Download 6th Grade EDM Unit 3 Study - SE

6th Grade EDM Unit 3 Study Guide
Name ___________________________
Date ____________________
Part A
b g
1. Give two special cases for the general pattern yxx  y 2x .
____________________________________
____________________________________
2. Circle the statement below that best describes the case 2555
• Doubling a number is the same as adding it to itself.
• 2  a 22
• 2abc
• 2aaa
The formula below can be used to find length in centimeters when the length in inches is known.
C is the number of centimeters, and i is the number of inches.
C  2.54  i
3. How many centimeters are there in 8 inches? _________________
4. How many centimeters are there in 100 inches? __________________
5. Circle the best approximation for the number of centimeters in 2feet .
0.6
6.0
60
600
6. Find the area and the perimeter of each rectangle below.
b
Perimeter  2 Length  Width
Area  Length  Width
g
a.
6 cm
12 cm
Area: ____ cm2
Perimeter: ____ cm
b
Perimeter  2 Length  Width
Area  Length  Width
g
b.
3.8 cm
2.7 cm
Area: ____ cm2
Perimeter: ____ cm
7. Evaluate each expression when x  2.
b. x 4  3x ___________________
a. 0.083  10 x __________________
c. x  10– 7
b g___________________
d. x 0  – 7
__________________
8. Mr. Dickson used the spreadsheet below to record his students’ scores on three geography
quizzes.
A
1
2
3
4
5
B
C
D
E
Student Quiz 1 Quiz 2 Quiz 3 Mean
Aaron
70
100
40
70
Beth
90
65
40
65
Carlin
75
75
78
76
Denny
69
72
78
a. What score did Denny receive in Quiz 1? ________
b. What score is shown in Cell D3? ________
c. Calculate Denny’s mean score and write it in Cell E5.________
d. Write a formula for calculating E5 that uses cell names.
_____________________________________________________________
9. Complete the table for the given rule. Then plot the points and connect them to make a line
graph.
1
Rule: y 
of x  1
2
F
I
G
H J
K
x
y
0
1
y
8
7
6
5
4
3
2
1
0
2
4
5

5
0
1
2
3
4
5
6
7
x
8
10. Label the graphs below with the most appropriate titles:
bicyclist riding on a level road and then uphill (level/uphill)
bicyclist riding on a level road and then downhill (level/downhill)
bicyclist accelerating at a constant rate and then going at a constant speed (accelerating/constant)
a._______________________
b. _____________________
c. _____________________
40
40
40
30
30
30
20
20
20
10
10
10
0
5
10 15 20 25
Time (minutes)
30
0
5
10 15 20 25
Time (minutes)
30
0
5
10 15 20 25
Time (minutes)
30
11. Label the graphs below with the most appropriate titles:
a car slowing down from a constant speed (slowing from constant)
a car traveling at a constant speed (constant)
a car accelerating at a constant rate and then going at a constant speed (accelerating/constant)
a._______________________
b. _____________________
c. _____________________
50
50
50
40
40
40
30
30
30
20
20
20
10
10
10
0
5
10 15 20 25
Time (seconds)
30
0
5
10 15 20 25
Time (seconds)
30
0
5
10 15 20 25
Time (seconds)
30
Part B
12. Write
12
as a mixed number or a whole number.
2
__________
13. Write
17
as a mixed number or a whole number.
2
__________
14. Write
19
as a mixed number or a whole number.
4
__________
15. Write 4
2
as an improper fraction.
7
__________
16. Write 1
3
as an improper fraction.
5
__________
17. Write 8
1
as an improper fraction.
3
__________
18. Find the greatest common factor of 8 and 36.
__________
19. Find the greatest common factor of 16 and 18.
__________
20. List the first 6 multiples of 2 and 8.
_________________________________________________________
Then name the least common multiple of 2 and 8.
___________
21. Use estimation to insert the decimal point in the quotient.
48.69 9  541
22. Multiply mentally.
4.6  1010 __________________
23. Multiply mentally.
2.4  107 ___________________
24. Adena rode her bike from her home to the park, where she had a picnic with her friend
Meredith. Then she rode her bike home. Use the graph to tell a story about Adena’s bike ride.
11:00
12:00
1:00
2:00
Time
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
Open Response
25. Representing Rates
Since January 1, you have kept track of the number of members belonging to two school clubs.
The Math Club currently has 150 members, and it adds 10 new members per month. The Science
Club currently has 200 members, and it adds 5 new members per month. Use the representations
below to figure out how many months it will take for the two clubs to have the same number of
members if no one quits.
The clubs will have the same number of members after
months.
On a separate sheet of paper, explain how you used the representations (graph, table, formulas)
to solve the problem.
Math Club
Science Club
Rule: Total Members 
b
Rule: Total Members 
g
b
g
150  10  Number of Months
200  5  Number of Months
Formula: m  10 x  150
Formula: m  5x  200
Number of
Total
Number of
Total
Months
x
Members
10 x  150
Months
x
Members
5x  200
0
150
0
200
1
160
1
205
b g2122  21b22g
[1] Sample answers: 655  6 25 ;
[2] Doubling a number is the same as adding it to itself; 2aaa
[3] 20.32 cm
[4] 254 cm
[5] 60
[6] a. 72 cm2 ; 36 cm
b. 10.26 cm2 ; 13 cm
[7] a. 8.3
b. 25
c. 0.0000002
d. –6
[8] a. 69
b. 40
A
c.
1
2
3
4
5
B
C
D
E
Student Quiz 1 Quiz 2 Quiz 3 Mean
Aaron
70
100
40
70
Beth
90
65
40
65
Carlin
75
75
78
76
Denny
69
72
78
73
b
g
d. E5  B5  C5  D5  3
[9]
x
y
0
1
2
2
4
3
5
1
3 
2
8
5
y
8
7
6
5
4
3
2
1
0
0
1
2
3
4
5
6
7
8
[10] a. bicyclist riding on a level road and then uphill
b. bicyclist riding on a level road and then downhill
c. bicyclist accelerating at a constant rate and then going at a constant speed
[11] a. a car accelerating at a constant rate and then going at a constant speed
b. a car slowing down from a constant speed
c. a car traveling at a constant speed
[12] 6
[13] 8
1
2
[14] 4
3
4
[15]
30
7
[16]
8
5
[17]
25
3
x
[18] 4
[19] 2
[20] 2,4,6,8,10,12
8,16,24,32,40,48
8
[21] 5.41
[22] 46,000,000,000
[23] 24,000,000
[24] Answers will vary.
Math Club
Science Club
Rule: Total Members 
Rule: Total Members 
b
g
[25] 150  10  Number of Months
b
g
200  5  Number of Months
Formula: m  10 x  150
Formula: m  5x  200
Number of
Total
Number of
Total
Months
x
Members
10 x  150
Months
x
Members
5x  200
0
150
0
200
1
160
1
205
2
170
2
210
3
180
3
215
4
190
4
220
5
200
5
225
6
210
6
230
7
220
7
235
8
230
8
240
9
240
9
245
10
250
10
250
11
260
11
255
12
270
12
260
Sample explanation: First, I used the formulas to fill out the tables until I got to 12 months. Then
I plotted the points on the graph and connected them into lines. I could see from the tables that
both clubs would have 250 members after 10 months. So the clubs will have the same number of
members after 10 months.