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.

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 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 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.

An interactive geogebra applet that aids the modeling (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 scafolding 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 also attached so you can use the applet in any web browser.

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.

Scroll through the examples and press 'start' to start the event scrolling up and down the probability scale. Invite students to the board to click the screen to stop the even 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. Includes student activity worksheet.

I've always struggles to show students how subtraction works as a balance as it can't be visulaised, until now!Keep the balance of the scales by adding or subtracting content from both sides. Do this by clicking on the 1's or x's at the top to add on and on each side of the balance to remove them. Pop the balloons by adding weights to both sides (sound effects included!)

Starts by finding LCMs and HCFs by listing and extends to using prime factors and Venn diagrams to calculate LCMs and HCFs. Scroll through the PowerPoint using the navigation buttons. Reveal the covered factor trees by clicking on the covers and click the end branches of each tree to select the prime factors. Once all end (prime) numbers have been found use the show/hide button to reveal the Venn diagram. Click on the prime factors again to place them into the Venn diagram. Click on the LCM or HCF to reveal the answers.

An interactive PowerPoint to model solving quadratic and cubic equations using trial and improvement. Use the +/- buttons on each row to change the input and click on the x number shown to watch it dynamically substitute. Click on the blank parts of the table to reveal the substituted parts evaluated. Using the +/- button on the next row, modify the input and substitute again by clicking on the number shown and repeat the process. If more table is needed, click clear.

An interactive PowerPoint that models the three views of a 3D object. Use the navigation buttons to scroll through the examples and use the plan, side and front buttons to show the object rotate into the correct position. Before revealing, invite students to the board and ask them what the views might look like by clicking on the square grid. I have attached some questions also.

A big PowerPoint that is fully interactive and models both doing and describing all transformations. I have also added in a lesson plan for instruction how to use. Fully interactive with dynamic examples.

A PowerPoint modelling how to construct a triangle given two side lengths and one angle. Includes non-unique triangles (SSA).

Models how to find the area of a triangle by converting it into a parallelogram. Fully interactive and dynamic examples.

An interactive PowerPoint and worksheets that model 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.

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.

An interactive PowerPoint that models how the rate of change changes over time in the context of filling containers with water. Select the container set and fill them up using the control buttons to show their corresponding graphs.

A PowerPoint modelling how to construct a triangle given two angles and a side length.

An interactive PowerPoint that uses prime factor trees and Venn diagrams to model how to calculate the LCM and HCF. Uncover the end branches by clicking on the covers, click on the end branches to select the prime factors, show the Venn diagram and click on the selected factors to place them in the Venn diagram.

Scroll through the first few slides to introduce a cuboid (hover over the pictures to reveal the properties and click on the boy pushing over the rectangle to revel transform a rectangle into a cuboid). Break down the layers of the cuboid examples by clicking on the x, y, z buttons to see the layers separate and questions students on the associated multiplications and the commutative properties of multiplication. When the cubes can't be seen, hover over the faces of the cuboid examples to reveal the cubes and click the covers to reveal the answers.