Math Journal

NF: Numbers and Fractions

Leslie Smith

NBT: Numbers and Base Ten

My Math Journal

MD: Measurement and Data

G: Geometry

OA:: Operations and Algebraic Thinking

DETERMINING VOLUME BY UNIT CUBES 5.MD.4 (5.MD.3.4)

1

Volume Using Unit Cubes Unit Cubes - a cube whose sides are 1 unit long, high, and wide.

Volume - the amount of space inside a solid figure.

1 cm 1 cm

1 cube

1 cm

V = L x W x H

Mathable 8/26/15

Block 2 5.MD.4 (5.MD.3.4) 4

Think Tank Question # 1

Explain how unit cubes can be used to help measure volume.

Unit cubes measure 1 cubit unit for length, width, and height.

Therefore, unit cubes may be counted to determine the volume of the figure.. Secondly, if the figure is a rectangular prism, the unit cubes may be used to count the length, the width, and the height so that these numbers may be multiplied together to give the volume.

4

Think Tank Question # 2

Draw a different prism with the same volume as the prism in Section 2.

Vold= 8 x 3 x 4 12 I used 3 x 4 = 12 and found another factor which was 6 x 12, then used it for length and width.

Vnew= 8 x 6 x 12 12

12

V= 8 x 6 x 12 V= 96 cubic units 8

6

What is the volume?

2

4 3 8 V= l x w x h V= 8units x 3units x 4units x 4units 3 V= 24units2 x 4units V= 96units 3 What is the volume?

1

3

3 5 V= l x w x h

V= 5units x 3units x 1unit V= 15units 2 x 1unit V= 15units 3

What is the volume?

+ 1

2

+3 3 +

3

3 + 2 1+ 1 + 2 + 3 + 3 + 1 + 2 + 3 = 15 unit cubes V= 15units 3

Mathable 8/26/15

Block 2 5.MD.4 (5.MD.3.4) 4

Think Tank Question # 1

Explain how unit cubes can be used to help measure volume.

Unit cubes measure 1 cubit unit for length, width, and height.

Therefore, unit cubes may be counted to determine the volume of the figure.. Secondly, if the figure is a rectangular prism, the unit cubes may be used to count the length, the width, and the height so that these numbers may be multiplied together to give the volume.

4

Think Tank Question # 2

Draw a different prism with the same volume as the prism in Section 2.

Vnew= 8 x 6 x 12 12

Vold= 8 x 3 x 4 12 I used 3 x 4 = 12 and found another factor which was 6 x 12, then used it for length and width.

12

V= 8 x 6 x 12 V= 96 cubic units 8

6

Journaling with Math Bootcamp Strategies

1.

T = ÷

23

1

2

5

3

+

×

$3

-

23 = 5p + 3

3.

Mr. Edwards

+

$63

$63

Book

2

+

$50

Audio CD

$25

4

+

$9

$36

$63 + $50 + $36 = $149

$149

Rock Climbing Daily Review 8/26/15

Block 2 Review 1

2.

6 containers

4.

Time (sec)

30

60

90

Home Printer

1

2

3

4

5

Office Printer

4

8

12

16

20

20 pages

120 150