week 24 bell ringers & quiz 8 th grade math. bell ringer monday 1. calculate the number of cubic...
TRANSCRIPT
![Page 1: Week 24 Bell Ringers & Quiz 8 th grade math. Bell Ringer Monday 1. Calculate the number of cubic inches each figure can hold. 2.Calculate the mean of](https://reader036.vdocument.in/reader036/viewer/2022062518/56649f005503460f94c16973/html5/thumbnails/1.jpg)
Week 24 Bell Ringers & Quiz
8th grade math
![Page 2: Week 24 Bell Ringers & Quiz 8 th grade math. Bell Ringer Monday 1. Calculate the number of cubic inches each figure can hold. 2.Calculate the mean of](https://reader036.vdocument.in/reader036/viewer/2022062518/56649f005503460f94c16973/html5/thumbnails/2.jpg)
Bell RingerMonday
1. Calculate the number of cubic inches each figure can hold.2.Calculate the mean of the volumes.3.Calculate the range of the volumes.4. If the dimensions of every figure are doubled, how are the volumes affected?
2 in
1 in
3 in
2 in
1 in
4 in
5 in
1 in
1 in
![Page 3: Week 24 Bell Ringers & Quiz 8 th grade math. Bell Ringer Monday 1. Calculate the number of cubic inches each figure can hold. 2.Calculate the mean of](https://reader036.vdocument.in/reader036/viewer/2022062518/56649f005503460f94c16973/html5/thumbnails/3.jpg)
1. Calculate the number of cubic inches each figure can hold.
2 in
1 in
3 in
2 in
1 in
4 in
5 in
1 in
1 in
lwhV )2)(1(3V
36inV
lwhV )4)(1(2V
38inV
lwhV )1)(1(5V
35inV
36in 38in35in
![Page 4: Week 24 Bell Ringers & Quiz 8 th grade math. Bell Ringer Monday 1. Calculate the number of cubic inches each figure can hold. 2.Calculate the mean of](https://reader036.vdocument.in/reader036/viewer/2022062518/56649f005503460f94c16973/html5/thumbnails/4.jpg)
2. Calculate the mean of the volumes.3. Calculate the range of the volumes.
2 in
1 in
3 in
2 in
1 in
4 in
5 in
1 in
1 in
3
)586(:mean
3
19 3
3
16 in
3358: inRange
36in 38in35in
![Page 5: Week 24 Bell Ringers & Quiz 8 th grade math. Bell Ringer Monday 1. Calculate the number of cubic inches each figure can hold. 2.Calculate the mean of](https://reader036.vdocument.in/reader036/viewer/2022062518/56649f005503460f94c16973/html5/thumbnails/5.jpg)
4. If the dimensions of every figure are doubled, how are the volumes affected?
2 in
1 in
3 in
2 in
1 in
4 in
5 in
1 in
1 in
2:rScaleFacto 823
volumes.original n thelarger tha
times8 are volumesnew The
36in 38in35in
![Page 6: Week 24 Bell Ringers & Quiz 8 th grade math. Bell Ringer Monday 1. Calculate the number of cubic inches each figure can hold. 2.Calculate the mean of](https://reader036.vdocument.in/reader036/viewer/2022062518/56649f005503460f94c16973/html5/thumbnails/6.jpg)
QuizMonday
The first triangle is dilated to create the second triangle. What is the perimeter of the dilated triangle?
6 cm
5 cm2.5 cmx cm
7 cm
3 cm
![Page 7: Week 24 Bell Ringers & Quiz 8 th grade math. Bell Ringer Monday 1. Calculate the number of cubic inches each figure can hold. 2.Calculate the mean of](https://reader036.vdocument.in/reader036/viewer/2022062518/56649f005503460f94c16973/html5/thumbnails/7.jpg)
What is the perimeter of the new triangle?
I found the scale factor used by dividing the new side by the original side. I multiplied the other dimension by the scale factor to get the missing dimension. I added the three sides together to get the perimeter.
The first triangle is dilated to create the second triangle. What is the perimeter of the dilated triangle?
The new perimeter is 9 cm.
