SWBAT determine whether two quantities are proportional by checking for the constant of proportionality when given in a table or when required to create a table
SWBAT identify both proportional and non-proportional relationships
CFS:
#1: Accurately computes unit rates or finds constant of proportionality
#2: Accurately explains if a table is proportional using appropriate vocabulary and evidence
1 point
1
Question 1
1.
Bikes —At the last Olympics, bikers rode their bikes for 13 hours straight.
Is there a proportional relationship between the distance they bike and the time spent biking? Explain your reasoning.
1 point
1
Question 2
2.
Typing Club—Jesús types at a constant rate of 42 words per minute.
a. Is the number of words he can type proportional to the number of minutes he types?
1 point
1
Question 3
3.
Complete the table to show how many words he types for each length of time.
Minutes Number of words
1 _______
2 _______
3 _______
6 _______
60 _______
MEDIUM Problems
1 point
1
Question 4
4.
Geometry—Andrea wants to create a variety of square playpens for her pets. She wants to know how many feet of fencing she’ll
need depending on how large each playpen is.
a. Complete the table so that the relationship between perimeter and side lengths is still proportional.
b. If Andrea wants to make a playpen that has side lengths of 25 feet each, how much fencing would she need?
1 point
1
Question 5
5.
Clever?—A clever student in Mr. Espinoza's math class, Smarty McPants, has been learning about proportional relationships for the last week. He notices that in the table below, the y-value increases by 4 as the x-value increases by 3. He answers that x is proportional to y because of this pattern.
Do you agree with this student’s claim? Why or why not?
CFS:
Accurately identifies unit rates
Explains using appropriate math vocabulary
4 points
4
Question 6
6.
Octagon—The table below shows the relationship between the side lengths of a regular octagon and its perimeter. (Regular octagon means all 8 sides are the same length).
Complete the table so that the relationship is still proportional.
If Lakeisha wants to make a regular octagon with a side length of 20 inches each using wire, how much wire does she need? Justify your reasoning with an explanation of whether the perimeter is proportional to side length.