1. 9/28/17 - Homework

2. Station A1
Mr. Nesbitt’s black bag contains 36 marbles. If the probability of reaching in and pulling out a blue marble at random is 4/9, how many blue marbles are in the bag? How do you know?

3. Station A2
For each sequence, what are the next three numbers in the pattern? Explain the pattern in words.
a. 8, 12, 16, 20, …
b. 5, 12, 19, 26, …
c. 14, 11, 8, 5, …

4. Station B1
c. Pencils come in packs of 9, while erasers come in packs of 6. What is the smallest number of packages you would need to buy of each one to have one pencil for one eraser? Explain.

5. Station B2
Round each number to the given place.
a b c. 2,840.12
(Hundredths) (Ones) (Tenths)

6. Station C1
e. When the teacher asked Henrietta which was bigger 0.8 or 0.64, Henrietta said because “it represents 64 of the hundredths, rather than only 8 of them.” What do you think of Henrietta’s explanation? Be complete.

7. Station C2
f. Find the sum:
f 𝟑 𝟓 𝟑 𝟔 = f 𝟏 𝟔 𝟑 𝟓 =

8. Station D1 ha. What would figure 4 look like?
hb.        What is the relationship between the figure number and the number of triangles?
hc.        What is the relationship between the figure number and the number of diamonds?
hd.        How many triangles and diamonds would be in Figure 20 and how do you know?

9. Station D2
i. SP.C A bag contains six green erasers, three blue erasers, and four red erasers, all the same size and shape.
a.        What is the probability of choosing a red eraser?
b.        What is the probability of choosing a blue eraser?
c.        What is the probability of choosing a green eraser?
d.        If you are going to reach into the bag and pull out an eraser at random, what color are you most likely to get? Explain.

10. Station E1 Consider the fractions: 𝟐 𝟏𝟓 and 𝟑 𝟗 .
g1. What is the Least Common Multiple of the denominators?
g2. Add the two fractions.

11. Station E2
j. SP.C The shape below shows an unfolded cube. If the cube is folded up and rolled….
a What is the probability of landing on a heart?
b.        What is the probability of receiving a star?
c.        What is the probability of rolling the cloud?

12. Station A1
Mr. Nesbitt’s black bag contains 36 marbles. If the probability of reaching in and pulling out a blue marble at random is 𝟒 𝟗 , how many blue marbles are in the bag? How do you know?
16 Blue marble

13. Station A2
For each sequence, what are the next three numbers in the pattern? Explain the pattern in words.
a. 8, 12, 16, 20, …
b. 5, 12, 19, 26, …
c. 14, 11, 8, 5, …
a. 24, 28, 32
Add four
b. 33, 40, 47
Add seven
c. 2, -1, -4
Subtract three

14. Station B1
c. Pencils come in packs of 9, while erasers come in packs of 6. What is the smallest number of packages you would need to buy of each one to have one pencil for one eraser? Explain.
Pencils – 2 packs = 18 pencils
Erasers – 3 packs = 18 erasers

15. Round each number to the given place. a. 23.6793 b. 55.55 c. 2,840.12
Station B2
Round each number to the given place.
a b c. 2,840.12
(Hundredths) (Ones) (Tenths) a
b. 56
2,840.1

16. Station C1
e. When the teacher asked Henrietta which was bigger 0.8 or 0.64, Henrietta said because “it represents 64 of the hundredths, rather than only 8 of them.” What do you think of Henrietta’s explanation? Be complete.
0.8 = 0.80 which is greater than 0.64

17. 4 𝟏 𝟏𝟎 3 𝟏𝟕 𝟑𝟎 Station C2 f. Find the sum:
4 𝟏 𝟏𝟎
3 𝟏𝟕 𝟑𝟎

18. Station D1 ha. What would figure 4 look like? See figure above
hb.        What is the relationship between the figure number and the number of triangles?
hc.        What is the relationship between the figure number and the number of diamonds?
hd.        How many triangles and diamonds would be in Figure 20 and how do you know?
See figure above
Number of triangles is double the figure number
Figure number is number of diamonds plus one
40 triangles and 19 diamonds

19. Station D2
i. SP.C A bag contains six green erasers, three blue erasers, and four red erasers, all the same size and shape.
a.        What is the probability of choosing a red eraser?
𝟒 𝟏𝟑
b.        What is the probability of choosing a blue eraser?
𝟑 𝟏𝟑
c.        What is the probability of choosing a green eraser?
𝟔 𝟏𝟑
d.        If you are going to reach into the bag and pull out an eraser at random, what color are you most likely to get? Explain.
Green. There are the most of them

20. Station E1 𝟒 𝟏𝟑 Consider the fractions: 𝟐 𝟏𝟓 and 𝟑 𝟗 .
g1. What is the Least Common Multiple of the denominators? 45
g2. Add the two fractions.
𝟒 𝟏𝟑

21. Station E2
SP.C The shape below shows an unfolded cube. If the cube is folded up and rolled….
𝟏 𝟑
a What is the probability of landing on a heart?
𝟏 𝟐
b.        What is the probability of receiving a star?
𝟏 𝟔
c.        What is the probability of rolling the cloud?