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.

  1. Why is 9 called a square number?
  2. How many dots will the next triangle number have, and how did you work it out?
  3. 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.

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