Algebra teaching resources: Quadratics graphs

Resources and ideas for mathematics, algebra, quadratics graphs, written by teachers to support teaching and learning

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New 9-1 GCSE Maths Grade 8/9 target - Algebra

New 9-1 GCSE Maths Grade 8/9 target - Algebra

What’s in this pack?This pack contains 48 exam style question cards covering the new curriculum for the top grades of the new gcse in algebra. The design of a card means you can use these in a variety of ways in your classroom; as a starter or a plenary, as extension work, as homework or as a revision tool. An answer key is included.The questions feature some challenging topics including rearranging fractional equations, expanding more than one brackets, manipulating and solving algebraic fractions with both addition and division, algebraic proofs that include some well known theories, as well as some rewriting of equation questions, factorising, completing the square and solving of quadratic equations and inequalities where the coefficient of x^2 is greater than one, as well as where the question is set up through scenarios, finding the nth term of quadratic sequences and working with the Fibonacci sequence, working with quadratic simultaneous equations, composite and inverse functions, and a variety of graph transformation questions. Topics are as follows:-Rearranging Equations-Binomials-Algebraic Fractions-Algebraic Proof -Quadratics Sequences-Quadratic Inequalities -Simultaneous Equations -Functions -Transformations

By LittleStreams

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C1 Revision Notes

C1 Revision Notes

This is for Core 1, AS Maths. Originally created for the Edexcel exam board but applicable to other exam boards too.The following topics are covered:-Coordinate Geometry (shown on image)-Curve Sketching and Graph Transformations-Differentiation and Integration-Indices-Inequalities-Quadratics-Sequences-Surds

By mrehmani123

Domain and Range of Quadratics Digital Activity

Domain and Range of Quadratics Digital Activity

Students practice finding the Domain and Range of Quadratics in this quick and easy Drag and Drop activity in Google Slides for Google Drive or Microsoft One Drive. Students look at each graph and determine which of the pieces correctly identify the Domain and Range and either move the piece to the appropriate place with a mouse, cut and paste in position or use a touchscreen to drag. On the accompanying Google Sheets (if you choose to use the link) Students can type in the letter of the range for each numbered equation and check if they are correct. I give my students the link to check when they have finished placing all the pieces. If their answer is correct, the space on the sheet will change color. If the answer is wrong, no change. Links to both are included as well as an answer key and detailed instructions on how to upload and share with students.

By linda92324

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Algebra: Sequences Bundle (6 Lessons - perfect for GCSE / IGCSE)

Algebra: Sequences Bundle (6 Lessons - perfect for GCSE / IGCSE)

All lessons come with a starter, learning objectives, key words, plenty of teaching slides/examples, questions or worksheets with answers and plenary. This is part of a bigger bundle on sequences / series, that can be purchased with additional A-Level lessons. The bundle contains the following: 1. Introduction to Linear Sequences 2. Linear Sequences in Diagrams 3. Quadratic Sequences 4. Other Sequences and Problems 5. Fibonacci Sequence, Golden Ratio and Spiral (one of the reasons I become passionate about mathematics!!) 6. Arithmetic Sequences or Series NOTE: Feel free to browse my shop for more excellent free and premium resources and as always please rate and feedback, thanks.

By ajf43

Stationary points

Stationary points

Lesson with annotated worked example on finding and sketching the stationary points of a curve. Questions to try included.Card sort activity contains 24 different card which need to be sorted into 8 sets which include an equation of a line, a gradient function and the stationary point. Print the slides off 6 per page and cut out.Aimed at Level 2 Further Maths GCSE but can be used for C1 too.

