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Ward309's Shop

I am a full time secondary teacher 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.

I am a full time secondary teacher 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.
Area and prism generator
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Area and prism generator

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An interactive geogebra applet that generates most shapes of interest including… ==>triangles ==>squares ==>rectangles ==>parallelograms ==>trapeziums ==>regular…pentagons,hexagons,heptagons,octagons,nonagons,decagons ==>circles …at the press of a button (use the slider to change shape). Good for use with an interactive whiteboard to practice finding the area. This can then be converted into a prism using the ‘add layer’ button so that students can form the links betweeen area and volume. Keep adding layers to generate the prism or use the ‘generate prism’ button to generate a random depth prism. Each layer can be dragged away from the prism to justify mutliplying by the depth. 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.
Bearings tool
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Bearings tool

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An interactive geogebra applet that generates differentiated bearings questions to model with your class. Solve them by using the interactive protractor or calculate them using parallel line/triangle facts. Show/hide the solutions using the navigation menu. 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.
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.
Transformations tool
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Transformations tool

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An interactive geogebra applet that generates examples (carrying out and describing) of all geometric transformations including… ==>reflections ==>translations ==>enlargements (positive and negative SF) ==>rotations Use with an interactive whiteboard to practice finding carrying out and describing transformations. Use the nagivation buttons to generate examples and carry out the transformation by dragging the green slider. 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.
Dicovering Pythagoras
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Dicovering Pythagoras

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An interactive geogebra applet that allows the teacher (or students on ipads/in computer room if uploaded onto geogebra website) to create right angle triangles using a set number of standard squares. Students can record their trials and try to spot any relationships between the size of the squares that work. An accompanying worksheet and lesson plan to match. You need geogebra installed (free) or use the web applet that does not require geogebra to be installed.
Adding and subtracting fractions visually
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Adding and subtracting fractions visually

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An interactive and dynamic PowerPoint that models how to add and subtract fractions using pictures. Use the 'fraction' buttons to show the visual representation of each fraction and click on each sector to shade it in. Click on 'add/subtract' once to reveal the common denominator shape and again to visually see the fractions adding together.
Pythagoras and trig in three dimensions
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Pythagoras and trig in three dimensions

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Generates a 3D co-ordinate axes by adding an extra dimension onto a 2D gird. Demonstrates how to plot 2 co-ordinates in three dimensions and considers this as the diagonal of a cuboid. Hover the mouse over the pink and orange triangles and press 'play' to see them in two dimensions. Click the covers to reveal the lengths. Extends to generalising the longest diagonal of a cuboid and includes some exam style questions.
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.
Balancing Equations with subtraction (interactive balancing)
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Balancing Equations with subtraction (interactive balancing)

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I've always struggles to show students how subtraction works as a balance as it can't be visulaised, until now!Keep the balance of the scales by adding or subtracting content from both sides. Do this by clicking on the 1's or x's at the top to add on and on each side of the balance to remove them. Pop the balloons by adding weights to both sides (sound effects included!)
Solving by iteration (trial and improvement). Fully dynamic and interactive.
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Solving by iteration (trial and improvement). Fully dynamic and interactive.

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An interactive PowerPoint to model solving quadratic and cubic equations using trial and improvement. Use the +/- buttons on each row to change the input and click on the x number shown to watch it dynamically substitute. Click on the blank parts of the table to reveal the substituted parts evaluated. Using the +/- button on the next row, modify the input and substitute again by clicking on the number shown and repeat the process. If more table is needed, click clear.
2D views of 3D objects
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2D views of 3D objects

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An interactive PowerPoint that models the three views of a 3D object. Use the navigation buttons to scroll through the examples and use the plan, side and front buttons to show the object rotate into the correct position. Before revealing, invite students to the board and ask them what the views might look like by clicking on the square grid. I have attached some questions also.
Constructing triangles SAS
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Constructing triangles SAS

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A PowerPoint modelling how to construct a triangle given two side lengths and one angle. Includes non-unique triangles (SSA).
Area of a Parallelogram
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Area of a Parallelogram

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Models how to find the area of a parallelogram by linking it to the area of a rectangle. Fully dynamic and interactive examples.
Area of a Triangle
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Area of a Triangle

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Models how to find the area of a triangle by converting it into a parallelogram. Fully interactive and dynamic examples.
Creating designs with rotation symmetry
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Creating designs with rotation symmetry

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An interactive PowerPoint and worksheets that model how to complete/create patterns with rotation symmetry using tracing paper. Using the navigation buttons...1)Select the example, 2)Show the tracing paper, 3)Trace the design, 4)Rotate the tracing paper to find the missing parts of the design.
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  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.