# Liam Franz's Shop

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I'm experienced Teacher of Mathematics based in the South West. Currently I am a Key Stage 5 Mathematics Co-ordinator at a school in Cornwall, prior to this role I was Key Stage 4 Mathematics Co-ordinator for three years at a different school.

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I'm experienced Teacher of Mathematics based in the South West. Currently I am a Key Stage 5 Mathematics Co-ordinator at a school in Cornwall, prior to this role I was Key Stage 4 Mathematics Co-ordinator for three years at a different school.

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#### Sharing an amount into a ratio

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A complete collection of resources for a introductory lesson for sharing an amount into a ratio. Differentiated for levels 4 to 6.

#### Introduction to Expanding Double Brackets

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This lesson starts by looking at finding the area of rectangles using algebra and builds up to expanding brackets more formally. Contains a Find Someone Who starter, Smart Board file, find the error worksheet. It references a connect 4 worksheets created by arthompson1987. Check it out here https://www.tes.com/teaching-resource/expanding-double-brackets-grade-c-level-7-6417907

#### Laws of Indices

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Differentiated lesson on recapping and extending students knowledge of the laws of indices. Lesson include differentiated starter on skills of powers and roots. Then 'Parallel' questions where teacher models a question and students answer a similar question on mini-whiteboard to check for understanding on multiplicative, division and bracket laws of indices. Then differentiated questions for students to complete in their books. Then more 'parallel' questions on negative and 1/n laws of indices. Followed by a differentiated Rally Coach activity on laws of indices. Then a differentiated Pad Lock breaker activity. Then some questions to unpick misconceptions for a plenary.

#### MEI AS Core Pure Scheme of Learning

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A Scheme of Learning for MEI AS Further Mathematics (2017 spec) Pure Core content. References to objectives from specification and to references to resources on Integral. For each topic there are the following sections on the Sheme of Learning: Differentiated Objectives from specification (Developing, Securing and Excelling which contains off spec ideas to extend the most able), Prior knowledge, Language and notation, Pedagogical notes, Reasoning opportunities and probing questions, Suggested Activities, Possible Misconceptions, Home Learning Opportunities, Assessment. There are two copies of the file included, one version as a PDF and the other as a MS Word file so you can edit the Scheme of Learning to fit your department’s needs.

#### MEI A Level Maths Textbook Study Guides

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These study guides are designed to plan the independent study of students from the Hodder MEI 4th Edition Year 1 and Year 2 textbooks. They clearly list the objectives for each section in each chapter, along with recommend reading and questions to complete from each exercise. There is space for the students to tick the questions once they have completed them and for their teachers to mark off that they have checked the questions have been completed. These will be particularly helpful if you students are having to work independently from home. They work well printed off as A5 booklets. I personally use them to focus students on the really key questions I think they need to have completed as a minimum from the textbook to ensure they have been exposed to enough variety for the exam. I give students some lesson time to work through these indicated questions, and whilst supporting them check that they are completing the study guide questions and fill in the column on the booklet. I will ask students to complete questions from the exercise as part of their independent study.

#### Spot the Error Chi Squared contingency tables

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This is a spot the error activity on an old A level exam question on Chi Squared contingency tables. The errors are based on the examiners comments for the question. The resource includes, a question answered with errors for students to correct, a correct workings, mark scheme and examiner comments for the question.

#### Complex Numbers Spot the Error

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This activity contains a spot the errors activity based on a past paper exam question. The errors are based on the examiners comments for the question. Mark scheme and fully correct worked solution is also included.

#### Dividing Fractions RallyCoach

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RallyCoach on dividing fractions, starting with proper fractions moving onto with whole numbers and then mixed numbers. Pair cooperative learning strategy, students label themselves A and B and then take it in turns to coach each other as they complete their side of the worksheet.

#### Goal Free Problems AS/A Level Maths

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A set of eight Goal Free Problems focusing on diagrams of graphs. Each sheet has different amounts of information provided to help prepare students for the tricky questions on the new A Level papers (across all of the exam boards).

#### A Level Maths Intervention Sheets (Bundle 1)

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A collection of three intervention sheets for A Level Mathematics. The sheets are made up of practicing a key concept though a ‘I do’, ‘we do’, ‘you do’ model and then a page of skills questions which interleaves. The key concepts on these sheets are Implicit differentiation, Functions and Rates of Change.

