Unit 1 Math Review Jeopardy Template

Volume Vocabulary

Calculate that Volume

Real World Volume

Expression Station

Division Challenge

100

Clue: What unit is used to measure the volume of a solid figure?

Volume measures the space inside a solid figure.

Use units that describe three dimensions.

A sentence frame is: “The volume is measured in ______.”

A visual example is a small cube. Its volume can be measured in cubic units.

Correct response: What are cubic units?

100

Clue: Find the volume of a rectangular prism that is 5 units long, 2 units wide, and 3 units high.

Use the formula:

V=l×w×hV=l×w×h

means volume.

means length,

means width, and

means height.

Substitute the numbers:

V=5×2×3V=5×2×3

Simpler steps: multiply the length and width first, then multiply by the height.

Work:

V=l×w×hV=l×w×h

V=5×2×3V=5×2×3

V=30V=30

Correct response: What is 30 cubic units?

100

Clue: A storage box is 6 feet long, 3 feet wide, and 2 feet high. How much can the box hold?

Highlight the key information: length = 6 feet, width = 3 feet, height = 2 feet.

Use

V=l×w×hV=l×w×h

Multiply

6×36×3

first, then multiply by 2.

The answer is measured in cubic feet.

Work:

V=6×3×2V=6×3×2

V=36V=36

Correct response: What is 36 cubic feet?

100

Clue: Which expression is equivalent to

562×42562×42

562×(40+2)562×(40+2)

562+40+2562+40+2

562×40+2562×40+2

562−(40+2)562−(40+2)

The distributive property breaks apart a factor into parts that are easier to multiply.

Look for an expression that keeps multiplication between 562 and both parts of 42.

Example:

a×(b+c)=(a×b)+(a×c)a×(b+c)=(a×b)+(a×c)

The number 42 can be broken apart as

40+240+2

Correct response: What is A?

100

Clue: A teacher has 48 pencils and gives the same number to each of 6 students. How many pencils does each student receive?

This is an equal-sharing problem.

Divide the total number of pencils by the number of students.

Use a multiplication fact to check:

6×8=486×8=48

A sentence frame is: “Each student receives ______ pencils.”

Work:

48÷6=848÷6=8

Correct response: What is 8 pencils?

200

Clue: A cube with side lengths of 1 centimeter has a volume of what?

A cube with side lengths of 1 centimeter is a unit cube.

One unit cube has a volume of 1 cubic centimeter.

Sentence frame: “The cube has a volume of ______.”

Remember that volume is measured in cubic units.

Correct response: What is 1 cubic centimeter?

200

Clue: Find the volume of a box that is 8 inches long, 4 inches wide, and 2 inches high.

Use

V=l×w×hV=l×w×h

Identify the dimensions: length = 8, width = 4, height = 2.

Substitute:

V=8×4×2V=8×4×2

The answer uses cubic inches because the dimensions are in inches.

Work:

V=8×4×2V=8×4×2

V=64V=64

Correct response: What is 64 cubic inches?

200

Clue: Kyle’s aquarium is 24 inches long, 10 inches high, and has a volume of 2,880 cubic inches. What is its width?

The missing dimension is the width.

Multiply the known dimensions:

24×1024×10

Divide the total volume by that product:

2,880÷2402,880÷240

Sentence frame: “The width is ______ inches because ______.”

Work:

24×10=24024×10=240

2,880÷240=122,880÷240=12

Correct response: What is 12 inches?

200

JEOPARDY SAVAGE

TAKE HALF OF ANOTHER TEAM'S POINTS!

200

Clue: A theater has 3,150 seats arranged in 42 equal rows. How many seats are in each row?

Estimate first:

3,150÷423,150÷42

is close to

3,200÷403,200÷40

, which is about 80.

Use multiplication facts to test the quotient.

Place value reminder: 42 groups of 75 make 3,150.

Check by multiplying the divisor by the quotient.

Work:

3,150÷42=753,150÷42=75

Check:

42×75=3,15042×75=3,150

Correct response: What is 75 seats?

300

Clue: A rectangular prism is made of 24 unit cubes with no gaps or overlaps. What is its volume?

Count the unit cubes.

Each unit cube represents 1 cubic unit.

Sentence frame: “The volume is ______ cubic units because there are ______ unit cubes.”

Correct response: What is 24 cubic units?