By STremlett

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Simultaneous Equations GCSE Revision or Whole Lesson

Simultaneous Equations GCSE Revision or Whole Lesson

Written by an Outstanding practitioner from an Outstanding School. Comes complete with exercises and in depth answers. In depth solutions to questions ideal for whole lesson or revision. Slides can be printed as revision hand out. Great for whole lesson or quick fire revision. This resource contains:1) A 17 slide power point containing explanation, questions and in depth answers/solutions on:a) Solving Simultaneous Equations (Elimination Method).b) Solving Simultaneous Equations (Substitution Method).c) Solving Simultaneous Equations Linear and Quadratic (Substitution Method).2) 3 Exercises/questions on the below 3 points: The exercises are on the power point and on a word document for you to choose how to use them.a) Solving Simultaneous Equations (Elimination Method).b) Solving Simultaneous Equations (Substitution Method).c) Solving Simultaneous Equations Linear and Quadratic (Substitution Method).3) Full in depth answers to the above 3 exercises, this is fantastic tool for support and extension. The answers are on a word document, great for you and your students to check answers and use as a guide to support and differentiate.4) 3 Exam Questions with Mark Scheme.There is minimum 2 hours worth of lesson resources.Kindly review after purchasing. Thanks.Great for revision or whole lesson, lots of questions with answers.

By Shamster

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Quadratic GCSE Revision or Whole Lesson

Quadratic GCSE Revision or Whole Lesson

All Quadratics covered, written by an Outstanding practitioner from an Outstanding School. Great for whole lesson or quick fire revision. As it is very detailed it can be used for revision lessons or whole lessons. Can be printed and used to provide revision material to students. This resource contains:1) A 23 slide power point containing explanation, questions and in depth answers/solutions on:a) Drawing quadratic graphs. b) Factorising and solving quadratic Equations. c) Completing the squared) Solving quadratic equation after completing the square.e) Solving quadratic equation using the quadratic formula. f) Sketching and using the Discriminant.2) 6 Exercises/questions on the below 6 points: The exercises are on the power point and on a word document for you to choose how to use them. a) Drawing quadratics. b) Factorising and solving quadratics. c) Completing the squared) Solving after completing the square.e) Solving using the quadratic formula. f) Sketching and using the Discriminant.3) Full in depth answers to the above 6 exercises, this is fantastic tool for support and extension. The Answers are on a word document,great for you and your students to check answers and use as a guide to support and differentiate. There is 3 hours worth of lesson resources. As it is in depth can be used for revision or whole lessons.Kindly review after purchasing. Thanks.

By Shamster

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Additional Bundle (GCSE Revision Recent Bundle)

Additional Bundle (GCSE Revision Recent Bundle)

£20 pounds resources at a bargain price. The Great Bundle with Resources Created Recently. Great for whole lesson or quick fire revision. 1. Function Machine 2. Simultaneous Equations (Elimination/Substitution) (Exercises come with step by step answers) 3. Quadratic Equations (Factorising/Complete the square / formula) (Exercises come with step by step answers) 4. Direct Proportions 5. Factor Theorem Dividing Polynomials for Year 12 AS Maths 6. Sine / Cosine Rule (Advanced Trig) (Exercises come with step by step answers) Great for Revision or Whole Lesson.

By Shamster

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Algebra Bundle 20% off

Algebra Bundle 20% off

A bundle of my algebra premium resources, Algebraic Fractions, Compositie Functions, Iterations, Equations of Linear Graphs,, Substitution, Roots and Turning Points.All fully differentiated and suitable for new curriculum with plenty of problem solving, reasoning ect. Soltions for all tasks included.

By IanBrennan

Linear, Exponential and Quadratic Function and Graph Matching Game

Linear, Exponential and Quadratic Function and Graph Matching Game

I break my students into pairs, have them cut out the squares and sort the expressions based on the headings Linear, Exponential and Quadratic. Then I have them glue their categories to a piece of colored paper. I choose the best looking ones and hang them on a bulletin board in my classroom.This activity is 2 pages long.

By flippyfeets

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Quadratics Test or Test Review Version 1

Quadratics Test or Test Review Version 1

I use these guided notes in conjunction with the Mathematics Vision Project Secondary Math 2 curriculum, Structures of Expressions (Module 2). Topics this covers are: vertex, standard and factored form of quadratics, factoring quadratics, completing the square to solve quadratics, finding the vertex, x and y-intercepts, the axis of symmetry of a parabola. I use this as a test review and then I use the document entitled Module 2 Test as the actual test. I give this to the students in my class to work in small groups to come up with the answers then I bring the whole class together and we work out the problems together to ensure they understand the concepts.Solution key included. 4 pages total.