#### Priority of operations

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A complete lesson on introducing or recaping the priority of operations (BIDMAS or BODMAS or PEDMAS). Starter: Recap of multiplication skills Activity 1: Discuss an example in context, leading into discussing priority of operations Activity 2: Parallel Examples. Teacher models how to answer a BIDMAS calculation and the students answer a ‘parallel’ question on mini-whiteboards. This questions build up in difficulty. Activity 3: Match equivalent calculations Activity 4: True or False - decide which calculations are correct and which are incorrect. Class discussion hooked around a ‘Chest of Truth’ activity. Activity 5: Plenary, students answer WILF questions in their exerise books or on mini-whiteboards to reflect on their progress during this lesson.

#### Find someone who... substitution into functions

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This activity builds on students prior knowledge of substituting and leads into using function notation. I’ve used this activity as a starter with able year 10 classes for a lesson introducing function notation. The students were able to work out what the function notation must be on about from the sheet, which I then went through more formally. ‘Find someone who’ is a kagan structure.

#### MEI Statistics Minor Textbook Study Guide

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This textbook study guide supports students in completely a minimum number of questions from each exercise and also doubles up as a Personalised Learning Checklist. Includes references to the exam board specification. This study guide is for the new MEI A Level Further Maths (2017) Statistics Minor module.

#### Mock Personalised Revision Checklists

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Using marks from mock and other assessments you can use this spreadsheet and word document to create personalised revision checklists or feedback sheets. These would be great to use with year 11 students after mocks and information to provide to parents help them guide their young person. This makes mock data far more formative for students and parents.

#### New A Level Maths Homework: Quadratic Functions

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This homework worksheet designed for MEI A Level Maths Year 1 (AS Level Maths) but will be appropriate for other exam boards. The activity contains several questions on the Quadratic Functions chapter as well as some questions on GCSE knowledge (which was assessed in the Bridging the Gap Project) to help develop recall. There is also a quick WWW EBI feedback box on the worksheet, containing learning outcomes of the chapter, to speed up feedback for the teacher! Answers included.

#### A Level Mathematics Year 1 Bridging the Gap Test

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Assessment and answers to assess Year 12 students retention of GCSE knowledge after the summer holidays. The questions are all OCR GCSE Past Paper Questions and focus on key number and algebra skills that A level students often are fluent enough with. I have uploaded an Assessment Tracker for this test here https://www.tes.com/teaching-resource/bridging-the-gap-formative-assessment-tracker-for-a-level-mathematics-year-1-11949408 The Assessment Tracker also generates a personalised Student Feedback Sheet.

#### MEI Year 1 Coordinate Geometry Student Feedback/ Reflections sheet

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This resource scaffolds students in reflecting on their Coordinate Geometry Chapter Test. This reflection sheet is designed to go with the Integral Chapter Test on Year 1 Coordinate Geometry for MEI (2017 A Level spec). Next to each question there is the learning outcome which means that this effectively a Personalised Learning Checklist that students can refer back to when revising for their AS/A Level exams. How I use the activity. Students are returned their marked chapter tests. (Usually just having ticks and dots where they need to make corrections). Students then identify which questions went well and not so well by completing the RAG column on the sheet. Then as a class they go around and correct their errors. On the sheet students fill in the box for Who helped them (so I can keep a track of who is helping who) and then summarise their misconception or what they didn’t remember in the ‘Next time I need to remember’ column. If there are any questions that the entire class went wrong on I will go through those on the board. This frees me up to go around and provide additional support for key students, as well as providing opportunities for the students to provide peer feedback and support. The aim is that by the end of the lesson every student has corrected their errors.

#### OCR Paper 2/5 Non-Calculator 2018 revision list for year 11

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These two revision lists go through the topics that are likely to appear on the non-calculator papers for OCR GCSE Maths J560 in June 2018. I’ve based these topics on what has come up on the past two papers and what appeared on Paper 1/4 last week. It also contains MathsWatch video references to support students in their revision.

#### New A Level Maths Homework: Problem Solving

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This homework worksheet designed for MEI A Level Maths Year 1 (AS Level Maths) but will be appropriate for other exam boards. The activity contains several questions on the Problem Solving chapter as well as some questions on GCSE knowledge to help develop recall. There is also a quick WWW EBI feedback box on the worksheet, containing learning outcomes of the chapter, to speed up feedback for the teacher!

#### OCR Maths GCSE Revision List for Papers 2 and 5.

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Here are a list of topics that haven't come up on the first papers for OCR J560 Maths GCSE Summer 2017 exam and that are likely to appear on the last two papers.