of the line through the points (1, 3) and (4, -1)?
Enter only a number in fraction form.

Review Lesson 2-7: Solve the proportion.
Enter only a number.

Review Lesson 2-7: Solve the proportion.
Enter only a number.

Review Lesson 2-7: Solve the proportion.
Enter only a number.

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.