Worksheets comprehensively covering quadratic graphs from the basics. It comes with three years access to activebook an online, digital version of your textbook. Write down the values of x where the line v 5 cuts the curve y give your answers correct to 1 decimal place. This includes using them to estimate the solutions to equations to their use in real life situations. Differentiated lesson that covers all three graph types recognising their shapes and plotting from a table of values. Starter task requires students to sketch linear graphs from a table of values. Examstandard questions and model answers on quadratic graphs, for aqa gcse higher 2015 gcse 91 specification. Drawing quadratic graphs aqa higher practice sheets.
New grade 1 9 gcse revision cards available autumn term 2016. Centre number candidate number surname other names candidate signature. Place your mouse over the image and scroll down to reveal the answer. Readytouse mathematics resources for key stage 3, key stage 4 and gcse maths classes. Sketch the graph of, labelling the turning point, the. Pencil, pen, ruler, protractor, pair of compasses and eraser you may use tracing paper if needed guidance 1. We have a collection of videos, games, activities and worksheets that are suitable for gcse maths or igcse maths. Gcse maths solutions, examples, worksheets, videos, games. If the equation has just one solution a repeated root then the graph just touches the xaxis without crossing it. In addition to the resources listed below, see my blog post introducing algebra for more ideas.
The basics the graph of a quadratic function is a parabola. All quadratic functions have the same type of curved graphs with a line of symmetry. This page includes a video that looks at gradients and graphs. A quadratic graph is produced when you have an equation of the form, where and can be zero but cannot be zero all quadratic graphs have a line of symmetry. The graph of a quadratic function is a ushaped curve called a parabola. Gce maths revision section looking at quadratic equations. These are probably the most complicated equations youll meet at gcse maths. I have provided fullyworked solutions in which i have used colour to help.
Quadratic equations gcserevision, maths, numberand. Plotting graphs and solving related equations igcse gcse. Quadratic, cubic and reciprocal graphs worksheet rag. Plotting quadratic and harder graphs worksheets, questions and revision. In graphs of quadratic functions, the sign on the coefficient a affects whether the graph opens up or down. Answer the questions in the spaces provided there may be more space than you need. The vertex is either the highest or lowest point on the graph depending on whether it opens up or down. Linear and quadratic graphs exercises studysmarter question 4 for each of the following quadratic equations, nd 1. Diagrams are not accurately drawn, unless otherwise indicated. Quadratic graphs higher tier for this paper you must have.
The graph of the quadratic function has a minimum turning point when and a. Copy and complete a table of values and plot a quadratic graph. The algebraic expression must be rearranged so that the line of symmetry and the orthogonal axis may be determined. The corbettmaths video tutorial on drawing quadratic graphs. Sketch a graph on the axes below that shows y uk x3. Gcse mathematics key topic practice sheets drawing quadratic graphs edexcel higher these questions are suitable for higher tier students. To draw a quadratic graph from its equation, you need to calculate and plot points. Dfm is a huge bank of free educational resources for teaching mathematics, with full sets of slides, worksheets, games and assessments that span year 7 to further maths and enrichment resources with a maths challengeolympiad focus. An introductory activity in which students must match the equations to the given linear and quadratic graphs and use these to solve a range of given equations. You will need to register for a tes account to access this resource, this is free of charge. Youll get many more marks in exams when you do dont worry why theyre called quadratic it basically means involving squared powers. A quadratic graph is produced when you have an equation of the form, where and can be zero but cannot be zero. This website and its content is subject to our terms and conditions. Drawing quadratic graphs for gcse teaching resources.
Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, hb pencil, eraser. This page lists recommended resources for teaching algebraic topics at key stage 34. How to solve quadratic equations by factorising, solve quadratic equations by completing the square, solve quadratic equations by using the formula and solve simultaneous equations when one of them is quadratic. If the parabola opens down, the vertex is the highest point. However, the way that we plot them will be the same. Fill in the boxes at the top of this page with your name, centre number and candidate number. Drawing quadratic graphs edexcel higher these questions are suitable for higher tier students all questions should be done without a calculator model answers. The first type of graph we will see is a quadratic.
A collection of 91 maths gcse sample and specimen questions from aqa, ocr, pearsonedexcel and wjec eduqas. Huge thanks to all individuals and organisations who share teaching resources. Gcse mathematics non calculator paper total practice paper style questions topic. Use graphs to solve quadratic equations use graphs to solve cubic equations. There are 6 quadratic graphs worksheets below ranging from gcse grade 3 up until gcse grade 8. Edexcel gcse mathematics linear 1ma0 drawing quadratic graphs materials required for examination items included with question papers ruler graduated in centimetres and nil millimetres, protractor, compasses, pen, hb pencil, eraser. Plotting quadratic graphs using coordinates go teach maths. There are 6 quadratic graphs worksheets below ranging.
Quadratic graphs have equations of the form nuffield foundation. If the graph of the quadratic function crosses the xaxis, the values of at the crossing points are the roots or solutions of the equation. Quadratic graphs worksheets practice questions and. Positive quadratic graphs where are ushaped and have a turning point at the bottom of the curve. We are working hard on a new platform for setting, building and monitoring homework. Plotting quadratic and harder graphs worksheets mme. Concepts that you will need to know for the gcse maths.
Weve seen how to draw straight lines drawing straight line graphs revision, so now were going to look at the weirder, curvier, more interesting kinds of graphs. Pearson edexcel international gcse in further pure. Read each question carefully before you begin answering it. Using the equation yx2x5, draw a table of coordinates from x2 to x3. Gcse quadratic graphs worksheets teaching resources. Posts about quadratic graphs written by corbettmaths. A parabola for a quadratic function can open up or down, but not left or right. Gradients gcse maths revision looking at gradients and equations of a line, graphs and curve. Plotting quadratic graphs using coordinates go teach. These topicbased compilations of questions from past gcse papers are supplemented by new questions which have not yet been asked, but which could be. This worksheet is designed to cover one question of each type seen in past papers, for each. Edexcel gcse mathematics a higher tier 1ma01h you must have. Thank you for buying this edexcel international gcse 91 mathematics a student book 1.
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