Length, Perimeter and Area

Transcription

1 G Student Book Name

2 Series G Contents Topic Units of length (pp. 8) choose units of measurement convert measurements size me up! how long? Date completed Topic Perimeter (pp. 9 6) measure perimeters perimeters of composite shapes circumference circle work perimeter puzzles Topic Area (pp. 7 6) square units animal rescue ) Series Authors: Rachel Flenley Nicola Herringer maps where will it take you? Please note: Copyright

3 Units of length choose units of measurement metre 000 m = km kilometre a The length of your nose c The length of an Olympic swimming pool d e The height of a basketballer g The length of the Trans-Siberian h Name things you would measure in mm, cm, km: mm cm km G

4 Units of length choose units of measurement 5 mm cm m you can cover the item with a counter. Obviously there may be more than choice for an object. For hand span a french fry London to Paris your tongue length G

5 Units of length convert measurements cm mm cm = ( 0) mm = 0 mm cm m cm = ( 00) m = 0. m Express the lengths shown on the ruler in ways: 0 cm a c d a mm cm mm cm c mm cm d mm cm a 00 mm = cm 05 mm = cm c 8 8 mm = cm d m = cm e 9 m = cm 50 m = cm Convert these lengths to metres: a 00 cm = m 8 cm = m 0 mm = cm 00 cm = m c 50 mm = m d 8 cm = m 000 m = km e cm = m mm = m g mm = m h 87 cm = m i 98 mm = m G

6 Units of length convert measurements to cm: cm 8 mm. m convert cm.8 cm 0 cm a cm 0 mm m mm 5 m 50 cm c.5 m 00 cm 5 mm 5 Use these Guinness World Record Source: Guinness World Book Records 008 metres millimetres m cm 95 mm Tallest living person.57 m 57 cm mm m 5 67 cm mm 7.5 m cm 7 5 mm Smallest tooth m cm mm 0.7 m cm mm 7 G

7 Units of length estimate and measure a c d a 6 cm 7 cm c 7 cm d 8 cm a A basketballer is about metres high. c d e metres 8.6 G 5

8 Units of length estimate and measure Comparing lengths or heights with a known measurement is a useful strategy. The known a c d 5 Actual measurement 5 G

9 Size me up! investigate ready you will work with a partner to compare the length lengths of string. A ruler may also help. What to do elbow. Do you think this is true for you? Test it out. circumference of your wrist. Test that one out. What to do next G 7

10 How long? apply ready What to do A B C 5 cm 0 cm + 8 cm cm Group average.5 m. m 0. m 5 What to do next 8 G

11 Perimeter measure perimeters is the perimeter. Perimeter 5 a c cm P = cm cm cm P = cm cm cm 5 cm cm d e P = cm cm P = cm cm 5 cm 5 cm P = cm cm Do you need to P = cm G 9

12 Perimeter measure perimeters measuring cm. cm.5 cm.5 m.5 m m m m m m m a P = P = c P = d P = Width Perimeter 6 cm. cm.5 mm mm 5.5 m.56 m 50 cm. m 5 a cm 0 cm 0 cm 6 mm 5 mm 0 mm c. cm cm. cm d cm 6 cm 7. cm e 6.6 cm mm 60 mm 0 G

13 Perimeter perimeters of composite shapes 7 m 6. m. m 8 m m m 6. m. m 5. m. m.8 m 7. m m m. m 5. m. m. m m. m a P = P = c P = * m km km km m m m m.5 m m km 5 km a P = P = c P = * G

14 Perimeter perimeters of composite shapes 0 m 6 m 5 m m? m 5 m +? m = 0 m 0 m 5 m = 5 m m +? m = 6 m 6 m m = m? m The perimeter of this shape is therefore m. 5 mm 8 mm 60 mm 5 mm 7.5 m. m.5 m mm 8 mm 0 mm mm. m. m mm a P = P = c P = * 5 0 mm 0 mm 6. m. m 5. cm cm 5. cm P = 0 mm P = 6.6 m P = cm * a in length. Another is cm. What is my perimeter? What is my perimeter? c in length. What is my perimeter? G

15 Perimeter perimeters of composite shapes 7 8 G

16 Perimeter circumference are no straight lines to help us. Diameter 5 the circumference? G

17 Circle work investigate ready What to do (walker) stretches the string out. What to do next be? G 5

18 Perimeter puzzles solve What to do Solve these perimeter puzzles: a The perimeter of the triangle is m. long. c W = d what was the perimeter of the original square? P = G

