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© Nuffield Foundation 2011 Free-Standing Mathematics Activity Perimeter and area
© Nuffield Foundation 2011 The gardener needs to work out the perimeter and the area of the lawn How much edging do I need to go around the lawn? How much lawn feed do I need?
© Nuffield Foundation 2011 Perimeter of a rectangle length width length width = length + width + length + width Think about Is there another way to find the perimeter? Think about Is there another way to find the perimeter? lawn 5 m 3 m = 5 + 3 + 5 + 3 Perimeter of this lawn = 16 m The perimeter of a shape is the total length of its sides
© Nuffield Foundation 2011 Area Area measures the surface of something 1 metre 1 square metre 1 m 2 1 cm 1 cm 2 1 mm 1 mm 2
© Nuffield Foundation 2011 Area of a rectangular lawn 15 square metres The area is 5 metres long 3 metres wide Area of a rectangle= length × width = 15 m 2
© Nuffield Foundation 2011 page 21 cm 30 cm = 30 × 21 Area of the page = 630 65 m 32 m = 65 × 32 Area of field = 2080 cm 2 Area of rectangle = length × width m2m2 field
© Nuffield Foundation 2011 5.2 m 4.5 m 3 m 1.5 m 2.2 m To find the perimeter of this L-shaped room Perimeter 3+ 1.5+ 2.2+ 3 + 5.2+ 4.5= 19.4 m Think about What else is needed? Think about What else is needed?
© Nuffield Foundation 2011 5.2 m 4.5 m 3 m 1.5 m 2.2 m A B Area of A= 4.5 × 3 = 13.5 m 2 Area of B = 3 × 2.2 = 6.6 m 2 Total area =13.5+ 6.6= 20.1 m 2 Think about How can we do this? Think about How can we do this? To find the area of this L-shaped room
© Nuffield Foundation 2011 5.2 m 4.5 m 3 m 1.5 m 2.2 m A B Another way Area of A = 3 × 1.5 = 4.5 m 2 Area of B = 5.2 × 3 = 15.6 m 2 Total area =4.5+ 15.6= 20.1 m 2 To find the area of this L-shaped room
© Nuffield Foundation 2011 5.2 m 4.5 m 3 m 1.5 m 2.2 m Yet another way! Area of large rectangle = 5.2 × 4.5 = 23.4 m 2 Area of small rectangle = 2.2 × 1.5 = 3.3 m 2 Total area = 23.4 − 3.3 = 20.1 m 2 Think about Which way was best? Think about Which way was best? To find the area of this L-shaped room
© Nuffield Foundation 2011 What does the word ‘perimeter’ mean? At the end of the activity How do you find the perimeter of a shape? What units are used for perimeters? How do you find the area of a shape? What units are used for areas? How would you find the area of this shape? Car park Play area Carpet Mirror surround
Perimeter Perimeter of a shape is the total length of its sides. Perimeter of a rectangle length width length width = length + width + length + width P.
Area of a Rectangle A=LW Length times Width Length width = 20 cm =12 cm A=20 12 A=240 cm 2.
1 A field is enclosed by a rectangular fence 50m by 20m. It is changed so the fence is now a square. By how much has the area increased?
1.3 Using Formulas Geometry Perimeter Measures the distance around the edge of any flat object. To find the perimeter of any figure, ADD the lengths.
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Find the area for the rectangle given that each unit is equal to 1 cm 2. A = L x W A = 6 x 9 A = 54 cm 2.
Squares and Square Root WALK. Solve each problem REVIEW:
Perimeter The sum of all the sides of a closed plane figure. 5m 3m 1m.
Q. What do we mean by finding the perimeter of a shape? Q. What strategies might you use for calculating the perimeter of a rectangle?
Perimeter is the distance around an object. If you started at one point and went all the way around until you got to where you started, the perimeter.
WU # y +1 < 19 5y +2 -y > 8 -7y -14 4y – 7y -7 < y y + 6 21 y < 2 y - 3 y > -4 y 2.
© Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Measure it!
Area & Perimeter An Introduction. AREA The amount of space inside a 2-dimensional object. Measured in square units cm 2, m 2, mm 2 Example: 1 cm 2 cm.
+ Pyramids and Prisms. + Solid An object with 3 Dimensions Height, Width, Length.
Bridging the Gap Problem-Solving Pupils Version. Note to Pupils Do you know the difference between Area and Perimeter? Do you have problems knowing how.
Squared and Cubed Conversion Factors. Measured dimensions of a rectangle: Find area of rectangle. A = L. W = (9.70 cm)(4.25 cm) length (L) = 9.70 cm width.
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The distance around the outside of a shape is called the perimeter. 8 cm 6 cm 8 cm 6 cm The perimeter of the shape is = 28cm. First we need.
SECTION 11.1 AREAS of RECTANGLES and SQUARES. WARM UP 1)Find the area and perimeter of a square that is 5 inches long. 2)The area of a square is 64 cm.
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Perimeter and Area. Area Area is the amount of surface space inside of a flat object Area 4 feet 2 feet 3 feet 2 feet 2 X 4 = 8 feet squared 3 X 2 = 6.
Unit 5 PowerPoint Presentation Victoria Bell-Netzelman July 2011 – EDUC 5131.
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We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately calculate the area and perimeter of rectangles.
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Perimeter & Area. Today’s Objectives: Learn what it means to find perimeter and area. Practice finding or estimating the perimeter and area.
PERIMETER OF IRREGULAR FIGURES 2/26/16. WARM-UP FIND THE PERIMETER OF THE SQUARE 1 ¼ inches 1 ¼ + 1 ¼ + 1 ¼ + 1 ¼ = 5 inches or 4(1 ¼ ) = 5.
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