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Unit 9: Geometry – 6 th Grade. Lesson 1: Area and perimeter. Cornell Notes Header. Vocabulary. perimeter – The distance around a figure, measured in linear units i.e. ft., in., m. area – The amount of surface a figure covers, measured in square units. Perimeter of a Rectangle.

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unit 9 geometry 6 th grade

Unit 9: Geometry – 6th Grade

Lesson 1: Area and perimeter

vocabulary
Vocabulary
  • perimeter –
  • The distance around a figure, measured in linear units i.e. ft., in., m.
  • area –
  • The amount of surface a figure covers, measured in square units.
perimeter of a rectangle
Perimeter of a Rectangle
  • Perimeter of a Rectangle: P = 2l + 2w
  • where l = length w = width
  • Ex. A carnival is going to be held in your school’s parking lot. How much rope is needed to enclose the carnival if the parking lot is 200 ft. by 100 ft.?
  • 200 ft.
  • 100 ft. P = 2l + 2w
  • = 2(200) + 2(100)
  • = 400 + 200
  • = 600 ft.
area of a rectangle
Area of a Rectangle
  • Area of a Rectangle: A = lw
  • where l = length w = width
  • Ex. What is the area of the school’s parking lot?
  • 200 ft.
  • 100 ft. A = lw
  • = 200(100)
  • = 20,000 ft2
perimeter of a square
Perimeter of a Square
  • Perimeter of a Square: P = 4s where s = length of side
  • Ex. Find the perimeter of the softball diamond with a side length of 60 ft.
  • 60 ft.
  • 60 ft. P = 4s
  • = 4(60)
  • = 240 ft.
area of a square
Area of a Square
  • Area of a Square: A = s2where s = length of side
  • Ex. Find the area of the softball diamond.
  • 60 ft.
  • 60 ft. A = s2
  • = (60)2
  • = 3,600 ft.2
solving for an unknown dimension
Solving for an unknown dimension
  • Write and solve an equation to find the width of a rectangle. Its area is 195 square meters and its length is 15 meters.
  • A = lw
  • 195 = 15w (Substitute in known values into the formula.)
  • 195= 15w (Divide both sides by 15 to find the value of w.)
  • 15 15
  • 13 m = w The rectangle is 13 m wide.
the key to solving geometry problems
The key to solving geometry problems
  • Formula
  • (write the formula for the perimeter, area, volume, etc. of the shape)
  • Fill in
  • (fill in the known values)
  • Solve
  • (solve for the unknown value)