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Try this Maths! Try this Maths! Presentation Transcript

  • Common DistanceTwo candles have different length and thickness.Candle A is 1.5 cm longer than Candle B.Candle A can burn for 8 minutes while Candle Bfor 5 minutes. Candle A is lit at 0700 and Candle B at0702. Both are the same length at 0705.How long is Candle A? © mathsHeuristics
  • Common Distance If Object A and Object B travel the SAME DISTANCE 2 km1 km/h A2 km/h B Observation: © mathsHeuristics Conclusion:
  • Common Distance If Object A and Object B travel the SAME DISTANCE 2 km1 km/h A2 km/h B Observation: A B Speed 1 Time © mathsHeuristics Conclusion:
  • Common Distance If Object A and Object B travel the SAME DISTANCE 2 km1 km/h A2 km/h B Observation: A B Speed 1 2 Time © mathsHeuristics Conclusion:
  • Common Distance If Object A and Object B travel the SAME DISTANCE 2 km1 km/h A Time = 2 1 = 2 hr2 km/h B Observation: A B Speed 1 2 Time 2 © mathsHeuristics Conclusion:
  • Common Distance If Object A and Object B travel the SAME DISTANCE 2 km1 km/h A Time = 2 1 = 2 hr2 km/h B Time = 2 2 = 1 hr Observation: A B Speed 1 2 Time 2 1 © mathsHeuristics Conclusion:
  • Common Distance If Object A and Object B travel the SAME DISTANCE 2 km1 km/h A Time = 2 1 = 2 hr2 km/h B Time = 2 2 = 1 hr Observation: A B Speed 1 2 Time 2 1 © mathsHeuristics Conclusion: If two objects travel the same distance: their Speed Ratio will reverse Time Ratio
  • Common DistanceTwo candles have different length and thickness.Candle A is 1.5 cm longer than Candle B.Candle A can burn for 8 minutes while Candle Bfor 5 minutes. Candle A is lit at 0700 and Candle B at0702. Both are the same length at 0705.How long is Candle A? © mathsHeuristics
  • Two candles have different length and thickness. Candle A is 1.5 cm longer than Candle B. Candle A can burn for 8 minutes while Candle B for 5 minutes. Candle A is lit at 0700 and Candle B at 0702. Both are the same length at 0705. How long is Candle A?STEP 1 1.5 cm A B © mathsHeuristics Ans: 24 cm
  • Two candles have different length and thickness. Candle A is 1.5 cm longer than Candle B. Candle A can burn for 8 minutes while Candle B for 5 minutes. Candle A is lit at 0700 and Candle B at 0702. Both are the same length at 0705. How long is Candle A? 1.5 cmSTEP 2 8 min 5 min A B © mathsHeuristics
  • Two candles have different length and thickness. Candle A is 1.5 cm longer than Candle B. Candle A can burn for 8 minutes while Candle B for 5 minutes. Candle A is lit at 0700 and Candle B at 0702. Both are the same length at 0705. How long is Candle A? 0700 1.5 cm 0702 8 minSTEP 3 5 min A B © mathsHeuristics
  • Two candles have different length and thickness. Candle A is 1.5 cm longer than Candle B. Candle A can burn for 8 minutes while Candle B for 5 minutes. Candle A is lit at 0700 and Candle B at 0702. Both are the same length at 0705. How long is Candle A? 0700 1.5 cm 0702 8 min 5 min 0705STEP 4 A B © mathsHeuristics
  • Two candles have different length and thickness. Candle A is 1.5 cm longer than Candle B. Candle A can burn for 8 minutes while Candle B for 5 minutes. Candle A is lit at 0700 and Candle B at 0702. Both are the same length at 0705. How long is Candle A? 0700 1.5 cm 0702 8 min 3 min 5 min 0705STEP 4 A B © mathsHeuristics
  • Two candles have different length and thickness. Candle A is 1.5 cm longer than Candle B. Candle A can burn for 8 minutes while Candle B for 5 minutes. Candle A is lit at 0700 and Candle B at 0702. Both are the same length at 0705. How long is Candle A? 0700 1.5 cm 0702 8 min 3 min 5 min 0705STEP 4 2 min A B © mathsHeuristics
  • Two candles have different length and thickness. Candle A is 1.5 cm longer than Candle B. Candle A can burn for 8 minutes while Candle B for 5 minutes. Candle A is lit at 0700 and Candle B at 0702. Both are the same length at 0705. How long is Candle A? 0700 1.5 cm 0702 5 min 8 min 3 min 5 min 0705STEP 4 2 min A B © mathsHeuristics
