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Family table: Geometry & Spatial Understanding

All four rungs side by side. A younger child and an older one can do the same topic together, each at their own level.

To print it, use your browser's Print button; it fits best on a page turned sideways (landscape). The full steps, the help for grown-ups and the notes for teachers are on the topic page.

Step	Classes 1–3	Classes 4–7	Classes 8–10	Classes 11–12
Activity	Shapes Around Us	Lines, Angles and Symmetry	Constructions and Properties of Shapes	Coordinate Geometry and Transformations
Safety	–	–	The compass point is sharp. Keep it pointing down at the paper, close it or push it into an eraser when not in use, and keep it away from younger children.	–
What you need	Paper, pencil, crayons Objects around the room (box, ball, bottle, book, plate, coin)	Paper, pencil, ruler, coloured pencils, scissors (child-safe) Objects or pictures with symmetry (leaves, rangoli, letters)	Compass, ruler (used as a straight edge), protractor, sharp pencil, paper	Graph paper, pencil, ruler, calculator
Notice	Look around. What shapes do you see on the faces and edges of things?	Look at a leaf, a rangoli, or the letter "A". Does one half match the other?	Many shapes have equal sides or equal angles. How can we construct them accurately?	Shapes can be described using coordinates and can be moved, flipped, turned or enlarged.
Guess	Which objects are round? Which have straight sides? Which have corners?	Which shapes or objects have a line of symmetry? How many lines?	How can you construct an equilateral triangle or a perpendicular bisector using only compass and ruler?	How do the coordinates change under translation, reflection, rotation or enlargement?
Try	Trace around the flat faces of objects (a book, a box, a coin). Sort the drawings into groups by shape.	Cut out shapes (square, rectangle, equilateral triangle, circle, letters) and find their lines of symmetry by folding. Use a corner of a page as a right-angle checker to compare angles.	Construct basic geometric figures (perpendicular bisector, angle bisector, equilateral triangle, parallelogram).	Plot shapes on a coordinate grid and apply different transformations. Record the new coordinates.
Observe	Count the sides and corners of the shapes you drew.	Record how many lines of symmetry each shape has.	Measure the sides and angles of your constructions to check accuracy.	Look for patterns in how the coordinates change. Calculate distances and midpoints.
Explain	Tell someone the name of each shape and how you recognised it.	Explain what a line of symmetry means and show one example.	Write the steps clearly and explain why the construction works.	Derive or state the coordinate rules for each transformation and verify them.
Ask another question	Can you make a picture using only circles, squares and triangles?	Can you create a symmetrical rangoli or design of your own?	How are these constructions useful in design, architecture or map work?	How is coordinate geometry used in computer graphics, navigation or design?

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