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.

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 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.
1
2
3
4
5
6
7
8
9
10
{ }
A ∩ B
A ∩ C
B ⋃ C
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.
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.

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
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?