Grade 06 Mathematics - EC: M06.C-G.1.1.6

Continuum of Activities

The list below represents a continuum of activities: resources categorized by Standard/Eligible Content that teachers may use to move students toward proficiency. Using LEA curriculum and available materials and resources, teachers can customize the activity statements/questions for classroom use.

This continuum of activities offers:

Instructional activities designed to be integrated into planned lessons
Questions/activities that grow in complexity
Opportunities for differentiation for each student’s level of performance

Grade Levels

6th Grade

Course, Subject

Mathematics

Related Academic Standards / Eligible Content

M06.C-G.1.1.6 M06.C-G.1.1.6

Determine the surface area of triangular and rectangular prisms (including cubes). Formulas will be provided.

Activities

Find the surface area.

Find the surface area.

Fill in the chart using the information from the diagram to find the surface area of the right triangular prism.
Based on the diagram below, what are the dimensions of the net? Calculate the surface area of the net. Show your work.

A rectangular box does not have a top on it. If the dimensions are 6 inches long, 2 inches wide, and 5 inches high what is the surface area of the box? Show/explain your work.

Draw a net of a triangular prism that is 3 cm long, 10 cm wide, and 6 cm high. Label the diagram with the given measurements. If this net makes a box that you were going to paint how much surface area do you need to cover with the paint? Show your work.

You are wrapping presents to go to a birthday party. You have one box left that measures 11 inches long, 8 inches wide, and 3 inches high. If you have enough wrapping paper to cover 200 inches², can you wrap the gift?

Answer Key/Rubric

208 cm²

54 inches²
Answers as follows:

Length = 3 units
Width = 2 units
Height= 1 units
SA of rectangular prism = 22 units²

Surface area of the box without the top is 92 inches²

Student work might include, but is not limited to:

Adjust the formula to remove the box top:

Find the surface area of the remaining box

Nets may vary, but should look similar to:

Student work to find surface area might include, but is not limted to,

Find the area of one of the rectangles

Multiply the area of the rectangle by 3, since they are identical:
(30)(3) = 90
90 cm² for all three rectangles

Find the area of one of the triangles

Multiply the area of the triangle by 2, since they are identical:
(30)(2) = 60
60 cm² for both triangles

Add all of the areas together:
90 + 60 = 150 cm²

No, you cannot wrap the gift.

Student work might include, but is not limited to:

Surface area of the present is 290 inches²

290 inches² > 200 inches²

If you have 200 inches² of wrapping paper you will not have enough paper to cover the entire gift.