Year 9 Summer Term Learning Objectives
Algebra 13
What all should know
Simplify or transform linear expressions by collecting like terms; multiply a single term over a bracket.
Plot the graphs of linear functions, where y is given explicitly in terms of x, on paper and using ICT.
What most should know
Simplify or transform algebraic expressions by taking out single-term common factors.
Use formulae from mathematics and other subjects; substitute numbers into expressions and formulae; derive a formula and, in simple cases, change its subject.
Generate points and plot graphs of linear functions (y given implicitly in terms of x), e.g. ay + bx = 0, y + bx + c = 0, on paper and using ICT.
Solve increasingly demanding problems; explore connections in mathematics across a range of contexts: algebra.
What some should know
Square a linear expression, expand the product of two linear expressions of the form x n and simplify the corresponding quadratic expression; establish identities such as a2 b2 = (a + b)(a b).
Solve linear inequalities in one variable, and represent the solution set on a number line; begin to solve inequalities in two variables.
Derive and use more complex formulae, and change the subject of a formula.
Identify the necessary information to solve a problem.
Solve more complex problems by breaking them into smaller steps or tasks, choosing and using efficient techniques for calculation.
Use logical argument to establish the truth of a statement.
Solve increasingly demanding problems and evaluate solutions; explore connections in mathematics across a range of contexts: number, algebra, shape, space and measures, handling data.
Represent problems and synthesise information in algebraic, geometric or graphical form; move from one form to another to gain a different perspective on the problem.
Solve substantial problems by breaking them into simpler tasks, using a range of efficient techniques, methods and resources, including ICT; use trial and improvement where a more efficient method is not obvious.
Present a concise, reasoned argument, using symbols, diagrams, graphs and related explanatory text; give solutions to problems to an appropriate degree of accuracy.
Generate fuller solutions to increasingly demanding problems.
Recognise limitations on the accuracy of data and measurements; give reasons for choice of presentation, explaining selected features and showing insight into the problems structure.
