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Mathematics
Factorising and completing the square using algebra tiles (mastery style)
A complete lesson, definitely enough to last 2-3 lessons. (43 slides)
The lesson uses algebra tiles to represent factorising quadratics and completing the square. Previous use of algebra tiles is preferable but the way the lesson has been designed it is accessible if students might not be familiar with them,
Representations is one of the 5 big ideas of mastery.
The lesson includes:
Do it now (Thanks to Mr CarterMaths)
Recap of expanding using algebra tiles (Thanks Mathsbot for the representations)
Demonstration of how to factorise quadratics using algebra tiles
Tasks for students on factorising quadratics (including when coefficient of x squared is more than 1.
Variation questions that lead into perfect squares (What do you notice? If I change this then what will happen?)
Demonstration of how to complete the square, side by side with representation
Prompt questions based on completing the square
Tasks for students to practise completing the square using diagrams.
Faded guidance task to support students writing this algebraically.
All answers are provided throughout
AO2 reasing questions and problem solving questions built in.
Examples of completing the square with negative signs
Tasks for students to practise questions with mixed signs.
Review it now to recap learning
Printable templates.
Please check out my other resources, particularly the other ones on expanding brackets using algebra tiles which may be useful before this.
Any feedback/mistakes please let me know so I can correct!
Hope it is useful, thank you.
Expanding Brackets Mastery style using algebra tiles bundle
This is a bundle of 3 lessons focusing on expanding brackets using a mastery style of lesson by using algebra tiles.
Lesson 1: Expanding single brackets
Lesson 2: Expanding quadratics introduction
Lesson 3: Expanding quadratics when the coefficient of x is more than 1.
Each lesson is a complete lesson and includes:
Do it now with answers
Fully animated modelled examples using algebra tiles and linking this to grid method
I try, you try examples
Student tasks linking to AO1, AO2 and AO3 style questions. (Most answers provided)
Multiple choice AfL questions
Review questions for each lesson
Any feedback is welcome and any questions please ask.
You can check out these lessons individually if you prefer on my resources.
Please check out some of my other similar style lessons.
Thanks
Expanding quadratics coefficient more than 1 (Mastery style using algebra tiles) double brackets
A lesson focusing on expanding quadratics when the coefficient of x squared is more than 1.
This is planned for after students have looked at expanding quadratics with a coefficient of 1. (Please see previous lesson on my resources)
Lesson structure:
Do it now on expanding quadratics with coefficient of 1.
Recap/Introduction to algebra tiles
Examples of modelling questions such as (2x+1)(x+3) with algebra tiles and linking this to the more abstract grid method.
I try, you try questions.
Multiple choice AfL questions
3 sheets of student tasks - do it, secure it, deepen it, apply it.
Links to AO1, AO2 and AO3 style questions on expanding brackets.
(Answers provided)
Review of lesson with answers provided
Feedback is welcome so I can improve these.
Please check out my other lessons of a similar style or maybe my bundle on expanding brackets.
Thanks
Expanding single brackets (Mastery Style) using algebra tiles
A lesson to introduce expanding single brackets.
Algebra tiles are used to model expanding brackets, focusing on forming expressions at the start of the lesson. This would be a good introduction to algebra tiles.
The lesson aims to reveal the structure behind expanding brackets and link to the fact that it is an area model.
Do it now on collecting like terms
Introdcution/recap to algebra tiles
Writing expressions and how we can represent expressions using algbera tiles.
Examples of modelling expanding brackets using algebra tiles
Multiple choice question
A 3 page scaffolded worksheet using a reflect, expect, check style like MrBartonMaths. (Attached as second document)
Modelling of examples with negatives
Fill in the gaps style activity
Reasoning questions, explain the mistake, which one is correct etc.
Review questions
Feedback is welcome so I can improve these lessons thank you.
Please check out my other lessons for a similar style.
Check out my expanding brackets bundle or
Following this there are lessons on:
Expanding quadratics
Expanding quadratics with a coefficient more than 1.
Thank you
Expanding Quadratics (Double brackets) using algebra tiles (Mastery style) Positives only
A lesson to introduce expanding quadratics with a focus on positives only.
The lesson uses algebra tiles to model the structure behind expanding quadratics before progressing into grid method.
Ideally the students would have seen algebra tiles before, but there are some slides explaining and modelling these if they haven’t seen them before.
Lesson structure:
Do it now on expanding single brackets (with answers)
Recap of algebra tiles
Examples of modelling of expanding quadratics with algebra tiles, then leading into a more abstract grid method.
I try, you try style examples
Task for students to notice patterns and links between ‘b’ and ‘c’ (Credit to Miss Konstantine @GiftedHKO) - with answers
Multiple choice AfL questions
Student tasks (3 sheets) - Do it, secure it, deepen it, apply it - Answers provided
Links to AO1, AO2 and AO3
Review of lesson with answers
Please see my other lessons for lessons of a similar style.
Expanding single brackets as a prerequisite lesson.
