# Maths

## Year 8

#### 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 £10 ex VAT

### Fractions and ratio (Foundation)

This course is aimed to boost the student’s confidence with fractions and ratio. We start by looking at the basics of fractions by finding equivalent and simplifying, before moving on to adding and subtracting fractions with the same denominator. We then look at what are ratios and look at using that understanding to convert metric measurements.

#### Recognise, shade and write fractions

#### Recognising that some fractions have the same worth

#### Simplifying fractions

#### Adding and subtracting fractions when they have the same denominator

#### Introduction to ratio

#### Converting metric measurements

### Number method: Part 1 (Foundation)

We start the course with recognition of place value within a number. In the second lesson we look at strategies to add large numbers together, using the place value skills. We then move on to using the same skills to subtract. The next lesson will involve finding what numbers are made of and how to make numbers by looking at multiples and factors. In the last part of the course we will investigate strategies in multiplying and dividing.

#### Recognising the value of digits in any number

#### Develop strategies to add large numbers together

#### Develop strategies for subtracting

#### Recognising factors, multiples and primes and how to differentiate between them

#### Develop strategies to multiply two numbers together

#### Develop strategies on dividing numbers

### Introduction to algebra (Foundation)

This module will focus on the basics of algebra. We will look at creating expressions before simplifying them by collecting like terms, adding and subtracting letters together. We then move on to solving basic equations in the first instance before applying the same method to more difficult ones. Following on from this we will cover substitution which is a skill they will need for science as well. The remaining lessons will be based on co-ordinates in all four quadrants and term to term rule sequences.

#### Creating expressions

#### Simplifying algebraic expressions

#### Solving equations

#### Recognising and calculating with formulae

#### Describe and plot coordinates in all four quadrants

#### Recognising a pattern in a set of numbers and how to calculate the next one in the sequence

### Properties of shape including angles and area (Foundation)

In this topic we will start by looking at the properties of shape. The first two lessons will be based around the properties of 2D and 3D shapes before moving onto some angle work where we will be describing and estimating angles. These are useful skills to have especially when trying to find the missing angle and using angle facts, e.g. how many degrees in a straight line? We advance to angles rules within certain 2D shapes and look at symmetry within these shapes. The focus of the final lesson will be on the area of shapes by counting squares before learning about the area of a rectangle.

#### Recognising and describing 2D shapes

#### Recognising and describing 3D shapes

#### Describing, estimating and measuring angles

#### Recall and apply basic angle rules

#### Symmetry of 2D shapes

#### Perimeter and area of 2D shapes

### Percentages, money and time (Foundation)

There are many connections between percentages and money and we start in this topic by looking at them separately and building the students confidence and skills. Many people get mixed up with money at times so we start by making sure that they are able to deal with money. In the second lesson we move on to finding simple percentages before working out more complicated percentages without a calculator. We end this course with time related problems by converting between 12 hour and 24 hour time and looking at solving problems that involve timetables.

#### Use of money to calculate change from a pound

#### Define percentage and calculate simple percentages of quantities

#### Finding a percentage of a quantity without a calculator

#### Calculating percentage change without a calculator

#### Reading time on a 12-hour clock and a 24 hour clock

#### Reading timetables to solve problems

### Introduction to statistics and probability (Foundation)

This topic will cover the basics of statistics and probability. We will start by learning about classifying objects into a Venn diagram before extracting information from different types of graphs such as bar charts and pictograms. In the third lesson we look at being able to read the information from a line graphs. The next lessons will focus on finding averages in data, ie calculating the mean and finding the median and mode with a little bit of the range of the data. In the last lesson we have a chance to look at probability and ways of finding the probability of something happening.

#### Construct and interpret Venn diagrams

#### Recognising interpreting different types of graphs

#### Reading and understanding line graphs

#### Finding the mode and mean of a set of data

#### Finding the median and range of a set of data

#### Calculating basic probability

### Fractions, decimals and percentages (Higher)

This topic will be covering different applications of fractions a and percentages which can be used in other subjects. The first lessons will cover simplifying fractions and applying the four operations to them. We will then move on to ordering fractions, decimals and percentages before finishing with percentages with a calculator.

