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### All resources

#### Expand and Simplify Single Brackets

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

#### Introduction to Indices

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

#### Negative Indices worksheet

A single page worksheet on negative indices - Includes evaluating, simplifying, writing in index form, and questions where the base number is a fraction

#### Midpoints

Complete lesson (including worksheet) on finding the midpoints of line segments.
Begins with all positive coordinates, then moves into negatives.
Ends with finding endpoints when given midpoints (may need to spread into two lessons)

#### Prime factorisation

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

#### Recurring Decimals

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

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

#### Averages

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

#### Introduction to Trigonometry (2 lessons)

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

#### Factorising Single Brackets

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

#### Mean - full lesson

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.

#### Multiplying & Dividing Negative Numbers

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

#### Expanding Single Brackets

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

#### Real Life Formulae

A straight forward worksheet allowing students to practise interpreting and understanding formulae in real life contexts. Each question has been written to be linked to a career, so students can see where formulae might be useful in the future.

#### Listing Factors Worksheet

A straightforward worksheet on Listing Factors. Aimed at Lower Ability