Graphs Starters:Graph Picture: Plot the given coordinates then join them up to form a picture. Pie Chart: An exercise in estimating what the sectors of a pie chart represent. Seedy CDs: Interpret data given in the form of a bar chart then create a new bar chart showing the given statistics.
Small images of these Starters    Complete Index of Starters
Curriculum for Graphs:Years 7 to 9Pupils should be taught to model situations or procedures by translating them into algebraic ex Pupils should be taught to recognise, sketch and produce graphs of linear and quadratic functions of one variable with appropriate scaling, using equations in x and y and the Cartesian plane more... Pupils should be taught to interpret mathematical relationships both algebraically and graphically more... Pupils should be taught to reduce a given linear equation in two variables to the standard form y = mx + c; calculate and interpret gradients and intercepts of graphs of such linear equations numerically, graphically and algebraically more... Pupils should be taught to use linear and quadratic graphs to estimate values of y for given values of x and vice versa and to find approximate solutions of simultaneous linear equations more... Pupils should be taught to find approximate solutions to contextual problems from given graphs of a variety of functions, including piecewise linear, exponential and reciprocal graphs more... Years 10 and 11Pupils should be taught to interpret and construct tables and line graphs for time series data more... Pupils should be taught to use the form y = mx + c to identify parallel {and perpendicular} lines; find the equation of the line through 2 given points, or through 1 point with a given gradient more... Pupils should be taught to interpret the gradient of a straight line graph as a rate of change; recognise and interpret graphs that illustrate direct and inverse proportion more... Pupils should be taught to identify and interpret roots, intercepts and turning points of quadratic functions graphically; deduce roots algebraically {and turning points by completing the square} more... Pupils should be taught to {interpret the gradient at a point on a curve as the instantaneous rate of change; apply the concepts of instantaneous and average rate of change (gradients of tangents and chords) in numerical, algebraic and graphical contexts} more... Pupils should be taught to recognise, sketch and interpret graphs of linear functions, quadratic functions, simple cubic functions, the reciprocal function y = with x not equal to 0, {the exponential function y = k^{x} for positive values of k, and the trigonometric functions (with arguments in degrees) y = sin x, y = cos x and y = tan x for angles of any size} more... Pupils should be taught to {sketch translations and reflections of the graph of a given function} more... Pupils should be taught to plot and interpret graphs (including reciprocal graphs {and exponential graphs}) and graphs of nonstandard functions in real contexts, to find approximate solutions to problems such as simple kinematic problems involving distance, speed and acceleration more... Pupils should be taught to {calculate or estimate gradients of graphs and areas under graphs (including quadratic and other nonlinear graphs), and interpret results in cases such as distancetime graphs, velocitytime graphs and graphs in financial contexts} more... Pupils should be taught to {recognise and use the equation of a circle with centre at the origin; find the equation of a tangent to a circle at a given point} more... Pupils should be taught to solve quadratic equations {including those that require rearrangement} algebraically by factorising, {by completing the square and by using the quadratic formula}; find approximate solutions using a graph more... Pupils should be taught to solve 2 simultaneous equations in 2 variables (linear/linear {or linear/quadratic}) algebraically; find approximate solutions using a graph more... Feedback:Comment recorded on the 25 June 'Starter of the Day' page by Inger.kisby@herts and essex.herts.sch.uk, : "We all love your starters. It is so good to have such a collection. We use them for all age groups and abilities. Have particularly enjoyed KIM's game, as we have not used that for Mathematics before. Keep up the good work and thank you very much Comment recorded on the 11 January 'Starter of the Day' page by S Johnson, The King John School: "We recently had an afternoon on accelerated learning.This linked really well and prompted a discussion about learning styles and short term memory." Comment recorded on the 28 May 'Starter of the Day' page by L Smith, Colwyn Bay: "An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. 