CPM CC1 CH 5 Team Mastery Check
Teacher:
Team:
Name/#:
Date:
Instructions​: Read each question CAREFULLY! Answer each question COMPLETELY! If there are
multiple steps, be sure to do each one. Show your work! Circle your final answer. Include all
necessary units of measurement. Verify your accuracy: be sure to CHECK (1) YOUR (2) WORK (3)!!!
1.Zevel overheard Bradley say he got a 66% on the last test. If Zevel only got one-third what Bradley got, what is
Zevel’s score? Explain how you know.
1
3 of​
66% = 13 o​ f​
66
1
33
1
=
o
​
f​
=
100
3
50
3
•
33
50
=
33
11
22
=
=
150 50 100
=22%
It would take three 22%’s added together (22% + 22% + 22% or 22%
times 3) to equal 66%. Therefore, Zevel only got 22% because it was
one-third of what Bradley got, and not one-third of 100% of the
overall test.
2.
Write a portions web with a fraction, a decimal, a percent and words that describes the diagram.
3. A pizza parlor cuts their pizzas into six pieces. What fraction of the pizza is each slice? Joan ate​
1
3
​ izzas.
4 p
How many slices was that? Draw a diagram and explain how you know. How many slices are left over? Explain
how you know.
Each slice is
1
6 of
Joan ate 10 and
the pizza because they are one out of the six total slices the pizza was cut into.
1
2
slices because she ate one whole pizza that has six slices plus 4 and
1
2
more slices of the
next pizza. You see this when you divide the second pizza into fourths and take away three of the fourths.
That leaves 1 12 slices left over. You can see that from the diagram.
4. Examine the parallelogram below. How many parallel sides are there? Identify the base and the height. What
is the formula for the area? Calculate the area. Draw a rectangle with the same area as the parallelogram. How
do you know it has the same area? Draw a triangle with the same area as the parallelogram. How do you know it
has the same area? Can you think of a different one? Come up with at least one other triangle with the same area.
There are two parallel sides (AB & DC and AD & BC). The base is 3 units and the height is 3 units.
A = bh A = 3 units • 3 units = 9 units
triangle is
1
2
2
The triangle has the same area because the formula for the area of
bh. Another trinagle with the same area could have a base of 9 and a height of 2 because 2
times 9 is 18 and half of that is 9.
5.
Compute:
a. (0.3)​3
0.3x0.3x0.3=0.027
​
3
10
6.
0.3 0.09
​ x 0.3​ ​x 0.3​
​ 0.09 0.027
27
• 103 • 103 = 1000
​b. (4.5)​2
c. (0.02)​3
4.5x 4.5=20.25
4.5
4.5
​x 4.5​
​x 4.5
225
0.25 (from the
​+ 1800​
2.00 generic
​2025
2.00 rectangle
20.25 ​+ 16.00 ​ below)
swoop twice 20.25
d. (1.0)​4
0.02x0.02x0.02=0.000008
2
100
•
2
100
•
2
100
=
1.0x1.0x1.0x1.0=1.0
8
1000000
Freida hopes to have her birthday party at the new Bounce Zone near her home. She won’t need to rent
the whole place as she is only planning on inviting seven of her closest friends. It has a capacity of 70
people and costs $125 to rent half. How much of the Bounce Zone should Freida rent? How much should
she expect it to cost? Justify your answer completely. ​
If the capacity is 70 people, and Freida will
only invite seven, she would only rent one-tenth of the place because 707 ÷ 77 =
then the whole space would cost $250. One-tenth of 250 equals $25 because
1
10 If half costs $125,
1
250
250
10
25
10 • 1 = 10 ÷ 10 = 1 =
25 Another way to find $25 is if one-half costs $125, and she will only use one-tenth of the space,
she should pay one-fifth of this amount since half of one-tenth would be one-fifth.
7.
Draw a number line representation to show how much
of
is.
8. ​Determine how to draw a copy of the digram with sides that are
Find
2
3
of each side: bottom = 23 of 9; right side =
2
3
copy
• 91 =
18
3 =
6
2
3
• 61 =
12
3
2
3 of
=4
6; top =
2
3
• 31 =
original
the lengths of the original. Draw it.
2
3 of
6
3=
2
3; diagonal =
2
3
• 61 =
12
3 =
2
3
4
of 6.