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David Benjamin
https://www.amazon.co.uk/David-Benjamin/e/B00LK06SS2/ref=ntt_dp_epwbk_0
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Resources published 107 |
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Resources by 'David Benjamin'
3D representations ... and beyond!
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Demonstrate how to draw three dimensional images both on plain
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KS3 | Published: 27/09/2012 | From the resource collection(s): Geometry and measure | Solids and nets – 3D representations
A curious sequence
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This nifty little investigation ties together your work on sequences
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A mechanics investigation
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Designed for A2 students - The investigation makes use of tr
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KS5 | Mechanics | Published: 11/02/2019 | From the resource collection(s): Schemes | Forces | Kinematics in 2 dimensions
A-level extended question on calculus and trigonometry
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An extended problem-solving type question suitable for upper
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KS5 | Published: 30/07/2018 | From the resource collection(s): Calculus | Differentiation | Integration | Trigonometry – trigonometric identities
A-level functions revision
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Revision worksheet on functions, covering the range, domain,
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KS5 | Published: 11/03/2019 | From the resource collection(s): Calculus | Core | Schemes | Functions | Revision
A2 revision - an extended question.
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An extended and challenging A' Level question exploring various
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KS5 | Published: 16/08/2018 | From the resource collection(s): Algebra | Calculus | Binomial theorem | Differentiation | Logarithms | Partial fractions
Algebra and order of operations
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A lesson starter to introduce algebra. The resource can be adapted
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An introduction to perimeter and area
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Ideal for lower ability groups, this PowerPoint uses a squared
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KS3 | Published: 15/12/2011 | From the resource collection(s): Geometry and measure | Area and perimeter – polygons
Ancient Egyptian multiplication – How to
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Also known as Russian Peasant multiplication – multiply two numbers
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Area of 2D shapes review
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This resource is designed to help students develop problem-solving
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KS3 KS4 | Published: 20/03/2019 | From the resource collection(s): Geometry and measure | Problem solving | Area and circumference | Area and perimeter – compound shapes | Area and perimeter – polygons | Revision
Areas of 2D shapes
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An interactive introduction to the areas of parallelograms, triangles
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KS3 | Published: 30/03/2012 | From the resource collection(s): Geometry and measure | Area and perimeter – polygons
Areas of polygons - by an algorithm
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The resource is suitable as enrichment in KS3 or in KS4. It
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KS3 KS4 | Published: 03/07/2019 | From the resource collection(s): Geometry and measure | Area and perimeter – polygons | Cartesian coordinates | Rich tasks
Arithmetic of surds
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Practise manipulating and comparing surds with these 12 questions.
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Bearings on maps
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Three files that can be used separately or in conjunction. The
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KS4 | Published: 27/04/2012 | From the resource collection(s): Geometry and measure | Angles – three figure bearings
Binary, denary and hexadecimal numbers
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A comprehensive PowerPoint exploring bases 2 and 16 in a computing
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Calculus on the calculator
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Linking the functions on the calculator to useful calculus. Copy
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(3)
Challenging sequences
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Some challenging questions based on some famous sequences. Could
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KS4 KS5 | Published: 24/09/2018 | From the resource collection(s): Algebra | Number | Sequences - special types | Sequences – nth term | Sequences – term to term
Checking integer properties
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A set of seven calculator based activities for students to test
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Compass bearings
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An activity making use of the markings on a compass, types of
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KS3 KS4 | Published: 08/04/2019 | From the resource collection(s): Geometry and measure | Skills | Angles – three figure bearings | Constructions
Complete the receipt
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Use simple percentages such as 10% and 50% to find more complicated
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KS3 | Published: 15/12/2011 | From the resource collection(s): Number | Percentages – simple percentages
Consecutive natural numbers
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An investigation into which numbers can be written as the sum
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KS3 | Published: 23/12/2015 | From the resource collection(s): Number | Rich tasks | Types of numbers
Coordinate geometry - straight lines
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A logic puzzle that consolidates most topics in C1 coordinate
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Creating a mathematical clock
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Create a clock face using mathematical expressions in place of
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Developing your own method.
