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These are the topics related to the standard: Reason about and solve one-variable equations and inequalities."

Here are some specific activities, investigations or visual aids picked out. Click anywhere in the grey area to access the resource.

• DiceGebra An online board game for two players evaluating algebraic equations and inequalities.
• eQuation Generator An unlimited supply of linear equations just waiting to be solved. Project for the whole class to see then insert the working in your own style.
• Equations A series of exercises, in increasing order of difficulty, requiring you to solve linear equations. The exercises are self marking.
• Great Expectation An interactive online activity requiring logical thinking and a certain amount of luck to place the digits on the correct side of the inequality sign.
• Inequalities Check that you know what inequality signs mean and how they are used to compare two quantities. Includes negative numbers, decimals, fractions and metric measures.
• Nevertheless Players decide where to place the cards to make an equation with the largest possible solution.
• Quadratic Equations Solve these quadratic equations algebraically in this seven-level, self-marking online exercise.
• Quadratic Equations Video Learn the common methods of solving quadratic equations by factorising and by using the quadratic formula.

Here are some exam-style questions on this statement:

• "(a) Write down the integer values of \(x\) that satisfy the inequality \(–3 \le x \lt 1 \)." ... more
• "(a) Solve 9m < 15m − 12" ... more
• "Solve the following inequalities then explain how the whole number solutions to A and B different." ... more

Click on a topic below for suggested lesson starters, resources and activities from Transum.

• Algebra Pupils begin their study of algebra by investigating number patterns. Later they construct and express in symbolic form and use simple formulae involving one or many operations. They use brackets, indices and other constructs to apply algebra to real word problems. This leads to using algebra as an invaluable tool for solving problems, modelling situations and investigating ideas. If this topic were split into four sub topics they might be: Creating and simplifying expressions; Expanding and factorising expressions; Substituting and using formulae; Solving equations and real life problems; This is a powerful topic and has strong links to other branches of mathematics such as number, geometry and statistics. See also "Number Patterns", "Negative Numbers" and "Simultaneous Equations".