8N04A Irrational numbers - Ochre Education

This unit of work focuses on irrational numbers. Students define, recognise, and approximate real and irrational numbers, including π and square and cube roots of non-perfect square and cube numbers; add and subtract, multiply and divide, raise to positive integer powers and the 0th power, square root and cube root irrational numbers using their exact forms, including combinations of operations and the use of brackets, fraction bars, and vinculums and consideration of the field axioms for addition and multiplication (associative, commutative, identity, inverse, distributive) giving answers in exact and approximated forms, in particular, using expressions that appear in contexts such as Pythagoras' theorem and distance formula, perimeters involving arcs or lengths found using Pythagoras' theorem, and areas of composite shapes involving circles and sectors; rich task on irrational numbers.