Expanding quadratics coefficient more than 1 as a follow up.
OR check out the bundle with 3 lessons on expanding brackets
Thanks
Compound Interest Introduction complete lesson mastery
A complete lesson introducing repeated percentage change, growth and compound interest.
Lesson consists of:
Do it now
I try, you try modelling - non-calculator methods and then using multipliers
Visual methods using bar models (linking to mastery)
How to use the calculator
Multiple choice questions
Identifying the misconception
Questions sheets with complete answers linked to AO1, AO2 and AO3
Review it now (Plenary)
This lesson requires students to have a knowledge of percentage multipliers beforehand.
Credit to Boss Maths, Corbett Maths and Just Maths for a couple of the questions.
Any feedback will be greatly appreciated.
Hope it is useful
Thanks
Bundle
Solving equations using bar model BUNDLE (mastery)
Two complete lessons on solving two step equations and with unknowns on both sides using visual representations (bar model).
The lessons includes:
A do it now with answers complete.
True/false activity to introduce bar models.
Fully animated worked examples on how to set up a bar model for an equation and solve.
AfL Multiple choice questions to check for understanding.
Worked examples with bar models and algebraic methods alongside.
Worksheets with faded guidance on solving equations with unknowns on both sides.
Worksheet interleaving decimals and fractions.
Reasoning question - What mistake has been made?
Literacy activity.
Problem solving questions including links to forming equations from a worded problem, perimeter of shapes, angles in parallel lines, angle facts.
Review it now with answers included.
Please check out my other resources.
Any feedback is appreciated.
Follow me on Twitter @MrAlleyMaths
Thanks
Solving equations with unknowns on both sides using bar model (Mastery)
A complete lesson on solving equations with unknowns on both sides using visual representations (bar model).
The lesson includes:
A do it now with answers complete.
True/false activity to introduce bar models.
Fully animated worked examples on how to set up a bar model for an equation and solve.
Worked examples with bar models and algebraic methods alongside.
Worksheets with faded guidance on solving equations with unknowns on both sides.
Worksheet interleaving decimals and fractions.
Reasoning question - What mistake has been made?
Literacy activity.
Problem solving questions including forming equations from a worded problem, perimeter of shapes, angles in parallel lines.
Review it now with answers included.
Please check out my other resources.
Any feedback is appreciated.
Follow me on Twitter @MrAlleyMaths
Thanks
Solving two step equations using the bar model (Mastery)
A complete lesson on solving two step equations using visual representations (bar model).
The lesson includes:
A do it now with answers complete.
True/false activity to introduce bar models.
Fully animated worked examples on how to set up a bar model for an equation and solve.
Worked examples with bar models and algebraic methods alongside.
AfL Multiple choice questions.
Worksheets with faded guidance on solving two step equations.
Worksheet on solving two step equations, interleaving decimals and fractions.
Reasoning question - What mistake has been made?
Literacy activity
Problem solving questions
Review it now with answers included
Please check out my other resources.
Any feedback is appreciated.
Follow me on Twitter @MrAlleyMaths
Thanks
GCSE Volume of a cone and frustum - Fluency, reasoning and problem solving questions
A full lesson for a GCSE class or more able KS3 class.
The lesson inlcudes:
A retrieval practise starter
Key notes and video
I try, you try examples for volume of a cone
I try, you try examples - in terms of pi
A worksheet split up in to fluency, reasoning and problem solving
I try, you try for working backwards to find a height/radius given the volume.
Problem solving questions make links to triangular prisms, cylinders and density.
Answers included
Worked example for frustum
Summary task
I hope it is useful, if you have any feedback please let me know in the comments below.
Please check out my other resources.
Thank you
Solving simultaneous equations introduction - mastery style using bar models BUNDLE L1-5
This is a series of lessons designed as a visual introduction to simultaneous equations. The bundle of lessons consists of four lessons and a mini assessment at the end.
The lessons are structured as follows:
Lesson 1 - Positive coefficients which are the same
Lesson 2 - Negative and positive coefficients that re the same
Lesson 3 - Different coefficients
Lesson 4 - A summary with mixed questions and problem solving
The lessons includes fully animated examples to make concepts clear, true/false tasks and looks to link in some decimals and fractions within the main tasks. The lesson has taken inspiration from a mastery style and starts off heavily focusing on using visual bar models to represent the simultaneous equations and later on looks at how we can write this algebraically.
The bar models are used to make concepts clear to students but gradually removed and the links between the diagrams and algebraic methods are made explicit.
There is a plenary review all of the topics covered. A mention must be given to Pixi Maths as there are two slides at the beginning of L1 which were excellent and borrowed from a Pixi Maths PPT.
Hope this is useful, please leave a review if it is or any constructive criticism.
