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Ward309's Shop

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I am a full time secondary teacher and head of department who started teaching in 2004. I love to teach mathematics and try to create interesting and dynamic visual resources to enhance the delivery of my subject. I hope you find my resources useful.

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I am a full time secondary teacher and head of department who started teaching in 2004. I love to teach mathematics and try to create interesting and dynamic visual resources to enhance the delivery of my subject. I hope you find my resources useful.
newton raphson numerical method
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newton raphson numerical method

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An interactive geogebra applet that models graphically and numerically how the newton-raphson method converges towards a root. Change the functions and starting value and generate the sequence with a ‘new iteration’. Show/hide the sequence table and zoom in and out to inspect how the tangents converge. The geogebra applet is attached but if you don’t have it installed then the web link is also attached so you can use the applet in a web browser.
Combining ratios
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Combining ratios

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An interactive geogebra applet that generates differentiated questions and models how to combine ratios using equivalent ratios. Fully interactive presentation. The geogebra applet is attached but if you don’t have it installed then the web link is also attached so you can use the applet in a web browser.
Graphical quadratic simultaneous equations
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Graphical quadratic simultaneous equations

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An interactive geogebra applet that generates a quadratic equation that can be solved using a set of simultaneous equations (one quadratic and one linear). Generate new examples and click the question to change into a more complex example (as seen in 1-9 Edexcel papers). Students need to decide on which linear functions to add to the quadratic graph to solve the equation given. Plot the linear function by clicking on it and use the navigation buttons to show the number of solutions and their value. You either need geogebra installed on your machine or use the web link to use the resource within a web browser without the need to install geogebra.
Angles in polygons (including worksheets)
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Angles in polygons (including worksheets)

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An interactive geogebra applet that aids modeling calculating internal and external angles in polygons or the number of sides a regular polygon has from the internal/external angles. Please see the video for how the use the teaching aid. I have also included two differentiated worksheets. One for internal angles and one for external angles. The geogebra applet is attached but if you don’t have it installed then the web link is also attached so you can use the applet in any web browser.
Drawing cumulative frequency polygons and box-whisker diagrams
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Drawing cumulative frequency polygons and box-whisker diagrams

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An interactive geogebra applet that enables the user to input thier own data and model how to construct a cumulative frequency polygons and box-whisker diagram. Click the buttons to reveal each stage of the constructions and drag the median and quartiles along the polygon to position them correctly. Extend the quartiles using the check boxes to form the box-whisker diagram. The geogebra applet is attached but if you don’t have it installed then the web link is also attached so you can use the applet in a web browser. Worksheets also included on… ==> Drawing and interpreting cumulative frequency polygons ==> Using cumulative frequency to calculate quartiles/medians/IQR ==> Drawing and interpreting/comparing box plots
Solving equations graphically
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Solving equations graphically

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An interactive geogebra applet that aids modeling solving higher oder equations graphically by adding on a linear line onto a quadratic or cubic graph (as seen in Edexcel 1MA1 GCSE questions). Watch the video for demonstration on how to use. A worksheet to practice is also included. The geogebra applet is attached but if you don’t have it installed then the web link is also attached so you can use the applet in any web browser.
Modelling Algebraic fractions
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Modelling Algebraic fractions

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An interactive geogebra applet that generates GCSE style algebraic fractions questions from simplifying with multiplication/division/addition/subtraction to solving equations with algebraic fractions. Use the slider to differentiate the difficulty of questions and click on the working to reveal the next line of the scaffolded solution. Please see the video to see how to use. The geogebra applet is attached but if you don’t have it installed then the web link is also attached so you can use the applet in any web browser.
Simplifying algebraic expressions
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Simplifying algebraic expressions

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An interactive geogebra applet that aids modeling working with algebraic expressions. Use the sliders to set the type and difficulty of question. click the hint button to provide scaffolded working (see video demo for how to use). The geogebra applet is attached but if you don’t have it installed then the web link is also attached so you can use the applet in any web browser.
Defining quadrilaterals using algebraic vectors
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Defining quadrilaterals using algebraic vectors

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An interactive geogebra applet that aids modelling of both vector addition and subtraction with algebraic vectors and using parallel vectors to define quadrilaterals. Please see the video for how the use the teaching aid. I have also included a worksheet of similar questions. The geogebra applet is attached but if you don’t have it installed then the web link is also attached so you can use the applet in any web browser.
Non linear simultaneous equations
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Non linear simultaneous equations

