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Mr Cullen's Maths Shop

Average Rating4.59
(based on 26 reviews)

I am an experienced teacher dedicated to creating fantastic resources that engage pupils. My resources give teachers examples that they can model with pupils before giving pupils the chance to practice plenty of example questions. My pupils love answering questions using the catchphrase activity - I have found it really keeps them on task and engaged (especially if there is a small prize for whoever answers the catchphrase correct!)

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I am an experienced teacher dedicated to creating fantastic resources that engage pupils. My resources give teachers examples that they can model with pupils before giving pupils the chance to practice plenty of example questions. My pupils love answering questions using the catchphrase activity - I have found it really keeps them on task and engaged (especially if there is a small prize for whoever answers the catchphrase correct!)
Finding the Equation of a Tangent to a Circle - GCSE Higher Tier (new 1-9 GCSE style) resource
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Finding the Equation of a Tangent to a Circle - GCSE Higher Tier (new 1-9 GCSE style) resource

(1)
A resource that is ideal if you are teaching pupils how to find the tangent to a circle at a given co-ordinate. This now appears on the new higher tier 1-9 GCSE. Included is the following: Re-cap on finding the radius of a circle from its equation Re-cap on understanding that two lines are perpendicular when gradients multiply to -1 Two examples on powerpoint & word document (see attached) that allow the teacher to model how to find the equation of a tangent to a circle. It is scaffolded into three steps: Step 1: Find the gradient of the radius to a given point on the circumference, Step 2: Find the gradient of a tangent and Step 3: Finding the equation of a tangent. One page (7 different questions) requiring pupils to find the equation of tangents. Q6 and Q7 provide extension opportunities. Plenary question - AQA exam question.
Forming and Solving Equations when given SIDE LENGTHS and AREA of TWO SHAPES in ALGEBRA
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Forming and Solving Equations when given SIDE LENGTHS and AREA of TWO SHAPES in ALGEBRA

(1)
This resource is perfect for teaching problem solving style algebra questions (e.g. suited to the new style 1-9 GCSE questions). It is split into two sections, both involve forming equations with 'x' on both sides and solving. Section 1: Students are given two side lengths in algebra (e.g. opposite sides of a rectangle) that are equal. Students then need to form and solve an equation to find the value of 'x'. Section 2: Students are given a rectangle and a triangle. Students need to use the algebraic side lengths to find the area (e.g. side lengths of 2x + 4 and 3 would create an area of 6x + 12) and then need to form and solve an equations to find the value of 'x'. Extension: Students to substitute their values to find the area. This is also a ueful check to see whether they have the correct answer. Answers included in the notes section of the slide.
Standard Form - Converting between ordinary numbers and standard form (including CATCHPHRASE)
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Standard Form - Converting between ordinary numbers and standard form (including CATCHPHRASE)

(1)
Ideal resource for teaching pupils converting to and from ordinary numbers and standard form. There are four sections to the resource - each has some questions for the teacher to model with pupils and a slide with practice questions (some with extension style questions). Section 1: Converting big numbers (e.g. 340000) to standard form + Practice Questions Section 2: Converting small numbers (e.g. 0.0005) to standard form + Practice Questions There is also a catchphrase activity with 25 mixed questions covering sections 1 and 2 - clicking on a square reveals part of a picture. Great for pupil engagement, answer: good for nothing. Section 3: Converting standard form to ordinary numbers (big numbers) + Practice Questions Section 4: Converting standard form to ordinary numbers (small numbers) + Practice Questions
Composite functions and Inverse functions (new GCSE grade 9-1 content) - 3 LESSONS!
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Composite functions and Inverse functions (new GCSE grade 9-1 content) - 3 LESSONS!

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Ideal resource for teaching the new GCSE (Grade 9-1) topic of composite functions and inverse functions. There is enough material for 2 to 3 lessons. Split into four sections. Each has examples that the teacher can model, questions pupils can practice (+ answers!). Section 1: Substituting values into functions, e.g. f(-1) when f(x) = 2x - 5 Substituting values into composite functions e.g. fg(2) when f(x) = 2x + 1 and g(x) = 3x - 1 Section 2: Using composite functions, e.g. Work out fg(x) when f(x) = x² + 1 and g(x) = x - 3 Section 3: Solving functions and composite functions, e.g. Solve f(x) = 0 when f(x) = 2x - 7 e.g. Solve f(x) = g(x) when f(x) = x - 5 and g(x) = x² - 2 Section 4 : Using inverse functions, e.g. f¯¹(x) when f(x) = 2x - 1 or f¯¹(x) when f(x) = x/x + 3 Plenty of material for 2 to 3 lessons across these topics -answers to questions included.
Finding the mean (WITH NEGATIVES) & CATCHPHRASE ACTIVITY
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Finding the mean (WITH NEGATIVES) & CATCHPHRASE ACTIVITY

