# Vics25's Shop

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#### Mean - full lesson

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A lesson made for high ability year 7 but suitable for any class to introduce mean. Starter is a revision starter which should be changed to suit your class Discussion slides - what do they know already, why do we add and divide to find the mean. A mixture of questions (integers, decimals, negatives) When is mean not useful? Discussion points / questions which show when the mean is misleading i.e when outliers skew the data Any comments/ feedback would be greatly appreciated.

#### Introduction to Trigonometry (2 lessons)

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2 lessons introducing trigonometry. Previously when teaching trigonometry to lower ability classes I focused on the steps but not why they are used. With these lessons the pace is slower but it really goes into what Sine is and where the steps come from. Lesson 1 - Finding missing lengths using Sine Spotting patterns in right angled triangles with the same angles e.g when the angle is 30 the opposite is half the hypotenuse Using tables to find missing lengths Using the Sine button on the calculator to find missing lengths Practice (questions taken from CorbettMaths) Lesson 2 - Finding missing angles using Sine -Recap from previous lesson Finding missing angle (begins revisiting the table but moves quickly into calculator) Trigonometry practice questions with answers (this has a mix of length and angle questions and a sneaky Pythagoras question to check they can spot when to use which skill). Questions taken from CorbettMaths and MathsGenie Exact Values (Sine) This was a complete new approach to introducing trigonometry for me to any feedback would be greatly appreciated

#### Averages

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Averages lesson initially used with high ability KS3 -Key skills starter suitable for the class Definitions to copy into their books Examples to complete as a class for each average Worksheet - find the mean, median, mode and range and decide which is the most suitable average for each scenario Any feedback would be greatly appreciated

#### Expand and Simplify Single Brackets

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Whole lesson on exapanding and simplifying single brackets, used with top set year 7 Starter - simplifying algebraic expressions Recap - expanding single brackets (with answers) Mixture of examples (example 1 - teacher explanation, example 2 - teacher modelling with questioning, next questions - students answer), with a mixture of positives and negatives Worksheet with answers

#### Multiplying & Dividing Negative Numbers

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SMART notebook presentation for multiplying and dividing negative numbers lesson Starter - Column multiplication practise Rules of negative numbers for multiplication and division Mini Whiteboard questions Slide to insert main worksheet - I used brilliant negative numbers codebreaker I found on TES from another author Stretch It questions to go through as a plenary on final slide

#### Factorising Single Brackets

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Factorising Single Brackets full lesson Starter - mixed expanding/simplifying/HCF questions Method to copy into books then examples of factorising Mini Whiteboard questions Worksheet with answers Any feedback is greatly appreciated

#### Expanding Single Brackets

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Expanding Single Brackets lesson - initially used for high ability year 7 but suitable for other classes Starter - simplifying algebraic expressions Explanation and examples Mini Whiteboard Questions Worksheet with answers (this worksheet was initially taken from another TES user but I hace changed the questions to better suit my class) Stretch it - area of shape with algebraic lengths Any feedback is greatly appreciated

#### Recurring Decimals

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A whole lesson, used with high ability Year 9 and 10, on converting recurring decimals into fractions. It also includes how to tell if a fraction will recur. Starter is a mixed starter covering recent topics we had covered (adapt to suit your class) Recap converting fractions to decimal Activity moving fractions into relevant columns, terminating or recurring. Some of these the students knew, some they could work out. As they went they were looking to see if they could spot a pattern to help them. We then discussed and they copied down the rule. Converting simple recurring decimals to fractions (examples and exercise) Converting more complicated decimals to fractions (examples and exercise) Any feedback would be greatly appreciated

#### Substitution

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Full lesson on substitution complete with worksheet used with middle ability year 8s and 9s Definition Examples and practise with positive integers Examples including BIDMAS Worksheet including answers

#### Introduction to Indices

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An introduction to indices lesson - includes writing expressions in index form, power of 0, square and cube numbers and calculations with indices. Also contains a multiple choice quiz at the end to assess common misconceptions

#### Prime factorisation

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Prime factorisation lesson used with high ability KS3. -Recap of factors, multiples and primes -Factor tree examples to complete a class -Slide with rules of divisibility - could be deleted depending whether this is needed for your class -Factor tree questions with answers -Factors and Multiples Bingo at the end of the notebook