# Phil Hatchard's Shop

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#### Inequalities - Using the signs correctly, listing integer results and inequalities on a number line

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For KS3 or KS4 (particularly low ability). &quot;Crocodile eats the bigger number&quot; using the signs correctly between two values, then between 2 sums, then with a little bit of simple algebra (with values of a, b and c given). Listing the possible integer solutions of a simple inequality. Representing inequalities on a number line, and writing inequalities down from a number line. Quite a few answers to odd questions are done for them to help the students check their own approach as they go.

#### Scatter Graphs

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KS3 and KS4/GCSE activities on Scatter Diagrams/Scatter Graphs. Includes * a cheat sheet that I print on A3 in colour to put on the desks for them to refer to (can also double as a classroom display * a quick sorting activity where students pair up types of correlation to pictures of graphs and pairs of variables that would match each graph * a worksheet where students decide which scenario must go with each graph, and give reasons, and a prompt sheet with some suggested generic reasons for those who need it * some exam questions that I have edited a little to include parts asking students to identify types of correlation and describe the relationships in context

#### Properties of Numbers Displays

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Doc and PDF formats. Includes: * Factors &amp; Multiples (which I used by printing together onto A3 and laminating) * Prime Numbers and Prime Factors (which I used by printing together onto A3 and laminating) * Square Numbers (which I printed, sliced up into its individual squares, laminated, then sliced up again and stuck on the wall in sequence) * Cube Numbers (did as above with the square numbers)

#### Number Thermometer Display

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A number thermometer for the wall going from 10 down to -10. I prefer to have a vertical number line rather than a horizontal one, as it feels much easier to explain numbers getting higher and lower if they’re going up and down. A blank unlabelled thermometer is included too, so if you laminate before putting it onto the wall you can write different numbers on.

#### How Many Boxes Fit? (Relating to Enlargement and Area/Volume Scale Factors)

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Short worksheet to prime students to think about how small boxes would physically fit inside a larger box, rather than simply work out the volume of each and divide to work out how many fit inside (which may not work if the boxes don't fit snugly).

#### Algebraic Substitution Introduction - Basic visual introduction

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Basic visual introduction to both writing expressions and substituting in values. This uses the concept of a variable as a physical token that has some monetary value. I've made it to use with some of my Year 11s who have some big gaps in their understanding so I'm going back to basics with them. I'm going onto solving equations from here so I'll add more when I build on this topic a bit later.

#### Percentages of Quantities - Calculator Methods - inc Reverse Percentage Change and Compound Interest

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Resources I made for an interview lesson (I got the job) with a mixed ability group that had a wide range of abilities. Starts with a RAG activity so students can select their own starting point, which can range from Changing Percentages to Decimals, to Compound Interest. Each worksheet is an explanation of the skill, some basic questions and then exam questions. Enough resources to easily last two or three lessons. Presentation Pre-Lesson RAG Activity Percentages to Decimals Percentages of Quantities Percentage Change Reverse Percentage Change Compound Interest