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SIMCC Games · Teacher guide

Magic Squares

Place numbers so every row, column and diagonal has the same total.

Trains
Addition · Sharing a total equally · Reasoning about rows, columns and diagonals
Ages
7 to 12
In class
On your own. One device each. Choose First steps: four lessons. Then Lower Division: 3 × 3 squares of 1 to 9, with the magic total shown.

A ten-minute starter

  1. Show about 2 minAdd 1 to 9 with the class: 45. Share it between three rows: each row makes 15. That is the magic total, and every column and both diagonals make it too.
  2. Play about 6 minStudents choose First steps and work through the lessons, then try Lower Division.
  3. Talk about 2 minAsk: which number always goes in the centre of a 3 × 3 square of 1 to 9, and why?

Questions to ask the class

  1. Why is the magic total of 1 to 9 equal to 15?Listen for: All nine add up to 45, shared by three rows: 45 ÷ 3 = 15.
  2. Row 1 has 8 and 1. What does it need?Listen for: 6, to make 15.
  3. A square uses the even numbers 2 to 18. What is its magic total?Listen for: 30: they add up to 90, and 90 ÷ 3 = 30.

A common mistake

Making every row add up and forgetting the columns and diagonals.

How to help: Each line shows its sum so far and what it still needs, such as "12 of 15, needs 3". Ask them to read every line before they check.

Assign it

On the coach dashboard, choose your class under Cohorts. In Assign practice, pick Magic Squares and the drill First steps or Make it magic, add a due date if you want one, then press Assign. Students find it on their Train page.

Set First steps for a new class, then Make it magic.

Results show on the dashboard by student and by game once the server has checked them.

Students open Play, then Magic Squares, then On your own.