# It's time to get magical

Stage 2 – A thinking mathematically context for practise focussed on using additive strategies and reasoning

## Syllabus

Syllabus outcomes and content descriptors from Mathematics K–10 Syllabus © NSW Education Standards Authority (NESA) for and on behalf of the Crown in right of the State of New South Wales, 2023

• MAO-WM-01
• MA2-AR-01

You will need:

## Instructions

• Choose any number on the grid.
• Write it down.
• Write down a second number… BUT… it has to be a different row and different column to your first number.
• Record a third number… it has to be a different row and different column to your first two numbers.
• Write down a fourth number… it has to be a different row and different column to your first three numbers.

## Check out my magic

I know that your sum is....34!

Are you asking "How did you do that?"

## Investigating the magic

We found out that:

• 34 = 1 + 6 + 11 + 16; and
• 34 = 13 + 12 + 6 + 3

Now we wonder... is the sum always 34?

## Instructions

Mathematicians think logically when solving problems. You could use this by testing out a number of different options, for example, you could test what the sum is when you combine these quantities:

• 1, 6, 11, 16
• 1, 6, 12, 15
• 1, 7, 10, 16
• 1, 7, 12, 14
• 1, 8, 10, 15
• 1, 8, 11, 14