  • Two candles have different length and thickness. Candle A is 1.5 cm longer than Candle B. Candle A can burn for 8 minutes while Candle B for 5 minutes. Candle A is lit at 0700 and Candle B at 0702. Both are the same length at 0705. How long is Candle A? 0700 1.5 cm 0702 5 min 8 min 3 min 5 min 0705STEP 4 3 min 2 min A B © mathsHeuristics
  • Two candles have different length and thickness. Candle A is 1.5 cm longer than Candle B. Candle A can burn for 8 minutes while Candle B for 5 minutes. Candle A is lit at 0700 and Candle B at 0702. Both are the same length at 0705. How long is Candle A? 0700 1.5 cm 0702 5 min 8 min 3 min 5 min 0705 3 min Same distance 2 min A BSTEP 5 Same distance : Speed Ratio will reverse Time Ratio A B © mathsHeuristics Speed Time 3 2
  • Two candles have different length and thickness. Candle A is 1.5 cm longer than Candle B. Candle A can burn for 8 minutes while Candle B for 5 minutes. Candle A is lit at 0700 and Candle B at 0702. Both are the same length at 0705. How long is Candle A? 0700 1.5 cm 0702 5 min 8 min 3 min 5 min 0705 3 min Same distance 2 min A BSTEP 5 Same distance : Speed Ratio will reverse Time Ratio A B © mathsHeuristics Speed 2u 3u Time 3 2
  • Two candles have different length and thickness. Candle A is 1.5 cm longer than Candle B. Candle A can burn for 8 minutes while Candle B for 5 minutes. Candle A is lit at 0700 and Candle B at 0702. Both are the same length at 0705. How long is Candle A? 0700 1.5 cm 0702 5 min 16u 8 min 3 min 5 min 0705 3 min 2 min A BSTEP 5 Same distance : Speed Ratio will reverse Time Ratio A B Height of Candle A => 2u x 8 = 16u © mathsHeuristics Speed 2u 3u Time 3 2
  • Two candles have different length and thickness. Candle A is 1.5 cm longer than Candle B. Candle A can burn for 8 minutes while Candle B for 5 minutes. Candle A is lit at 0700 and Candle B at 0702. Both are the same length at 0705. How long is Candle A? 0700 1.5 cm 0702 5 min 16u 8 min 3 min 5 min 15u 0705 3 min 2 min A BSTEP 5 Same distance : Speed Ratio will reverse Time Ratio A B Height of Candle A => 2u x 8 = 16u © mathsHeuristics Height of Candle B => 3u x 5 = 15u Speed 2u 3u Time 3 2
  • Two candles have different length and thickness. Candle A is 1.5 cm longer than Candle B. Candle A can burn for 8 minutes while Candle B for 5 minutes. Candle A is lit at 0700 and Candle B at 0702. Both are the same length at 0705. How long is Candle A? 0700 1.5 cm 1u 0702 5 min 16u 8 min 3 min 5 min 15u 0705 3 min 2 min A BSTEP 5 Same distance : Speed Ratio will reverse Time Ratio A B Height of Candle A => 2u x 8 = 16u © mathsHeuristics Height of Candle B => 3u x 5 = 15u Speed 2u 3u Difference => 16u – 15u = 1u Time 3 2
  • Two candles have different length and thickness. Candle A is 1.5 cm longer than Candle B. Candle A can burn for 8 minutes while Candle B for 5 minutes. Candle A is lit at 0700 and Candle B at 0702. Both are the same length at 0705. How long is Candle A? 0700 1.5 cm 1u 0702 5 min 16u 8 min 3 min 5 min 15u 0705 3 min 2 min A BSTEP 5 Same distance : Speed Ratio will reverse Time Ratio A B Height of Candle A => 2u x 8 = 16u © mathsHeuristics Height of Candle B => 3u x 5 = 15u Speed 2u 3u Difference => 16u – 15u = 1u Time 3 2 1u = 1.5 cm
  • Two candles have different length and thickness. Candle A is 1.5 cm longer than Candle B. Candle A can burn for 8 minutes while Candle B for 5 minutes. Candle A is lit at 0700 and Candle B at 0702. Both are the same length at 0705. How long is Candle A? 0700 1.5 cm 1u 0702 5 min 16u 8 min 3 min 5 min 15u 0705 3 min 2 min A BSTEP 5 Same distance : Speed Ratio will reverse Time Ratio A B Height of Candle A => 2u x 8 = 16u © mathsHeuristics Height of Candle B => 3u x 5 = 15u Speed 2u 3u Difference => 16u – 15u = 1u Time 3 2 1u = 1.5 cm 16u = 16 x 1.5 cm = 24 cm Ans: 24 cm