300

Clue: A rectangular prism has a base measuring 9 feet by 5 feet and a height of 4 feet. What is its volume?

Find the base area first: length × width.

Base area:

9×59×5

Multiply the base area by the height:

45×445×4

Use cubic feet because all dimensions are measured in feet.

V=9×5×4V=9×5×4

V=45×4V=45×4

Work:

V=9×5×4V=9×5×4

V=45×4V=45×4

Correct response: What is 180 cubic feet?

300

Clue: A shipping container has a volume of 1,200 cubic feet. It is 10 feet long and 12 feet wide. What is its height?

The missing dimension is height.

First find the base area:

10×1210×12

Divide the total volume by the base area.

Use

height=volume÷base areaheight=volume÷base area

Work:

10×12=12010×12=120

1,200÷120=101,200÷120=10

Correct response: What is 10 feet?

300

Clue: Choose all expressions equivalent to

245×38245×38

245×(30+8)245×(30+8)

(245×30)+(245×8)(245×30)+(245×8)

(200×38)+(40×38)+(5×38)(200×38)+(40×38)+(5×38)

245×30+8245×30+8

245+38245+38

Break apart 38 as

30+830+8

Or break apart 245 as

200+40+5200+40+5

Every part must still be multiplied by the other factor.

Check whether the expression has all the required multiplication signs.

Color-coding suggestion: mark the parts of 245 in one color and the parts of 38 in another color.

Correct response: What are A, B, and C?

300

Clue: A school orders 2,496 notebooks. They are packed equally into 24 boxes. How many notebooks are in each box?

Estimate:

2,496÷242,496÷24

is close to

2,400÷24=1002,400÷24=100

Use the place value of 2,496 to guide the quotient.

Think of related facts:

24×100=2,40024×100=2,400

, then account for the remaining 96.

Use multiplication to check the answer.

Work:

2,496÷24=1042,496÷24=104

Check:

24×104=2,49624×104=2,496

Correct response: What is 104 notebooks?

400

Clue: Explain why the volume of a rectangular prism can be found by multiplying its length, width, and height.

The length and width tell how many unit squares are on the base.

The height tells how many layers there are.

Sentence frame: “The base contains ______ unit squares. There are ______ layers, so the volume is found by ______.”

Visual model: base area × number of layers = volume.

Correct response: The base contains length times width unit squares. Each layer has that many cubes, and the height tells how many layers there are. Therefore, volume is found by multiplying length, width, and height.

400

Clue: A solid figure is made from two non-overlapping rectangular prisms. Prism A measures 20 inches by 11 inches by 7 inches. Prism B measures 30 inches by 11 inches by 4 inches. What is the total volume?

Find the volume of each prism separately.

Use

V=l×w×hV=l×w×h

for both prisms.

Add the two volumes because the prisms do not overlap.

Sentence frame: “Prism A has a volume of ______. Prism B has a volume of ______. The total is ______.”

Correct response: What is 180 cubic feet?

Calculate That Volume!: 400 Points

400 Points - Click to Reveal

Find the volume of each prism separately.

Use

V=l×w×hV=l×w×h

for both prisms.

Add the two volumes because the prisms do not overlap.

Sentence frame: “Prism A has a volume of ______. Prism B has a volume of ______. The total is ______.”

Work:

Prism A:

20×11×7=1,54020×11×7=1,540

Prism B:

30×11×4=1,32030×11×4=1,320

Total:

1,540+1,320=2,8601,540+1,320=2,860

Correct response: What is 2,860 cubic inches?

400

Clue: A rectangular tank is 30 inches long, 16 inches wide, and 14 inches tall. It needs a 2-inch layer of rocks and a soil layer that ends 4 inches below the top. Jack has 960 cubic inches of rocks and 3,840 cubic inches of soil. Can he fill the tank as required? Explain.

Find the base area first.

Find rock volume using base area × rock height.

Find soil height by subtracting the rock layer and the space at the top.

Find soil volume using base area × soil height.

Compare each amount needed with the amount Jack has.

Sentence frame: “Jack can/cannot fill the tank because he needs ______ rocks and ______ soil.”

Work:

Base area:

30×16=48030×16=480

square inches

Rocks:

480×2=960480×2=960

cubic inches

Soil height:

14−2−4=814−2−4=8

inches

Soil:

480×8=3,840480×8=3,840

cubic inches

Jack has exactly the amount of both materials needed.