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Notes:This topic includes algebraic and statistical graphs including bar charts, line graphs, scatter graphs and pie charts. Graphs Teacher Resources:A Show Of Hands: Produce a number of graphs and charts from a quick show of hands. Cartoon Scatter Graph: Place the cartoon characters on the scatter graph according to their height and age. Correlation: Arrange the given statements in groups to show the type of correlation they have. Graph Paper: Flexible graph paper which can be printed or projected onto a white board as an effective visual aid. Graph Plotter: An online tool to draw, display and investigate graphs of many different kinds. Helicopter View: An animated introduction to distancetime graphs. Arial photographs of vehicles moving along a road placed side to side form a graph. Human Graphs: Students should be encouraged to stand up and make the shapes of the graphs with their arms. Human Scatter Graphs: Pupils move to positions in the room according to their data relative to the walls as axes. Hurdles Race: An animated distance time graph to be viewed while a student interprets the graph and comments on the race that produced the graph. Pie Chart Creator: A quick and convenient tool for rapidly creating simple pie charts. Straight Line Graphs: 10 straight line graph challenges for use with computer graph plotting software or a graphical display calculator. Graphs Activities:Cartoon Scatter Graph: Place the cartoon characters on the scatter graph according to their height and age. Circle Equations: Recognise and use the equation of a circle with centre at the origin and the equation of a tangent to a circle. Completing the Square: Practise this technique for use in solving quadratic equations and analysing graphs. Correlation: Arrange the given statements in groups to show the type of correlation they have. Differentiation: Practise the technique of differentiating polynomials with this self marking exercise. Equation of a Line Through Points: Match the equations of the straight line graphs to the clues about gradients and points. Equation of a Straight Line: An online exercise about the equation y=mx+c and the features of a straight line graph. Fill Graph Pairs: If the container is gradually filled with a steady flow of water which heighttime graph would be produced? Function Builder: An interactive function machine for patterns, numbers and equations. Gradient of a Line: Practise the skill of finding the gradients of straight lines by counting squares and dividing rise by run. Graph Equation Pairs: Match the equation with its graph. Includes quadratics, cubics, reciprocals, exponential and the sine function. Graph Match: Match the equations with the images of the corresponding graphs. A draganddrop activity. Graph Patterns: Find the equations which will produce the given patterns of graphs. Graph Plotter: An online tool to draw, display and investigate graphs of many different kinds. Pie Charts: Develop the skills to construct and interpret pie charts in this selfmarking set of exercises. Plotting Graphs: Complete a table of values then plot the corresponding points to create a graph. Plotting Scatter Graphs: Plot scatter graphs from data representing a number of different everyday situations. Reading Graphs and Charts: Answer reallife problems from different types of graphs and charts including piecewise linear graphs. Travel Graphs: Test your understanding of distancetime and speedtime graphs with this selfmarking exercise. Using Graphs: Use the graphs provided to solve both simultaneous and quadratic equations. Yes No Questions: A game to determine the mathematical item by asking questions that can only be answered yes or no. Graphs Investigations:Function Builder: An interactive function machine for patterns, numbers and equations. Graph Plotter: An online tool to draw, display and investigate graphs of many different kinds. Search for Infinity: Manipulate the Lissajou curve to produce a perfectly symmetrical (vertically and horizontally) infinity symbol. Graphs Videos:Human Graph Shapes: Chapel HillChauncy Hall teacher Kelly Overbye demonstrates how she uses Multiple Intelligences, to teach her students about the slope of graphs. [Similar to Transum's Human Graphs] Scatter Graphs: Maths teachers from England construct a scatter graph from their heights and shoe sizes. Straight Line Equations: A tutorial explaining how the graph of a straight line can be sketched from the equation in the form y=mx+c Graphs Worksheets/Printables:Graph Picture Axes: Four sets of axes and coordinates from which reflecting pictures can be drawn. Straight Line Graphs: A challenge to produce the straight line patterns using a GDC or graph plotting software. Graphs External Links:Links to other websites containing resources for Graphs are provided for those logged into 'Transum Mathematics'. Subscribing also opens up the opportunity for you to add your own links to this panel. You can sign up using one of the buttons below: SearchThe activity you are looking for may have been classified in a different way from the way you were expecting. You can search the whole of Transum Maths by using the box below.
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Tuesday, October 24, 2017