We were very excited about numeracy this term! We began looking at multiplication by exploring patterns in skip counting. We started making a special connection and realised skip counting is related to both repeated addition and multiplication!
During numeracy, we always try to discover a pattern.
Today we looked at how we can use algorithms to learn about multiplication.
By the end of the lesson, we were able to represent repeated addition using binary. This helped us to connect our understanding of repeated addition with multiplication.
At the start of the lesson, we were confronted with a challenging task. We had to fold our A4 sheet of paper into 16 rectangles with equal areas. We discussed the language equal and revised our learning about shapes from last term by exploring properties of a rectangle.
We thought about different problem solving strategies on how we can make 16 equal rectangles. Some thought about using the ruler to measure, making sure that they had the same lengths. Some used trial and error and estimation strategies. Students investigated by folding the paper in different ways, dividing the paper into rectangles of equal size. They wondered how we could meet the challenge without the aid of a measuring tool.
We were given the chance to work in teams to create a plan of action. Thinking through the problem together and planning how we will solve the problem helped us arrive at the solution easier.
Here is our discovery: When we folded the A4 paper in half, it created 2 rectangles. When we folded it the opposite way, it created 4. When we continued folding, we noticed that the number of equal rectangles was doubling.
2, 4, 8, 16!
After we reached 16 equal rectangles, we were challenged to create binary cards that contained 48 total numbers of dots in total. We had 16 rectangular templates to create binary cards. We had to think about how much equal number of dots had to be drawn in each rectangle so that all the binary cards add up to 48. Students used skip counting to figure out the solution. They trialed skip counting by twos and realised they only had 16 rectangles to fit the dots into. When they tried using 3s, it worked perfectly.
The open-ended task was perfect for our term’s CBL big idea on CHANGE. We explored how numbers create patterns as they change. It linked really well with our challenge ‘informing society of change in gaming’, as we explored the binary game that we have made to help us develop multiplicative thinking.