# Maths

## Year 8 (Foundation)

#### Tute’s team of experienced teachers have planned our lessons to work alongside what students are studying in school; to enable catch-up, to consolidate something that was difficult to master in class or to help revise for exams. To make is easy to choose lessons for different subjects, year groups and levels, we have organised lessons into topics that are fully aligned with the National Curriculum ensuring a comprehensive coverage of the curriculum that makes sense!

#### All you need to do is select the topic and then the level you feel is appropriate and you will find a list of suitable lessons that you can book for just £12 inc. VAT

### Adding, subtracting, multiplying and dividing.

This topic will cover methods of adding, subtracting, multiplying and dividing whole numbers. We will start with mental addition and subtraction where we will apply strategies such as number bonds, near tens and partitioning. Written forms of addition and subtraction concentrate on using the column method and will include ‘door-stepping’ and ‘borrowing’. Short and long methods of division will focus on the ‘bus stop’ method, and multiplication will teach three different methods; column, grid and Napier’s bones. Each method is followed by focussing on arithmetic with worded questions, initially with adding and subtracting and then by multiplying and dividing.

#### Mental addition and subtraction strategies.

#### Written methods of addition and subtraction.

#### Word problems using addition and subtraction.

#### Short and long division.

#### Short and long multiplication.

#### Word problems using multiplication and division.

### Negative numbers and decimals.

This topic will cover negative numbers and decimals. We start by looking at adding, subtracting and ordering negative numbers and then use them in the context of temperature and money to solve word problems. We then move on to boost the student’s confidence with decimals across the full topic starting with adding and subtracting, before moving on to the rules of multiplying and dividing. We will be considering place value and the basis and rules of rounding whole numbers and decimals.

#### Negative numbers.

#### Word problems using negative numbers.

#### Adding and subtracting decimals.

#### Multiplying with decimals.

#### Dividing decimals.

#### Rounding numbers, including decimal places.

### Multiples, factors, fractions and percentages.

This topic will cover multiples, factors, fractions and percentages. We will first Investigate and find multiples and factors of numbers, and then use this skill to determine the highest common factor (HFC) and lowest common multiple (LCM) of sets of numbers.

We then apply this knowledge to help us to simplify fractions and to recognise equivalent fractions, which we will use to enable us to add and subtract fractions with different denominators. Following on from this we will learn a process to change mixed numbers into improper fractions, and how it can be reversed. We will then look at how to calculate any percentage of a number, and how to use this process to work out percentage increase, before finally using all of the skills to solve everyday problems with fractions and percentages.

#### Multiples and Factors

#### Highest Common Factor and Lowest Common Multiple.

#### Simplifying fractions.

#### Adding and subtracting fractions.

#### Percentages of numbers.

calculating different percentages and increasing amounts by different percentages.

#### Word problems using fractions and percentages.

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### Safeguarded

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### Recorded

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### Professional

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