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A level core revision. No hints are given and so students need
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Dice theory
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A selection of four interactive activities designed to compare
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KS3 KS4 | Published: 11/05/2012 | From the resource collection(s): Probability | Experimental probability
Differentiation for AS and A2 mathematics
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A useful summary of important derivatives and differentiation
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Egyptian fractions
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A wonderfully different way to practise fraction addition. Learn
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KS3 | Published: 20/04/2012 | From the resource collection(s): Number | Fractions – fraction calculations
Estimating pi by substitution – a calculator/spreadsheet exercise
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This resource introduces students to the Gauss and Legendre estimation
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KS4 | Published: 23/05/2014 | From the resource collection(s): Geometry and measure | Number | Rich tasks
Estimating pi – scientific calculator practice
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A historical look at approximations of pi for students to extend
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Estimating π lesson starter
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Using geometry and trigonometry to find an estimate for π. Introducing
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KS4 | Published: 15/10/2018 | From the resource collection(s): Geometry and measure | Number | Area and perimeter – polygons | Circles
Four probability discussions
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Some useful interactive activities to add to your files! Practise
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KS3 | Published: 23/03/2012 | From the resource collection(s): Probability | Theoretical probability
Fractions, decimals and percentages - which is the best one to use?
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This exercise is designed to help students think about the best
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KS3 KS4 | Published: 28/01/2019 | From the resource collection(s): Number | Decimals | Fractions – fraction calculations | Fractions/decimals/percentages | Percentages – simple percentages
Function transformations
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Ten slides on transforming curves. Includes translations and
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KS4 KS5 | Published: 19/03/2015 | From the resource collection(s): Algebra | Core | Transformations of functions
Further factor properties
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Take your factor knowledge further by looking at perfect, abundant
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Galileo’s sequence of odd numbers
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Geometric and arithmetic sequences, patterns and equivalent fractions.
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KS3 KS4 | Published: 10/12/2018 | From the resource collection(s): Algebra | Number | Fractions – equivalent, mixed and improper | Number properties – mixed | Rich tasks | Sequences - special types | Types of numbers
GCSE higher revision - Volume and surface area
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volume and surface area problems focusing on use of exact values.
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KS4 | Published: 16/08/2018 | From the resource collection(s): Algebra | Geometry and measure | Number | Volume and surface area
Geometry of a circle
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Detailed Notebook 14 resource on circumference and area of a
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KS4 | Published: 05/12/2014 | From the resource collection(s): Geometry and measure | Area and circumference
Getting to know the quadratic function
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Explore quadratics in detail, with tasks including suggesting
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KS5 | Published: 21/06/2013 | From the resource collection(s): Core | Non-linear graphs – quadratics and cubics
Graph transformation blitz
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Use the graph of the function f(x) to sketch various graphs and
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How many cubes? (Probability lesson ideas)
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This resource is aimed at the Teacher. It is a suggested probability
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How to arrange fractions in ascending order on a grid
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An interesting geometrical approach to ordering fractions.
