成人快手

Video summary

In a mysterious crystal cave, Olivia and Hassan get to work dividing and multiplying fractions in order to find their way out.

Archimedes has 虏鈦勨倕 of an emerald and asks how much he would have left if he gave 鹿鈦勨倐 to Hypatia.

After working out the division of this fraction, Olivia and Hassan get to work to divide and multiply fractions.

With a little help from Archimedes, Olivia and Hassan then learn how to multiply and divide more complex fractions.

This short animated film is from the 成人快手 Teach series, Hypatia's Mathematical Maze.

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Teacher Notes

Before watching the film:

Prior to this lesson you may wish to introduce pupils to other relevant topics, for example:

  • Multiplication and division
  • Comparing and ordering fractions
  • Simplification of fractions

During watching the film:

Depending on the focus of your lesson, you may wish to pause the film at certain points to check for understanding, asking questions such as:

  • What is the difference between an integer and a fraction?
  • How else can you represent the fractions?
  • How would we simplify the fractions that Olivia and Hassan have?
  • What different stages will you use to answer Hypatia鈥檚 final question?

Final question:Something divided by four is seven twenty-fourths. Five twentieths divided by something is five eightieths. What are the missing fractions and integers?? 梅 4 = 鈦封亜鈧傗倓
5鈦勨倐鈧 梅 ? = 5鈦勨倛鈧

Answer to the final question:7鈦勨倖 梅 4 = 鈦封亜鈧傗倓5鈦勨倐鈧 梅 4 = 5鈦勨倛鈧

Following on from the film:

  • Use bar models to represent dividing the fractions into further pieces.
  • Use examples where the pupils have to explain their thinking in terms of factors, multiples, commutativity and equivalent fractions e.g. Which is larger? 鈪 梅 3 or 4鈦勨們 梅 5? What is larger, 鈪 梅 5 or 4鈦勨倖 梅 5?
  • Play true or false by exploring the relationship between dividing fractions by integers and multiplying fractions by other fractions, e.g. Which of these statements are true?
    • 鹿鈦勨倐 梅 2 = 鹿鈦勨倐 x 鹿鈦勨倐
    • 鹿鈦勨倐 梅 4 = 鹿鈦勨倐 x 鲁鈦勨倓
    • 鹿鈦勨倐 梅 3 = 鹿鈦勨倐 x 鹿鈦勨們
    • 鹿鈦勨倐 梅 5 = 鹿鈦勨倐 x 鹿鈦勨倕

This short film is suitable for teaching maths at KS2 in England, Wales and Northern Ireland and 2nd Level in Scotland.

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