Unit: Loci and Constructions

Unit: Loci and Constructions

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.
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Project: Geometric City

Project: Geometric City

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.
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Cross-Curricular Election Maths: Voting Systems

Cross-Curricular Election Maths: Voting Systems

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!
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Probability - Expectation and Murder

Probability - Expectation and Murder

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.
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Representing Expressions

Representing Expressions

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
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Christmas Maths - Predicting Snowflakes

Christmas Maths - Predicting Snowflakes

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.
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Algebraic Manipulation Jeopardy

Algebraic Manipulation Jeopardy

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

Exploring the difference between averages

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.
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Probing Questions on Estimating the Mean from Grouped Data

Probing Questions on Estimating the Mean from Grouped Data

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"
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Logarithms C2 - Change of Base - Matching Activity

Logarithms C2 - Change of Base - Matching Activity

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.
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Mini-Murder Mystery - Non-Linear Graphs

Mini-Murder Mystery - Non-Linear Graphs

Students are asked to plot quadratic, cubic and reciprocal graphs. Students are asked to find the turning points of graphs and describe other features. All this work is wrapped in an engaging murder mystery. Contains answers
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Comparing Fractions Lesson

Comparing Fractions Lesson

Lesson designed to go deeper in to understanding how to compare fractions, looking at multiple methods for comparing them, as well as asking more rich questions. Would go well with my worksheet also on comparing fractions found here: https://www.tes.com/us/teacher-lessons/comparing-fractions-code-breaker-7510447
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Awesome Vectors Race Game (including vector addition/subtraction)

Awesome Vectors Race Game (including vector addition/subtraction)

This is a very engaging and tactical game that can be played by 2-4 players. Students take it in turns to play a vector card to move their counter around the track. Once they get the hang of this they should start playing combinations of vectors to move around more quickly. Differentiated by outcome (students choose the difficulty of the combinations they play) and differentiated by task (make the game harder by only allowing 3 or more cards to be played at once. Students will get lots of practice adding and subtracting vectors, as well as multiplying them by scalar quantities.
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