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

GCSE Maths Test

GCSE Maths Test

Test on Quadratics (Inequalities, Equation, Solving), Completing the Square, Vectors, drawing Trigonometric Graphs and Exact Trigonometric Values. Check out my other resources for revision materials for these topics, or for bundles and other revision resources!

By kmachnik11

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All Quadratics Worksheet

All Quadratics Worksheet

A premium resource, containing information and step-by-step, easy to follow instructions on how to identify different Quadratics questions.These include, Completing the Square, Quadratic Formula, and Difference of 2 Squares. These are the main quadratics questions at GCSE, and this worksheet will help understand, and put the new knowledge into practise with questions that get progressively more difficult!Fantastic Resource, well worth the price!Please leave a review with a thank you or any improvements!Enjoy!

By kmachnik11

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Simultaneous Equations Revision

Simultaneous Equations Revision

Written by an Outstanding practitioner from an Outstanding School. 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 Revision

Quadratic Revision

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 (Recent Bundle)

Additional Bundle (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

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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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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Graphs Revision

Graphs 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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Quadratic Graphs Revision

Quadratic Graphs Revision

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

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Quadratic and Linear Simultaneous Equations

Quadratic and Linear Simultaneous Equations

To solve a quadratic and linear equation simultaneously students first review the elimination method for two linear equations.The development phase goes on to demonstrate solving the equations as means to calculating the intersecting point between their respective graphs. There are examples provided for the teacher to demonstrate and additional problems for the students.Differentiated Learning ObjectivesAll students should be able to solve a pair of simultaneous equations where one is quadratic and the other is linear through the method of substitution.Most students should be able to find intersecting points from a quadratic and linear graph using the method of substitution to solve equations simultaneously.Some students should be able to find the intersecting point between a reciprocal and linear equation.Check out my blog at mr-mathematics.com for:* Fully planned and differentiated math lessons for KS3 and 1 - 9 GCSE Mathematics lessons* Schemes of work based on pedagogy and teacher support.

By Mr_Mathematics

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Sketching Quadratic Graphs

Sketching Quadratic Graphs

In this mathematics lesson students learn about sketching quadratic graphs by identifying the y intercept, roots and turning point of the parabola. As learning progresses students interchange between solving quadratics using factorisation, completing the square or the quadratic formula.Differentiated Learning ObjectivesAll students should be able to calculate and show the roots of a quadratic in a sketched diagram.Most students should be able to sketch a quadratic graph to illustrate its turning point, roots and y-intercept value.Some students should be able to use sketched graphs to determine the number of solutions to two or more simultaneous equations.

By Mr_Mathematics

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Completing the Square

Completing the Square

The method of Completing the Square is introduced through recognising a need to solve a quadratic when it can not be easily factorized. Throughout the main teaching phase there are numerous examples for the teacher to model plus additional equations to be practiced by the students.Differentiated Learning ObjectivesAll students should be able to solve a quadratic equation in the form ax2+bx+c=0 where a equals 1 using the method of completing the square.Most students should be able to solve a quadratic equation in the form ax2+bx+c=0 where a does not equal 1 using the method of completing the square.Some students should be able to use completing the square to solve equivalent quadratic identities.

By Mr_Mathematics

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Using the Quadratic Formula to Solve Equations

Using the Quadratic Formula to Solve Equations

In the development phase the teacher is provided with several examples to demonstrate solving equations using the quadratic formula for positive and negative values of a, b and c.Further on, the students have the opportunity to practise this for themselves. The plenary involves deriving and applying the formula to calculate unknown lengths when given the area of a trapezium.Differentiated Learning ObjectivesAll students should be able to use the quadratic formula to solve quadratic equations where the coefficient of a = a and are equal to zero. Most students should be able to solve a quadratic equation using the quadratic formula.Some students should be able to derive the quadratic equation by completing the square and use it to solve complex problems.

By Mr_Mathematics

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Equations Revision

Equations Revision

£20 pounds worth of resources at a bargain price. Brilliant Equations Bundle. Great for Revision or Whole Lessons. Contains the tried and tested resources of Equations, Inequalities, Simultaneous Equations, Quadratic Equations and Function Machines. Lots of questions with in depth answers.

