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.

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.

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.

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.

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 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.

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 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.

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 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 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 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.

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!

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 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 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.

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.

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.