#### The nth term of an arithmetic sequence worksheets (with solutions)

Three worksheets on generating a sequence given its nth term and finding the nth term given the first few terms of a sequence. Detailed solutions are provided. From https://placeformath.blogspot.com/p/worksheet-shop.html

#### The nth term of an arithmetic sequence worksheet no 2 (with solutions)

A worksheet on generating a sequence given its nth term and finding the nth term given the first few terms of a sequence. Detailed solutions are provided. From https://placeformath.blogspot.com/p/worksheet-shop.html

#### Sequences-determining the rule and finding terms worksheet no 2 (with solutions)

A worksheet on determining the rule followed by arithmetic sequences and finding terms in specified positions. From https://placeformath.blogspot.com/p/worksheet-shop.html

#### Arithmetic Sequences

Lots of questions on finding the nth term of an arithmetic sequence (none of these questions refer to the summation). Answers are at the bottom of the sheet. Please let me know if you like it.

#### Sequences-determining the rule and finding terms worksheet (with solutions)

A worksheet on determining the rule followed by arithmetic sequences and finding terms in specified positions. From https://placeformath.blogspot.com/p/worksheet-shop.html

#### The nth term of an arithmetic sequence worksheet (with solutions)

A worksheet on finding the nth term of an arithmetic sequence given its first terms. The formula dn+(a-d) is used. Solutions are included. From https://placeformath.blogspot.com/p/worksheet-shop.html

#### Introduction to Sequences Color by Number

With this activity, students will find terms of sequences and then color their answers on the picture according to the directions to reveal a beautiful, colorful mandala! As an added bonus, the final products make fabulous classroom decor! This activity is an excellent resource for sub plans, enrichment/reinforcement, early finishers, and extra practice with some fun. It is especially useful for end-of-year practice, spiral review, and motivated practice when students are exhausted from standardized testing or mentally “checked out” before a long break (hello summer!). Teachers and students alike enjoy motivating activities, so engage your students today with these fun coloring activities!

#### Cubic and Quadratic Sequence generator. Quadratic solver

This can be used to generate quadratic and cubic sequences and uses difference table to show the step by step solution. It also has a quadratic solver which will give the nth term of a sequence. On the right hand side there are cells that can be copied and pasted to use the sequence.

#### 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!

#### 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.

#### 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.

#### 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!

#### 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!

#### 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!

#### 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!

#### 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: &gt; Proof &gt; Logarithms &gt; Integration &gt; Differenciation &amp; differenciation from first principles &gt; Sequences and series &gt; Sectors &gt; Trigonometry and graphs &gt; Trig identities &gt; Log and exponential graphs &gt; Translations &gt; Significant figures &gt; 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.

#### 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.

#### Colouring by Annuities - Obama, solve for PV, FV, & Interest (30 sheet mosaic)

Highly Engaging!! Each worksheet represents a small section of the big picture! The end result will look spectacular hanging up in your classroom :) INVOLVED: Each worksheet has 3 questions each of: • Find future value • Find present value • Determine total interest earned • Determine total interest paid It's simple! 1. Calculate the answers. 2. Colour the squares. 3. Cut out your section. 4. Combine with the class! Students complete the problems to decode the colour key, then use it to colour their section of Obama mosaic. High school kids like colouring too! Their curiosity and desire to see the big picture come together will keep them working and helping each other! INCLUDED (.pdf and .docx files): -&gt;Complete class set of 30 worksheets, that combine to create the Obama mosaic. Sheets contain the answers scrambled so students can monitor their own understanding. -&gt;Complete answer keys all worksheets. -&gt; Colour solution and coordinate guide for the mosaic. -&gt;Each worksheet contains 12 problems. Ontario Curriculum: This is great for MAP4C, or MCR3U. All my &quot;Colouring by...&quot; math mosaics use the standard colours found in a Crayola 24 pack of coloured pencils. For best results, use the exact colour name match. Maybe a class set of pencil crayons would be a fun departmental purchase? :) I'd love to hear from you! Leave some feedback through Tes about how this went in your classroom, or email me at calfordmath@live.ca

#### Algebra: Sequences Bundle (6 Lessons) - perfect for GCSE / IGCSE)

All lessons come with a starter, learning objectives, key words, plenty of teaching slides/examples, questions or worksheets with answers and plenary. This is part of a bigger bundle on sequences / series, that can be purchased with additional A-Level lessons. The bundle contains the following: 1. Introduction to Linear Sequences 2. Linear Sequences in Diagrams 3. Quadratic Sequences 4. Other Sequences and Problems 5. Fibonacci Sequence, Golden Ratio and Spiral (one of the reasons I become passionate about mathematics!!) 6. Arithmetic Sequences or Series 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!

