Across our Mathematics curriculum we aim for students to become fluent in the core concepts of mathematics and reason mathematically in order to solve problems. With spaced retrieval and interleaving topics, students are encouraged to explore and deepen their knowledge of connections between topics. It is our aim to equip students with the mathematical skills they will need beyond school and to pique their interest in the subject in the hope they continue to study mathematics further.

In school...

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**Perimeter and Area**

Area of common shapes

Perimeter of common shapes

Area and perimeter of compound shapes

**Algebraic expressions and formulae**

Forming algebraic expressions

Simplifying algebraic expressions

Solving equations

**Number and Pattern sequences**

Continuing linear sequences

Calculating the Nth term for sequences

Finding a missing number in a sequence

Fibonacci sequences

How can I use this Maths in “Real-life”?

Area and perimeter is important in calculation of costs for many different applications pointing these out as opportunities arrive is very useful to make maths real for students.

Equations and formula form the basis of many things and are used continuously in desgin on buildings, finance and commerce plus, science and numerous other applications. Pointing this out to Students when opportunity arrives can help students understand the need to learn about what can sometimes seem an abstract topic.

Sequences are used to make predictions about situations in the future. For example if I’m given £1 more pocket money every month, how much will I earn over 5 years?

Fibonacci sequences occur naturally – e.g. the number of petals on flowers, spiral on a shell, number of branches on a tree.

Fractions

In school...

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**Statistics – representation and interpretation**

Drawing bar charts, pie charts, scatter diagrams

Calculating averages form grouped data

**Solving Linear equations**

Solving equations with unknowns one side, both sides or with brackets

Solving equations with brackets

**Working with Fractions**

Add, subtract, multiply and divide fractions and mixed numbers with and without a calculator

How can I use this Maths in “Real-life”?

Comparing any kind of data in real life. e.g. comparing heights of 2 groups of people. Identifying the spread of shoe sizes to know how many of each size a shop should order.

Scatter diagrams are used to identify a relationship between 2 things and make predictions. E.g. Is there a link between time spent watch TV and exam performance?

People solve equations everyday without realise they are equations. For example working out someone’s ages if they are 10 years older than you, calculating the amount of profit they will make if they make a certain number of sales.

Anything that involves calculating with numbers that aren’t whole can be done easier using fractions e.g. engineers that need exact measurements when measuring or calculating.

In school...

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**Ratio and proportion – ratio**

Simplifying ratios

Converting between ratio and fractions

Dividing into given ratios

**Speed and Proportion**

Calculating speed, distance or time given 2 out of the 3

**Similarity and Congruency**

Identify congruent shapes

Calculate missing lengths of similar shapes

Anything that involves calculating with numbers that aren’t whole can be done easier using fractions e.g. engineers that need exact measurements when measuring or calculating.

Calculating how long a journey will take if you know how far away it is and roughly what speed you are travelling.

Calculating what speed you need to run if you want to finish a marathon in 3 hours.

Similar Triangles are very useful for indirectly determining the sizes of items which are difficult to measure by hand. Typical examples include building heights, tree heights, and tower heights.

In school...

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**Powers and Standard form**

Using indices laws to simplify expressions

Convert to and from standard form

**Right-angled triangles**

Pythagoras

Trigonometry

Scientists use standard form to do calculations in space or with atoms as the numbers are really large or small numbers.

Pythagoras and trigonometry is used in many industries including building trade, Engineering, architecture and many scientific disciplines. How high will a sloped ceiling be if I make the angle of elevation 40 degrees?

In school...

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**Volume and surface area of Prisms**

Volume of prisms including cylinders

Surface area of prisms including cylinders

**Probability of events**

Probability calculations

Frequency Trees

Probability Tree diagrams

Calculating how much cardboard will be needed to make a box.

Calculating how many tins of pain will be needed to paint a room in a house.

Probability is widely used in all sectors in daily life like sports, weather reports, blood samples, predicting the sex of the baby in the womb, congenital disabilities, statics, and many more.

In school...

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**Volume and surface area of Cones, Spheres and Pyramids**

Volume of Pyramids, Cones and Spheres

Surface area of Pyramids, Cones and Spheres

**Transformation**

Reflections

Rotations

Translations

Enlargements

Combined transformations

There are many examples of cones, spheres and pyramids in real life – ice cream cones, megaphone, traffic cones, Christmas trees, footballs.

Mass production of shoes and spectacle frames. flipping images on a computer. the mirror images of the chemical structure of the sugar molecules, glucose (in sugarcane) and fructose (in fruit).