Square Roots & Pythagorean Theorem

Connect square areas. Find unknown distances. Create a route worth solving.

Know what achievement looks likeCBE Proficiency & Achievement Indicators
Read the CBE indicators here

Number N1, N2 and Shape and Space SS1: squares, square roots and the Pythagorean theorem. See both sections in the source document. The criteria at each level include earlier levels; website practice summaries are not proficiency marks.

Class Notes

Build from area to distance

Lessons

Start with squares and roots, then use right triangles to solve distances. Each lesson includes a model, Class Notes, worked examples and practice.

The two main tasks

Tasks & Activities

Use your right-triangle skills to follow a route, then design one for someone else. Mapping is a longer task with several stages; plan time to measure, create, check and exchange.

Pythag Treasure Hunt

Solve the teacher-supplied clues and keep a clear mathematical travel log.

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Pythag Mapping

Measure at least five landmarks, design five right-triangle clues, prepare your worked solution and exchange maps.

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Three squares. One relationship.

Why does the theorem work?

Predict first. Change one value, then explain the result. Diagrams show the entered dimensions; displayed decimals are rounded.

Connect square areas to side lengths →

Choose a skill to practise

What are you curious about?

Search lessons, class notes and interesting questions.