#### Algebra: Sequences 7 - Sum of Arithmetic Series (A-level)

This lesson builds on the previous lesson introducing arithmetic sequences and series. This lesson focuses on where and how to use the formula for finding the sum of a series. It does look at some more challenging questions and when to use one formula as opposed to another, i.e. looking at efficiency. The lesson comes with a starter, learning objectives, keywords, plenty of teaching slides/examples, questions with answers and 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!

#### Algebra: Sequences 6 - Arithmetic Sequences or Series (+ worksheet)

This is an excellent first lesson introducing arithmetic sequences and series and is now included material for the new GCSE syllabus as well as for C1 at A-Level. This is an essential lesson to build understanding and become familiar with notation before moving onto more challenging A-Level content. The lesson comes with a starter, learning objectives, keywords, plenty of teaching slides/examples, questions with answers and 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!

#### Algebra: Sequences 5 - Fibonacci Sequence, Golden Number, Ratio & Golden Spiral (2 lessons)

This lesson/revelation was one of the cornerstones of why I became passionate about mathematics. I have used various slides from this PowerPoint to do maths assemblies as well. Pupils love this lesson and some of the slides are mind-blowing. Love it !!! This builds on pupils understanding of sequences and does lend well to looking at series (different ways of writing rules or describing sequences). What I am saying is this lesson is brilliant in terms of adding the WOW factor as well as leading nicely into part 6 of the bundle/ series on sequences. The lesson comes with a starter, learning objectives, keywords, plenty of teaching slides/examples, questions with answers and 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!

#### Algebra: Sequences 4 - Cubic, Exponential and Other Sequences / Problems

This is the fourth lesson in the series. It looks at other sequences that are not linear or quadratic. These are becoming increasingly popular in GCSE exams as it stretches pupils understanding and not just their ability to pass exams. It also includes other sequences problems that don't neatly fit into the previous lessons. This is one of my favourite lessons to teach because there are so many different types of sequences and it does make you think. The lesson comes with a starter, learning objectives, keywords, plenty of teaching slides/examples, questions with answers and 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!

#### A level maths - 1st year

Selection of presentations that cover most of the 1st year pure maths in the A level maths course

#### Algebra: Sequences 3 - Quadratic Sequences (+ worksheet)

This lesson is on quadratic sequences and goes through two methods to solve quadratic sequences. One method builds on their understanding of linear sequences as well, which is helpful. The other builds on their understanding of substitution and simultaneous equations. I teach both methods even though the majority of pupils will adopt the first method. I have found that giving pupils more understanding and methods and this does pay dividends in the long run. The lesson comes with a starter, learning objectives, keywords, plenty of teaching slides/examples, questions with answers and 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!

#### Algebra: Sequences 2 - Linear Sequences in Diagrams / Patterns (+ resources)

This lesson builds on an excellent first lesson on linear sequences to build in linear sequences within patterns/diagrams and more real-life contexts around linear sequences. The goal here is to get pupils to build on their understanding from lesson one and to become more familiar with exam style questions. The lesson comes with a starter, learning objectives, keywords, plenty of teaching slides/examples, questions with answers and 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!

#### Algebra: Sequences 1 - Introduction to Linear Sequences (+ resources)

This is an excellent first lesson introducing linear sequences. Starting off with looking at the term to term rule and then quickly building into looking at the position to term rule or the nth term rule. This is a tricky topic for pupils and so there are quite a few teaching slides/ examples explaining what it is and why it is important. It goes onto looking at using the rule to work out another term further along in the sequence. The lesson comes with a starter, learning objectives, keywords, plenty of teaching slides/examples, questions with answers and plenary. This is part of a bigger bundle of sequences/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!

#### Further Maths for Engineers

Powerpoints that cover the BTEC further maths for engineers unit

#### GCSE Mathematics Revision Bundle

A collection of our resources that can be used for revision with classes, small groups or individually. Includes matching pairs memory games, worksheets, assessment ladders. Topics covered include quadratics, completing the square, sequences, rounding, surds, prime factors, simultaneous equations.

