Number 13
Algebra 4
All should be able to
Relate fractions to division.
Find simple fractions of whole-number quantities.
Find simple percentages of whole-number quantities.
Solve simple problems using ideas of ratio and proportion (one for every and one in every).
Most should be able to
Recognise the equivalence of percentages, fractions and decimals; calculate simple percentages and use percentages to compare simple proportions.
Understand the relationship between ratio and proportion; use direct proportion in simple contexts; use ratio notation, reduce a ratio to its simplest form and divide a quantity into two parts in a given ratio; solve simple problems about ratio and proportion using informal strategies.
Check a result by considering whether it is of the right order of magnitude and by working the problem backwards.
Some should be able to
Express one given number as a percentage of another; use the equivalence of fractions, decimals and percentages to compare proportions.
Divide a quantity into two or more parts in a given ratio; use the unitary method to solve simple word problems involving ratio and direct proportion.
Understand and use the relationships between the four operations, and the principles (not the names) of the arithmetic laws.
Use brackets.
Use letter symbols to represent unknown numbers or variables; know the meanings of the words term, expression and equation.
Understand that algebraic operations follow the same conventions and order as arithmetic operations.
Simplify linear algebraic expressions by collecting like terms; begin to multiply a single term over a bracket (integer coefficients).
Construct and solve simple linear equations with integer coefficients (unknown on one side only) using an appropriate method (e.g. inverse operations).
Begin to distinguish between the different roles played by letter symbols in equations, formulae and functions; know the meanings of the words formula and function.
Construct and solve linear equations with integer coefficients (unknown on either or both sides, without and with brackets) using appropriate methods (e.g. inverse operations, transforming both sides in the same way).
