I am a full time secondary teacher and head of department who started teaching in 2004. I love to teach mathematics and try to create interesting and dynamic visual resources to enhance the delivery of my subject. I hope you find my resources useful.
I am a full time secondary teacher and head of department who started teaching in 2004. I love to teach mathematics and try to create interesting and dynamic visual resources to enhance the delivery of my subject. I hope you find my resources useful.
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.
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.
A fully interactive presentation that models how to identify and check for rotation symmetry using tracing paper. Use the navigation buttons to....1)Navigate throught the examples, 2)Select tracing paper 3)Trace 4) Rotate.
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.
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 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 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
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 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.
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.
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.
A set of interactive examples that model how to create a prime factorisation using factor trees. Click on the number in the tree to shown the next level/branches and click the empty branches to reveal the factors. Once the tree have been fully revealed, click on the end branches to show the prime factorisation.
Initially, click on the lego bricks to break them down into smaller percentage proportions. Once all 6 base blocks are revealed, click on them stack up the required percentage. Scroll through the examples and uncover the base building blocks by cliking on the covers. Once all base builing blocks have been revealed, build the required percentage by clicking on each block to stack them up.
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.