Although this may seem a pretty simple start, it is important to have a variety of methods available to you in order to be able to multiply and divide more complex calculations without using a calculator.

I have attached photos of some exercises you can use to practise your methods.

This lesson highlights the importance of using BIDMAS in which to identify the order in which you complete calculations.

Please see page 2 exercise 1 and 2 in your textbook. Please note the textbook calls this BODMAS - it is the same thing!

This lesson helps you to recognise the different types of number and introduces the prime factor trees going through some exam style questions.

Remember you need to be aware of first 15 square numbers, first 5 cube numbers and first 10 prime numbers.

Please see textbook pages 7-11.

This session will draw upon your knowledge of factors and multiple and will enable you to see a use for writing numbers as a product of prime factors.

Some exam questions from www.mathsgenie.co.uk are attached with solutions.

To further practise, you can use pages 12, 13 and 15 in the textbook.

The first video is an introduction to indices and incorporates the 3 easiest indices rules you are expected to know - this alone is grade 4 indices.

The second video incorporates the more difficult indices rules, negative powers and fractional powers. .

To practice multiplication and division rules, pg 92 exercise 1 and pg 93 exercise 2.

For the negative and fractional powers, pages 94-95 exercise 3 and 4.

For some exam questions, resource from mathsgenie.co.uk.

This is a video combining all the surds you need to know for higher GCSE - what they are, how you manipulate them and how you can work with them. There is a lot covered in this video and you might find it easier to pause, practice and then do the next bit. Pages from the textbook to support you are as follows.

Simplifying Surds - page 99 exercise 1

Adding and Subtracting surds - page 101 Exercise 3

Expanding brackets with surds page 102 Exercise 4

Rationalising - page 103 Exercise 5 and 6.

Introduction to standard form - page 96 and 97

Please refer to pages 62-64 in the textbook.

This lesson looks at higher and lower bounds of numbers and how to do calculations using them. You need to be able to round numbers in order to be able to understand how bounds work. More practice can be found on page 21 in the higher textbook. Some exam questions found on www.mathsgenie.co.uk are also attached. 

This lesson shows you how to simplify algebraic terms by collecting like terms and simplifying fractions. These are key skills to develop and you will struggle with the remaining algebra content if you do not master these. Practice questions can be found on page 75 and 76 of the higher textbook. 

This lesson draws upon your simplifying skills and looks at what it means to have expressions written in brackets. This lesson shows you how to expand single, double and triple brackets ranging from grade 3 to grade 8. These skills will be used further as we go along. Extra practice can be found on pages 77-79 of the textbook. 

This lesson allows you to use your knowledge of expanding brackets and reverse the process to put expressions back into brackets using common factors. It covers both single and double brackets taking you up to grade 6. Extra practice can be found on pages 80-83. Lesson 18 will  show you how to factorise harder quadratic equations hitting the grade 7/8 factorising. 

This lesson will expand on your knowledge of factorising by including quadratics with coefficients of x^2. This a grade 6-8 topic and requires practice and knowledge of factors of numbers.  Practice can be found on page 84 and some sample exam questions on page 90. 

This lesson allows you to understand how to substitute a number in the place of a letter to find the value of an expression. This is used a lot in scientific formulae. You can find practice on page 106-107. 

This lesson consists of 2 videos on solving equations. The first is an introduction to solving equations and talks you through the basics to gain a firm base. The second, takes the process one step further by solving equations with unknowns on both sides of the equals sign. Practice can be found on pages 113-116 in the textbook. 

21. Introduction to straight line graphs and plotting quadratics - this lesson plays with plotting coordinates and creating straight line graphs by calculating coordinates. This website https://www.transum.org/Maths/Activity/Coordinates/Picture.asp is great for practicing plotting coordinates - pictures start easy but get harder! The second video goes onto finding coordinates of quadratic graphs and plotting these. Practice can be found on page 177. 

Lesson 22 - Straight line graphs. This lesson helps you to identify the gradient and y-intercept of a straight line graph given the equation. It also demonstrates how to determine if 2 straight lines are parallel, perpendicular or neither. Some practice questions from mathsgenie.co.uk are attached and you can find further practice on page 180-186 of the textbook. 

This lesson shows you how to apply your already applied knowledge of factorising a quadratic to pushing it one step further to find a solution. Practice can be found on page 135.

