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 points
10
Question 1
1.
Solve It! You have 20 bags of mulch. You plan to spread the mulch from all the bags to make a rectangular layer that is 3-in. thick.
How many square feet can you cover?
If l and w represent the length and width of the rectangle in feet, what equation relates l and w?
Justify your reasoning.
A.CED.2
10 points
10
Question 2
2.
Problem 1 Got It? Classify each table as representing a direct variation, an inverse variation, or neither. Identify the function model for the direct and inverse variations.
NOTE: Any model that is neither direct variation nor direct variation will not have a function model.
Direct variation
Inverse variation
Neither
A.CED.2
10 points
10
Question 3
3.
Problem 2 Got It? Suppose x and y vary inversely, and x = 8 when y = -7.
Drag the appropriate item from the left to respond to each question on the right.
-56
26
-28
What is the function that models the inverse variation?
What does the graph of this function look like?
What is y when x = 2?
A.CED.4
A.CED.2
10 points
10
Question 4
4.
Problem 3 Got It? After a major storm, your math calss volunteers to remove debris from yards. The table shows the time t in minutes that it takes a group of n students to remove the debris from an average-sized yard.
What function models the time needed to clear the debris from an average-sized yard relative to the number of students who do the work?
A.CED.4
A.CED.2
10 points
10
Question 5
5.
Problem 3 Got It? After a major storm, your math calss volunteers to remove debris from yards. The table shows the time t in minutes that it takes a group of n students to remove the debris from an average-sized yard?
How many students should there be to clear debris from an average-sized yard in at most 25 minutes?
A.CED.4
A.CED.2
10 points
10
Question 6
6.
Problem 4 Got It? The number of bags of mulch you need to cover a planting area varies jointly with the area to be mulched a in square feet and the depth of the mulch d in feet. If you need 10 bags to mulch 120 ft2 to a depth of 3 in., how many bags do you need to mulch 200 ft2 to a depth of 4 in.?
A.CED.2
10 points
10
Question 7
7.
Problem 5 Got It? How much potential energy would a 41-kg diver have standing on a 10-m diving platform?
A.CED.2
10 points
10
Question 8
8.
Problem 5 Got It? An 80-kg diver stands on a 6-m diving platform. At what height should a 40-kg diver stand to have equal potential energy? Do you need to find the potential energy of either diver to solve this? Explain.
6 m
9 m
10 m
12 m
Yes. You must calculate the potential energy of both divers in order to determine at what height of the second diver their PE will be equivalent.
No. You don't need to calculate the potential energy of either diver in order to determine at what height of the second diver the PE will be equivalent.
At what height should a 40-kg diver stand to have equal potential energy?
Do you need to find the potential energy of either diver to solve this?
A.CED.2
10 points
10
Question 9
9.
Is the relationship between the variables in the table a direct variation, an inverse variation, or neither? What equation models the direct or inverse variation?
A.CED.4
A.CED.2
10 points
10
Question 10
10.
Is the relationship between the variables in the table a direct variation, an inverse variation, or neither? What equation models the direct or inverse variation?
A.CED.4
A.CED.2
10 points
10
10 points
10
Question 12
12.
Writing: Describe how the pairs in the left column are related based on the equation below.
p and s
p and qrt
Vary jointly
Vary inversely
A.CED.4
10 points
10
Question 13
13.
Error Analysis: A student described the relationship between the variables in the equation below as d varies directly with r and inversely with t. Correct the error in relating the variables.
A.CED.4
A.CED.2
10 points
10
Question 14
14.
Review Lesson 7-6: Solve each equation. Match a solution from the left with each equation on the right.
A.CED.2
10 points
10
Question 15
15.
Review Lesson 6-2: Multiply and simplify. Match a simplified expression from the left with each expression on the right.
10 points
10
Question 16
16.
Review Lesson 2-7: Match a description from the left with each equation on the right to describe how the equation is a transformation of the parent function y = |x|.
Translate left 2 units.
Translate right 2 units.
Translate up 2 units.
Translate down 2 units.
Stretch horizontally by a factor of 2.
Stretch vertically by a factor of 2.
y = |x| + 2
y = |x + 2|
y = 2|x|
10 points
10
Question 17
17.
Vocabulary Review: Which expression(s) do NOT contain a constant term?
10 points
10
Question 18
18.
Use Your Vocabulary: Use the true and false boxes on the left to tag each statement on the right.
true
false
As the radius of a pizza increases, the circumference of the pizza also increases. This relationship represents a direct variation.
As the number of miles a car is driven increases, the number of gallons of gas in the car's tank decreases. This relationship represents an inverse variation.
As the number of pages in a book increases, the weight of the book increases. This relationship represents an inverse variation.
100 points
100
Question 19
19.
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.
