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.

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.

An interactive geogebra applet that models graphically and numerically how the a recursive definition 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 sequence converges. 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.

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.

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.

An interactive geogebra applet that enables the user to input their own inequalities and objective functions in any linear programming problem and solve it graphically. Add an inequality/objective function using the controls and drag the points to the desired co-ordinates to create the boundary line then click up/down to shade the desired inequality. Find all points of intersections via the click of a button and drag the objective function to leave a trace and revel the optimum vertex (i.e. the ruler method referred to in many A level texts). Auto zoom and fitting for easy class use and to model a clear solution. Some pre-defined questions are included if you want to use them to model with. I have also attached a worksheet i have used with my own A-level students to practice using this technique. 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.

An interactive geogebra applet that enables the user to graph any number of user defined inequalities on the same set of axes. Add an inequality using the controls and drag the points to the desired co-ordinates to create the boundary line then click up/down to shade the desired inequality. Once all inequalities are added use the show overlap button to real the correct region satisfying all inequalities. Auto zoom and fitting for easy class use and to model a clear solution. Some pre-defined questions are included if you want to use them to model with. 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.

A fully interactive geogebra presentation. Generates examples of all circle theorems that can be manipulated dynamically to reinforce that the relationships are always maintained despite how each theorem can appear visually. Modeling of all proofs are also included and differentiated questions can be generated for whole class participation or to create a worksheet of your own. See the attached images for examples and how the controls work. 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 any web browser. I have also included some worksheets I made.

An interactive geogebra applet that aids modeling of drawing Venn diagrams from set notation (as seen in Edexcel 1MA1). Use buttons to generate a new question and click on each set to show the shading on the Venn diagram. Start when the most colours overlap and work back from there. A differentiated worksheet 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.

An interactive geogebra applet that aids modeling calculating the equation of a tangent to a circle. Use the slider to set the centre (differentiated with (0,0) or non (0,0) centres) and generate an example using the button. Please note, GCSE only ever need to consider (0,0) centres but this could be used for A level teaching too with none (0,0) centres. Show the working by clicking on the button and then click each line of working to reveal the next line. A differentiate worksheet is 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.

An interactive geogebra applet that aids modeling solving linear inequalities by balancing. Watch the video for demonstration on 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.

An interactive geogebra applet that aids modeling drawing and interpreting pie charts. Click the black buttons to select either drawing or interpreting and genreate a problme by clicking ‘new’. Click on the table to reveal the angles and then click ‘show protractor’ to model using the protractor to mark the angles (the prompts will help you use this). Once the last angle has been draw, it will automatically label the pie chart. A differentiate worksheet is 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.

An interactive geogebra applet that aids modeling using 1/2absinC to calculate the area of a non-right angled triangle. Watch the video for demonstration on 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.

An interactive geogebra applet that aids modeling solving linear equations by balancing. Watch the video for demonstration on 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.

A differentiated interactive geogebra applet that aids the modelling (with solutions) of using the four operations with surds inc. rationalising denominators. 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. 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.

An interactive geogebra applet that models the how to solve quadratic inequalities. The applet generates progressively differentiated examples for modeling with your class. Please see the video for how the use the teaching aid. I have also included a differentiated worksheet 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.

A differentiated interactive geogebra applet that aids the modelling (with solutions) of route planning with algebraic vectors including interleaved with ratio problems as seen is Edexcel 1MA1. Please see the video for how the use this teaching aid. I have also included four 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.

An interactive geogebra applet that demonstrates the how to substitute into expressions and formulas (differentiated progression). Please see the video for how the use the teaching aid. I have also included a two differentiated worksheets. 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.

An interactive geogebra applet that demonstrates the similarities and differences between frequency bar charts and pie charts (often confused by students). Please see the video for how the use the teaching aid. I have also included a differentiated worksheet. 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.

An interactive geogebra applet that aids modeling applying the sine and cosine rules for non-right angled triangles. Generate random missing length or angle questions using the buttons and use the slider to reveal the step-by-step working. 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. Now includes worksheets too!