Day 2

To complete today's activities, you will need:

Investigation 1:

• Imagine there are 15 houses in each row.

• What would be the difference between the sums of the 2 rows?

• Explain how you could work out the difference for any number of houses in each row.

Investigation 2:

• Look at the sequence that is formed by adding the numbers vertically.

• Why does this sequence of numbers grow by 4 each time?

Investigation 3:

• Why do the diagonally opposite numbers in a square add to the same total?

• Why do the totals increase by 8 each time?

Think and reflect:

• What other patterns can you find?

• Explain why these patterns occur.

Method:

• Add water to each mixing cup.

• Add 2 drops of food colouring to each cup. Use a different colour for each.

• Keep cup 1 as water – do not add any salt.

• Cup 2 – add 1 teaspoon of salt and mix well.

• Cup 3 – add 2 teaspoons of salt and mix well.

• Cup 4 – add 4 teaspoon of salt and mix well.

• Cup 5 – add 6 teaspoon of salt and mix well.

To create the coloured density layers:

• Add cup 5 to your tall clear container.

• Pour in enough vegetable oil to make a 1-2cm layer.

• Starting from cup 4, very slowly pour in enough salt water to make a 1-2cm layer. Wait until the layers have settled.

• Repeat with cup 3. Wait until the layers have settled.

• Repeat with cup 2. Wait until the layers have settled.

• Repeat with cup 1. Wait until the layers have settled.

Repeat this investigation but replace layers of salt water with:

• • olive oil

  • detergent

  • vinegar

  • fresh water

  • vegetable oil

  • milk.