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Area in the Real World




 

Videos to help Grade 6 students find the area formula for right triangles and or all other triangles.

New York State Common Core Math Module 5, Grade 6, Lesson 6

Related Topics:
Lesson Plans and Worksheets for Grade 6

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 6

Common Core For Grade 6

Lesson 6 Student Outcomes

Students determine the area of composite figures in real-life contextual situations using composition and decomposition of polygons.

Students determine the area of a missing region using composition and decomposition of polygons.

Discussion

Area problems in the real world are all around us. Can you give an example ofwhen you might need to know the area of something?

Lesson 6 Problem Set Sample Solutions

1. Below is a drawing of a wall that is to be covered with either wallpaper or paint. It is 8 ft. high and 6 ft. long. The window, mirror, and fireplace will not be painted or papered. The window measures 18 in. by 14 ft. The fireplace is5 ft. wide and 3 ft. high, while the mirror above the fireplace is 4 ft. by 2 ft.

a. How many square feet of wallpaper are needed to cover the wall?

b. The wallpaper is sold in rolls that are 18 in. wide and 33 ft. long. Rolls of solid color wallpaper will be used, so patterns do not have to match up.

i. What is the area of one roll of wallpaper?
ii. How many rolls would be needed to cover the wall?

c. This week the rolls of wallpaper are on sale for $11.99/roll. Find the cost of covering the wall with wallpaper.

d. A gallon of special textured paint covers 200 ft2 The wall needs to be painted twice (the wall needs two coats of paint). Find the cost of using paint to cover the wall. and is on sale for $22.99/gallon.

Closing

What real-life situations require us to use area?

Sometimes measurements are given in inches and area is calculated in square feet. How many square inches are in a square foot?





Lesson 6 Exit Ticket

Find the area of the deck around this pool. The deck is the white area in the diagram.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.




 

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