This section will begin with covering some basic number skills - while some of it may seem easy, it is important to get a good grasp on these things before moving on to the tougher parts of the course, I promise it will get harder!

Textbook page 13 Exercise 1 and page 14 Exercise 2 are linked.

Some exam questions will also be uploaded from www.mathsgenie.co.uk - a great site for practise questions.

This session will help you develop techniques for multiplying and dividing without a calculator - a skill which will support you in a large number of exam questions. You will need methods that you are confident with and make it easy for you.

Pages 19-24 in the textbook will allow you to practise these methods with the more difficult section involving decimals.

BIDMAS tells you the order in which you conduct calculations - it is key to use this whenever doing a calculation in maths. Always brackets, indices, division, multiplication, addition and subtraction.

Page 2-3 in the textbook and I have also linked some exam questions for you to practice.

It is really important you know how the different types of number and can identify them and use them in different calculations.

Please refer to page 39 in the textbook and pages 52-55. The next lesson will continue from this, so it is imperative you know how to do this.

This lesson will look at the highest common factor and lowest common multiple, drawing on your knowledge of factors and multiples from the previous lesson and showing you where the product of prime factors can be useful.

You can practise by doing exercises on page 58-60 inclusive.

I have also included some exam questions and answers from www.mathsgenie.co.uk.

This session will give you an introduction to the indices rules you will need to know and what a power does to a number. It will show you where the power button is on your calculator. This lesson will be followed up with another video within the next week.

If you would like to practice this further, please go to page 42 exercise 1.

Introduction to standard form Page 47 and 48, exercise 1 and 2.

This lesson will take you through how to add, subtract, multiply and divide using fractions. You will use the skills of finding a common denominator and using your equivalent fraction knowledge to simplify where possible. Extra practice can be found on pages 71-80 of the foundation textbook or pages 31-25 of the higher textbook. 

This lesson will demonstrate methods you can use to find percentages of a number, both a non-calculator and calculator method. This is a key mathematical skill you can use to answer more complex maths. Extra practice can be found on page 59 of the higher textbook or page 102 of the foundation textbook. 

This lesson demonstrates how to increase and decrease by a percentage using the idea of percentage multipliers which are predominantly used in business and finance. Extra practice can be found in the higher textbook on page 65 and in the foundation textbook on page 112.

Following on from last lesson this looks at how interest is calculated and how we can use our knowledge of percentage multipliers to develop strategies to solve more complex mathematical problems with percentage change. These questions are aimed at grade 4/5. Practice can be found on page 70-73 of the higher textbook and page 119 of the foundation textbook. There are also some exam style questions from www.mathsgenie.co.uk available for you to practice. 

This lesson looks at how to simplify algebraic expressions by collecting like terms. This is the first of a number of lessons on algebra and introduces the context of algebra. More practice can be found on page 124 of the foundation textbook. 

This lesson shows you how to manipulate algebra by expanding brackets using your simplifying knowledge from the previous session. It covers single and double brackets so you may choose to break this into two sessions. Practice questions can be found on pages 127-130 of the foundation textbook. 

This lesson is the opposite of expanding brackets, it looks at how to reverse the process by putting expressions into brackets using common factors of numbers. This is great practise on finding factors and you can check your answers by using your expanding skills from last lesson. Extra practice can be found on page 131 of the textbook. 

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. Practice can be found on pages 166-168. 

The use of function machines is a good starting point for understanding the processes involved in solving equations. It will have you using both inputs and outputs, substituting in and reversing the processes. Practice can be found on page 172.

This lesson shows you how to solve one and two step equations and will help you to understand the techniques of balancing equations in order to find out the value of the unknown. Practice can be found on pages 137-141. 

This lesson follows on from the last session on solving equations. This incorporates what you learnt last session and takes the process one step further solving equations with x on both sides. This is grade 4/5 questions. Practice can be found in textbook on page 142-144. 

21. Introduction to straight line graphs - 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! Practice can be found on pages 188-194.

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 194-204 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 206.

Lesson 24 - Solving quadratics using the quadratic formula. 

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 demonstrates how you can manipulate a quadratic equation. A worksheet is attached for practice. 

This is an introduction to continuing a sequence. It provides you with the relative terminology of a sequence and helps to explain how to decide if a set of numbers is a sequence. Practice can be found on page 161 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 181.

This lesson develops your knowledge of sequences and links them to y=mx+c previously covered. Practice can be found on page 201. 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. Practice questions can be found covering all sequences on page 187. There are also some exam style questions from corbettmaths.co.uk attached with solutions.

