# Flibit's Shop

Creating Maths resources that are hyper-engaging, relevant, accessible and thought-provoking (at least that is always my aim!).

Creating Maths resources that are hyper-engaging, relevant, accessible and thought-provoking (at least that is always my aim!).

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Creating Maths resources that are hyper-engaging, relevant, accessible and thought-provoking (at least that is always my aim!).

This lesson encourages students to use Maths that they know to try to solve a real world problem: Who wrote an anonymous document. The lesson is set up as an intriguing mystery and is solved in small groups, your students should be hooked from the start.
There are many mathematical skills which students can employ to solve the mystery, and as students have the choice, there is natural differentiation baked in to this rich task. The powerpoint does suggest two possible avenues for students who struggle to come up with an idea. These use:
averages
relative frequency
One extra note - this lesson is best used with larger classes, as no single technique is particularly accurate in isolation. The magic happens when each group compares their results and their combined solution becomes a lot more convincing.

Graphs are an ideal place to look for cross-curricular links and in this resource I've tried to emphasize the importance of statistics and statistical awareness for everyone. This is achieved by looking at the 2016 US election and Brexit.
In this lesson, students write down guesses for important guesses about the world, they then check their guesses by interpreting real world guesses.
Comes as a complete lesson with worksheet

A task designed to help students see the connections between different parts of Maths.
Pupils start with direct proportion questions that they have to answer.
Students then add different representations of each question, including:
- Formulae
- Ratio
- Table
- Graph
Finally, to make the connections more visual, students colour-code the poster where connections are found.

Introduces integration as the reverse of differentiation. Includes:
- Examples and exercises involving basic integration of polynomials
- Examples and exercises invcolving calculating the constant of integration
- Answers to each exercise
- Extra puzzles

Activities matched to the Pearson Edexcel book.
All the resources that are referenced but not attached can be found here: http://www.resourceaholic.com/p/resource-libraries.html#Logs

Students first group the cards in to the four types of transformations. This will promote discussion of how to spot each type.
Then students match each card to a description. Many of the descriptions are similar, promoting discussion of common misconceptions.
There is also one extra description of each type of transformation. This is to stop students from not checking the last of each transformation, but also allows students to draw each type of transformation.
This activity would be an ideal way to lead in to 'Describing Transformations' after covering 'Drawing Transformations'.

I have designed this pack of 6 lessons in the style of the Maths Assessment Project from the Shell Centre. Because of that, they contain many opportunities for AfL built in, opportunites for active and constructive discussion, and rich, open tasks.
Here is a brief overview of the content and activities:
Lesson 1:
- Initial Assessment (test) – marked to diagnose prior knowledge and set specific tasks for improvement.
- Video demos on constructions of triangles. Pause and explain the videos as students follow the steps.
- Class discussion about an impossible triangle.
Lesson 2:
- Set DIRT tasks from marking Initial Assessment or discuss common misconceptions as a group
- Triangles Card Sort - students have to construct the triangles and sort them in to three groups: Impossible, Unique and Multiple possible triangles.
- Discuss questions based on A03 Reason and Explain problems as a group. Emphasise different approaches and answers the students may have.
Lesson 3:
- Starter: Find a point exactly between A and B. Find two points that are 5cm from both A and B.
- Perpendicular and Angle Bisectors, Point to a line video demonstrations. Students copy the steps from the demonstration videos then repeat the steps on their own.
- Open construction challenges
- Plenary – Discussion of strategies for difficult parts of the challenge
Lesson 4:
- Starter: Mark at least 10 points that are 5cm away from X.
- Group discovery task designed to find the four main types of Loci seen at GCSE
- Card Sort – Some found here:
o https://www.ncetm.org.uk/resources/10771
o https://www.tes.com/teaching-resource/loci-and-construction-review-6342861
o https://www.tes.com/teaching-resource/locus-of-a-point-matching-exercise-11190166?theme=3
- Plenary: Group Discussion of Exam Q involving a combination of Loci
Lesson 5:
- Starter: Construction skills practice worksheet
- Exam Questions done on Mini WhiteBoards
- Exam Questions done on sheet – Recommend this booklet - https://www.tes.com/teaching-resource/loci-booklet-questions-and-answers-11379556?theme=0
- Plenary: Create your own question for a shape
Lesson 6:
- Starter: Create a loci question for your partner; answer your partner’s question
- Progress check - Similar to Initial Assessment, designed to demonstrate progress as well as identify any remaining misconceptions
- Students Peer Mark with helpful comments
- Show of hands on Learning Objectives.

