Yesterday we did… Direct Proportion situations Two quantities are said to be in direct proportion if they increase and decrease at the same rate. That is, if the ratio between the two quantities is always the same.

Apply Learnt Knowledge If 4 monkeys eat 16 bananas in a minute? RECALL METHOD 1 & METHOD 2

T H I N K … ROBOTS DAYS

More or Less Method 5 15 ×30=10 𝑑𝑎𝑦𝑠 5 robots  30 days 15 robots  ? (less) Less = PROPER FRACTION 5 15 ×30=10 𝑑𝑎𝑦𝑠

Indirect/Inverse Proportion Two quantities are said to be in indirect/inverse proportion if as one quantity increases the other quantity decreases at the same rate.

It takes 10 men , 12 months to build a house It takes 10 men , 12 months to build a house. How long should it take 8 men? 10 men  12 months 8 men  ? (MORE) MORE  IMPROPER FRACTION 𝟏𝟎 𝟖 ×𝟏𝟐=𝟏𝟓 𝒎𝒐𝒏𝒕𝒉𝒔

It takes 1 person, 1 hour to put a pack of letters into envelopes It takes 1 person, 1 hour to put a pack of letters into envelopes. How long would it take 5 people to put the same pack into envelopes? 1 person 1 hour (60 mins) 5 people ? (LESS) LESS PROPER FRACTION 𝟏 𝟓 ×𝟔𝟎 = 12 minutes

John was driving at a steady speed of 30km/h, he took 2 hours to arrive to the destination. Jeremy going to the same destination drove at a steady speed of 50km/h, how long did Jeremy take? Speed of 30  2 hours (120mins) Speed of 50 ? (LESS) LESS PROPER FRACTION 𝟑𝟎 𝟓𝟎 ×𝟏𝟐𝟎 = 72 minutes 1 hr 12 minutes

IMPROPER FRACTION  𝟐 𝟏 ×𝟏𝟐=𝟐𝟒 𝒎𝒊𝒏𝒔 Joe and Hannah are so in love they decide to share a plate of spaghetti, it takes them 12 minutes to eat it together. If Joe and Hannah break-up and Hannah has to eat the same plate all by herself, how long will it take her to eat it all? 2 people 12 minutes 1 person  ? (more) IMPROPER FRACTION  𝟐 𝟏 ×𝟏𝟐=𝟐𝟒 𝒎𝒊𝒏𝒔

3 fashionistas  12 hours 4 fashionistas  ? (less) If it takes 3 fashionistas 12 hours to make a fashionable dress, how long would it take 4 fashionistas working on the dress together? 3 fashionistas  12 hours 4 fashionistas  ? (less) Less  Proper fraction 𝟑 𝟒 ×𝟏𝟐=𝟗 𝒉𝒐𝒖𝒓𝒔

more  improper fraction 7 dwarfs  3 hours 3 dwarfs  ? (more) more  improper fraction 𝟕 𝟑 ×𝟑=𝟕 𝒉𝒐𝒖𝒓𝒔 If it takes 7 dwarfs, 3 hours to mine 100 diamonds, how long will it take 3 dwarfs to mine the same amount? 21, 7,

If it takes 3 cake makers 8 hours to make this birthday cake how long would it take 1 cake maker? 3 cake makers  8 hours 1 cake maker  ? (more) more  improper fraction 𝟑 𝟏 ×𝟖=𝟐𝟒 𝒉𝒐𝒖𝒓𝒔

more  improper fraction If it takes this class 8 minutes to finish a bag of sweets, how long would it take 16 people to finish the bag of sweets? 20 students  5 minutes 16 people  ? (more) more  improper fraction 𝟐𝟎 𝟏𝟔 ×𝟖=𝟏𝟎 𝒎𝒊𝒏𝒖𝒕𝒆𝒔

more  improper fraction A quantity of hay is enough to feed 5 horses for 8 days. Work out the number of days that the same quantity of hay will feed 4 horses 5 horses  8 days 4 horses  ? (more) more  improper fraction 5 4 ×8=10 𝑑𝑎𝑦𝑠