# Resources by Standards Unit

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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...

### Differentiating and Integrating Fractional and Negative Powers C4

In this resource from the DfE Standards Unit, students convert functions into an appropriate form for differentiating or integrating and then differentiate and integrate negative and fractional powers of x. Before starting the activity students should be able to differentiate and integrate polynomial functions and...

### Dissecting a Square SS3

In this resource from the DfE Standards Unit, students learn to express a part or whole diagram in fractions or percentages, convert a fraction to a percentage (using a calculator), calculate areas of rectangles, triangles, circles and parts of circles and add, subtract and multiply fractions. This session builds...

### Estimating Length Using Standard Form N4

In this resource from the DfE Standards Unit, students learn to interpret decimals using metric units, estimate lengths of real life objects and interpret standard form.They will also discuss and understand these processes. Some students will have encountered decimals and standard form before. The opening...

### 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...

### Evaluating Directed Number Statements N9

In this resource from the DfE Standards Unit students learn to make valid generalisations about the effect of operations on directed numbers. It is helpful if students have already attempted to use directed quantities in contexts (e.g. money or temperature) before
attempting this session. In this session,...

### Evaluating Probability Statements S2

In this resource from the DfE Standards Unit, students discuss and clarify some common misconceptions about probability. This involves discussing the concepts of equally likely events, randomness and sample sizes. They will also learn to reason and explain. This session assumes that learners have encountered...

### Evaluating Statements about Enlargements SS5

In this DfE Standards Unit resource, students explore the relationship between linear and area enlargement, substitute into algebraic statements and discuss some common misconceptions about enlargement. Students will have covered some aspects of enlarging shapes before, but they may not have explored the...

### Evaluating Statements about Length and Area SS4

In this resource from the DfE Standards Unit, students learn to understand concepts of length and area in more depth, revise the names of plane shapes, develop reasoning through considering areas of plane compound shapes and construct their own examples and counter-examples to help justify or refute conjectures....

### Evaluating Statements about Number Operations N2

In this resource from the DfE Standards Unit, students learn to understand the properties of number operations, substitute integers, fractions, decimals and negative numbers into statements and equations in order to test their validity and address common misconceptions about the effect of addition, subtraction,...