By flippyfeets

300 generic activities.  Create lessons in seconds!

300 generic activities. Create lessons in seconds!

Create lessons in seconds with this HUGE PowerPoint of animated lesson activities. There are HUNDREDS of templates that you can over-type in seconds to create engaging lesson material. Highly praised by John Simpkin of Spartacus Educational and Mark Warner of Teaching Ideas. I am very confident you will like this. If you do, please click on my profile to see my other popular resources. Thanks(This file also has a bank of PowerPoint timers - it's the most useful planning tool ever!) The size of the file should show you how much stuff there is! Without sounding overly confident - it's the best resource out there!Many thanksCopyright T.TaylorNOTE: Following its success in the summer sale, I have decided to keep the sale price - so grab a bargain! Used to be £5. Many thanks.

By whizzbangbang

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Real Life Graphs

Real Life Graphs

Real Life Graphs 31 Power Point Slides with differentiated Real Life Graphs. Colourful and different scenarios to check understanding of context and the real world.Great for quick revision or whole lesson.

By Shamster

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Quadratic Graphs GCSE Revision or Whole Lesson

Quadratic Graphs GCSE Revision or Whole Lesson

Excellent step by step resource to draw Quadratic Graphs. Starts off with ensuring students can substitute in to a equation. There is a DEMO on how to complete the table. There is also a demo to show how to complete the tables of values. There is a also another animation to SHOW THE STUDENT HOW TO DRAW THE GRAPH. Written by an outstanding practitioner.This is great for revision or whole lessons.

By Shamster

KS3 Maths Mental Starters:  Algebra - Graphs

KS3 Maths Mental Starters: Algebra - Graphs

Here we have five bright and colourful Powerpoint Mental Starters from our popular series. Each starter has 20 questions, where the answer follows each question.The titles for these Mental Starters are:Linear Graph EstimatesLinear Simultaneous Equation GraphsQuadratic Graph EstimatesQuadratic GraphsStraight Line Graphs

By Magictrickster

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C2 AS Level Maths Core 2 - Chapter 1 Factor and Remainder Theorem

C2 AS Level Maths Core 2 - Chapter 1 Factor and Remainder Theorem

AS Level Mathematics (Pearson / Edexcel Exam Board)Chapter 1 Factor and Remainder Theorem Resources are written by an Outstanding Practitioner. - Factor Theorem - Remainder Theorem - Dividing Polynomials- Simplifying Expressions - Exam Questions and Answers There is 3 Lessons (150 Minutes worth of resources)- 2 Power points, full of questions and step by step answers. - Exam Questions with Answers. Kindly review once purchased.

By Shamster

Algebra: Sequences 3 - Quadratic Sequences

Algebra: Sequences 3 - Quadratic Sequences

This lesson is on quadratic sequences and goes through two methods to solve quadratic sequences. One method builds on their understanding of linear sequences as well, which is helpful. The other builds on their understanding of substitution and simultaneous equations. I teach both methods even though the majority of pupils will adopt the first method. I have found that giving pupils more understanding and methods, does pay dividend in the long run. The lesson comes with a starter, learning objectives, key words, plenty of teaching slides/examples, questions with answers and plenary. This is part of a bigger bundle on sequences / series, which can either be purchased with or without the additional A-Level lessons. The bundle comes at discount, and contains the following:1. Introduction to Linear Sequences2. Linear Sequences in Diagrams3. Quadratic Sequences4. Other Sequences and Problems5. Fibonacci Sequence, Golden Ratio and Spiral (one of the reasons I become passionate about mathematics!!)6. Arithmetic Sequences or Series7. Sum of Arithmetic Sequences (A-Level)8. Geometric Sequences or Series (A-Level)9. Sum of Geometric Series (A-Level)10. Sum of Infinite Series (A-Level)NOTE: Feel free to browse my shop for more excellent free and premium resources and as always please rate and feedback, thanks.

