Algebra and Graphs
Algebraic Manipulation and Representation
Introducing Algebraic language
Changing the Subject
Combining and Simplifying Algebraic Fractions
3 Laws of Indices
Equations and Inequalities
nth Term Rule
Graphs in Practical Situations
Difference Distance and Speed -Time graphs
Acceleration and Deceleration
Area under Speed-Time Graph
Graphs of Functions
Graphical Solution of Quadratic Functions
Gradient of a Curve
Graphical Solution of Equations
Inverse of Functions
For Geometry we study points, lines, surfaces and solids and their relationship. To pass your IGCSE GCSE Maths exam it is important to be comfortable working with geometrical properties including constructing various geometrical figures. Check therefore my selection of links where I explain all you need to know about Geometry to pass your maths exam. Have fun!!
How to solve Quadratic Equations
When you have to solve a GCSE IGCSE maths question, it is important to decide upon a strategy that will help you to find the correct answer. After studying the following videos you will know and understand exactly how to approach questions for which you have to solve quadratic equations. As a start you have to make an important distinction between linear and quadratic equations. When you have to solve a linear equation (equations in which the highest power of x is 1) you will rearrange the equation and try to isolate x. In other words - you will 'move' terms around and put all your terms with an x on one side of the equal sign, and all other terms on the other side.
Do you have to use a similar approach when solving quadratic equations (equations in which the highest power of x is 2)? The video will explain to you how to approach all maths questions involving solving quadratic equations and show you step by step what you need to considering when you get a similar question on your GCSE IGCSE maths exam paper.
Example Questions solving Quadratic Equations by Factoring
How to solve Quadratic Equations by using the (abc) Formula
You have learned an excellent strategy to solve quadratic equations. But what do you need to do when you get a quadratic equation which you cannot factorize? How do you solve these equations then? The next videos will show you step by step how to solve these types of quadratic equations. The videos will explain the Quadratic Formula to you which I prefer to call the abc-formula. Find out quickly why I call it the abc-formula! I will give you a small warning up front. You will most very likely feel frightened and scared at the beginning and probably tell yourself you cannot do it and will never understand! Trust me also when I tell you that 98% of all students around the world have exactly the same feeling when they have to solve quadratic equations for the first time! And trust me again when I tell you that I know for a fact, that despite your initial fear, you will absolutely be able to answer these GCSE IGCSE maths questions if you practise. So don't worry and believe in yourself! I most definitely do!
The next two videos will continue to show you step by step how to solve quadratic equations using the formula. The second video however will show you how you can do the entire operation in your calculator. Although on your GCSE IGCSE maths exam you will be required to show all workings (so you cannot rely completely on your calculator) it is an excellent way to check your answer and evaluate whether you perhaps have made a silly mistake. So look at video one first and then continue to the second activity which will solve the same question but then completely with the calculator.
Example questions solving Quadratic Equations by using the (abc) Formula
If you want to understand maths and do well on your GCSE IGCSE maths exam paper, then you will have to practise for yourself. I therefore strongly encourage you to solve the following maths example questions in the video below yourself first before looking at my answers and workings (so pause the video!). In order to make the maths activity really useful, please make sure you have properly studied all the previous videos in which I explain how to solve quadratic equations by using the quadratic formula. If you still don't understand how to solve quadratic equations, then please send me a message on the forum, Facebook or Twitter. I will explain it again to you in some more videos. Good luck and have fun!
Congratulations!! You have learned a lot of maths and now understand how to solve quadratic equations. I have explained to you how to solve them by factoring and by using the quadratic formula. Continue with your maths revision and follow the link below. I will explain to you what linear programming is and how to solve these questions on your maths exam. I will see you there!!