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Interpreting Algebraic Expressions A1

In this resource from the DfES Standards Unit, students learn to translate between words, symbols, tables, and area representations of algebraic expressions, recognise the order of operations, recognise equivalent expressions and understand the distributive laws of multiplication and division over addition (...

Creating and Solving Equations A2

In this resource from the DfE Standards Unit, students learn to create and solve their own equations, where the unknown appears once. Most students will have been taught rules for solving equations such as ‘change the side, change the sign’ or ‘you always do the same to
both sides’. When used without...

Creating and Solving Harder Equations A3

In this resource from the DfE Standards Unit, students create and solve their own equations where the unknown appears more than once and learn that there may be more than one way of solving such equations. Before doing this activity students should be able to solve equations where the unknown appears only once....

Evaluating Algebraic Expressions A4

In this resource from the DfE Standards Unit, students learn to distinguish between and interpret equations, inequations and identities and substitute into algebraic statements in order to test their validity in special cases. Students often use letters in algebra without understanding what they mean. Common...

Interpreting Functions, Graphs and Tables A7

In this DfE Standards Unit resource, students learn to understand the relationship between graphical, algebraic and tabular representations of functions, the nature of proportional, linear, quadratic and inverse functions and doubling and squaring. Students should already be familiar with algebraic symbols such as...

Developing an Exam Question: Generalising Patterns A8

In this resource from the DfE Standards Unit, students will learn to: use past examination papers creatively, explore, identify, and use pattern and symmetry in algebraic
contexts, investigate whether a particular case can be generalised further, understand the importance of counter-examples, develop the...

Connecting Perpendicular Lines A10

In this resource from the DfE Standards Unit, students will identify perpendicular gradients and lines that are perpendicular, learn to relate their learning about perpendicular lines to their previous learning about straight lines and explain the reasons why lines are parallel and perpendicular. Students should...

Factorising Cubics A11

In this resource from the DfE Standards Unit, students learn to associate x-intercepts with finding values of x such that f (x) = 0, sketch graphs of cubic functions, find linear factors of cubic functions and develop efficient strategies when factorising cubic functions. Students should have some familiarity with...

Exploring Trigonometrical Graphs A12

In this resource from the DfE Standards Unit, students explore trigonometrical graphs by recognising translations, stretches and reflections from their equations, sketching the graphs and learning about the period and amplitude. Students should be familiar with the graphs of y = sin x and y = cos x and have...

Simplifying Logarithmic Expressions A13

This DfE Standards Unit resource enables students to develop their understanding of the laws of logarithms, practise using the laws of logarithms to simplify numerical expressions involving logarithms and apply their knowledge of the laws of logarithms to expressions involving variables. Students should have some...

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