#### Ordering fractions

#### Adding and subtracting fractions with different denominators

#### Multiplying and dividing fractions

#### Converting fractions to percentages and percentages into fractions

#### Ordering fractions, decimals and percentages

#### Calculating a percentage and percentage change with a calculator

### Further number methods (Higher)

This topic will look at more complex number work. The first half will focus on multiplying and dividing techniques extending to decimals. The fourth lesson will focus on rounding numbers, a skill which is used in other subjects often. The final two lessons will be based on prime index form and applying it to finding the highest common factor and lowest common multiple of two or more numbers.

#### Different strategies of multiplying two digit numbers

#### Division methods including long division

#### Multiplying and dividing decimals with whole numbers

#### Rounding numbers including decimal places

#### Prime index form

#### Finding the highest common factor and lowest common multiple using prime index form

### Expressions, equations and graphs: Part 1 (Higher)

We begin by looking at the coordinates on a graph and how to plot them which will go on to using it with 2D shapes.

During the next 4 lessons we look in depth at expressions and equations. Simplifying them to start before looking at solving equations and moving on to expanding and factorizing expressions. We end by focusing on patterns and sequences, finding the term to term rule and describing how the sequence is formed

#### Coordinates in all four quadrants

#### Simplifying expressions

#### Creating and solving equations

#### Expanding expressions

#### Factorising algebraic expressions

#### Sequences and n-th term

### Mensuration and Pythagoras’ theorem (Higher)

In the first three lessons we concentrate on area, looking at the formula for triangles, parallelograms and circles before ending with the area of compound shapes. We move on in lesson 4 and 5 to 3D shapes. Firstly, finding the volume of a prism then the surface area of a prism. We end with dealing with the Pythagoras Theorem, finding the size of the length of any side of a right angle triangle.

#### Calculating the area of triangles and parallelograms

#### Calculating the area and perimeter (circumference) of a circle

#### Calculating the area of compound shapes

#### Volume of cuboids and prisms

#### Calculating the surface area of 3D shapes

#### Using Pythagoras’ Theorem to calculate the length of a side of a right angled triangle

### Angles and transformations (Higher)

Some angle facts should be known at the start because in the first lesson we look at angles in a parallel line and in a triangle. In the second lesson we look at how many degrees these are in any polygon and see if there is a formula we can use. The next three lessons we look at transformations, looking at reflecting and rotating, transformation and enlargement, with one lesson using the ray method of enlargement. We end this section by looking at similar and congruent shapes.

#### Calculating the missing angle when dealing with parallel lines

#### Calculating missing angles from any 2D shape

#### Reflecting and rotating shapes

#### Translation and enlargement

#### Using the ray method to enlarge shapes

#### Recognising the difference between similar and congruent shapes

### Further statistics and probability (Higher)

In the first lesson we will look at averages from raw data we will find the mode mean and median and look at the range of the data. In the second lesson we will expand on this knowledge to finding all the averages in grouped data or in a table. During the next two lessons we will be dealing with charts and graphs, reading drawing and constructing pie charts, before looking at frequency polygons and scatter graphs. We will move on to probability; starting with calculating the probability of a single event happening and then the probability of more than one event.

#### Finding averages and the range from a set of data

#### Calculating averages from tables

#### Reading and constructing pie charts

#### Displaying continuous data

#### Calculating the probability of an event happening

#### Calculating the probability of two events happening

### Quick Links

- Fractions and ratio (Foundation)
- Number method: Part 1 (Foundation)
- Introduction to algebra (Foundation)
- Properties of shape including angles and area (Foundation)
- Percentages, money and time (Foundation)
- Introduction to statistics and probability (Foundation)
- Fractions, decimals and percentages (Higher)
- Further number methods (Higher)
- Expressions, equations and graphs: Part 1 (Higher)
- Mensuration and Pythagoras’ theorem (Higher)
- Angles and transformations (Higher)
- Further statistics and probability (Higher)

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