Grade 06 Mathematics - EC: M06.C-G.1.1.2

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.1.1.2 M06.C-G.1.1.2

Determine the area of irregular or compound polygons. Example: Find the area of a room in the shape of an irregular polygon by composing and/or decomposing.

Activities

Find the area. Be sure to show all work.

Find the area. Be sure to show all work.

You are painting a project in art class and are running low on the color that you like. You have enough paint to cover 50 square inches of paper. Do you have enough to finish the project pictured below? Show your work.

Party Hall hosts large parties and wants to create a new brochure to mail out. One of the rooms is shown below. Find the square footage of the room for the brochure. Be sure to show your work.

You are getting a new rug in your bedroom. Your parents said that you have to pay for half of it because you spilled food on the old rug. If it costs $20 per square yard how much will you have to pay based on the following diagram of your room?

You are helping plant a garden at your house this spring. You need to know how many bags of dirt to buy. Each bag will cover 4 square feet. How many bags of soil would you need to buy to cover the garden below?

Answer Key/Rubric

85 cm²

Work may include the following, but is not limited to:

49 in²

Work may include the following, but is not limited to:

Missing side of rectangle 1 can be found by subtracting the whole height of 7 minus the height of the bottom rectangle 3.5 (7 – 3.5 = 3.5)

Yes, you have enough paint to finish the project.

Work may include the following, but is not limited to:

Since 36 in²< 50 in² you will have enough paint to finish the project.

174 ft²

Work may include, but is not limited to:

Cut up the irregular shape into a rectangle and trapezoid:

Find bottom of trapezoid by subtracting 18 – 4 to get a base of 14 ft.

Add 6 + 6 to get 12 ft. the height of the trapezoid.

$120

Students work might include, but is not limited to:

Break the shape up into two rectangles

Total Area = 12 square yards

Multiply cost by amount needed.
(12)(20) = $240 Total cost

Divided cost in half.
$240 ÷ 2 = $120

35 bags of dirt

Students work may include, but is not limited to:

Break the shape into three rectangles (two are the same)

Total area = 138 ft²

Each bag of dirt covers 4 ft², so you have to divide the total area by the area that each bag covers. 138 ÷ 4 = 34.5.

You need to purchase 35 bags of dirt to make sure you have enough, you cannot purchase a half a bag of dirt.