Correct response: What is yes? He can fill the tank exactly.

400

Clue: Use the distributive property to find

307×24307×24

Show two different ways to break apart the factors.

Method 1: break apart 24 into

20+420+4

Method 2: break apart 307 into

300+7300+7

Write each method as a sum of partial products.

Color-coded model:

307=300+7307=300+7

24=20+424=20+4

Add the partial products after multiplying.

Work:

Method 1:

307×24=307×(20+4)307×24=307×(20+4)

6,140+1,228=7,3686,140+1,228=7,368

Method 2:

307×24=(300+7)×24307×24=(300+7)×24

7,200+168=7,3687,200+168=7,368

Correct response: What is 7,368?

400

Clue: A stadium has 5,376 seats. The seats are arranged equally in 48 sections. How many seats are in each section?

Estimate:

5,376÷485,376÷48

is close to

4,800÷48=1004,800÷48=100

Use the multiplication facts

48×10048×100

and then find the additional amount.

A place value chart can help organize thousands, hundreds, tens, and ones.

Check with multiplication: divisor × quotient = dividend.

Work:

5,376÷48=1125,376÷48=112

Check:

48×112=5,37648×112=5,376

Correct response: What is 112 seats?

500

Clue: A rectangular prism measures 6 units long, 4 units wide, and 3 units high. Explain what each factor represents in the volume calculation and name the unit of measure for the answer.

The first factor describes the length.

The second factor describes the width.

The third factor describes the number of layers or height.

Use the sentence frame: “The 6 represents ______, the 4 represents ______, and the 3 represents ______.”

Then calculate the volume by multiplying the three dimensions.

Correct response: The 6 represents the number of cubes along the length, the 4 represents the number along the width, and the 3 represents the number of layers. The volume is

6×4×3=726×4×3=72

cubic units. The answer is measured in cubic units.

500

Clue: A composite solid is made from two rectangular prisms. The first prism measures 12 units by 5 units by 4 units. The second prism measures 8 units by 3 units by 4 units. The prisms do not overlap. What is the total volume?

Break the problem into three steps:

Find the volume of the first prism.

Find the volume of the second prism.

Add the two volumes.

Use

V=l×w×hV=l×w×h

for each prism.

Since the prisms do not overlap, their volumes can be added.

Work:

First prism:

12×5×4=24012×5×4=240

Second prism:

8×3×4=968×3×4=96

Total:

240+96=336240+96=336

Correct response: What is 336 cubic units?

500

DOUBLE JEOPARDY

DOUBLE YOUR POINTS

500

Clue: Which expressions are equivalent to

562×42562×42

Choose all that apply.

562×(40+2)562×(40+2)

(562×4)+(562×2)(562×4)+(562×2)

(500×42)+(60×42)+(2×42)(500×42)+(60×42)+(2×42)

(500×40)+(500×2)+(60×40)+(60×2)+(2×40)+(2×2)(500×40)+(500×2)+(60×40)+(60×2)+(2×40)+(2×2)

(5×40)+(5×2)+(6×40)+(6×2)+(2×40)+(2×2)(5×40)+(5×2)+(6×40)+(6×2)+(2×40)+(2×2)

Break apart 42 into

40+240+2

Break apart 562 into

500+60+2500+60+2

Each part must keep its place value.

Use color coding:

562: 500, 60, 2

42: 40, 2

Check that every part of one factor is multiplied by the needed parts of the other factor.

Work:

A breaks apart 42 into 40 and 2.

B is not equivalent because it uses 4 instead of 40.

C breaks apart 562 into 500, 60, and 2.

D breaks apart both factors completely.

E does not represent 562 because it leaves out place values.

Correct response: What are A, C, and D?

500

Clue: A community center has 8,640 chairs. They are arranged equally in 36 rows. Each row is then divided into 4 equal sections. How many chairs are in each section?

Break the problem into two smaller division problems.

First divide by the number of rows.

Then divide the chairs in each row by the number of sections.

Use the multiplication facts

36×240=8,64036×240=8,640

and

4×60=2404×60=240

A place value chart can help track the quotient.

Work:

First find the number of chairs in each row:

8,640÷36=2408,640÷36=240

Then divide each row into 4 sections:

240÷4=60240÷4=60

Or divide in one step:

8,640÷(36×4)8,640÷(36×4)

8,640÷144=608,640÷144=60

Correct response: What is 60 chairs?