#### Core 1 Arithmetic Sequences Foldable

Foldables can be used as a revision or summary exercise at the end of a topic. As the answers are hidden pupils can use these to ‘test’ themselves or ask someone else such as a parent to test them. They also make a great addition to any class book, making it an interactive notebook. This foldable requires pupils to recall the formulae needed for the Core 1 Arithmetic Sequences of A Level Mathematics. It comes complete with solutions and instructions. Thank you for looking, we hope the NumberLoving resources are useful to colleagues. Get in touch via @numberloving or NewPriceSale

#### BUNDLE Spot the Mistakes

"Spot the mistake" activity can be used to assess pupil's understanding of a topic. The aim is for pupils find the mistakes in an already the matched up jigsaw and they should then correct those mistakes. Each resource comes complete with instructions and solutions. Check out numberloving.com for further ideas!

#### A Level Mathematics Matching Pairs Bundle

A collection of matching pairs for Higher GCSE or A Level. Can be used as whole class starters or revision exercise

#### Sequences and Series Bundle

Starter/revision activities in the form of matching pairs, plus revision notes, practice questions and examination style questions, plus a sequences ladder

#### Matching Pairs Geometric Sequences

An excellent starter or revision matching pairs activity (built in PowerPoint) to use with the whole class. Students need to match the sequence with the nth term given.

#### Matching Pairs - Arithmetic Sequences

A matching pairs activity (built in PowerPoint) to be used as great whole class starter activity or revision exercise.

#### Mathematical Ambiguity & topic relationships

A presentation exploring ambiguity in the operations and objects of Maths and a set of concept maps that connect various topics of GCSE and IB/A level syllabuses. Quadratic, Log, Trigonometric and Functions are mapped in detail. Useful crossover introductory material that can provide some meaning and context in helping to make some connections between otherwise disparate fields. The presentation develops five areas in which the terms and processes of mathematics are inherently ambiguous: from the irrationals and infinity, the variable as a receptacle, the filling of the number line, forming operations with numbers to the notion of equality and sameness. That is from a number being both a noun (a fractional object) and a verb (process of adding a convergent series of rationals). That algebraic formulations using a variable x, allow for x in one sense to have any value ( before the equation is solved) to a specific value when it has been solved. As five separate chapters each one can serve as nonstandard provocative discussion/starter/plenary material .

#### Recursive and Arithmetic Series (AS-Level: C1)

C1 maths SCAFFOLDED question on sketching graphs. Students complete the question step-by-step - use the link below to try it! Use the link: www.markit.education/dev/?id=41#direct_demo Benefits: - Step-by-step process through question - Tests misconceptions - Students can go through the question at their own pace How to use it: Can be used as a starter in class or for students to do individually on their phones/tablets OR set a whole class exercise using www.markit.education

#### Summation/Sigma Notation – Math puzzle

Summation/Sigma Notation – Math puzzle I’ve included two different sizes of the same puzzle. The smaller size is only two pages and it great if you are going to print of individual copies for students to practice with in class or at home. The larger size requires 8 pieces of paper and quite a bit of space to solve – fun for centers and group work! Cut out the puzzle pieces (or even better if your students do it themselves) and students are to solve the puzzle so that it matches the solution provided. If your students are going to cut out the pieces then no prep is needed – the puzzle is not in order. I’ve been using these puzzles for years with great success! I recommend printing the puzzles on colourful paper and laminating them. This way you only have to cut them out once and they will last year after year! What is included in this product? • The solution to the puzzle – Pages 3 – 4 • The normal size puzzle – Pages 5 – 6 • The large size puzzle – Pages 7 – 14 • Expressions and Answers in a table format for easy grading or you can cut these out to play a matching game – Pages 15 – 16 My students love doing these types of puzzles. This product can also be used as a perfect revision of the school work to do at home. All answers can be easily checked thanks to the included solution to the puzzle or questions and answers shown in a table. Thank you for checking my resources.

#### Human Cost of Fraud - Mathematics Activity

Maths Activity for 7 – 14 year olds The human cost looks at the human as well and the financial impact of fraud and discusses a few common scams and what to be aware of. Read more at www.outofyourhands.com/online-fraud/mathematics/