30x4
120
24x8
192
Choose the best estimation and explain why:
26x6
a. 100
b. 150
c. 200
d. 250
150
Sketch the 5th and 6th arrangements
5: 5 on top, 6 on the bottom
6: 6 on top, 7 on the bottom
The function machines' controls are set to multiply each number by 3 and then add 2. The first output number is done for you. Fill in the rest:
IN OUT
3 11
4
10
2
6
24
15
200
36
14
32
8
20
74
47
602
110
40x7
280
249x4
996
49x31
a. 1,200
b. 1,300
c. 1,400
d. 1,500
1,500
How many tiles would it take to build the 20th arrangement in the sequence?
Use labeled sketches, numbers, or words to help figure it out. SHOW ALL YOUR WORK
41 tiles
20 on top, 21 on the bottom
Choose the equation that best represents the rule for the problem before:
a. (in+2)x3
b. (inx3)+2
c. (inx2)+3
b. (in x 3)+2
80x5
400
642x5
3,210
We can hear the workers out mowing the lawn in front of our school. There are two sections to mow. The first one is 24 feet wide and 49 feet long. The second one is 6 feet wide and 23 feet long. How many square feet of grass do they mow in all?
a. write and equation to represent this problem. Use a letter to stand for the unknown number.
(24x49)+(6x23)=s
Which arrangement in the sequence can be built with exactly 55 tiles? How do you know? SHOW YOUR WORK using labeled sketches, numbers, or words
27th arrangement
Now the function machine is to make the output number 4 times as much as the input number
IN OUT
10 40
15
20
25
30
35
40
45
50
60
80
100
120
140
160
180
200
40x60
2400
Choose one the problems below-not too hard and not too easy.
12x14
15x13
22x23
26x23
38x27
87x56
Solve the problem you chose and SHOW ALL OF YOUR WORK
168
195
506
598
1,027
4,872
b. Molly got 1,000 square feet for her answer. Is Molly's answer reasonable? Why or why not? USE ESTIMATION TO HELP ANSWER THIS QUESTION
No because it is too low
What do you have to do to figure out how many tiles it takes to make any arrangement in the sequence? Use numbers, words, AND a labeled sketch to explain your answer
the top row is always the arrangement number
the bottom row is the arrangement number + 1
example equation: n+n+1
Describe 2 different patterns you noticed in the output numbers
answers may vary
60x50
3000
22X30
660
Use numbers, labeled sketches, or words to model and solve this problem. SHOW ALL OF YOUR WORK
work may vary