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5. Numerical methods

#### Set Theory PowerPoint and Handouts

An extensive introduction to Set Theory, generally aimed at Computer Science A Level students, A Level Mathematicians or first year Undergraduate students in either Computer Science or Mathematics. It is intended to cover two lessons, extra examples and discussion may be required if aiming at a lower ability. Includes: A simple starter to encourage discussion on how to categorise numbers, as well as how many there may be e.g. how many natural numbers are there? A handout featuring all definitions given in the PowerPoint A PowerPoint covering set notation, intersections, unions, set comprehension and set compression. More resources can be added upon request. Please do give feedback/suggestions!

#### Maths A level revision questions

This bundle includes question/answer files aimed at revising the topics from A level maths, and especially the Core 3 and Core 4 topics.

#### Extension - Investigating Infinity

Nine provocative questions to get pupils thinking about infinity. Each one has footnotes on the Powerpoint to guide towards the answer. What are Zeno’s paradoxes? Is 0.9999999999999999999… the same as 1? What is the smallest decimal number more than 3? What is infinity plus one? What is Hilbert’s Hotel? If something is true for the first million numbers, is it true for all the numbers? What is 1 – 1 + 1 – 1 + 1 – 1 … equal to? Are some infinities bigger than others? Are there more: numbers, fractions, or decimals?

#### Geometry: Radians 2 - Arcs, Sectors and Segments (+ lots of resources)

This whole lesson builds on the introduction to the topic of radians. It looks at where the different formulas come from in radians and how to use them with some excellent examples and teaching slides. It comes also with a great starter, plenary, lesson objectives and keywords. I have also included some exam questions with answers, a handout of useful angles to remember and a help sheet on mark scheme jargon to help build pupils understanding of exam papers. I recommend buying this with the first lesson as they fit together to teach pupils everything needed for AS level maths. 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 - 2nd year

Selection of presentations that cover most of the 2nd year pure maths in the A level maths course

#### A level maths - 1st year

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

#### Physics A-level Revision Matching Pairs Games Bundle

Ten interactive competitive games on Physics A-level topics. These will make a very welcome break from other less thrilling means of revision. The Matching Pairs Game is a fun and competitive interactive whiteboard game in which two teams take it in turns to match tiles. The game automatically scores and has a built in timer in the event of a draw. Students really enjoy the competitiveness. This game won a Microsoft innovation award. An editor is separately available to make your own games; https://www.tes.com/teaching-resource/matching-pairs-interactive-game-creator-11063058 bennyjohn5@hotmail.com

#### 🛍 Trapezium Rule 🛍 Interactive Activity including Effectiveness Evaluation

An interactive GeoGebra file for developing an understanding of the Trapezium Rule. Also included is a PowerPoint presentation demonstrating the development of the activity and suggestions for improvement. 🌟🌟🌟 . . 😊 . . PLEASE RATE THIS RESOURCE . . 😊 . . 🌟🌟🌟

#### Iterative Formulae

This lesson teachers students about the iterative formula. The ability to identify why there is a root between two points. The ability to generate an iterative formula. The presentation also demonstrates that not all iterative formulae work. The lesson follows with a worksheet for the students to attempt either in class or as a piece of homework. Answers are included.

#### Areas under graphs

Suitable for Higher Tier GCSE Mathematics or Further Mathematics, this resource introduces students to a small variety of methods for working out areas underneath graphs. Starting with the counting of squares method, it introduces the Trapezium Rule and others. A chart at the end allows students to record the different estimates they have in order to compare methods, and it concludes with a few thoughts about real-world applications and the basis for integral calculus.

#### A level bundle pure & statistics

View in slideshow from beginning.

#### Interactive Games and Attention Grabbing Starters

In this collection I have tried to gather attention grabbing resources. Whether you are teaching cheeky monkeys or aloof A-level classes, these are real winners. The "Matching Pairs Interactive Game" and "Two Team IWB Quiz Game" use the interactive whiteboard in a creative and engaging way.

#### Trapezium Rule

A presentation shows learners how to use the trapezium rule. SMART Notebook Express presentations can be used for free by using SMART online or by downloading SMART software, also free, I use it because it allows a more interactive presentation than a powerpoint. Just search 'SMART Notebook Express' and try it with my free SMART resource.

#### Physics / Maths Logarithms and Exponential formulae

This set of four lessons goes over the exponential formula used in Physics for radioactive decay as well as teaching the basic rules of logs and why natural logs are used.

#### A-Level Physics / Maths - Logarithms rules and algebra (Lesson plan and PowerPoint)

This is the second of three lessons that introduce the idea of logarithms The PowerPoint takes students through the difficulties in solving algebra with unknown powers and cumulative interest. The general simple rules of addition and subtraction of logarithms is discussed. This is part of the essential mathematics skills needed for A-Level Physics

#### Dividing a line in a given ratio plenary

Students divide a line in a given ratio and eliminate 8 of the 9 answers until they have one remaining. Used as a plenary to this topic.

#### Factor theorem

A powerpoint explaining the use of the factor theorem. this was designed to be used with the bridging course &quot;Level 2 further maths&quot;, but it will be applicable to other courses.

#### Year 4/KS2 Maths Investigation - Place Value and Ascending Order

This is a maths investigation for KS2. They will need to find the smallest number they can make with 4 digits, and then the biggest number. Then all of the numbers in between in ascending order. They will need to be able to order and compare numbers, know their place value and then work systematically to find all of the combinations of numbers. This has worked well with a Year 4 class I tried it on. Includes recording sheet and challenge cards to ensure mastery.

#### Decimal Search

A lesson showing students how to find the solution to an algebraic expression through decimal search. The lesson also includes two questions for students to attempt.

#### MAXBOX: Maths Investigation on Volume, Area, IT (Excel) Optional

An independent investigation into how the volume of an A4 piece of paper changes as you remove a square of length x from each side. Excel could be used to graph the relationship between Volume and x. I used for Year 9, could use with KS3/4 with excel or with KS5 differentiating the equation relating V and x to find the maxima.

#### index laws higher level7+ work

will help the year ten with the new sylebus

#### Warm The Brain: Fun Logical Problem Solving Starters

Six splendid puzzles to display on your interactive whiteboard. These make great lesson starters and are an essential part of a teacher's toolkit. You probably already know the River Crossing puzzle. The puzzles are animated to make them very attention grabbing. No printing is needed; all the puzzles should be solvable without the need to write anything down. Very engaging and fun.

#### Percent Error

Covers accepted value, experimental value, error, and percent error.

#### Measurement Uncertainty

Describes the idea of uncertainty in measurements and gives an example.

#### Uncertainty in Multiplication and Division

Describes the steps to take when dealing with issues of multiplying and dividing values with differing numbers of significant figures.

#### Uncertainty in Addition and Subtraction

This concept describes the steps to take when dealing with issues of adding and subtracting values with differing numbers of significant figures.