IntroIntro

Draw a squareDraw a square Draw a diagonal from the top right corner to the bottom left. 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 Draw a line from the centre of the right hand side of the

square to the centre of the bottom line of the square. 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 From the centre of this line draw a line to the top left corner

of the square. of the square. From the centre of the square, draw a line vertically down to From the centre of the square, draw a line vertically down to

the centre of the bottom line the centre of the bottom line Finally, from the centre of the bottom line, draw a line to the Finally, from the centre of the bottom line, draw a line to the

top left corner of the square. top left corner of the square. Now draw on paper the shape that you 'see in your head'.Now draw on paper the shape that you 'see in your head'.

How good does your right brain How good does your right brain work? Visualizationwork? Visualization

How good is your sense of How good is your sense of DirectionDirection

Point to the tuck shopPoint to the tuck shop Point to the libraryPoint to the library Point to St Heliers BayPoint to St Heliers Bay Point to Sylvia parkPoint to Sylvia park Point to sky towerPoint to sky tower

How Good is Your Metric SenseHow Good is Your Metric Sense The length of a hockey field is nearest to The length of a hockey field is nearest to a)a) 100mm b) 100cm c) 100m d) 100km100mm b) 100cm c) 100m d) 100km

The weight of a car isThe weight of a car isa)a) 10kg b) 100kg c) 1,000kg d) 10,000kg10kg b) 100kg c) 1,000kg d) 10,000kg

The weight of a banana could beThe weight of a banana could bea)a) 1.5g b) 15g c) 150g1.5g b) 15g c) 150g

The capacity of a teaspoon is about The capacity of a teaspoon is about a) 5ml b) 15ml c)50ml d) 150mla) 5ml b) 15ml c)50ml d) 150ml

The capacity of a glass is aboutThe capacity of a glass is abouta)a) 0.3ml b) 3ml c) 300ml d) 3000ml0.3ml b) 3ml c) 300ml d) 3000ml

The volume of a small car trailer is aboutThe volume of a small car trailer is abouta) 0.05ma) 0.05m3 3 b) 0.5m b) 0.5m3 3 c) 5m c) 5m3 3 d) 50m d) 50m3 3

cm m

mm km×1000000

÷1000000

÷10 ×10÷1000×1000

×100

÷100

÷1000×1000÷100000

×100000

ton kg g mg km m cm mm l mlton kg g mg km m cm mm l mlWhich of the units would be used?Which of the units would be used?

Length of a buildingLength of a building The quantity of water used in a showerThe quantity of water used in a shower The mass of an antThe mass of an ant The weight of tea in a tea bagThe weight of tea in a tea bag The thickness of a rulerThe thickness of a ruler The radius of an aspirinThe radius of an aspirin The capacity of a fridge The capacity of a fridge The amount of milk added to a cup of coffeeThe amount of milk added to a cup of coffee The weight of a loaded truckThe weight of a loaded truck A spoonful of medicineA spoonful of medicine The weight of a sack of potatoesThe weight of a sack of potatoes

ml

mg

gmmmm

lml

tonml

kg

AccuracyAccuracyRounding:Rounding: 864m to the nearest 10m864m to the nearest 10m 9430 km to the nearest 100km9430 km to the nearest 100km 13.56 km to the nearest 0.1km13.56 km to the nearest 0.1km 4.786 L to the nearest 1L4.786 L to the nearest 1L 0.238 g to the nearest 100mg0.238 g to the nearest 100mg 8.781 L to the nearest 10ml8.781 L to the nearest 10ml 13.894 ton to the nearest 100kg13.894 ton to the nearest 100kg 16.879 kg to the nearest 10g16.879 kg to the nearest 10g

SpeedSpeed

Estimate:Estimate: The speed when walkingThe speed when walking The speed when joggingThe speed when jogging The speed when runningThe speed when running The full speed of high-speed rail The full speed of high-speed rail 200km/h200km/h The economical cruising speed of a planeThe economical cruising speed of a plane 907km/h907km/h The speed of the spacecraft Helios sent off to study the The speed of the spacecraft Helios sent off to study the

sun in 1970sun in 1970 250,000km/h250,000km/h The speed of lightThe speed of light 299 792 458 m/s299 792 458 m/s

How’s your sense of How’s your sense of SPEEDSPEED??Can you visualize a car travelling at Can you visualize a car travelling at

60km/h?60km/h?

5km/h20km/h

33km/h

A.A. 100m in 100m in 10 10 secsec

_____ m in 1min_____ m in 1min

_____ m in 1hour_____ m in 1hour

Speed=_____ km/hSpeed=_____ km/h

D. 100m D. 100m 2020 sec sec

_____ m in 1min_____ m in 1min

_____ m in 1hour_____ m in 1hour

Speed=_____ km/hSpeed=_____ km/h

B. 100m in B. 100m in 1212 sec sec

____ m in 1 min____ m in 1 min

____ m in 1 hour____ m in 1 hour

Speed= _____km/hSpeed= _____km/h

E. 100m in E. 100m in 3030 sec sec

____ m in 1 min____ m in 1 min

____ m in 1 hour____ m in 1 hour

Speed=____km/hSpeed=____km/h

C. 100m in C. 100m in 1515 sec sec

____ m in 1 min____ m in 1 min

____ m in 1 hour____ m in 1 hour

Speed=____km/hSpeed=____km/h

F. 100 m in F. 100 m in 6060 sec sec

___ m in 1 hour___ m in 1 hour

Speed=____km/hSpeed=____km/h

TimeTime

For For 100m100m1010 1212 1515 2020 3030 6060

SpeedSpeed

Km/hKm/h

36 30 24 18 12 6

World record in 2008 Beijing OlympicWorld record in 2008 Beijing Olympic

Athlete Athlete TimeTime

Usain BoltUsain Bolt 100m sprint 100m sprint 9.96sec9.96sec

Michael PhelpsMichael Phelps 100m butterfly 100m butterfly 50.58sec50.58sec

Rate ApplicationsRate Applications

Which is faster: a speed of 20m per sec or Which is faster: a speed of 20m per sec or a speed of 70km/ha speed of 70km/h

