Algebra 1 5-1 Guided Practice: Rate of Change and Slope

10

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

F.IF.6

F.LE.1.b

10

F.IF.6

F.LE.1.b

9

Review: Equivalent Fractions: Categorize the fractions appropriately.

\frac{-1}{-2}
\frac{-1}{2}
\frac{1}{-2}

Equivalent to \frac{1}{2}:
Equivalent to -\frac{1}{2}:

10

Take note: What is a rate of change ?

5

Problem 1 Got It?

A

B

F.IF.6

F.LE.1.b

10

Problem 2 Got It?

A

B

C

D

F.IF.6

10

Problem 2 Got It?

A

B

C

D

F.IF.6

5

Problem 2 Got It?

A

B

F.IF.6

10

Take note: What is the slope formula used for?

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

Problem 4 Got It?

A

B

C

D

F.IF.6

10

Problem 4 Got It?

A

B

C

D

F.IF.6

10

Graph a line that has positive slope.
Zoom and pan to establish an appropraite viewing window.

Yɛayi Graphing asɛmmisa type foforo a wɔatu mpɔn adi! Asuafo rentumi mmua saa asɛmmisa yi bio.

10

Graph a line that has negative slope.
Zoom and pan to establish an appropraite viewing window.

Yɛayi Graphing asɛmmisa type foforo a wɔatu mpɔn adi! Asuafo rentumi mmua saa asɛmmisa yi bio.

10

Algebra 1 5-1 Guided Practice: Rate of Change and Slope

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?

Review: Equivalent Fractions: Categorize the fractions appropriately.

Take note: What is a rate of change ?

Problem 1 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Take note: What is the slope formula used for?

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?

Graph a line that has positive slope.
Zoom and pan to establish an appropraite viewing window.

Graph a line that has negative slope.
Zoom and pan to establish an appropraite viewing window.

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

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?

Review: Equivalent Fractions: Categorize the fractions appropriately.

Take note: What is a rate of change ?

Problem 1 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Take note: What is the slope formula used for?

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?

Graph a line that has positive slope.
Zoom and pan to establish an appropraite viewing window.

Graph a line that has negative slope.
Zoom and pan to establish an appropraite viewing window.

Graph a line that has a slope of 0.
Zoom and pan to establish an appropraite viewing window.

Graph a line that has undefined slope.
Zoom and pan to establish an appropraite viewing window.

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Solve It! How do you know?

Graph a line that has a slope of 0.
Zoom and pan to establish an appropraite viewing window.

Graph a line that has undefined slope.
Zoom and pan to establish an appropraite viewing window.

Algebra 1 5-1 Guided Practice: Rate of Change and Slope

Algebra 1 5-1 Guided Practice: Rate of Change and Slope

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?

Review: Equivalent Fractions: Categorize the fractions appropriately.

Take note: What is a rate of change ?

Problem 1 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Take note: What is the slope formula used for?

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?

Graph a line that has positive slope. Zoom and pan to establish an appropraite viewing window.

Graph a line that has negative slope.Zoom and pan to establish an appropraite viewing window.

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

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?

Review: Equivalent Fractions: Categorize the fractions appropriately.

Take note: What is a rate of change ?

Problem 1 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Take note: What is the slope formula used for?

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?

Graph a line that has positive slope. Zoom and pan to establish an appropraite viewing window.

Graph a line that has negative slope.Zoom and pan to establish an appropraite viewing window.

Graph a line that has a slope of 0.Zoom and pan to establish an appropraite viewing window.

Graph a line that has undefined slope.Zoom and pan to establish an appropraite viewing window.

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Solve It! How do you know?

Graph a line that has a slope of 0.Zoom and pan to establish an appropraite viewing window.

Graph a line that has undefined slope.Zoom and pan to establish an appropraite viewing window.

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.

Graph a line that has positive slope.
Zoom and pan to establish an appropraite viewing window.

Graph a line that has negative slope.
Zoom and pan to establish an appropraite viewing window.

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.

Graph a line that has positive slope.
Zoom and pan to establish an appropraite viewing window.

Graph a line that has negative slope.
Zoom and pan to establish an appropraite viewing window.

Graph a line that has a slope of 0.
Zoom and pan to establish an appropraite viewing window.

Graph a line that has undefined slope.
Zoom and pan to establish an appropraite viewing window.

Graph a line that has a slope of 0.
Zoom and pan to establish an appropraite viewing window.

Graph a line that has undefined slope.
Zoom and pan to establish an appropraite viewing window.