Solving Problems continued
What all should know
Use the unitary method to solve simple word problems involving ratio and direct proportion.
Solve geometrical problems using side and angle properties of equilateral, isosceles and right-angled triangles and special quadrilaterals, explaining reasoning with diagrams and text; classify quadrilaterals by their geometric properties.
What most should know
Suggest extensions to problems, conjecture and generalise; identify exceptional cases or counter-examples, explaining why.
Solve problems involving percentage changes.
Use proportional reasoning to solve a problem, choosing the correct numbers to take as 100%, or as a whole; interpret and use ratio in a range of contexts, including solving word problems.
Construct functions arising from real-life problems and plot their corresponding graphs.
Solve problems using properties of angles, of parallel and intersecting lines, and of triangles and other polygons, justifying inferences and explaining reasoning with diagrams and text.
What some should know
Justify generalisations, arguments or solutions; pose extra constraints and investigate whether particular cases can be generalised further.