Reduction1st: 5 cm, 6 cm, 7 cm2nd: 2.5 cm, 3 cm, x cm
5.6
3
Original
New
cm5.3)5(.7
cmP
P
9
35.25.3
![Page 8: Week 24 Bell Ringers & Quiz 8 th grade math. Bell Ringer Monday 1. Calculate the number of cubic inches each figure can hold. 2.Calculate the mean of](https://reader036.vdocument.in/reader036/viewer/2022062518/56649f005503460f94c16973/html5/thumbnails/8.jpg)
Bell RingerTuesday
Write in Scientific Notation1. 702,0002. 3,990,0003. 0.000000784. 0.0000907
Write in standard form5. 2.03 x 104
6. 9.1 x 10-6
7. 5.276 x 107
8. 4.803 x 10-8
![Page 9: Week 24 Bell Ringers & Quiz 8 th grade math. Bell Ringer Monday 1. Calculate the number of cubic inches each figure can hold. 2.Calculate the mean of](https://reader036.vdocument.in/reader036/viewer/2022062518/56649f005503460f94c16973/html5/thumbnails/9.jpg)
Write in Scientific Notation1.702,000
7.02 x 105
2. 3,990,000 3.99 x 106
3.0.000000787.8 x 10-7
4. 0.00009079.07 x 10-5
![Page 10: Week 24 Bell Ringers & Quiz 8 th grade math. Bell Ringer Monday 1. Calculate the number of cubic inches each figure can hold. 2.Calculate the mean of](https://reader036.vdocument.in/reader036/viewer/2022062518/56649f005503460f94c16973/html5/thumbnails/10.jpg)
Write in standard form5. 2.03 x 104
20,3006. 9.1 x 10-6
0.00000917. 5.276 x 107
52,760,0008. 4.803 x 10-8
0.00000004803
![Page 11: Week 24 Bell Ringers & Quiz 8 th grade math. Bell Ringer Monday 1. Calculate the number of cubic inches each figure can hold. 2.Calculate the mean of](https://reader036.vdocument.in/reader036/viewer/2022062518/56649f005503460f94c16973/html5/thumbnails/11.jpg)
QuizTuesday
A square dog pen has a length of 6 feet. A running bar runs diagonally through the pen. What is the length of the running bar?
![Page 12: Week 24 Bell Ringers & Quiz 8 th grade math. Bell Ringer Monday 1. Calculate the number of cubic inches each figure can hold. 2.Calculate the mean of](https://reader036.vdocument.in/reader036/viewer/2022062518/56649f005503460f94c16973/html5/thumbnails/12.jpg)
What is the length of the diagonal?
To find the length of the diagonal, I used the Pythagorean Theorem. I squared the legs. I added the squares of the legs together. I took the square root of the area to find the length of the segment. It was not a perfect square, so I put it between two perfect squares. I guessed and checked.
A square dog pen has a length of 6 feet. A running bar runs diagonally through the pen. What is the length of the running bar?
The diagonal is 8.5 ft.
SquareSides 6 ftDiagonal/Right Triangle
222 66 c23636 c
272 c272 c
cft 5.8
817264
![Page 13: Week 24 Bell Ringers & Quiz 8 th grade math. Bell Ringer Monday 1. Calculate the number of cubic inches each figure can hold. 2.Calculate the mean of](https://reader036.vdocument.in/reader036/viewer/2022062518/56649f005503460f94c16973/html5/thumbnails/13.jpg)
Bell RingerWednesday
You go on a hike. You hike 3 miles to the east and 4 miles north.
1. What is the quickest route back to camp?
2. How much quicker is this than hiking back the way you came?
HINT: draw a picture!!
![Page 14: Week 24 Bell Ringers & Quiz 8 th grade math. Bell Ringer Monday 1. Calculate the number of cubic inches each figure can hold. 2.Calculate the mean of](https://reader036.vdocument.in/reader036/viewer/2022062518/56649f005503460f94c16973/html5/thumbnails/14.jpg)
You go on a hike. You hike 3 miles to the east and 4 miles north.
1. What is the quickest route back to camp?
3 miles
4 miles
222 43 c2169 c
225 c225 c
milesc 5
5 miles
![Page 15: Week 24 Bell Ringers & Quiz 8 th grade math. Bell Ringer Monday 1. Calculate the number of cubic inches each figure can hold. 2.Calculate the mean of](https://reader036.vdocument.in/reader036/viewer/2022062518/56649f005503460f94c16973/html5/thumbnails/15.jpg)
You go on a hike. You hike 3 miles to the east and 4 miles north.