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KS3 | Published: 09/08/2016 | From the resource collection(s): Number | Fractions – equivalent, mixed and improper
How to change the subject of a formula
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Rearrange a formula using the balancing method. After revising
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Implicit differentiation
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An investigative introduction to implicit differentiation. A
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Integrating trigonometric functions
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An activity designed to help students understand that there is
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Interesting arithmetic posters
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A collection of PowerPoint slides highlighting interesting patterns
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KS3 KS4 | Published: 04/04/2014 | From the resource collection(s): Number properties – mixed | Posters and displays
Introducing prime factor trees
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Explore the work of Goldbach, expressing even numbers as the
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KS4 | Published: 15/12/2011 | From the resource collection(s): Number | Number properties – prime factors
Introduction to equations of lines
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A comprehensive PowerPoint presentation covering gradients,
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KS4 | Published: 07/11/2014 | From the resource collection(s): Algebra | Linear graphs – plotting and sketching
Investigating area using Pick's theorem
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An investigation to calculate the area of irregular polygons
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KS3 | Published: 16/05/2014 | From the resource collection(s): Geometry and measure | Pick's Theorem | Rich tasks
Investigating convergence
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An investigation of the Padovan sequence leading to calculator
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Investigating quadratic equations
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An investigation into the way that a, b and c alter the roots
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KS5 | Published: 21/06/2016 | From the resource collection(s): Algebra | Quadratics – the quadratic equation
Investigating quadratic equations
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An investigation on the roots of quadratic equations. Sums and
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KS5 | Published: 17/09/2018 | From the resource collection(s): Algebra | Complex numbers | Quadratics – solving quadratics | Quadratics – the quadratic equation | Simultaneous equations | Surds
Investigating the circle
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An investigation into the equation of a circle using Pythagoras'
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KS4 KS5 | Published: 30/05/2017 | From the resource collection(s): Algebra | Circles | Pythagoras' theorem | Sketching curves
Iteration and roots of equations
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An investigation into the unpredictable search for the roots
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KS5 | Published: 01/10/2018 | From the resource collection(s): Algebra | Calculus | Geometry and measure | Iteration
Logarithmic and exponential functions
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A useful matching activity on exponentials and logarithms for
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KS5 | Published: 23/07/2018 | From the resource collection(s): Algebra | Exponential growth | Logarithms
Lottery probability
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A series of progressively harder questions based on the National
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KS4 | Published: 15/12/2011 | From the resource collection(s): Probability | Theoretical probability
Making polygons from isosceles triangles
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Explore the properties of certain polygons by creating them out
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KS3 | Published: 15/12/2011 | From the resource collection(s): Geometry and measure | 2D shapes – identifying triangles and special quadrilaterals
Matching quadratic and cubic curves to equations
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This resource has two tasks. The first requires students to re-write
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KS4 KS5 | Published: 02/04/2015 | From the resource collection(s): Algebra | Core | Non-linear graphs – quadratics and cubics
Mathematics and art
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An activity to create the spiral of Theodorus, designed to enhance
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KS3 KS4 | Published: 23/12/2015 | From the resource collection(s): Geometry and measure | Pythagoras' theorem | Types of numbers
Measuring angles compendium
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A selection of interactive activities looking at drawing, measuring
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KS3 | Published: 04/05/2012 | From the resource collection(s): Geometry and measure | Measuring angles
Missing coordinates
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Find the missing coordinates of each polygon. A great consolidation
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KS3 | Published: 20/07/2012 | From the resource collection(s): Geometry and measure | Cartesian coordinates
Missing operators
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Fill in the blanks to complete the calculations, making sure
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KS3 | Published: 15/12/2011 | From the resource collection(s): Number | Order of operations (BIDMAS)
Modelling in mathematics - making a paper helicopter
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This exercise, aimed at year 7, is designed to help students
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KS3 | Published: 08/04/2019 | From the resource collection(s): Problem solving | Skills | Schemes | Maths in context | Rich tasks
Pairs of lines
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Two lesson starters on the equation of a straight line and p
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KS4 KS5 | Published: 16/01/2015 | From the resource collection(s): Algebra | Linear graphs – finding the equation of a line
Paper folding
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Students follow instructions to create 4 polygons,an ellipse
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KS4 | Published: 05/11/2018 | From the resource collection(s): Geometry and measure | Puzzles and games | Rich tasks
Partitions of numbers
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An investigation into the partitions of numbers, P(n), based
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KS4 | Published: 23/04/2019 | From the resource collection(s): Number | Number patterns | Number properties – mixed
Patterns in a Vedic square
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Create a Vedic square from a multiplication table, then choose