Which is increasing in volume more Which is increasing in volume more quickly: water accumulating at 0.5ml per quickly: water accumulating at 0.5ml per min or at 0.05L per hourmin or at 0.05L per hour

Which is cheaper: 5kg for $2.25 or 1.5kg Which is cheaper: 5kg for $2.25 or 1.5kg for 75cfor 75c

Which purchase offers better value: 1kg Which purchase offers better value: 1kg for $1.2 or 600g for 80cfor $1.2 or 600g for 80c

factsfacts

The Marathon is the The Marathon is the standard 42.195km and standard 42.195km and the Half Marathon is the Half Marathon is 21.09km. 21.09km.

The Winner of the The Winner of the Auckland Half Marathon Auckland Half Marathon took one hour and 8 took one hour and 8 minutes 24 seconds.minutes 24 seconds.

Jenna took 2 hours 9 Jenna took 2 hours 9 minutes 37 seconds.minutes 37 seconds.

Questions:Questions: What was the speed of the winner What was the speed of the winner

and Jenna in km/hand Jenna in km/h

What was the speed of the winner What was the speed of the winner and Jenna in m/sand Jenna in m/s

What was the average time it took What was the average time it took for the winner to run for the winner to run one km (in one km (in mins)mins)??

What was the average time it took What was the average time it took for Jenna to run for Jenna to run one km? (in mins)one km? (in mins)

AnswersAnswers Speed of the Winner: 18.5km/hSpeed of the Winner: 18.5km/h Speed of Jenna:9.76km/hSpeed of Jenna:9.76km/h Average time it took for the winner to run one Average time it took for the winner to run one

KM? 3.24minKM? 3.24min Average time it took for Jenna to run one KM? Average time it took for Jenna to run one KM?

6.14min6.14min

Over 14 years, Mr Keyter milked 780,000 snakes, obtaining 3960 litres of Over 14 years, Mr Keyter milked 780,000 snakes, obtaining 3960 litres of venom. (Guinness Book of record)venom. (Guinness Book of record)

a)a) How many litres of venom did Mr Keyter milk per year?____ L/yrHow many litres of venom did Mr Keyter milk per year?____ L/yrb)b) Write the unit of the calculated rate:Write the unit of the calculated rate: 3960000/780000=5.1_____3960000/780000=5.1_____

Mr Tan exchanged NZ$360 for 22341.6 yen. What was the exchange rate Mr Tan exchanged NZ$360 for 22341.6 yen. What was the exchange rate (yen/NZ$)(yen/NZ$)

Mr Tan exchanged 40,000 yen for Mr Tan exchanged 40,000 yen for £207.41. What’s the exchange rate £207.41. What’s the exchange rate (£/yen)(£/yen)

Mr Tan bought a souvenir for £4.65. How much wuold that be in $NZD?Mr Tan bought a souvenir for £4.65. How much wuold that be in $NZD?

Mrs Thomas has a private pool which holds 30mMrs Thomas has a private pool which holds 30m3 3 of water. Each days she of water. Each days she adds 240g of pool chemicals to the water How many mg of chemicals is that adds 240g of pool chemicals to the water How many mg of chemicals is that per litre of water.per litre of water.

ScalesScales

ScalesScales1)1) The scale of a map is 1cm:300km.The scale of a map is 1cm:300km. Distance on the map is 7.5cm. What is Distance on the map is 7.5cm. What is

the real distance?the real distance? Real distance is 700km,what is the Real distance is 700km,what is the

distance on the map?distance on the map?

2)2) The scale of a map is 1cm:5km. What The scale of a map is 1cm:5km. What is the real distance when two towns is the real distance when two towns are 46mm apart on the map?are 46mm apart on the map?

2)2) Two cities are 250km apart. The Two cities are 250km apart. The distance on map is 22cm. What is the distance on map is 22cm. What is the scale of the map?scale of the map?

RevisionRevision

Measurement RevisionMeasurement Revision Conversion of unitsConversion of unitsmm, cm, m, kmmm, cm, m, kmg, kg, tong, kg, tonsec, min, hoursec, min, hourml, lml, l Choose appropriate measurement for items. Choose appropriate measurement for items. Ex. The capacity of a fridge Ex. The capacity of a fridge Litre Litre Converting between 12 hour time and 24 hour Converting between 12 hour time and 24 hour

timetime Perimeter and area of Perimeter and area of rectangle, square, parallelogram, triangle, rectangle, square, parallelogram, triangle,

circle, trapezium, 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.

Bigsmall SmallBig ÷

Base areaheight Determine base area!!!