# Phil Hatchard's Shop

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#### Scatter Graphs

(17)
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)

#### 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.

#### 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).

#### 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

#### 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.

#### 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.

#### Sports Leagues Data Handling Investigation

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A short investigation that has students finding the number of possible combinations of pairs items from a given set, through listing numbers of games played in different sizes of sports league. Able students will find the algebraic rule - n(n-1) games when playing home and away - and find the link to triangle numbers when teams only play each other once. Plenty of possible extensions that I’ll leave up to you!

#### Rolling Dice Investigation

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An investigation for combinations of possible outcomes, finding that there are more ways of getting some results, and introducing sample space diagrams. Students predict the results when rolling one and then two dice, and share results to build up a larger more reliable data set. There are then extension activities that they may choose from. Opportunities for students to: Make predictions Use the concept of ‘expectation’ Consider that a larger data set is more reliable and gives better predictions than a smaller one Consider whether individual dice might be biased, if this comes up in results Learn about sample space diagrams as an efficient way to list combinations of outcomes Extend the investigation to dig deeper into an aspect of their choice This investigation easily fills a whole lesson.

#### Bar Charts, Histograms, Frequency Polygons

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A lesson on Frequency Diagrams: Bar charts for discrete or qualitative data Histograms/bar charts for grouped continuous data with equal width class intervals Frequency Polygons Includes: Examples in a Smart Notebook file with accompanying worksheets for them to do along with the teacher. Worksheets with two examples of each type of frequency diagram for them to complete independently. Model answers included. The Notebook file builds slide by slide, so you can start to fill in the next detail to show them how it works (start to label axes, use rectangle tool for bars, for example), and then skip to the next slide to show what it should look like when that step in the process is complete.

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