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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.
Identifying Rotation Symmetry
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Identifying Rotation Symmetry

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A fully interactive presentation that models how to identify and check for rotation symmetry using tracing paper. Use the navigation buttons to....1)Navigate throught the examples, 2)Select tracing paper 3)Trace 4) Rotate.
Investigating Circumference and Diameter (Discovering Pi)
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Investigating Circumference and Diameter (Discovering Pi)

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An interactive geogebra applet that enables students to investigate the relationship between the diameter and circumference by measuring the diameter (drag the blue cross), unrolling the circle and measuring the circumference (drag the red cross). Students can zoom in to improve the estimation of pi. Either use by installing geogebra or use the web address also included to use the app through a web browser.
Combining Ratio (As seen in new Edexcel 1MA1 papers 1-9 GCSE)
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Combining Ratio (As seen in new Edexcel 1MA1 papers 1-9 GCSE)

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Two interactive geogebra applets that generate two specific type of combining ratio questions as seen in the first two new Edexcel GCSE papers (1MA0) 1-9. Generate as many examples as your students need and model the solution by using the applet to… ==> Reveal the ratios and thier totals (see cover image) ==> Drag the points to highlight matching ratio parts (see cover image) ==> Generate equivalent ratios using the multiplier finger (see cover image) You can use these if you have geogebra installed but it is not a necessity as I have also attached the web links so you can use the applets in your 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.
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.
Transformations tool (UPDATED)
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Transformations tool (UPDATED)

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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 carrying out and describing transformations. Use the nagivation buttons to generate examples and carry out the transformation by dragging the green slider (see video for usage). You either need geogebra installed on your machine or use the web link (attached) to use the resource within a web browser without the need to install geogebra. UPDATED: Differentiated worksheets also included.
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.
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.
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 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.
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.
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.