By ajf43

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Graphs GCSE Revision

Graphs GCSE Revision

Very detailed lessons can be used for whole lessons or revision. Gradients and Y intercept of Straight Line Graph(Power Point Based Lesson) This also contains a FANTASTIC Straight Line Graph TOOL so students can explore graphs and work out gradients and y intercept. You type in the Gradient and Y intercept it draws the graph for you, you can do several so you can compare graphs example parallel lines. Quadratic Graphs drawn from table of values. (Power Point Based). Straight Line Graphs (Power Point Version) Straight Line Graphs (Smart Notebook Version)

By Shamster

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New GCSE Maths 9-1 Revision Pack With Solutions- Target Grade 5 "one-page wonder"

New GCSE Maths 9-1 Revision Pack With Solutions- Target Grade 5 "one-page wonder"

New for 2017! A pack of 5 Revision sheets/tests for the new GCSE 9-1.Each one contains 30 different questions based on the specifications for the new GCSE, all fitted onto one double sided A4 sheet. Great for keeping photocopying down whilst practicing loads of exam style questions!Topics covered include those new to the Foundation curriculum plus some included in the Higher curriculum, and are aimed at students targeting grade 5. Hence this pack is suitable for top end Foundation students and also for great for grade 5 and general revision for Higher students. Solutions are also included. There is a record sheet (which can be used as a revision list) for each pupil to record their score after each attempt and try to beat it the next time! Each worksheet has similar questions & key skills but with new examples each time in order for students to build confidence, fluency, and consolidate their learning. Answers for all questions are provided, ideal for revision. (PDF files)

By ambowers2

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Straight Line Graphs GCSE Revision or Whole Lesson

Straight Line Graphs GCSE Revision or Whole Lesson

Straight line graph lesson written by an outstanding practitioner who leads on Mastery. The extension part of the lesson is on non straight line graphs (Quadratic and Cubic Graphs). The resource contains:1 Power Point presentation contains 38 slides, visual and interactive, checks understanding. 5 Worksheets with answers. Choice of Grids to use -10 by 10 or -18 by 18. The lessons start with making sure students have the necessary understanding of multiplying negative and positive numbers. It ensures that students can substitute in to an expression. The resource contains worksheets with answers. It also has slides to check students understand parallel lines, gradients and y intercept. Power point animations used to show how a graph is plotted.

By Shamster

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Algebra GCSE revision Resources

Algebra GCSE revision Resources

This bundle contains a variety of different activities, games and worksheets to support GCSE revision. If bought independently, the ten resources would cost £34, but we are offering it for £19.99, a saving of over 40%. Included in this bundle are: - Algebra Task Cards - 24 questions differentiated 4 ways on a variety of algebra topics from patterns, to writing and solving equations (solutions Included) - Linear Equations Rummy Card Game (solutions included) - Quadratic Rummy Card Game (solutions included) - Rearranging Equations Race Card Game (Solutions Included) - Substitution Bingo (Solutions Included) - Combining Terms Follow Me Cards (Solutions Included) - Solving Linear Equations Follow Me Cards (Solutions Included) - Straight Line Graphs Worksheets (Solutions Included) - Patterns and Sequences Worksheets for practising sequences and nth term. A final sheet offers a challenge for the new higher paper of the 9-1 GCSE. (Solutions Included) - Manipulating Algebra Worksheets for practising combining terms, substitution and factorising & expanding brackets. (Solutions Included). Also included for your convenience are three of our free items - our free task card sampler (providing a further 8 questions, 32 cards), simplifying terms card game, and posters on straight line graphs.

By LittleStreams

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Physics Models for KS3 and KS4.  Maths 'Data'

Physics Models for KS3 and KS4. Maths 'Data'

A suite of active models for pupils to explore.Each have carefully guided investigations. A suggested order of increasing difficulty is:Coffee Cooling, Bouncing Balls, Free Fall Sky Diving, Ski Jacket Designer and then Projectile. The latter will take several lessons.There is much practice for the Data aspects of maths too - purely by using the skills to complete each task.Free Fall has a detailed solving of a quadratic equation which takes into account buoyancy, gravity and the density of air. This particular sheet will be for the most able.