A differentiated worksheet inspired by the PRET homework website and Miss Bs Recources.
Contains:
- mutually exclusive probabilities that add up to 1
- using algebra to find probabilities
- expected frequency

Multi-Lesson project where students create nets of different 3d shapes and work together. Each group makes a city block complete with different decorated buildings. Highly differentiated by outcome.

Ideal for use in election years, particularly when things happen like Trump becoming president, despite not winning the popular vote. This is a differentiated lesson looking at the use of different voting systems, their advantages and disadvantages.
In this lesson, students will:
- Look at the mechanics of different voting systems including: First past the post, alternative voting, BORDA count, weighted BORDA count and a two-round system.
- Try out the voting systems to see who would win in a hypothetical situation
- Think about how they would vote tactically in each voting system to block someone from getting in
- Consider the advantages/disadvantages of each.
- Reflect on their learning
To really 'show' that there is no perfect system, the votes have been designed so that using each voting system produces a different winner!

Cross-curricular lesson looking at how probability can be used and misused in criminal court cases.
The aim is to represent probability as something vital that needs to be understood by everyone (including juries) and something memorable.
Looks at expected frequency, but could just as easily be adapted to cover conditional probability as well.

I wanted an activity where students started plotting straight lines before introducing formal algebraic notation.
I couldn't find it so I created this lesson.

An activity that aims to help students understand different representations of equivalent expressions, including:
- Algebraic notation (with simplified terms)
- Unsimplified equivalent expressions (involving Collecting Like Terms and Expanding Brackets)
- Algebra Tiles
- Substituting values in to expressions
- Written word problems

Students practice their spatial awareness by visualising, predicting and checking reflections. This is all achieved with the fun Christmassy theme of making paper snowflakes. Ideal for an end-of-term activity.
Differentiated for different levels of ability.

Simple puzzle about converting speeds written in different units in to a comparable unit.

Game of Jeopardy including differentiated difficulty questions on the topics of:
- Collecting Like Terms
- Multiplying Expressions
- Expanding Brackets
- Factorising Expressions

Two tasks designed to get pupils thinking about the different averages and how they are affected by new numbers added to a set. It preempts my lesson on which average you should use and why (How to use an average - https://www.tes.com/teaching-resource/how-to-use-an-average-11616492). Its also quite a nice bit of cross-curricular thinking.

TES PICKS

This powerpoint and lesson aims to help students understand the different advantages and disadvantages of each average (mean, median and mode) and gets them to think about which situations each average is most appropriate for.

Estimating the mean from grouped data is one of those topics that all my students can do in lesson, but tend to forget in tests. Because it is quite an abstract process, students often learn the steps of the method without really understanding what is happening.
These questions aim to remedy that. The idea is to get students to think about how the steps they are calculating relate to their final answer.
This resource is a natural companion to another I have made, just search for: "Rich task: Finding the mean from a grouped table discovery"

In this challenging puzzle, students are asked to match equivalent expressions involving logarithms.
To do this students will need to use the Core 2 Laws of Logarithms and to change the bases of each question.
I've tried to design it to tease out common misconceptions and promote thoughtful discussion.

A simple activity takes the 12 days of Christmas that little bit further by comparing the totals of different sequences over the 12 days.