2. How much quicker is this than hiking back the way you came?
3 miles
4 miles
milesmilesmiles 743
5 miles
rmilesFastemilesmiles 257
![Page 16: Week 24 Bell Ringers & Quiz 8 th grade math. Bell Ringer Monday 1. Calculate the number of cubic inches each figure can hold. 2.Calculate the mean of](https://reader036.vdocument.in/reader036/viewer/2022062518/56649f005503460f94c16973/html5/thumbnails/16.jpg)
QuizWednesday
Out of 50 tourists, 30 tourists bought food from the ocean-side concession
stand. What percentage of tourists did not buy food from the concession
stand?
![Page 17: Week 24 Bell Ringers & Quiz 8 th grade math. Bell Ringer Monday 1. Calculate the number of cubic inches each figure can hold. 2.Calculate the mean of](https://reader036.vdocument.in/reader036/viewer/2022062518/56649f005503460f94c16973/html5/thumbnails/17.jpg)
What percent did not buy food?
To find the percent that did not buy food, I subtracted the total that did buy food from the total number of tourists. I set up a percent proportion, using the amount that did not buy food. I multiplied by a scale factor of 2.
Out of 50 tourists, 30 tourists bought food from the ocean-side concession stand. What percentage of tourists did not buy food from the concession stand?
Forty percent of the tourists did not buy food.
50 tourists30 bought20 did not buy
100
%
whole
part
100
%
50
20
total
Not
100
40
250
220
total
Not
%40
![Page 18: Week 24 Bell Ringers & Quiz 8 th grade math. Bell Ringer Monday 1. Calculate the number of cubic inches each figure can hold. 2.Calculate the mean of](https://reader036.vdocument.in/reader036/viewer/2022062518/56649f005503460f94c16973/html5/thumbnails/18.jpg)
Bell RingerThursday
1. Calculate the number of cubic inches the figure can hold.2. Calculate the number of square inches needed to cover the figure.3. If all the dimensions are doubled, how is the surface area affected?4. If all the dimensions are doubled, how is the volume affected?
3.5 in
2 in
7 in
![Page 19: Week 24 Bell Ringers & Quiz 8 th grade math. Bell Ringer Monday 1. Calculate the number of cubic inches each figure can hold. 2.Calculate the mean of](https://reader036.vdocument.in/reader036/viewer/2022062518/56649f005503460f94c16973/html5/thumbnails/19.jpg)
1. Calculate the number of cubic inches the figure can hold.
3.5 in
2 in
7 in
5.327 V5.314V
349inV
![Page 20: Week 24 Bell Ringers & Quiz 8 th grade math. Bell Ringer Monday 1. Calculate the number of cubic inches each figure can hold. 2.Calculate the mean of](https://reader036.vdocument.in/reader036/viewer/2022062518/56649f005503460f94c16973/html5/thumbnails/20.jpg)
2. Calculate the number of square inches needed to cover the figure.
3.5 in
2 in
7 in
25.24)5.3(7 inFront 214)2(7 inTop 27)2(5.3 inSide
291)7145.24(2 inTotalS
![Page 21: Week 24 Bell Ringers & Quiz 8 th grade math. Bell Ringer Monday 1. Calculate the number of cubic inches each figure can hold. 2.Calculate the mean of](https://reader036.vdocument.in/reader036/viewer/2022062518/56649f005503460f94c16973/html5/thumbnails/21.jpg)
3. If all the dimensions are doubled, how is the surface area affected?
3.5 in
2 in
7 in298)7(14 inFront 256)4(14 inTop
228)4(7 inSide 2364)285698(2 inTotalS
291inTotalS 2 in
7 in
3.5 in
14 in
4 in
7 in2364inTotalS
491
3642
2
in
in
original
new The new surface area is 4 times larger than the original surface area.
![Page 22: Week 24 Bell Ringers & Quiz 8 th grade math. Bell Ringer Monday 1. Calculate the number of cubic inches each figure can hold. 2.Calculate the mean of](https://reader036.vdocument.in/reader036/viewer/2022062518/56649f005503460f94c16973/html5/thumbnails/22.jpg)
QuizThursday
The first rectangle is dilated to create the second rectangle. What is the area of the dilated rectangle?
