Exploring Rational Expressions in Grade 6 Mathematics

This video tutorial by Matt covers the concepts of surface area and volume, explaining the differences between them and how they relate to three-dimensional shapes. It discusses various units of measurement for length, area, and volume, and provides practical examples such as measuring the perimeter of a parking lot and the volume of a semi-truck. The video includes an activity where students build shapes using cubes to explore surface area and volume. It also compares different prisms to highlight how surface area and volume can vary. The session concludes with a summary and homework instructions.

What does surface area measure?

• The covering on the outside of a 3D shape

• The length around a shape

• The distance from one point to another

• The inside space of a 3D shape

Which unit would you use to measure the volume of a swimming pool?

• Square meters

• Cubic meters

• Meters

• Square kilometers

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

How many cubes are used to build each shape in the second activity?

• 16 cubes

• 8 cubes

• 4 cubes

• 12 cubes

Tags

CCSS.5.MD.C.5A

CCSS.6.G.A.2

What is the surface area of Prism A with a base of 1cm by 11cm?

• 46 cm squared

• 44 cm squared

• 22 cm squared

• 11 cm squared

Tags

CCSS.7.G.B.6

If you double the number of cubes, will both the volume and surface area double?

• True

• False

• Only the surface area doubles

• Only the volume doubles

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

What unit is appropriate for measuring the surface area of a tissue box?

• Square centimeters

• Cubic centimeters

• Centimeters

• Square meters

What is the volume of a shape built from 4 snap cubes?

• 4 cubic units

• 12 square units

• 8 cubic units

• 16 square units

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Can two figures with the same volume have different surface areas?

• Yes, in most cases

• No, never

• Yes, always

• Yes, but only in special cases

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

What is the correct way to calculate the area of a triangle?

• Base plus height

• Half the base times the height

• Two times the base plus height

• Base times height

Tags

CCSS.6.G.A.1

What is the surface area of a prism net with sides of 5, 2, 5, and 2, and a length of 10?

• 100 cm squared

• 120 cm squared

• 140 cm squared

• 160 cm squared

Tags

CCSS.6.G.A.4