(0)
Perfect resource for a lower ability group (or Years 7-8). Pupils are asked to find the mean from a list of numbers. All the questions do not require calculators and help build pupils mental addition / subtraction skills. The presentation can be split into three sections. Section 1: No negatives - example for the teacher to demonstrate and then eight practice questions. Section 2: With negatives - examples for the teacher to demonstrate and then eight practice questions. Section 3: A catchphrase plenary with mixed questions on finding the mean (with/without negatives). Answer to the catchphrase is 'First Aid'.
Problem Solving with Addition and Subtraction (GCSE stlyle questions)
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Problem Solving with Addition and Subtraction (GCSE stlyle questions)

(1)
Ideal resource for teaching pupils how to interpret menu prices (etc) and solve worded problems. Pupils develop their addition and subtraction skills. Resource Includes: Model example with three questions. Pupils need to add prices and work out how much change will be left over. Six practice questions (on the A4 worksheet) which allow pupils to practice these skills.
Finding the median (including decimals & harder examples) and CATCHPHRASE ACTIVITY
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Finding the median (including decimals & harder examples) and CATCHPHRASE ACTIVITY

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Perfect resource for teaching pupils how to find the median from a set of numbers. It contains three examples that the teacher can use to model with pupils. Example 1 is straight forward. Example 2 has a decimal answer. Example 3 requires pupils to find the middle of two numbers that are not next to each other e.g. 4 and 8. There is then a slide with 10 questions (mixture of above) for pupils to practice. Finally, there is a catchphrase activity - 9 further questions that give pupils the chance to reveal part of a picture. Fully animated. Answer is 'Hole in One'. Great as a plenery or starter activity.
Equation of a Circle - Examples and Questions
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Equation of a Circle - Examples and Questions

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This resource is ideal for teaching pupils about the equation of a circle. It includes examples to work through on: Finding the radius from the equation of a circle (e.g. find radius of x² + y² = 16) Drawing a circle from its equation Finding the equation of a circle when drawn onto an axis Estimate solutions (from graphing) where a circle crosses a straight line It then has one-slide of questions which will allow pupils to practice the above topics. Perfect for higher tier pupils of different abilities.
Pythagoras Trigonometry - TWO STEP PROBLEM SOLVING
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Pythagoras Trigonometry - TWO STEP PROBLEM SOLVING

(1)
Perfect resource for higher ability pupils to practice both Pythagoras and Trigonometry problems. All questions require pupils to use a combination of both Pythagoras and Trigonometry in each question. There are two worked examples and 9 practice questions (all with answers!). Finding side lengths and finding angles included.
Trigonometry - deriving exact values for cos, sin and tan 30/45/60 & problem solving questions
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Trigonometry - deriving exact values for cos, sin and tan 30/45/60 & problem solving questions

(1)
Perfect resource for showing pupils how to derive exact values for sin, cos and tan 30/45/60 using right angled triangles. Fully animated to step through the process for each (using the formula triangles SOH, CAH, TOA). In addition, there are some extension problem solving questions that require pupils to find side lengths in sin 30 and cos 60 triangles. These are the easier versions of this style of problem that do not include surds. There are 2 questions to model to pupils and 4 practice questions. Practice questions have answers included.
Expanding Triple Brackets (including Problem Solving GCSE questions)
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Expanding Triple Brackets (including Problem Solving GCSE questions)

(2)
Perfect resource for teaching pupils how to expand triple brackets - new grade 9-1 GCSE content. Starter: Expanding double brackets x2 questions. The resource includes 3 (fully animated) practice questions. I personally use grid method to avoid common mistakes made by pupils. There are then 9 practice questions with answers. DIFFERENTIATED to stretch the most able pupils. 3 questions require pupils to form expressions for the volume of a cuboid, triangular prism and cube. This is a CATCHPHRASE activity. Pupils answer questions to reveal a picture - 'Hole in One'.
Error Intervals & Bounds (new Foundation GCSE 9-1 content!)
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Error Intervals & Bounds (new Foundation GCSE 9-1 content!)

(2)
Perfect resource for teaching Foundation pupils error intervals and bounds. This is new GCSE content and has been seen on June 2017 Edexcel and AQA examination papers (4 marks on offer). The resource is split into two sections. Section 1 - Pupils state the error intervals. 5 model questions (with animated answers) and a further 20 questions, including a CATCHPHRASE activity. Answer: Half Baked. Section 2 - Pupils solve problems using error intervals (e.g. minimum & maximum perimeter). 4 questions that the teacher can use to model and a further 8 questions on a worksheet to practice.
GCSE Maths - Foundation AQA starter questions (over 250!) Grade 1 to Grade 5.
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GCSE Maths - Foundation AQA starter questions (over 250!) Grade 1 to Grade 5.

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This resource is ideal for anyone teaching foundation GCSE maths (AQA). It covers topics from grades 1 to 5 and is specifically tailored to the new style of GCSE questions. The questions are deliberately similar to those that have been seen on the specimin and practice paper sets released by AQA to date. They cover a range of both calculator and non calculator topics. There are 32 slides with between 5 to 11 questions on each slide. Over 250 questions in total. These can be used for revision or as starter activities. They are tried and tested within my department with great success. They include new grade 5 topics now included in the foundation AQA GCSE (e.g. simultaneous equations, trigonometry, vector calculations, error intervals ...). The image is an example of just one of the slides.