Andrew's maths resources

An interactive geogebra applet that aids modeling of working with linear, geometric and quadratic sequences. This includes… ==> Finding the nth term of all of the above ==> Using the nth term to generate terms in the sequence ==> Finding the term number from a number in the sequence ==> Finding the nth term given two terms in the sequence I have also made additional summation models for A-level teaching which includes all of the above but using A-level notation. Please see the video

Dynamically change the problems in this PowerPoint using the up/down buttons. Click on the +/- symbol to add or subtract the equations and click on the green area to see the equations combine. Reveal the solutions by clicking the covers. See the video for how to use.

An interactive geogebra applet that aids the modelling (with full worked solutions) of using length area and volume scale factors to find missing values. Please see the video for how the use the teaching aid. I have also included two differentiated worksheets (one for lengths and areas and one for length, area and volumes) and a scaffolding sheet to support students. 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 a

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. Proof modelling of all proofs are also included and differentiated questions can be generated for whole class participation or to create a worksheet of your own. This is an interactive geogebra applet but, if you don’t have geogebra installed (free), I have also included the

An interactive geogebra applet that models the how to calculate the discriminant and links this to the graphical representation. Includes reverse discriminant to find a range of k as in A level examination questions. I have also included a differentiated worksheet for independent practice. Please watch the video for how to use the geogebra applet and for a preview of the worksheet. The geogebra applet is attached but if you don’t have it installed then the web link is also attached so you can u

An interactive geogebra applet that aids modelling drawing and interpreting pie charts. Watch the video to understand how to use this teaching aid. A differentiate worksheet is also attached. 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. I have included 5 differentiated worksheets (not all previewed) with solutions on... ==> Simplifying algebraic fractio

Models how to evaluate fractional and neagtive powers. Fully interactive and dynamic examples. Please see the video for how to use (note you must enable macros on the start of the PowerPoint for the interactive power counters to work, see video)

An interactive PowerPoint and worksheets that models how to identify 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 Fully interactive and dynamic PowerPoint. Please see the video for how to use and preview the worksheet.

An interactive PowerPoint and worksheets that models 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. Fully interactive and dynamic PowerPoint. Please see the video for how to use and preview the worksheet.

Scroll through the examples and press 'start' to start the event scrolling up and down the probability scale. Invite students to the board to press the space bar to stop the event 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. Also Includes student activity worksheet. Fully interactive and dynamic PowerPoint. Please see the video for how to use and preview the works

An interactive geogebra applet that enables the user to input thier own data and model how to construct and use the corresponding cumulative frequency polygons and box-whisker diagram. Please see the attached video for how to use. I have also included three differentiated worksheets with solutions on... ==> Drawing and interpreting cumulative frequency polygons ==> Using cumulative frequency to calculate quartiles/medians/IQR ==> Drawing and interpreting/comparing box plots These are a

An interactive geogebra applet that generates examples (carrying out and describing) of all geometric transformations including… ==>reflections ==>translations ==>enlargements (positive and negative SF) ==>rotations ==>Combine transformations including identifying invariant points Please see the attached video for how to use. I have also included a whole bundle (not all previewed) of differentiated worksheets, with solutions The geogebra applet is attached but if you don’t have i

An interactive geogebra applet that enables the user to model how to graph inequalities in two variables (i.e. shading regions). Please see the video to see how to use. I have also included two differentiated worksheets. One for drawing/shading regions and one for identifying regions. Answers are 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 a web browser.

An interactive geogebra applet that aids modelling 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 modelling/working and then click each line of working to reveal the

An interactive geogebra applet that aids modelling 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. 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 attached with solutions. The geogebra applet is attached but if you don’t have it installed then the web link is also attached so you ca

An interactive geogebra applet that aids the modelling of plotting graphs using substitution. Watch the video for demonstration on how to use. A range of differentiated worksheets are also attached with solutions. These include... ==> explicit and implicit linear graphs ==> quadratic and cubic graphs ==> reciprocal graphs ==> exponential graphs 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 b

An interactive geogebra applet that aids modelling of 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. I have also included two differentiated worksheets. One using 1/2absinC forwards and one undoing this (inc. finding obtuse angles)

An differentiated interactive geogebra applet that aids modelling solving higher order equations graphically by adding on a linear line onto a quadratic or cubic graph. Watch the video for demonstration on how to use. A differentiated worksheet to practice is also included with solutions. 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 modelling working with algebraic expressions (collecting like terms, multiplying expressions, expanding brackets, factorising). 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). I have also included 8 differentiated worksheets with solutions. 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