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Patterns in Pascal's triangle
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Revise square, triangular, prime and fibonacci numbers, then
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Polygonal Numbers
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An investigation into the numerical and diagramatical patterns
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KS3 | Published: 26/03/2015 | From the resource collection(s): Algebra | Rich tasks | Sequences - special types
Practising substitution - Heron's formula
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Use the given formula to find the area of triangles. A testing
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Prime factorisation and anagrams
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A resource which makes use of the fundamental theorem of arithmetic
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Prime factors - handy hints
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Some quick checks to see whether a number is divisible by the
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KS4 | Published: 20/04/2012 | From the resource collection(s): Number | Number properties – prime factors
Prime triangles and functions
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An investigation making use of logic, permutations, the factorial
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Problem solving A-level question - parametric function
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One parametric function leading to many A2 topics – Curve sketching,
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KS5 | Published: 08/10/2018 | From the resource collection(s): Calculus | Problem solving | Integration | Parametric equations
Problematic equivalents jigsaw
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Complete the puzzle by matching equivalent values – harder than
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KS3 | Published: 22/11/2012 | From the resource collection(s): Number | Fractions/decimals/percentages
Puzzling fractions, decimals and percentages
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A series of starters on equivalent fractions and converting to
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KS3 | Published: 22/06/2012 | From the resource collection(s): Number | Fractions/decimals/percentages
Pythagoras' theorem and trigonometry
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A pictorial explanation of Pythagoras leading to the 3 related
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KS5 | Published: 11/07/2016 | From the resource collection(s): Geometry and measure | Trigonometry or Pythagoras? | Trigonometry – trigonometric identities
Pythagoras' theorem with other polygons
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If the squares on the sides of a right-angled triangle are replaced
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KS4 | Published: 07/03/2014 | From the resource collection(s): Algebra | Trigonometry – area of a triangle
Pythagorean triples from fractions
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Two methods of finding Pythagorean triples, which involve finding
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(1)
KS4 | Published: 30/03/2012 | From the resource collection(s): Geometry and measure | Pythagoras' theorem
Quadratic factorisation - starter
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Two options are provided for this resource. Either use the rolling
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KS4 | Published: 23/05/2016 | From the resource collection(s): Algebra | Quadratics – factorising and expanding
Quadratic factorisation - Two algorithms
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A clear explanation of the two algorithms for factorising quadratic
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KS4 KS5 | Published: 04/07/2016 | From the resource collection(s): Algebra | Quadratics – factorising and expanding
Recurring decimals and mathematical patterns – An investigation
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A nice investigation into some properties of recurring decimals.
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KS4 KS5 | Published: 19/09/2016 | From the resource collection(s): Algebra | Number | Fractions/decimals/percentages
Reflections
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A presentation on reflections in 2D space for KS3/4 with links
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KS3 KS4 | Published: 11/12/2017 | From the resource collection(s): Geometry and measure | Transformations– reflection
Shrinking circles
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An investigation on polygons: making use of formulae, trigonometry,
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(3)
Square roots and indices
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A series of slides including tasks on the connections between
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Substitution scenarios
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A lovely consolidation exercise with a range of different substitution
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KS3 KS4 | Published: 15/12/2011 | From the resource collection(s): Algebra | Formulae and substitution
The Farey sequence of fractions
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An investigation: Reducing fractions to their lowest terms, ordering
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KS3 KS4 | Published: 13/05/2019 | From the resource collection(s): Number | Fractions – equivalent, mixed and improper | Number patterns | Pick's Theorem | Sequences - special types | Types of numbers
The Hailstone sequence
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This lovely investigation is on five pages: An introduction to
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The Mayan number system
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A KS3 resource - The Mayan number symbols - switching between
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KS3 | Published: 01/04/2019 | From the resource collection(s): Number | Bases – binary/hexadecimal | Place value
The number 1
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A series of four slides designed to stimulate discussion about
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KS3 KS4 KS5 | Published: 11/02/2016 | From the resource collection(s): Core | Number | Types of numbers
The shape of the quadratic function
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Determine the overall shape of a graph – if it's possible! –
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KS5 | Published: 14/06/2013 | From the resource collection(s): Core | Non-linear graphs – quadratics and cubics
Three number projects
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Three arithmetic challenges, including Goldbach's conjecture
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KS3 KS4 | Published: 04/03/2019 | From the resource collection(s): Number | Number properties – mixed | Posters and displays
Transforming sin(x)
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Match the different graph transformations to their functions.
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KS5 | Published: 27/07/2012 | From the resource collection(s): Core | Non-linear graphs – sin, cos and tan