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An interactive geogebra applet that aids modeling of solving linear/non-linear simultaneous equations. Use the sliders to select the example type from… linear/quadratic linear/circle quadratic/quadratic circle/quadratic …and generate an example using the black button. All examples have rational roots so the quadratic formula will not be needed. Click the substitute button to reveal the first line of modeling/working and then click each line of working to reveal the next. The graphs are also shown to reinforce the graphical link of the algebraic process. The geogebra applet is attached but if you don’t have it installed then the web link is also attached so you can use the applet in a web browser. I have attached two versions. One where the circle are limited to (0,0) centers as in GCSE study and one where it is not as in A-level study.
Sector and segment modelling (including worksheets)
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Sector and segment modelling (including worksheets)

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An interactive geogebra applet that aids the modeling (with full worked solutions) of calculating area and perimeter of sectors and segments including undoing these formulas to find a missing angle or radius. Please see the video for how the use the teaching aid. I have also included two differentiated worksheets. One for sector area and one for arc length/perimeter. The geogebra applet is attached but if you don’t have it installed then the web link is also attached so you can use the applet in any web browser.
Length, area and volume scale factors (including worksheets)
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Length, area and volume scale factors (including worksheets)

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An interactive geogebra applet that aids the modeling (with full worked solutions) of using length area and volume scale factors to find missing values. Please see the video for how the use the teaching aid. I have also included two differentiated worksheets (one for lengths and areas and one for length, area and volumes) and a scafolding sheet to support students. These are also previewed in the video. The geogebra applet is attached but if you don’t have it installed then the web link is also attached so you can use the applet in any web browser.
Simultaneous equation creator and solver
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Simultaneous equation creator and solver

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An interactive geogebra applet that creates and solves two sets of linear simultaneous equations dynamically. Drag the vertical slider to reveal the working. Also shows the graphical significance of the solution in an additional window. You must have geogebra installed on your machine or use the web link to use this without needing geogebra to be installed.
Interactive pythagoras question generator and solver
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Interactive pythagoras question generator and solver

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An interactive geogebra applet that generates pythagoras questions. Good for use on an interactive whitebaord or projector. You can generate random length problems at a press of a button as well as specific shorter side/longer side questions. You can hide/reveal the squares in each questions as well as the answer. Please ensure you have geogebra installed on your machine or use the web link to show the applet in a web browser without the need of installing geogebra.
Interactive trigonometry question generator and solver
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Interactive trigonometry question generator and solver

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An interactive geogebra applet that generates right-angled trigonometry questions. Good for use on an interactive whitebaord or projector. You can generate random ‘missing length’ examples or ‘missing angle’ examples at a press of a button as well as specific sin/cos/tan length or angle questions. You can hide/reveal the multiplier in each questions as well as the answer. Please ensure you have geogebra installed on your machine or use the web link to show the applet in a web browser without the need of installing geogebra.
Volume of revolution
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Volume of revolution

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An interactive geogebra applet that allows the teacher to plot any function and dynamically reveal the volume of revolution around the x-axis. It calculated the area and volume also. You either need geogebra installed on your machine or use the web link to use the resource within a web browser without the need to install geogebra.
Venn diagram differentiated question generator
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Venn diagram differentiated question generator

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A simple geogebra applet that generates differentiated questions on populating Venn diagrams with frequencies. If you have geogebra installed on your machine you can open the .ggb file or if not then I have also attached a web link so you can use the applet in a web browser.
Interactive Trapezium Rule (area under a curve)
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Interactive Trapezium Rule (area under a curve)

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An interactive geogebra applet that calculate the area under any user defined curve using integration and using the trapezium rule. Also calculates the percentage error. If you have geogebra installed then please download the .ggb file. If not please use the attached web link to use this applet in a web browser.
Function Transformations (inc compound transformations)
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Function Transformations (inc compound transformations)

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An interactive geogebra applet to aid modelling of transforming functions. ==> Transform any user-defined function using the ‘add transformation’ buttons and the input/output sliders. The function transforms dynamically as the user changes the input/output. ==> Assess you students understanding by generating random transformations and reveal the function. ==> Add multiple compound transformations (in the correct order!) by keep clicking ‘add transformation’. This is usefult with A-level teaching. If you have geogebra installed on your machine please download the .gbb file. I have also attached a web link if you want to use this resource through your web browser instead of installing geogebra.
y=mx+c tool
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y=mx+c tool

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An interactive geogebra applet that aids modeling y=mx+c. Generate random lines or these can be defined by the user. Change the scale and hide/show parallel and perpendicular lines. Hide/show the equations or graphs to assess students understanding of how to go from one to the other. Fully interactive presentation. The geogebra applet is attached but if you don’t have it installed then the web link is also attached so you can use the applet in a web browser.