This gives you another way of solving a quadratic equation. You will need your calculator handy as this comes up on the calculator paper. Practice can be found on page 140 of the textbook. 

This lesson shows you how to use your knowledge of solving linear equations to rearrange formulae to find unknowns. Practice can be found on page 109 of the textbook. 

here are two parts to this lesson, the general method of completing the square and how to solve quadratics by completing the square. This builds on your knowledge of quadratics and will hopefully help to cement the parts you already know. More practice can be found on page 137 of the textbook and there is also a worksheet attached. 

These two videos show you about function notation and the use of inverse functions and composite (more than one!) function. Practice can be found on pages 228-235 of the textbook with answers in the back. 

Introduction to sequences. This lesson starts off with what a sequence is and how to look for the patterns and continue the sequences to find the next few terms. Practice can be found on page 161 of the textbook. 

Recognise key sequences - this lesson demonstrates the different types of sequence you need to be familiar with that are not straightforward linear sequences. It looks at square numbers, triangular numbers and the Fibonacci sequence. A picture of the fibonacci spiral is included - apologies for my brain moment! 

Finding the nth term of a sequence. This lesson looks at how to find the nth term rule of a given sequence and makes it clear what each part means. Extra practice can be found on page 167 of the textbook. 

This lesson builds upon the previous lesson by using the nth term rule to generate a sequence of numbers and decide if a certain number is in a sequence. Practice can be found on page 170.

This lesson develops your knowledge of sequences and links them to y=mx+c previously covered. Practice can be found on page 170. If you print the powerpoint, there are some predrawn axis you can use. 

This lesson shows you how to find the nth term of a fractional sequence and a quadratic sequence. Practice questions can be found covering all sequences on page 176. There are also some exam style questions from corbettmaths.co.uk attached with solutions. 

This lesson introduces you to the idea of a ratio and how you can apply it to fractions. Practice can be found on page 42-46.

This lesson shows you how to split a number into a given ratio. Practice can be found on page 50. 

This lesson shows you how to use ratio to break down a problem to find the cost of one item. Practice can be found on p53. 

In this lesson you will learn to create equations linking two quantities that are directly proportional to each other. You will use these equations to find unknown quantities. More practice can be found on page 127 of the textbook. 

In this lesson you will link two quantities that are inversely proportional to each other. Practice can be found on page 130 of the textbook with exam questions on page 134.

This lesson introduces you to the notation of set theory and the symbols. Please see page 236 for practice. 

This lesson applies your knowledge of sets to Venn diagrams and helps you put data into them.  Extra practice can be found on pages 238-244 of the textbook. 

This lesson shows you how to list possible outcomes to an event systematically. It also shows you how to understand, draw and interpret a two way table. Practice can be found on page 451 of the textbook

This lesson shows you the difference between theoretical and experimental probability. Practice can be found on page 454-460 of the textbook. 

This lesson explains what we mean by the and/or rules of probability and highlights when to add and when to multiply probabilities. Practice can be found on pages 463-468.

This lesson highlights all you need to know about tree diagrams, how to construct them and how to read off them including some exam style questions. Practice can be found on page 470.

This lesson follows on from the tree diagrams and shows you how to find probability if an event is known. Practice can be found on page 472 of the textbook. 

This session explains the different data types you can collect in a questionnaire. It explains what a sample is and demonstrates random, systematic and stratified sampling methods. Practice can be found on page 405 of the textbook. 

This lesson teaches you how to calculate the mean, median, mode and range of a set of data, understanding what each is and how to calculate each. Practice can be found on page 416-425 of the textbook. 

Frequency polygons. This lesson shows you how to construct a frequency polygon by finding the midpoints of the groups and plotting the frequency. Practice can be found on page 433. 

This lesson shows you how to draw and interpret histograms. It shows you about Frequency density and how the area represents the frequency. Practice can be found on page 434.

This lesson shows you how to draw a cumulative frequency graph and use it to find the median, lower and upper quartiles and the interquartile range. Practice can be found on page 437.

This lesson shows you what a time series graph is and how to interpret it. Practice can be found on page 440. 

This lesson shows you how to draw a scattergraph and understand correlation and how to find data using the graph. Practice can be found on page 442 with exam style questions on pages 449.