DEVELOPING REASONING AND UNDERSTANDING

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Presentation transcript:

DEVELOPING REASONING AND UNDERSTANDING Opening out questions Michael Hall

coordinates (6,8) (1.5,2) (3,4) (6,8) (9,12) (30,40) What if..?

What other maths can we do? (?,?) What other maths can we do? Reflect 3 times to make . . . ? Reflection Reflect three times to make a rectangle What if..?

Make a square (3,4) (?,?) (?,?) (?,?) What if..?

Back to back with . . (3,4) And now to Budapest . . and a line of symmetry Create a triangle of you choice. Give coordinates to partner. Partner gives back reflected coordinates. And now to Budapest . .

(1,3) is one point of an isosceles triangle with an area of 9. How many can you find? Year 7 activity in Budapest Reference Issues in mathematics teaching, ed. Gates What if..?