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Using Indices N12

In this resource from the DfE Standards Unit students are introduced to fractional and negative indices to enable them to evaluate numerical expressions using negative and fractional
indices and use the rules of indices with integer and fractional powers of variables. Students should have some knowledge of...

Analysing Sequences N13

In this resource, from the DfES Standards Unit, students learn to define a sequence using the
general form of the nth term, define a sequence inductively, recognise and define an arithmetic and a geometric progression and to reflect on and discuss these processes. Students should have some understanding of...

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...

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...

Exploring Equations in Parametric Form A14

In this resource from the DfE Standards Unit, students find and determine the nature of stationary points when a function is given in parametric form and find the intercepts of the function. Students should already be able to find stationary points and their nature when equations are given in Cartesian form,...

Performing Number Magic A9

In this resource from the DfE Standards Unit, students analyse simple number 'tricks', and explain how they work, using algebra. They then try to create their own variants of the trick, making it more impressive. Students will: develop an understanding of linear expressions and equations; make simple conjectures...

Interpreting Frequency Graphs, Cumulative Frequency Graphs, Box and Whisker Plots S6

In this resource from the DfE Standards Unit, students interpret frequency graphs, cumulative frequency graphs, and box and whisker plots, all for large samples, and then see how a large number of data points can result in the graph being approximated by a continuous distribution (GCSE Grades A - D)

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