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

10

Solve It! How do you know?

5

Problem 1 Got It?

10

Problem 2 Got It?

10

Problem 2 Got It?

5

Problem 2 Got It?

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.

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.

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.

10

Problem 4 Got It?

10

Problem 4 Got It?

5

10

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

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.

10

Error Analysis: Explain the student's mistake.

10

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

10

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

10

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

10

Review Lesson 2-7: Solve the proportion.

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

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).

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

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

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

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

Solve It! How do you know?

Problem 1 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

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.

Problem 4 Got It?

Problem 4 Got It?

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.

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

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?

Solve It! How do you know?

Problem 1 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

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.

Problem 4 Got It?

Problem 4 Got It?

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

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.

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

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?

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

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.