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Simplifying Algebraic Fractions
ceejaypeeceejaypee

Simplifying Algebraic Fractions

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A straightforward lesson and differentiated or staged worksheet for simplifying algebraic fractions. We start with simple multiplication / division and then through expressions which require factorising. Perfect for Middle ability Y11’s, a brighter group might want some further examples of non-monic quadratics as an extension activity. October 2021. Updated to include a powerpoint version for non Notebook users.
Factors, Multiples, Primes into Venn Diagrams
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Factors, Multiples, Primes into Venn Diagrams

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A lesson to remind students how to classify types of number ideal for Ks3 or Ks4 Foundation GCSE. See my Free "Bingo" resource for an ideal starter or plenary depending on the group. The worksheets allows students to do a bit of fun shading, and likewise also introduces Venn Diagrams which have been added into the GCSE curriculum.
Factors, Multiples, Primes, Bingo
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Factors, Multiples, Primes, Bingo

(6)
A bingo activity focussing on students knowledge of classifying numbers as square, cubes, multiples, odd / even etc. A fun activity that can generate plenty of discussion, check prior knowledge and provide an opportunity for higher level thinking on the topic.
Area and Volume of Similar Shapes
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Area and Volume of Similar Shapes

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A complete lesson worksheet and starter activity for students to discover the link between length scale factor and the area/volume of similar shapes and/or solids. Could be split into Area for one lesson and then volume for the second.
Solving Quadratics By Factorising
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Solving Quadratics By Factorising

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A straightforward lesson on this essential skill with a differentiated worksheet, with a few non-monic equations, and some equations that need to be rearranged into the correct form first.
Using and Applying Index Laws
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Using and Applying Index Laws

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A differentiated lesson to teach algebraic multiplication and division of indices from the ground up. Including Multiply / Divide / Brackets Misconception Busting Plenary Four levels of work on Differentiated worksheet with answers included.
Codebreaker - Algebraic Substitution
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Codebreaker - Algebraic Substitution

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Suitable for a lesson activity or homework for a Foundation GCSE or KS3 teaching group. Students find the values, convert to letters and an easy progress check can be made by asking the students what it spells!
Surds - Revision Powerpoint
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Surds - Revision Powerpoint

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A powerpoint (with an initial starter involving indices) that covers why we use surds, simplifying surds, multiplying and rationalising. I have been using this with Year 11 intervention groups. There are also some example exam style questions and problem solving tasks. You may need some additional work to turn this into even a two or three lesson block.
Generating Quadratic Sequences - Investigation
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Generating Quadratic Sequences - Investigation

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A lesson to introduce Quadratic sequences as part of the new 9-1 GCSE Content. I approach this topic by getting the students to generate n squared, 2n squared etc and find the second level difference for themselves rather than demonstrating this from the outset.
Codebreaker Activity - Factors, Multiples, Squares, Primes
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Codebreaker Activity - Factors, Multiples, Squares, Primes

(1)
An exercise designed to recap or revise all areas of number work that involves HCF, LCM, Powers, Roots etc suitable for GCSE or KS3 students. I use this as an end of unit assessment and either make A3 sheets to share or individually as a homework. The answers will spell a question that then needs to be answered and can be modelled at the end of the lesson as a plenary. A simple extension task is to ask students to test each other and make their own codes - I have also set this for homework in the past.
Collecting Like Terms - Differentiated Lesson
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Collecting Like Terms - Differentiated Lesson

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A fully differentiated lesson on powerpoint and Word with notes to teach this topic from the ground up. Fun element of aligning algebra to the McDonald’s drive through and why we make terms simpler. Suitable for Year 6 upto GCSE foundation. With a misconception busting plenary.
Terminating and Recurring Decimals - Recurring Decimals to Fractions
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Terminating and Recurring Decimals - Recurring Decimals to Fractions

(1)
A big value bundle which would form the basis of a 2 or 3 lesson block on this topic. First lesson - why do some decimals terminate and some decimals recur? - getting students to find for themselves through division and investigation that this relates to the prime factors of the denominator. Second / Third lesson - plenty of work / practice including a well graded Mild / Hot / Spicy / Inferno sheet for this tricky topic.
Evaluating Zero and Negative Powers
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Evaluating Zero and Negative Powers

(0)
A clear and straightforward Notebook file to explain what these indices represent. Can be used in conjunction with GCSE textbook or suitable worksheet although there are plenty of examples on screen