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 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

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.

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 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 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.

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 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.

Model how to calculate the area of a trapezium using this interactive geogebra applet to dynamically convert it into a prallelogram (rotate using the blue dot). Generate new problems on demand and show/hide the lengths by clicking on them. Show/hide the area/perimeter to reveal the solutions. No need for 1/2(a+b)h with this visual prompt! You can open this using geogebra but if you don’t want to install it you can also use it in a normal web browser using the link included.

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.

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.

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.

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.

A set of interactive geogebra applets that dynamically links displacement, velocity and acceleration graphs. Show or hide the graphs using the controls or click the trace points button and drag the velocity point to slowly reveal the traced graphs. Make as many new examples as your students need. You will need geogebra installed on your machine but this is not a necessity as I have also attached the web links to use these applets in your choice of web browser. I have found this useful for both the new A level and GCSE (1-9 higher) specs. Two student worksheets also included.

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.

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.

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.

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.

A dynamic and interactive probability tree structure generator. Generate questions and create the corresponding tree so students can practice interpreting questions. This is a geogebra applet so you need the application installed or use the web link so you can use within a web browser without the need of installing geogebra

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.