Area and Perimeter Vocabulary Area Perpendicular Quadrilateral Trapezium

Area and Perimeter Vocabulary: Area Perpendicular Quadrilateral Trapezium Rectangle Geometry composite perimeter parallel kite rhombus length diagonals two dimensional triangle parallelogram square width height

What is Perimeter? » When you hear the word ‘perimeter', what do you think it means? » How do we measure perimeter? » Why is it important to be able to measure perimeter?

What is Area? » When you hear the word 'area', what do you think it means? » How do we measure area? » Why is it important to be able to measure area?

This might be helpful in distinguishing between Area and Perimeter. . .

What unit would you use to measure… 1. the length of a caterpillar 10. how far it is from the earth to the moon 2. the length of a netball court 11. measurements on house plan 3. the distance from San Remo to Adelaide 12. how long it takes to boil an egg 4. the length of an armbone 13. the amount of salt in a solution 5. the diameter of a CD 14. the weight of meat bought from the butcher 6. the height of a building 7. the duration of a song 8. the weight of flour in a bag 9. how much juice is in a glass 15. the length of a student's hair 16. the time it takes to race 100 m 17. the amount of water in a dam 18. the thickness of a ream of paper

Converting Units… Convert the following: 1. 5 km to m 2. 2. 4 m to cm 3. 18 cm to mm 4. 3 km to cm 5. 27. 6 m to mm 6. 50 mm to cm 7. 228 cm to m 8. 8700 m to km 9. 870 mm to m 10. 640 000 cm to km 5000 m 240 cm 180 mm 300 000 cm 27 600 mm 5 cm 2. 28 m 8. 7 km 0. 87 m 6. 4 km

1. mm to cm (divide by 10) a) 10 mm = ____ cm b) 60 mm = ____ cm c) 120 mm = _______ cm d) 95 mm = ____ cm 4. cm to mm (multiply by 10) a) 4 cm = ______ mm b) 10 cm = _____ mm c) 50 cm = ______ mm d) 120 cm = _____ mm 2. cm to m ( divide by 100) a) 100 cm = ____ m b) 500 cm = ____ m c) 900 cm = ____ m d) 640 cm = ____ m 5. m to cm ( multiply by 100) a) 5 m = ______ cm b) 1 m = ______ cm c) 20 m = ______ cm d) 6. 9 m = ______ cm 3. m to km ( divide by 1000) a) 1000 m = ____ km b) 4000 m = ____ km c) 9000 m = ____ km d) 3460 m = ____ km 6. km to m ( multiply by 1000) a) 1 km = ______ m b) 7 km = ______ m c)60 km = ______ m d) 5. 8 km = _____ m

Perimeter is… » The distance around the edge of a figure » Is measured in units (not square units!) » Make sure you write in any missing measurements before finding the perimeter.

Find the perimeter of this rectangle. Draw two more rectangles with whole number side lengths that have the same perimeter as the one above.

Find the perimeter of each rectangle, showing your working

Find the perimeter of each triangle, showing your working

Challenge questions… 1. 4. 2. 3. 5. 6. 7.

Area is… » » The amount of space that a figure encloses The number of square units that covers a shape or figure. It is two-dimensional It is always answered in square units

Guess who you think might have the hand with the largest area in the class. Draw around your hand on grid paper. Count the number of squares contained inside the outline (count if more than half a square). As you count, colour the squares to help keep count!) At the bottom of your drawing, write the number of squares your hand covers ( the area). See if you can work out the perimeter as well.

Foldable …

Area of a Rectangle: A=bxh =6 x 2 = 12 m 2

Area of a square: A = s 2 = 32 = 9 m 2

Area of a Triangle:

Composite Area…

Challenge questions…

Challenge questions… If the perimeter of a rectangle is 40 cm, and the area is 36 cm 2, what are the dimensions of the rectangle? A silkworm produces, on average, 500 metres of silk thread. How many silkworms would be needed to produce 10. 1 kilometres of thread? What is the area of a square whose perimeter is 8 cm?

Conversions: » 1 hectare is the normal measurement for land, particularly large properties. Your parents probably used a measurement called 'acres', which was an Imperial measurement which is no longer used (officially!) » 1 hectare = 10 000 m 2 » The diagram shows one hectare, which can also be thought of as 100 m by 100 m » This diagram can be used to convert between units of measurement:

Challenge questions… » Two 4 cm by 4 cm squares are placed carefully one on top of the other as shown here. » (i) Explain how the squares have been placed. » (ii) Find the area of the overlap of the squares » (iii) Find the total area of the shape.

For these squares find the area of overlap and the total area of each shape.