19 Area square units cm cm a c Area = cm Area = cm Area = cm d e Area = cm Area = cm Area = cm Do you need to use whole G 7

20 Area square units For larger areas such as a tennis court we use square metres (m²) A square kilometre is m². m m km km a We also use hectares (ha) to measure area. These are larger than square metres but smaller than square kilometres. We use them for measuring spaces such as farms or parks. 00 m 00 m 00 m 00 m = = ha a m² ha m² ha c m² ha d m² ha e m² ha m² ha g ha m h 9 ha m i ha m m² ha k m² ha l m² ha 5 a This page c A farm d A mobile phone screen e A city park g h 8 G

21 Area find area using formulae Area = cm cm = 8 cm² cm cm a c m m cm m cm m A = A = A = * a A rectangle measuring 8 cm 5 cm c A pool measuring 5 m 0 m d A phone measuring.5 cm 0 cm e A book measuring 5 cm cm g h A rug measuring 0. m. m a carpet she wants costs $50 per m c d W = W = G 9

22 Area find area using formulae Triangle = cm² = The formula for this is: cm cm m cm 0 cm m a Area = cm Area = cm c Area = m 6 cm cm cm 5 cm d Area = cm e Area = cm * 5 6 cm m 6 m cm 9 m 8 m a Area = cm Area = m c Area = m d e * 0 G

23 Area find area of irregular and composite shapes Not all shapes are regular triangles or rectangles. We have to shapes as well. m 5 m 70 m cm m 0 m 0 m 6 cm 6 cm cm 8 m 0 m a c 6 cm 5 cm 5 cm m 0 cm 8 cm m 5 m 0 cm 8 cm d e G

24 Area find area of irregular and composite shapes cm cm a A = cm² A = cm² c A = cm² one colour, then d A = cm² e A = cm² the right, draw an irregular area amount: a 800 m 00 m c 500 m 0 m 0 m G

25 Area area and perimeter Do shapes with the same area have the same perimeter? cm cm Width Area cm cm cm cm G

26 Area area and perimeter a The perimeter of a square is 8 cm. What is its area? what is the area of the rectangle? c The area of a square is 6 m². What is its perimeter? G

27 Area and perimeter puzzles solve What to do family room using the sofa cushions. There are 8 she can make for herself that is brother-free? a be the area? c are involved in work out the area G 5

28 Animal rescue investigate ready Four African animals have been stolen by smugglers. animals to their natural habitat. You have four enclosures in which to transport the animals select the right one for each animal. What to do the animals. Guess, check and improve m² m² 6 m² m² W m m².5 m² m² Elephant W m 6 m² 6 m² m² 0 m² 5 m² W m W m G

29 Scale and distance scale drawings cm = 5 km right represents km, a c km km km d km e km a cm cm c cm d cm e cm cm mm 5 a From the roller coaster to the show bags. From the clowns to the big top. c From the Ferris wheel to the big top. cm represents 50 m d to the roller coaster. You are now feeling e Show your journey on the map. G 7

30 Scale and distance scale drawings Now design your own map: a Draw 5 places on the map. c Write problems on another piece d e cm represents 7 Bath Bedroom Wall A a What is the scale? What is the perimeter of the apartment? c d e You want to buy a plasma TV that takes up the length of cm metres g h 8 G

31 Scale and distance maps Parliament Captain Cook East What does each Arena Sidney Bowl Park cm = 000 m a c d e G 9

32 Scale and distance maps Berri a c d cm = 0 km a c Summer Bay km 7 km 5 km 55 km 55 km d The car costs are as follows: 0 G

33 Scale and distance speed, time and distance a 0 km in hours 0 km in 8 hours c 0 km in hour d 0 km in hours e 80 km in 6 hours 5 km in hour a c d km/h km/h km/h km/h a c 0 6 d Distance Distance Distance Distance Time Time Time Time G

34 Scale and distance speed, time and distance a into three 0 minute does the plane travel in c hours. What is its average d hours. What is his e A miniature train travels 00 km in hours. What is 5 B E cm 5.5 cm 0.5 cm A cm cm D C cm = m a G

35 All roads lead to Rome apply ready Copenhagen Amsterdam Prague Paris 87 Vienna 587 Naples What to do a Copenhagen to Vienna? c d G

36 Where will it take you? investigate ready Styler Stomper What to do Use a separate piece of paper. Car: Distance to travel: Day Start End Distance Did you travel more distance or less than G