By Shamster

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All My Maths Resources Part One

All My Maths Resources Part One

A compilation of every GCSE maths resource I have posted which comes up to 15 separate files and about 20 documents.Save 63% on these by just buying them at once, plus any extra discounts in my shop! I guarantee you will not be disappointed with such a fantastic deal of resources!Fantastic Resources for a very good price!Please leave a review for these afterwards and I hope they come into very good use!

By kmachnik11

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Straight Line Graphs

Straight Line Graphs

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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Inequalities Revision

Inequalities Revision

Algebra inequality (Inequalities) this fantastic resource has linear and quadratic inequalities. Step by step demo with question and answers. Exercise questions come with answers too. Great for whole lesson or quick fire revision as it comes with in depth answers on the power point. Lots of questions with answers.

By Shamster

Equations of Graphs

Equations of Graphs

This booklet contains a selection of questions covering a range of topics for the reformed GCSE Mathematics (9-1) Higher Tier syllabus. The 58 questions in this booklet can be used by both teachers, to show examples of examination style questions in class, and students, for independent revision at home. The answers are particularly useful if students are not secure in certain topics as they show full step-by-step workings. Calculators are not allowed for the questions in this booklet.Topics covered in this booklet are: coordinates in 3D, finding midpoints, finding gradients, finding equations of lines from a range of contexts (a given graph, parallel to, perpendicular to, passing through), finding coordinates of points on a line, identifying properties of lines from equations given, sketching graphs of quadratic functions, finding the turning point of a graph given its function, drawing different types of graphs using tables, exponential functions and their graphs, solving equations graphically, including drawing suitable lines, using rates of change to interprete graphs and linking different types of graphs to their functions.This booklet has excellent examples of questions of the new topics in the reformed GCSE Mathematics (9-1) curriculum.

By mathsmuscateer

Solving Equations (2)

Solving Equations (2)

This booklet contains a selection of questions covering a range of topics for the reformed GCSE Mathematics (9-1) syllabus. For the majority of these questions, students are required to interpret the context and use their reasoning and problem solving skills. The 96 questions in this booklet can be used by both teachers, to show examples of examination style questions in class, and students, for independent revision at home. The answers are particularly useful if students are not secure in certain topics as they show full step-by-step workings. Calculators are allowed for the questions in this booklet.Topics covered in this booklet are: solving quadratic equations using the quadratic formula, solving equations using trial and improvement, solving equations involving algebraic fractions, solving simultaneous equations with one linear equation and one quadratic equation, using graphs to estimate solutions of equations, writing down equations from a given context and forming equations to solve problems related to the cost of products, angles, perimeters, areas, volumes, surface areas, 3D shapes, similar shapes, probability and compound measures. This booklet has excellent examples of questions of the new topics in the reformed GCSE Mathematics (9-1) curriculum.

By mathsmuscateer

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

GCSE Maths Progress Tests

GCSE Maths Progress Tests

A compilation of all of my maths test resources at a very reasonable price. I assure these resources will not disappoint at all, and will help any student, whether foundation or higher, with their revision for their maths exams! With some of my resources there are also mark schemes, so enjoy these to the full and leave a good review too! You'll be saving 50%, plus any other sale in my shop!

By kmachnik11

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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

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

Quadratic Graphs KS4

Quadratic Graphs KS4

A Powerpoint to explain Quadratic Graphs. This powerpoint has 10 slides (Including one title and one end slide). Designed for KS4 / GCSE.Topics covered are:Quadratic GraphsShape of Quadratic GraphsDrawing Quadratic Graphs

By Magictrickster

Factoring MATHO Advanced

Factoring MATHO Advanced

Make a game out of factoring! The resource provides 25 quadratic expressions to factor with a set of 30 MATHO cards. Students work out the problems and play BINGO with the answers. All problems have 'a' values greater than one. Problems are designed to give a variation of different sign patterns. Common Core Standard: HSA.REI.B4

By amyschander