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Developing Proportional Reasoning N6

In this resource from the DfE Standards Unit, students reflect on the reasoning they currently use when solving proportion problems, examine proportion problems and appreciate their
multiplicative structure and create their own variants of proportion problems. Proportional reasoning is notoriously difficult...

Developing an Exam Question: Number N10

In this resource from the DfE Standards Unit students learn to use past examination questions creatively by selecting and using appropriate techniques and strategies to solve
problems involving numerical, graphical and algebraic manipulation. Most students will have solved problems such as these...

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...

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...

Classifying Shapes SS1

In this resource from the DfE Standards Unit, students learn to name and classify polygons according to their properties, develop mathematical language to describe the similarities and differences between shapes and develop convincing explanations as to why combinations of particular properties are impossible. (...

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