M2.8.6 For the adult
Square and triangle numbers
Why are 4 and 9 called square numbers? Are they really squares?
What this chapter teaches
A square number is a number of dots in a square, such as 4 rows of 4 dots. A triangle number is a number of dots in a triangle whose rows grow by one dot each time. Each new row has one more dot than the last, and two triangle numbers side by side make a square number.
Three questions to ask
There is no one right wording. Listen for the idea.
- Why is 9 called a square number?
- How many dots will the next triangle number have, and how did you work it out?
- What do you get if you put the triangle numbers 6 and 10 together?
After the chapter, the learner can
- Draw dots to show the square numbers 1, 4, 9 and 16
- Find the next triangle numbers after 1, 3, 6 and 10
What they copy into their notebook
Square numbers: 1, 4, 9, 16, 25. Triangle numbers: 1, 3, 6, 10, 15, 21. Each new row has one more dot than the last. Triangles of 6 and 10 fit into a square of 16.