It's time to get magical
Stage 2 – A thinking mathematically context for practise focussed on using additive strategies and reasoning
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
You will need:
- pencils or markers
- your mathematics workbook
- the number grid (PNG 50 KB).
- 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?
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
Share your work with your class on your digital platform. You may like to:
- share your discoveries
- write comments
- share pictures of your work
- comment on the work of others.