By MountainSkyTeacher

Free Fall - Terminal Velocity.  Physics KS3/4.  An active model.  Model 3 of 5

Free Fall - Terminal Velocity. Physics KS3/4. An active model. Model 3 of 5

This is a model of how a SkyDiver falls and approaches Terminal Velocity.It is aimed at Science /Physics Pupils in KS3/4.There are two models. Pupils can alter SkyDiver Mass(kg) and their 'drag factor'. They instantly see what effect this has on the drop curve.There is plenty of practice of being able to read and interpret xy scattergraphs. All pupils are asked to take readings from the graph, which they may use to make their own graph of, elsewhere. Brighter pupils may be invited to calculate the acceleration at each point - and comment on the results.The maths of the models is not engaged with - unless the teacher decides to. One model is based on a quadratic equation. The table of values is hidden - but a worksheet is provided which covers how the quadratic is solved for velocity. That page also details what is included in the model to make it realistic.In addition to the earlier models, pupils are asked to investigate the graph more closely. Further discussion pointers are included in consideration of the accuracy of the models and the nature of Physics equations as a whole. Some helpful consideration is provided for teachers about how this model /simulation can be used.This file is the third of five models - it builds on skills learned in the Coffee Model and Bouncing Balls models. The next models increase in the complexity of work to be done by pupils. Each of the others require the pupils to record significant data from the models. They are asked to consider the data, consider the models accuracy.The files internal structure and data is protected from casual mistakes - but not password protected. So teachers can easily add that protection if they wish. Doing it this way enables the teachers (and brighter pupils) to alter the modelling equations.

By MountainSkyTeacher

NEW MATHS GCSE Grades 6 - 9 Mathonopoly

NEW MATHS GCSE Grades 6 - 9 Mathonopoly

To give a bit of variety to revision for Year 11s, I have made a new version of my Mathonopoly game, this time focused on grade 6 to 9 topics for the new Edexcel GCSE.As with my other versions, students start with 200 points and work their way around the board. When they land on a 'property' they answer that question card. If they get it correct, they get to 'buy' the property for the number of points on the card. All other Monopoly features apply - I have made my own Chance and Community Chest cards with references to my school policies and/or my class so you might want to edit these. Haven't used it yet so please let me know if you spot any errors and I'll edit it. Hope this provides some entertainment in what can be a slightly dull, full on time for Year 11!

By dannytheref

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AS Maths Bundle (C1: Ch2 & Ch3) and (C2: Ch1 & Ch2)

AS Maths Bundle (C1: Ch2 & Ch3) and (C2: Ch1 & Ch2)

Core 1 - Edexcel / Pearson Exam Board Chapter 2 (Quadratics) - Drawing Quadratics. - Factorising and Solving Quadratics. - Completing the square and Solving Quadratics. - Using the formula and Solving Quadratics. - Sketching Quadratics and Using the Discriminants. - Exercises include Step by Step answers. Chapter 3 (Simultaneous Equations) - Solving by Elimination Method - Solving by Substitution - Solving by Substitution - Linear / Quadratic - 3 Exam Questions with Mark Scheme - Exercises include Step by Step answers. Core 2 - Edexcel / Pearson Exam Board Chapter 1 - Factor Theorem - Remainder Theorem - Dividing Polynomials - Simplifying Expressions - Exams Questions and Answers Chapter 2 - Sine Rule - Cosine Rule - Sine Rule Area - Worked through exam questions. - Exercises include Step by Step answers. Written by an Outstanding Practitioner. Kindly Review after purchasing.

By Shamster

Roots and Turning Points

Roots and Turning Points

A series of lessons (2-3) on finding the roots and turning points equations. It recaps the skills required such as solving, factorising and completing the square on a quadratic and then develops these skills to find roots and turning points of an equation. There are plenty of reasoning tasks suitable for the new curriculum and this stretches the more able to understand the properties of graphs. There are also algebraic questions and links it to sketching graphs.All tasks are differentiated to 3 or 4 levels to allow the skill to be practiced and then to stretch and challenge the more able. All tasks have either worked solutions or typed solutions so that the pupils can self mark. This has been used with top set year 11, all pupils engaged and made good progress.

By IanBrennan