Solving simultaneous equations mastery style using bar models L4 - mastery style using bar models
This is the fourth lesson in a series of lessons designed as a visual introduction to simultaneous equations. This lesson is an leads on from the same coefficients and different coefficients and looks to master the skill of solving mixed simultaneous questions and some worded problem solving questions. (Positive and negative ones and ones with different coefficients will be added as different resources in my library). The lesson includes fully animated examples to make concepts clear, scaffolded questions with diagrams and then questions where diagrams have been removed. The lesson has taken inspiration from a mastery style and starts off heavily focusing on using visual bar models to represent the simultaneous equations and later on looks at how we can write this algebraically. There is a plenary review all of the topics covered.
Please check out the lessons prior to this or the bundle of lessons to get a full picture of the progression.
Hope this is useful, please leave a review if it is or any constructive criticism.
Solving simultaneous equations introduction L3 - mastery style using bar models
This is the third lesson in a series of lessons designed as a visual introduction to simultaneous equations. This lesson is an leads on from the introduction and looks to master the skill of solving simultaneous equations have different coefficients. (Same coefficients, positive and negative will be listed as different lessons in my library). The lesson includes fully animated examples to make concepts clear, a review of previous lessons in the starter, a main task with a range of questions including decimal answers and a literacy plenary. The lesson has taken inspiration from a mastery style and starts off heavily focusing on using visual bar models to represent the simultaneous equations and later on looks at how we can write this algebraically. There is a plenary review all of the topics covered.
Please check out the lessons prior to this to see the progression.
Hope this is useful, please leave a review if it is or any constructive criticism.
Solving simultaneous equations mastery style using bar models L2
This is the second lesson in a series of lessons designed as a visual introduction to simultaneous equations. This lesson is an leads on from the introduction and looks to master the skill of solving simultaneous equations when the equations have a set of variables with the same coefficient and when the signs are different. (Positive ones and ones with different coefficients will be added as different resources in my library). The lesson includes fully animated examples to make concepts clear, a true/false task and looks to link in some decimals and fractions within the main task. The lesson has taken inspiration from a mastery style and starts off heavily focusing on using visual bar models to represent the simultaneous equations and later on looks at how we can write this algebraically. There is a plenary review all of the topics covered. A mention must be given to Pixi Maths as there are two slides at the beginning of the presentation which were excellent and borrowed from a Pixi Maths PPT.
Hope this is useful, please leave a review if it is or any constructive criticism.
Solving simultaneous equations introduction - mastery style using bar models
This is a lesson designed as a visual introduction to simultaneous equations. This lesson is an introduction and looks to master the skill of solving simultaneous equations when the equations have a set of variables with the same coefficient and when both variables are positive. (Negative ones and ones with different coefficients will be added as different resources in my library). The lesson includes examples, a true/false task and looks to link in some decimals and fractions within the topic. The lesson has taken inspiration from a mastery style and starts off heavily focusing on using bar models to represent the simultaneous equations and later on looks at how we can write this algebraically. A plenary review all of the topics covered. A mention must be given to Pixi Maths as there are a few slides at the beginning of the presentation which were excellent and borrowed from a Pixi Maths PPT and also to MathsPad where 3 scale type questions were borrowed.
Hope this is useful, please leave a review if it is or any constructive criticism.
Cumulative Frequency and Box Plots exam questions
Cumulative frequency and box plots exam questions scaffolded and differentiated.
Two exam questions where students first have to plot the cumulative frequency graph, then interpret it by finding the median and interquartile range and then construct a box plot from this.
I stole the format off someone else who uploaded questions for cumulative frequency and I really liked the format (Sorry I don't know who it was to give credit to).
I then went on to compare box plots.
Algebra Revision literacy activities and relay
A revision lesson at the end of a unit on Algebra.
A couple of key word literacy activities at the start and a matching up activity on definitions etc
The main activity is a group relay task based on simplifying algebra, laws of indices, expanding and factorising, equations, linear graphs and y=mx+c.
Area of compound shapes & Functional GCSE Exam Q's
A PPT with a number of slides including questions on area of various shapes.
Used as a revision tool and prior knowledge required, this lesson is focusing on applying their knowledge. I was really trying to focus on students setting their working out clearly and easy to follow.
There are differentiated worksheets on the area of a trapezium and then functional GCSE questions.
On the trapezium sheet I hand wrote some prompts and steps on the orange and green sheet for less able students.
For all sheets I hand wrote the answers and put one copy on the desk too for students to self check.
Maths Matching Pairs Memory Game
A Matching Pairs memory game where students have to match up questions with relevant answers and use their memory skills to assist them.
There is a template with instructions which should enable you to adapt it for your own subject and needs.
The example provided is a basic Maths Multiplication Game.
Let me know any problems or improvements that could be made and how it worked for you.
KS3 Revision Maths Quiz: Wimbledon
This is an activity I have used with KS3 and they really enjoyed it.
Print the powerpoint slides off and stick hem around the room (the bigger the space the better!).
Students work in pairs to answer the questions on the answer sheet using the information around the room.
Requires knowledge of various maths topics, and bonus questions allow for some differentiation. Topics include: ratio, substitution, pictograms, averages, number operations, probability, two way tables, area and volume etc.
Let me know what you think and ways I could improve it.