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Introduction to Geometry

Introduction to Geometry. The students will find the perimeter of a rectangle. Mr. Nelson. Parallel. Two lines that stay the same distance apart at all times. 7 yd. 20 yd. 20 yd. 7yd. Rectangle. Four sided object All angles are 90˚ Opposite sides are equal in length. 13 in. 4 in.

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Introduction to Geometry

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  1. Introduction to Geometry The students will find the perimeter of a rectangle Mr. Nelson

  2. Parallel • Two lines that stay the same distance apart at all times.

  3. 7 yd 20 yd 20 yd 7yd Rectangle • Four sided object • All angles are 90˚ • Opposite sides are equal in length 13 in 4 in 4 in 13 in

  4. 8 yd 8 yd 8 yd 8 yd 7 in 7 in 5 cm 5 cm 5 cm 7 in 7 in 5 cm Square • A rectangle • What makes it a rectangle? • A special rectangle • All sides are equal

  5. 12 cm 12 cm P = 48 cm 12 cm 4 m 12 cm P = 8.5 m 2.5 m 2 m Perimeter • The distance around the outside of a shape. 2.5 mi 7 mi P = 19 mi 7 mi 2.5 mi

  6. 26 ft. P = 88 feet 26 ft. Finding Perimeter • Annette measured the perimeter of her garden and wrote the dimensions down on a piece of paper. Part of the paper was torn off leaving only the perimeter and length. • Perimeter – 88 feet • Length – 26 feet • What is the width?

  7. 26 ft. P = 88 feet 26 ft. Finding Perimeter • Perimeter – 88 feet • Length – 26 feet • What is the width of the garden? • First, understand the problem?

  8. 26 ft. P = 88 feet 26 ft. Understand • What do we know? • The perimeter is the length of all the sides added up. • We know the perimeter is 88 feet • We know the length is 26 feet • We know we need to find the width using what we know.

  9. 26 ft. P = 88 feet 26 ft. Consider Options • Use a formula • Write and solve an algebraic expression • Subtract and divide • Guess and check

  10. 26 ft. P = 88 feet 26 ft. Choose an Option • I choose to use subtraction and division • I am comfortable with it • I can use algebra to check my answer

  11. 26 ft. P = 88 feet 26 ft. Work the Plan • The perimeter is the length of all the sides added up. • Subtract what we are given. • The two unknown sides add up to 36 feet. • The two unknown sides are equal. • Divide 36 by 2

  12. 26 ft. P = 88 feet 26 ft. Does it make sense? • The perimeter is the length of all the sides added up. • Use algebra with x as the variable for the unknown side • Solve for x • Yes it does make sense.

  13. Solution • The width of Annette’s garden is 18 feet.

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