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Algebra: Sequences / Series BIG Bundle (10 lessons) inc. loads of resources

Algebra: Sequences / Series BIG Bundle (10 lessons) inc. loads of resources

This is a big bundle on sequences that includes everything needed for your GCSE classes and AS Level work on arithmetic and geometric series. 1. Introduction to Linear Sequences 2. Linear Sequences in Diagrams/Patterns 3. Quadratic Sequences 4. Cubic, Exponential and Other sequences 5. Fibonacci Sequence / Golden ratio and Spiral 6. Arithmetic Series 7. Sum of Arithmetic Series 8. Geometric Series 9. Sum of Geometric Series 10. Sum of infinite Series This is also available as a GCSE bundle only if that is your preference. NOTE: Feel free to browse my shop for more free and premium resources! As always please RATE and FEEDBACK (comments good or bad) thank you!
ajf43
Sequences: Limits

Sequences: Limits

Exercises to introduce limits of sequences, particularly for recurrence relations. The recurrence relation 2 exercise has in context application. All answers given. Exercises also on Promethean flipchart. Click on Design Mode to reveal all answers or edit. In recurrence relation 2 exercise, can click around the first line of the question to reveal/hide answer.
tumshy
Quadratic sequences worksheet (or test) with answers

Quadratic sequences worksheet (or test) with answers

2 A4 sides with questions on quadratic sequences (or could be used as a test). Questions include next numbers in sequences finding the nth term and finding a term in the sequence. Followed by 2 A4 sides with answers. Suitable for years 8-11 higher and middle ability sets. L/O: To find nth term formula of quadratic sequences and find the term given a number in the sequence.
lunchbox1
Algebra: Sequences 10 - Sum of Infinite Series (A-Level) + lots of resources

Algebra: Sequences 10 - Sum of Infinite Series (A-Level) + lots of resources

This is the last of my lessons on sequences and looks at convergent series and how to find the sum if the sequence is infinite. This is a helpful lesson tieing nicely other previous lessons on sequences. It comes with a starter, learning objectives, excellent teaching slides with plenty of examples and embedded exam questions, questions with answers and a plenary. Normally I would teach this material in about 30-40 minutes and spend the rest of the lesson and into homework looking at past exam questions. I have attached past exams questions that I use with mark scheme and a shorter answer format for photocopying reasons. NOTE: Feel free to browse my shop for more free and premium resources! As always please RATE and FEEDBACK (comments good or bad) thank you!
ajf43
Algebra: Reciprocal and Exponential Graphs (+ worksheet and resources)

Algebra: Reciprocal and Exponential Graphs (+ worksheet and resources)

This is a lesson on teaching about reciprocal and exponential graphs. This begins with what these graphs look like with key points or characteristics. It then looks at drawing them and then problems associated such as finding gradients and solutions to equations. 20 slides + resources. The additional resources are an excellent differentiated worksheet to practise drawing and a few additional problems. It also comes with blank axis so pupils don't have to spend long periods drawing unnecessarily and also a handout to look at all different graphs. NOTE: Feel free to browse my shop for more free and premium resources! As always please RATE and FEEDBACK (comments good or bad) thank you!
ajf43
Algebra: Sequences 9 - Sum of Geometric series (A-Level) + worksheet

Algebra: Sequences 9 - Sum of Geometric series (A-Level) + worksheet

This lesson builds on the previous lesson that introduced geometric sequences and series. This lesson focuses on where the formula comes from and how to use the formula for finding the sum of geometric sequences. It comes with a differentiated worksheet with different types of questions. The lesson comes with a starter, learning objectives, keywords, excellent teaching slides and examples, questions with answers and a plenary. This is part of a bigger bundle or series, which can either be purchased with or without the additional A-Level lessons. NOTE: Feel free to browse my shop for more free and premium resources! As always please RATE and FEEDBACK (comments good or bad) thank you!
ajf43
Algebra: Sequences 8 - Geometric Sequences or Series (A-Level) + worksheet

Algebra: Sequences 8 - Geometric Sequences or Series (A-Level) + worksheet

This lesson builds on the previous lessons but does introduce GEOMETRIC sequences and series. The lesson looks at what a geometric sequence is, finding the common ratio in various problem-solving forms, individual terms and other problems. The worksheet is differentiated with suggested different starting points to see the type of questions that can be asked. It is an excellent worksheet that has accompanying answers. The lesson comes with a starter, learning objectives, keywords, excellent teaching slides and examples, questions with answers and a plenary. This is part of a bigger bundle or series, which can either be purchased with or without the additional A-Level lessons. NOTE: Feel free to browse my shop for more free and premium resources! As always please RATE and FEEDBACK (comments good or bad) thank you!
ajf43
A-Level Summary Notes (with detailed solutions)

A-Level Summary Notes (with detailed solutions)

These are (were) my C1 summary notes. The questions are carefully selected and have fully-worked solutions. Perfect for re-sit students to self-study, but I continue to use the relevant sections for GCSE 9-1 and the new A-level. Topics covered are: 1. Rules of Indices 2. Surds 3. Simultaneous Equations (Involving Quadratics) 4. Solving Inequalities 5. Factorising Cubics 6. Completing the Square 7. Sketching Graphs 8. Understanding the Discriminant 9. Transformations of Functions 10. Co-ordinates and Straight Line Graphs 11. Intersections of Graphs
 12. Differentiation and Integration 13. Equations of Tangents and Normals 14. Terms in a Sequence 15. Arithmetic Series
Maths4Everyone
Key revision points for C2 Core A-Level Maths

Key revision points for C2 Core A-Level Maths

A collection of key points to remember for C2 Core AS Maths. Prevents against silly mistakes and allows students to reach top marks! Possible mistakes collected from the questions and mark schemes from 20+ past papers. Relevant to C2 content: > Proof > Logarithms > Integration > Differenciation & differenciation from first principles > Sequences and series > Sectors > Trigonometry and graphs > Trig identities > Log and exponential graphs > Translations > Significant figures > Trapezium area calculations Information divided into clear headings with very important points highlighted in yellow. Recommended for A-Level Maths students taking C2, especially relevant for OCR MEI exam board. An invaluable collection of points to have before an exam.
Louisa_Snape
KS4/KS5 maths convergence investigation

KS4/KS5 maths convergence investigation

This investigation (includes teacher notes and worksheets) is suited to very able KS4 groups and those in KS5 studying Maths. It covers the topics of convergence, subject of a formula and even can be expanded to iteration for more advanced learners. Pupils are given a starting value of a sequence, which they multiply by 3, add 10 to then and finally divide by 4 to generate the next term in the sequence. They then multiply this value by 3, add ten to it and divide by 4 to get the next term and so forth, generating the sequence in an iterative manner until the sequence converges. The goal of this investigation is to find a relationship between the initial starting value of the sequence and that which it converges to. This can be explained in a satisfying algebraic way using subject of the formula although pupils may offer other alternative explanations.
samcurran1