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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.
Placing probabilities and fractions on a probability scale (Interactive)
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Placing probabilities and fractions on a probability scale (Interactive)

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Scroll through the examples and press 'start' to start the event scrolling up and down the probability scale. Invite students to the board to click the screen to stop the even in the correct position. Revel the fraction using the buttons and split the probability scale into fractions using the 'fraction' button to see if the even it accurately placed. Includes student activity worksheet.
Forming quadratic equations from probability trees (as seen in Edexcel GCSE 1MA1)
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Forming quadratic equations from probability trees (as seen in Edexcel GCSE 1MA1)

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Fully interactive question generator and solver. Use this to model how to set up and solve worded quadratic equations in the context of a probability tree. Randomly generate questions or specify with/without replacement and same/different colours (see image. Model the solutions line by line by using the controls to reveal each step. This is an interactive geogebra applet but if you don’t have geogebra installed (free) i have also included the web link so that you can use this applet in a 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.
Lowest common multiple and highest common factor  using prime factors (interactive PowerPoint)
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Lowest common multiple and highest common factor using prime factors (interactive PowerPoint)

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Starts by finding LCMs and HCFs by listing and extends to using prime factors and Venn diagrams to calculate LCMs and HCFs. Scroll through the PowerPoint using the navigation buttons. Reveal the covered factor trees by clicking on the covers and click the end branches of each tree to select the prime factors. Once all end (prime) numbers have been found use the show/hide button to reveal the Venn diagram. Click on the prime factors again to place them into the Venn diagram. Click on the LCM or HCF to reveal the answers.
Expanding two linear brackets
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Expanding two linear brackets

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An interactive PowerPoint that uses partitioning (as with numerical multiplication) to expand the product of two linear brackets. Also includes some simple factorising where you can drag-and-drop the correct factors (must enable macros). Click on show/hide to reveal the grid, click on the factors in the brackets in input these into the grid and unhide the expansion by clicking on the covers.
Lowest common multiple and highest common factor (LCM and HCF)
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Lowest common multiple and highest common factor (LCM and HCF)

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An interactive PowerPoint that uses prime factor trees and Venn diagrams to model how to calculate the LCM and HCF. Uncover the end branches by clicking on the covers, click on the end branches to select the prime factors, show the Venn diagram and click on the selected factors to place them in the Venn diagram.
Prime Factorisation
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Prime Factorisation

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A set of interactive examples that model how to create a prime factorisation using factor trees. Click on the number in the tree to shown the next level/branches and click the empty branches to reveal the factors. Once the tree have been fully revealed, click on the end branches to show the prime factorisation.
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.
Modelling plotting graphs (linear, quadratic, cubic, reciprocal and exponential)
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Modelling plotting graphs (linear, quadratic, cubic, reciprocal and exponential)

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An interactive geogebra applet that aids modeling plotting graphs using substitution. Watch the video for demonstration on how to use. A range of differentiated worksheets are also attched. 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.
Area of a Trapezium
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Area of a Trapezium

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An interactive PowerPoint that models how to calculate the area of a trapezium by dynamically converting it into a parallelogram.
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.
Solving quadratic equations (completing the square)
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Solving quadratic equations (completing the square)

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A differentiated interactive geogebra applet that aids the modelling (with solutions) of solving quadratic equations by completing the square. Also links the graphical understanding of the solutions. Please see the video for how the use the teaching aid. I have also included three differentiated worksheets with solutions. These are also previewed in the video. Please note: all examples do not rely on the use of surd simplification as my curriculum sequences this after solving quadratics as most would I would think! 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
Drawing and interpreting histograms
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Drawing and interpreting histograms

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An interactive geogebra applet that aids the modeling of drawing and interpreting histograms. Includes equal class widths (normal bar charts) and unqual class widths (histograms). Please see the video for how the use the teaching aid. I have also included two scaffolded worksheets. 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.
Reading, writing and calculating bearings
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Reading, writing and calculating bearings

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An differentiated interactive geogebra applet that aids the modelling (with solutions) of reading, writing, drawing and calculating with bearings. Please see the video for how the use the teaching aid. I have also included three differentiated worksheets with solutions. These are previewed in the second 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.
Working with map slcales
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Working with map slcales

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An interactive geogebra applet that aids the modelling of using map sclaes as a ratio (with and without units). Please see the video for how the use the teaching aid. I have also included two differentiated worksheets. 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.
Standard form
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Standard form

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A differentiated interactive geogebra applet that aids the modelling (with solutions) of reading, writing and calculating with standard form. Please see the video for how the use the teaching aid. I have also included five differentiated worksheets with solutions. 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.
Solving quadratic equations (formula)
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Solving quadratic equations (formula)

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A differentiated interactive geogebra applet that aids the modelling (with solutions) of solving quadratic equations by using the quadratic formula. Also links the graphical understanding of the solutions. Please see the video for how the use the teaching aid. I have also included a differentiated worksheet with solutions. This is also previewed in the video. Please note: all examples do not rely on the use of surd simplification as my curriculum sequences this after solving quadratics as most would I would think! 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.
Solving quadratic equations (factorising)
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Solving quadratic equations (factorising)

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A differentiated interactive geogebra applet that aids the modelling (with solutions) of solving quadratic equations by factorising. Also links the graphical understanding of the solutions. Please see the video for how the use the teaching aid. I have also included two differentiated worksheets with solutions (one for higher tier GCSE and one for higher tier GCSE). 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.