Intro

 Draw a square  Draw a diagonal from the top right corner to the bottom left.  Draw a line from the centre of the right hand side of the square to the centre of the bottom line of the square.  From the centre of this line draw a line to the top left corner of the square.  From the centre of the square, draw a line vertically down to the centre of the bottom line  Finally, from the centre of the bottom line, draw a line to the top left corner of the square.  Now draw on paper the shape that you 'see in your head'. How good does your right brain work? Visualization

How good is your sense of Direction  Point to the tuck shop  Point to the library  Point to St Heliers Bay  Point to Sylvia park  Point to sky tower

How Good is Your Metric Sense  The length of a hockey field is nearest to a) 100mm b) 100cm c) 100m d) 100km  The weight of a car is a) 10kg b) 100kg c) 1,000kg d) 10,000kg  The weight of a banana could be a) 1.5g b) 15g c) 150g  The capacity of a teaspoon is about a) 5ml b) 15ml c)50ml d) 150ml  The capacity of a glass is about a) 0.3ml b) 3ml c) 300ml d) 3000ml  The volume of a small car trailer is about a) 0.05m 3 b) 0.5m 3 c) 5m 3 d) 50m 3

cm m mmkm × ÷ ÷10×10 ÷1000×1000 ×100 ÷100 ÷1000 ×1000 ÷ ×100000

ton kg g mg km m cm mm l ml Which of the units would be used?  Length of a building  The quantity of water used in a shower  The mass of an ant  The weight of tea in a tea bag  The thickness of a ruler  The radius of an aspirin  The capacity of a fridge  The amount of milk added to a cup of coffee  The weight of a loaded truck  A spoonful of medicine  The weight of a sack of potatoes m l mg g mm l ml ton ml kg

AccuracyRounding:  864m to the nearest 10m  9430 km to the nearest 100km  km to the nearest 0.1km  L to the nearest 1L  g to the nearest 100mg  L to the nearest 10ml  ton to the nearest 100kg  kg to the nearest 10g

Speed

Estimate:  The speed when walking  The speed when jogging  The speed when running  The full speed of high-speed rail 200km/h 200km/h  The economical cruising speed of a plane 907km/h 907km/h  The speed of the spacecraft Helios sent off to study the sun in ,000km/h 250,000km/h  The speed of light m/s m/s How’s your sense of SPEED? Can you visualize a car travelling at 60km/h? 5km/h 20km/h 33km/h

A. 100m in 10 sec _____ m in 1min _____ m in 1min _____ m in 1hour _____ m in 1hour Speed=_____ km/h Speed=_____ km/h D. 100m 20 sec _____ m in 1min _____ m in 1min _____ m in 1hour _____ m in 1hour Speed=_____ km/h Speed=_____ km/h B. 100m in 12 sec ____ m in 1 min ____ m in 1 min ____ m in 1 hour ____ m in 1 hour Speed= _____km/h Speed= _____km/h E. 100m in 30 sec ____ m in 1 min ____ m in 1 min ____ m in 1 hour ____ m in 1 hour Speed=____km/h Speed=____km/h C. 100m in 15 sec ____ m in 1 min ____ m in 1 min ____ m in 1 hour ____ m in 1 hour Speed=____km/h Speed=____km/h F. 100 m in 60 sec ___ m in 1 hour ___ m in 1 hour Speed=____km/h Speed=____km/hTime For 100m SpeedKm/h

World record in 2008 Beijing Olympic AthleteTime Usain Bolt 100m sprint 9.96sec Michael Phelps 100m butterfly 50.58sec

Rate Applications

 Which is faster: a speed of 20m per sec or a speed of 70km/h  Which is increasing in volume more quickly: water accumulating at 0.5ml per min or at 0.05L per hour  Which is cheaper: 5kg for $2.25 or 1.5kg for 75c  Which purchase offers better value: 1kg for $1.2 or 600g for 80c

facts  The Marathon is the standard km and the Half Marathon is 21.09km.  The Winner of the Auckland Half Marathon took one hour and 8 minutes 24 seconds.  Jenna took 2 hours 9 minutes 37 seconds. Questions:  What was the speed of the winner and Jenna in km/h  What was the speed of the winner and Jenna in m/s  What was the average time it took for the winner to run one km (in mins)?  What was the average time it took for Jenna to run one km? (in mins)

Answers  Speed of the Winner: 18.5km/h  Speed of Jenna:9.76km/h  Average time it took for the winner to run one KM? 3.24min  Average time it took for Jenna to run one KM? 6.14min

 Over 14 years, Mr Keyter milked 780,000 snakes, obtaining 3960 litres of venom. (Guinness Book of record) a) How many litres of venom did Mr Keyter milk per year?____ L/yr b) Write the unit of the calculated rate: /780000=5.1_____ /780000=5.1_____  Mr Tan exchanged NZ$360 for yen. What was the exchange rate (yen/NZ$)  Mr Tan exchanged 40,000 yen for £ What’s the exchange rate (£/yen)  Mr Tan bought a souvenir for £4.65. How much wuold that be in $NZD?  Mrs Thomas has a private pool which holds 30m 3 of water. Each days she adds 240g of pool chemicals to the water How many mg of chemicals is that per litre of water.

Scales

Scales 1) The scale of a map is 1cm:300km.  Distance on the map is 7.5cm. What is the real distance?  Real distance is 700km,what is the distance on the map? 2) The scale of a map is 1cm:5km. What is the real distance when two towns are 46mm apart on the map? 2) Two cities are 250km apart. The distance on map is 22cm. What is the scale of the map?

Revision

Measurement Revision  Conversion of units mm, cm, m, km g, kg, ton sec, min, hour ml, l  Choose appropriate measurement for items. Ex. The capacity of a fridge  Litre Ex. The capacity of a fridge  Litre  Converting between 12 hour time and 24 hour time  Perimeter and area of rectangle, square, parallelogram, triangle, circle, trapezium, rectangle, square, parallelogram, triangle, circle, trapezium, Volume of Prism Volume of Prism Measure the length of lines to the nearest cm. Measure the length of lines to the nearest cm. Big  small  Small  Big ÷ Base area  height Determine base area!!!