AS Mathematics AS Further Mathematics Transition Booklet. Name: Bridging the gap to A Level!

Transcription

1 AS Mathematics AS Further Mathematics Transition Booklet Name: Bridging the gap to A Level!

2 Introduction You will be starting an A-Level Maths course in September, and it is important that you are ready for the step up. The best way to prepare yourself is to make sure you have a firm grasp of the knowledge and skills you have already developed at GCSE level. Many areas of AS and A2 Mathematics require the confident use of algebraic and numerical concepts. Our experience has taught us that without such confidence, many students will struggle and perhaps not make the progress that they should. This set of resources is designed to help you check if you are up to speed and to help you fill in any gaps. If you do this you will put yourself in a good position to start the A-Level Maths course in September. At the back of this booklet you will find some exercises that need to be completed before September. All sections should be attempted. There are MyMaths references to provide you with support/revision in these areas The work is to be completed and handed in during your first Maths lesson You will have a transition test during the second week of term which will your understanding of these topics. Skills you need Below is the list of the skills you should be confident with before starting the A-Level Maths course: Basic Algebra (non-calculator) simplifying algebraic expressions by collecting like terms general laws of indices expanding and factorising expressions (one term outside) laws of indices for all rational exponents (positive, negative, fractions) using and manipulating surds rationalising the denominator of a fraction when it is a surd Quadratic Functions (non-calculator) plotting graphs of quadratic functions expanding and factorising quadratics (two brackets) solving quadratic equations by factorising solving quadratic equations using the formula solving quadratic equations by completing the square Simultaneous Equations (non-calculator) solving simultaneous linear equations by elimination solving simultaneous linear equations by substitution

3 These are all GCSE topics so there is nothing here which you have not already covered. Please note, though, that you need to be able to do all of the work without a calculator, as calculators are not allowed in the Core 1 AS-Level module. Resources to help you For each of the topic areas listed above, there are section on MyMaths to support you. Section Basic Algebra (non-calculator) Quadratic Functions (non-calculator) Simultaneous equations (non-calculator) MyMaths Reference Algebra Algebraic manipulation Brackets Number Powers and roots Indices 1 Number Powers and roots Indices 2 Number Powers and roots Indices 3 Number Powers and roots Surds 1 Number Powers and roots Surds 2 Q1 only Algebra Algebraic manipulation Factorising Quadratics 1 Algebra Algebraic manipulation Factorising Quadratics 2 Algebra Equations - quadratic Quadratics equations Algebra Equations - quadratic Quadratic formula Algebra Equations - quadratic Completing the square Algebra Equations simultaneous Simultaneous equations 2 Algebra Equations simultaneous Simultaneous equations 3 Practical Information You will be provided with an exercise book but you will also need an A4 file, some paper and dividers. Please ensure that all work in your file is kept in a logical, presentable way with all assessments and objective sheets in the correct place. Examinations in the summer of 2017 AS Mathematics Core Maths 1 Core Maths 2 Statistics 1 AS Further Mathematics

4 Core Maths 1 Core Maths 2 Statistics 1 Statistics 2 Mechanics 1 Decision Maths 1 Further Pure 1 Useful Websites NRich Mathwire The History of Maths Decision Maths Videos The joy of Stats

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14 REQUIRED DEFINITIONS FOR S1 Find the definitions for these stages of Statistical Modelling 1. A real world process is 2. A mathematical model is 3. The mathematical model is used to 4. Experimental data is 5. Compare 6. Statistical tests are used to 7. The mathematical model is