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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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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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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Factorizing Quadratics Puzzle

Factorizing Quadratics Puzzle

Students factorise and expand quadratics to fill in the blanks on the table, including some non-monic quadratic expressions and the difference between two squares. This makes an engaging and challenging task, as it includes: - Finding common factors in different quadratics - Self-checking as the answers are given and students only need to find which position they go in. - All the different types of quadratics students could be asked to factorise/expand at GCSE.
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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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Algebraic Fractions Puzzle

Algebraic Fractions Puzzle

Puzzles for simplifying, adding, subtracting, multiplying and dividing algebraic fractions. Highly differentiated with single bracket factorization, double bracket factorization and questions with no factorization required. Ideal for consolidation of the topic or for extending higher ability students. Answers provided.
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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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Zombies STEM activity

Zombies STEM activity

Set of activities I made for our whole-school STEM day a couple of years ago. As such it is suitable for a wide range of abilities and learning styles. Skills practiced include: - Co-ordinates and map references - Map Scales - Spotting patterns and drawing conclusions - Sequences (including linear, quadratic and exponential sequences) - Calculating Speed/Distance/Time - Time Series Graphs - Functional skills problem solving The activities are set in Bristol but could be adjusted by replacing the map.
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Vectors Card Sort and Matching activities

Vectors Card Sort and Matching activities

These activities are designed to promote discussion and mathematical reasoning skills around vectors and vector addition/subtraction. The first activity asks students to work in pairs to match a resultant vector diagram to an expression like a + b. For extension, students show the vector addition visually and then write it formally for each card. The second activity asks students to sort cards that contain statements about combining vectors in to three columns (Always True, Always False, and Sometimes True) and justify their answers (again in pairs).
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Circle Theorem Puzzle

Circle Theorem Puzzle

Use circle theorems and other angle rules to find all the missing angles in this single page puzzle. Ideal as a consolidation or group task on circle theorems.
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Solving Equations involving Algebraic Fractions Puzzle (A/A*)

Solving Equations involving Algebraic Fractions Puzzle (A/A*)

Puzzles to improve procedural fluency when manipulating and solving equations involving algebraic fractions. Ideal resource to stretch and challenge higher ability students. Differentiated with three difficulty levels, each including an optional extra challenge. Answers provided.
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Rich task: Finding the mean from a grouped table discovery

Rich task: Finding the mean from a grouped table discovery

Students will discover for themselves how to find the mean from a grouped table. They will then get lots of practice with it whilst trying to find the patterns in each puzzle in the collection. They are very rich tasks, with a low entry point (students only need to know how to find the mean of a set of numbers) and an extremely high ceiling (involving sequences and series). Very easy to differentiate for different abilities (either skip pattern 10 or add the brainbox questions). The task ends with a paired activity where students create their own patterns.
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Function Machines

Function Machines

Lesson on function machines aimed at a KS3 group, highly differentiated with plenty of challenge.
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Area and Perimeter of Circles

Area and Perimeter of Circles

A collection of varied and differentiated resources on finding the area and perimeter of circles and compound shapes involving circles. They are aimed specifically at lower ability students, giving them more time to work on the topic and develop a deep understanding/mastery of the material. Includes: - structured/scaffolded worksheets for building confidence - a row game for paired work/peer assessment - a rally coach for paired work/peer learning - a code breaker for practicing the skills in an engaging way - 'skills network' for building connections with other topics More similar resources on other topics coming soon!
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Solving Multi-Step Linear Equations

Solving Multi-Step Linear Equations

A collection of varied and differentiated resources on solving basic linear equations including equations with negative answers and brackets. They are aimed specifically at lower ability students, giving them more time to work on the topic and develop a deep understanding/mastery of the material. Includes: - structured/scaffolded worksheets for building confidence - a row game for paired work/peer assessment - a code breaker and connect 4 game for practicing the skills in an engaging way - 'skills network' for building connections with other topics - Correct the mistakes, problem solving questions and 'Always, Sometimes, Never' cards for developing a deeper understanding More similar resources on other topics coming soon!
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