91热爆

Video summary

When Olivia and Hassan find themselves on the roof of an enormous skyscraper they learn how to multiply by 10, 100 and 1000 and work out the number of windows on the building.

Archimedes explains how to multiply by 10, 100 and 1000 - explaining how this method will help Olivia and Hassan work out the number of windows on the skyscraper.

Hypatia concludes the episode with a multiplication question and challenges pupils to find her mistakes in the classroom.

This short animated film is from the 91热爆 Teach series, Hypatia's Mathematical Maze.

Back to top

Teacher Notes

Before watching the film:

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

  • Place value appropriate to the year group
  • Multiplication as repeated addition
  • The ten times table and its features

During watching the film:

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

  • How many places does the number move when multiplying by 10, 100, 1000 and 10,000?
  • How many places does the number move when dividing by 10, 100, 1000 and 10,000?
  • How can we tell if a number is a multiple of 10?
  • Can you answer Hypatia鈥檚 final question?

Final question:Have I made any mistakes?

x1000x100x10Original number梅10梅100梅1000
24700024070247024724.72.740.247

Answer to the final question:

x1000x100x10Original number梅10梅100梅1000
24700024070247024724.72.740.247
  • x 100 - Place holders have appeared, but not in the correct places. All the digits need to move together, like the figures on a fussball table!
  • 梅 100 - The digits have been switched. Again, all the digits move in the order they were originally.

Following on from the film:

  • Use place value sliders to explore how the digits move when multiplying and dividing by 10, 100 and 1000.
  • Use 鈥榖ackwards鈥 questions to explore pupils鈥 efficiency at manipulating the numbers, e.g. I am thinking of a number. I multiply it by 100. My answer is 3650. What was my number?
  • Use digit card questions to limit possibilities, e.g. I have the digit cards 1, 2, 3, 4, 5 and 6. Use the cards to fill in the gaps. You may use each digit card once only.
  • \(1 - x 100 = - ,300\)
  • \(5, - 00 梅 100 = - 2\)
  • \( - .4 梅 10 = 0.6 - \)

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

Back to top

Adding and subtracting using mental methods. video

In a mythical temple full of obstacles, Olivia and Hassan learn simple mental maths and apply it to work out the passcode to open the door.

Adding and subtracting using mental methods

Adding and subtracting using written methods. video

Having been transported to a floating library, Olivia and Hassan's ability to solve large equations using written methods is tested.

Adding and subtracting using written methods

How and why we round numbers. video

Olivia and Hassan are taught how to round to the nearest 1000, 10,000, and 100,000 when a disgruntled magic carpet demands money from them.

How and why we round numbers

Using addition and subtraction in multi-step problems. video

Inside a giant computer created before the age of mathemagicians, Olivia and Hassan are faced with a multi-step problem to reach the labyrinth鈥檚 next stage.

Using addition and subtraction in multi-step problems

Mental multiplication. video

While exploring a jungle, Olivia and Hassan learn the true nature of square numbers as being created when two of the same number are multiplied together.

Mental multiplication

Factors, multiples and primes. video

Trapped in a desert together with Archimedes, Olivia and Hassan learn what common factors, multiples, and prime numbers are.

Factors, multiples and primes

Multiplying using written methods. video

Finding themselves in space, Olivia and Hassan watch mathemagician Hypatia perform long multiplications in the sky by bending the stars.

Multiplying using written methods

Dividing using written methods. video

Olivia and Hassan learn how to perform long division in order to free gridlocked traffic on a bridge.

Dividing using written methods

Recognising and comparing fractions. video

Olivia and Hassan are enjoying themselves in a world made out of pizza and learn how to work with numerators and denominators in fractions.

Recognising and comparing fractions

Adding and subtracting fractions. video

Amongst the ruins of an ancient city, Olivia and Hassan learn how to add and subtract fractions.

Adding and subtracting fractions

Multiplying and dividing fractions. video

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

Multiplying and dividing fractions
Back to top