6 cm
4 cm18 cm
x cm
![Page 23: Week 24 Bell Ringers & Quiz 8 th grade math. Bell Ringer Monday 1. Calculate the number of cubic inches each figure can hold. 2.Calculate the mean of](https://reader036.vdocument.in/reader036/viewer/2022062518/56649f005503460f94c16973/html5/thumbnails/23.jpg)
What is the area of the new rectangle?
I found the scale factor used by dividing the new side by the original side. I multiplied the other dimension by the scale factor to get the missing dimension. I multiplied the length and width of the new rectangle to get the area.
The first rectangle is dilated to create the second rectangle. What is the area of the dilated rectangle?
The new area is 216 square centimeters.
Enlargement1st: 4 cm by 6 cm2nd: x cm by 18 cm
36
18
Original
New
cm12)3(4
2216
)18(12
cmA
A
![Page 24: Week 24 Bell Ringers & Quiz 8 th grade math. Bell Ringer Monday 1. Calculate the number of cubic inches each figure can hold. 2.Calculate the mean of](https://reader036.vdocument.in/reader036/viewer/2022062518/56649f005503460f94c16973/html5/thumbnails/24.jpg)
Bell RingerFriday
The original figure below is dilated 400%.
1. What type of dilation occurred?2. Calculate the scale factor.3. Calculate the original area.4. Calculate the new area.5. How is the area affected?
2 in
![Page 25: Week 24 Bell Ringers & Quiz 8 th grade math. Bell Ringer Monday 1. Calculate the number of cubic inches each figure can hold. 2.Calculate the mean of](https://reader036.vdocument.in/reader036/viewer/2022062518/56649f005503460f94c16973/html5/thumbnails/25.jpg)
The original figure is dilated 400%.
1. What type of dilation occurred?
2. Calculate the scale factor.
Enlargement
4%400
2 in
![Page 26: Week 24 Bell Ringers & Quiz 8 th grade math. Bell Ringer Monday 1. Calculate the number of cubic inches each figure can hold. 2.Calculate the mean of](https://reader036.vdocument.in/reader036/viewer/2022062518/56649f005503460f94c16973/html5/thumbnails/26.jpg)
The original figure is dilated 400%.
3. Calculate the original area.
4. Calculate the new area.
222 56.12)4(14.3)2(14.3 inr
inNewRadius 842:
2 in
222 96.200)64(14.3)8(14.3 inr
8 in
![Page 27: Week 24 Bell Ringers & Quiz 8 th grade math. Bell Ringer Monday 1. Calculate the number of cubic inches each figure can hold. 2.Calculate the mean of](https://reader036.vdocument.in/reader036/viewer/2022062518/56649f005503460f94c16973/html5/thumbnails/27.jpg)
The original figure is dilated 400%.
5. How is the area affected?
161
16
56.12
96.200
Original
NewSay NO to Oreos!
The new area is 16 times larger than the original area.
2 in 8 in
![Page 28: Week 24 Bell Ringers & Quiz 8 th grade math. Bell Ringer Monday 1. Calculate the number of cubic inches each figure can hold. 2.Calculate the mean of](https://reader036.vdocument.in/reader036/viewer/2022062518/56649f005503460f94c16973/html5/thumbnails/28.jpg)
QuizFriday
Two figures are similar. The scale factor is ½. If the volume of the larger figure is 48 in3, what is the volume of the smaller figure?
![Page 29: Week 24 Bell Ringers & Quiz 8 th grade math. Bell Ringer Monday 1. Calculate the number of cubic inches each figure can hold. 2.Calculate the mean of](https://reader036.vdocument.in/reader036/viewer/2022062518/56649f005503460f94c16973/html5/thumbnails/29.jpg)
What is the volume of the smaller figure?
I cubed the scale factor since volume involves 3 dimensions. I set up a proportion with the volume scale factor. I used the volume of the larger figure and the volume scale factor to find the volume of the smaller figure.
Two figures are similar. The scale factor is ½. If the volume of the larger figure is 48 in3, what is the volume of the smaller figure?
The volume of the smaller figure is 6 cubic inches.
ReductionScale factor: ½Volume of large: 48 cubic in
8
1
2
1
2
13
3
488
1 V
original
new
48
6
68
61
original
new