π MutantMaths.com π
Conceptual & immersive mathematics resources for developing a deeper understanding.
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Conceptual & immersive mathematics resources for developing a deeper understanding.
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Ο History of Irrational Numbers Ο Engaging Starter for Roots, Surds or Trial & Improvement
The story of Pythagoras and Hippasus and the discovery of irrational numbers. Please read the PowerPoint slide notes to understand what each slide is about. An engaging and perhaps slightly elaborated historical tale! Suitable for any level. Discussions regarding the infinite number of permutations of numbers within irrational numbers can be truly mind-blowing! Imagine if every two digits was used to encode a letter of the alphabet... What stories would be hidden within?!
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π² WHY MATHS? π² Engaging PowerPoint π² Multiple Reasons To Get Better At Maths!
A colourful and engaging PowerPoint to get students thinking about why maths is so important for them personally. Reasons range from classics (more money) to less conventional and more fundamental reasons, including:
π² Loans, bills & taxes... π’
π² Increased earnings.
π² Understanding just about everything in the world better.
π² Improving your ability to succeed in ANY field, with sport given as an example.
π² Logic, strategy & problem-solving: basically maths makes you smarter!
π² Not letting yourself be fooled by the media and advertising.
π² Stopping human society from collapsing!
π² Understanding the universe and our place within it!
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π¦ Real-Life 3D Shapes π¦ Faces, Edges & Vertices
A simple worksheet linking 3D shapes to real-life objects and asking students to count their faces, edges and vertices.
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Sπlving Linear Equations Worksheet - Self-Discovery & Increasing Challenge
Uses simple yet carefully-designed equations that develop a deep understanding of the fundamentals of solving equations. Can be used as a self-discovery exercise whereby students are not taught how to solve equations, but must explore which value for each letter would make the equation true.
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π BrainBoost π 25+ Interactive Problem-Solving Lesson Starters with In-Built Reward System
An interactive offline website with 27 sets of 3-differentiated-question problem-solving starters. There is an in-built reward system where achievements are unlocked for entering the correct solution to each question. "Green" questions are designed to be accessible to all ability groups, but still require some resilience and problem-solving techniques. Yellow questions provide greater challenge and red questions can be exceptionally challenging. Unzip everything into a folder and run BrainBoost.html. Optimised for Google Chrome. Please contact me with any technical queries.
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Expanding & Factorising Worksheet & PowerPoint Questions (inc. Real-Life Examples)
A worksheet designed to be made into a colourful laminate that demonstrates where thinking about algebraic expansion and factorisation may be useful in real-life situations. Followed by a PowerPoint full of questions of with an increasing level of challenge.
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Factorising Quadratics with an X-Squared Coefficient - PowerPoint Investigation
A Studio Ghibli themed presentation carefully designed for students to discover what effect an x-squared coefficient has when double-brackets are expanded, and hence figure out how to factorise such quadratics for themselves.
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β Superhero Number & Algebra Revision with Solutions β Colourful & Engaging Laminate
Colourful superhero-themed revision worksheets. Designed to be printed in colour on two sheets of A4 and laminated back-to-back. Solutions included as PowerPoint presentations for students to mark their own work.
The Number sheet (RED) covers: Adding and subtracting decimals, Ordering fractions & decimals, Multiplying large numbers, Adding and subtracting fractions, Equivalent fractions, Fractions of amounts, Equivalent FDPs, Rounding & approximation, and Order of operations.
The Algebra sheet (BLUE) covers: Sequences, Substitution, Simplifying, Solving, Expanding, and Graphs.
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πΎ Ultimate Substitution Laminate πΎ Colourful, Engaging & Educational!
Carefully-designed to develop a deep understanding of substitution without having to pre-teach any fixed methods. For the best result print in colour on two sheets of A4 and laminate them together back to back. The reverse side can then be filled in with a board marker which the students really enjoy. Colourful, engaging and encourages critical thinking. One of my favourite resources.
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πΌ "Real-Life" Trial & Improvement πΌ Colourful & Engaging Laminates
Five colourful and engaging questions on individual sheets designed to be laminated and worked on in groups. The questions encourage the use of critical thinking through trial & improvement although they could be investigated algebraically for high-ability groups or extension work.
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π SubstitutΓ©mon π Substitution Card Game Activity - Engaging & Competitive
A challenging, engaging, creative & competitive card game combining PokΓ©mon & substitution. Students create their own cards and compete under surprise "weather conditions" based on increasingly challenging algebraic expressions. This activity forces students to think deeply about the fundamentals of mathematical processes in order to create the best set of cards. Your students won't forget this lesson!