This is an introduction to simultaneous equations and builds upon your knowledge of plotting straight line graphs. Practice questions for simultaneous equations can be found on pages 156-159. Methods will be covered over the next 3 lessons

This lesson is how to solve simultaneous equations using elimination. This tends to be the preferred method for Foundation GCSE students, but make sure you practice all methods, because some are easier with different equations!

This lesson shows you how to solve simultaneous equations using the method of substitution. It is good to practice all methods because some are easier in different circumstances. Practice can be found on pages 156-159. 

This will use your already established knowledge on simultaneous equations but will also develop your skills in forming equations. 

During this lesson you will understand the inequality symbols and be able to display inequalities on a number line. Practice can be found on pages 151-156. 

This will have you using your skills of solving equations to solve similar problems using inequality symbols instead. Practice can be found on pages 151-156.

This lesson introduces you to the idea of a ratio and how you can apply it to fractions. Practice can be found on page 89-100.

This lesson shows you how to split a number into a given ratio. Practice can be found on page 89-100. 

Lesson 40 - Using ratio to solve proportion questions - the unitary method. This lesson shows you how to use ratio to break down a problem to work out the cost of 1 item. Practice can be found on page 89-100. 

Lesson 41 - Using ratios to solve compound problems. This lesson shows you how to use ratio to solve speed/distance/time problems. More practice can be found on page 277-279.

In this lesson you will convert between different metric units and understand which units measure length, volume and mass. Practice can be found on pages 89-100 of the textbook. 

This looks at how to use your knowledge of proportion to answer questions on recipes and scaling up. Please see attached questions from corbettmaths.co.uk for practice. 

This lesson gets you to use conversion graphs and proportion graphs understanding the shape they form and how to read from them. Please see page 231 for practice. 

This lesson teaches you about repeated percentage change. Extra work can be found in the textbook pages 228-235. 

This lesson explains the difference between similar and congruent shapes and shows you how to calculate scale factors and missing sides. Practice can be found on page 411.

This lesson goes through the 4 different types of transformation, Translation, Reflection, Rotation and Enlargement. Practice can be found on pages 392-404. 

This video goes into more detail about column vectors and shows you how to calculate with them. Practice can be found on page 314.

This video explains what perimeter is and how to calculate it. Practice can be found on page 345-350.

This video shows you how to work out area of 2D shapes and shows you how to use the formula for area of a rectangle, triangle and trapezium, as well as compound shapes. You may want to pause after each shape and practice a few questions. Questions can be found on page 345-350.

This video tells you the parts of a circle which you need to memorise and shows you how to calculate the circumference of a circle. Practice can be found on page 355. 

This lesson goes through how to find the area of circles and the area of sectors. These will involve your use of a calculator and your understanding of finding fractions of a number. Practice can be found on pages 358-360 of the textbook. 

This lesson follows on from the area of a sector and shows how to calculate the length of an arc (a fraction of the circumference). Practice to be found on page 360 of textbook. 

This lesson talks you through 3D shapes and how to find the volume of prisms. Practice to be found on page 363 and 375 of textbook.

This lesson introduces Pythagoras Theorem and shows you how to find the length of a missing side on a right-angled triangle given the remaining two sides. Practice can be found on pages 301-305 of the textbook. 

This lesson introduces trigonometry and shows you how to find the missing side of a right angled triangle when given the side and angle. 

This lesson follows on from the last lesson demonstrating how to use the trigonometric ratios to find the angle of a right angled triangle given two sides. Practice for all trigonometry can be found on pages 306-311.

This lesson is a grade 5 topic and shows you how to work out the exact values of Sin, Cos and Tan of 30, 45 and 60. These can be memorised or you can learn the triangles and work them out each time. 

This lesson shows you how to use a compass and protractor to construct triangles, perpendicular bisectors and angle bisectors. Practice can be found on page 323.

This lesson shows you what is meant by plan elevation, front elevation and side elevation. Practice can be found on page 368.

This lesson introduces the idea of probability. Complete this lesson and the next before attempting the practice questions. 

This lesson introduces the idea of an outcome and gives examples of two-way tables and calculating probabilities from them. Practice can be found on pages 467-475.

This lesson introduces the idea of a venn diagram and the notation. It demonstrates how to find probability from a Venn Diagram. Practice can be found on page 488.

This lesson introduces tree diagrams and shows how they can be used to find probabilities of multiple events occurring. Practice can be found on page 486.

This lesson shows you how to calculate the mean, median, mode and range from a set of data, including a frequency table. Practice can be found on page 435-436. 

This session goes through a number of wordy exam style questions demonstrating methods used to try and make sense and answer them.