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πΊ Interactive Lesson Plan πΊ Student Name Generator
Display your lesson plan to the class with this specially-designed webpage. Including
πΊ Learning objective and previous/next lesson details.
πΊ Colour-coded for Assessing Progress, Demonstration & Discussion and Student-centred activities, providing a balanced lesson.
πΊ The section of the lesson you are on is automatically highlighted based on the real time.
πΊ A button lets you randomly select any student in the class. Works very well on interactive whiteboards!
Great for lesson observations! Double-click to open in your browser. Right-click and open in Notepad to edit the code. With basic knowledge of HTML and JavaScript this resource could be adapted and further improved. Please contact me with any technical queries.
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π Algebra as Shapes π Conceptual understanding of expressions
A worksheet based on the TakTile concept: using shapes to represent algebraic variables. This really makes students think about algebra in a different way and can help visual/kinaesthetic learners get their heads around algebra. A resource/concept that can be extended indefinitely. Designed to be printed as a two-sided colourful A4 laminate and includes large versions of the shapes to be printed on card or laminated for kinaesthetic representation and manipulation.
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β Mixed Probability Resources β Engaging & Effective
β Compound Probability Lesson - Students investigate the probabilities involved in tossing coins and use their new knowledge to compete a worksheet (basic, challenge & enlarged version included).
β Coin Challenge - A gambling-based PowerPoint demonstrating how misleading probability mathematics can be.
β Alien Abduction PowerPoint - An engaging PowerPoint involving global demographics and the fascinating non-transitive dice.
β Probability Card Set - Some cards for students to place on a probability line, including blanks to make up their own.
β Basic Probability Tarsia - A tarsia based on a set of ten coloured cards, for developing a basic understanding of probability.
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Probability Worksheet - An engaging worksheet on basic probability.
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π 8 Amazing Circle Posters π Planets, Atoms, Engines and more!
8 engaging and fascinating posters about real-life circles and spheres. When designing these posters I thought of the stereotypical maths poster (full of words, numbers & boring diagrams) and made the exact opposite. Students actually look at and ask questions about these posters! High quality images for printing as large wall displays (7200 x 6000 px JPEG format). Contact me for the original PSD/TIF files.
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π Custom-Made Interactive Visual Teaching Resource π Made-to-Order Geogebra File
I will design a colourful and engaging interactive Geogebra file that develops a deeper conceptual understanding of your chosen topic. I will aim to create this within one week of your payment.
Please email me with details as soon as you have made the payment:
mail [AT] mutantmaths [DOT] com
For the GeoGebra files shown in the attached images, please see my other resources.
π© Trigonometry π© Calculator Brain Method π©
An extremely different approach to teaching trigonometry that allows high-ability students to truly understand what the sine function is doing. This tried-and-tested guide shows students how to scale up and down right-angled triangles produced by a unit circle in order to solve any trigonometry problem. This is for students and teachers who don't just want to memorise SOHCAHTOA but really want a deeper understanding of trigonometry. Anyone who has had to apply trigonometry in real-life situations such as engineering or computer game design will know that SOHCAHTOA is not appropriate for our high-ability students. This method is advocated by MEI lecturer Tomi Owens, among others. Not only does it develop a deeper understanding of trigonometry but it allows students to practise Pythagoras and complex enlargements. Be warned, this method may only be suitable for the most able of students.
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π π’ Trigonometry Mega Pack π’ π Imaginative, Engaging & Challenging
Dinosaurs, planetary orbits, megagons and space diagonals, this trigonometry resource pack has it all! Not to mention a few trigonometry tests with some plain old triangles thrown in for good measure, solutions included. Some resources for practising basic trigonometry with gradually increasing difficulty, and some exceptionally challenging questions that will make even the smartest maths teachers have to think too! Some resources for outdoor trigonometry may have to be adapted for your school grounds.
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π― Angles in Parallel Lines & Triangles π― Colourful & Engaging Laminates with Solutions
Three colourful & engaging laminates with a carefully-designed increase in difficulty to develop understanding and maintain challenge.
GREEN: Angles on Parallel Lines
AMBER: Angles in Triangles
RED: Challenge Angles
Includes PowerPoint angle puzzles.
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π³Word Roots π³Etymology for Improving Understanding & Cross-Curricular Links
Guidance for teachers to start using word roots to help students to understand technical words, to make links between different words/subjects, and to improve their spelling.
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