51ºÚÁÏ

A differentiated worksheet for higher tier GCSE students for practice of identifying invariant points in compound transformations.

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.

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.

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.

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.

A scaffolded worksheet to practice solving equations using common bases. Includes examples using… Powers on Powers Negative powers Fractional powers No logarithms are needed. Use for higher tier GCSE or A level (Y12) Answers included

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 use the applet in any web browser.

An interactive geogebra applet that models the how to solve quadratic inequalities. The applet generates progressively differentiated examples for modeling with your class. Please see the video for how the use the teaching aid. I have also included a differentiated worksheet with solutions. 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.

A differentiated interactive geogebra applet that aids the modelling (with solutions) of using the four operations with surds inc. rationalising denominators. Please see the video for how the use the teaching aid. I have also included three differentiated worksheets with solutions. 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.

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 demonstrates the similarities and differences between frequency bar charts and pie charts (often confused by students). Please see the video for how the use the teaching aid. I have also included a differentiated worksheet. 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.

An interactive geogebra applet that demonstrates the how to substitute into expressions and formulas (differentiated progression). Please see the video for how the use the teaching aid. I have also included a two differentiated worksheets. 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.

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 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 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.

A differentiated interactive geogebra applet that aids the modelling (with solutions) of calculating angles… ==> in full turns ==> on a straight line ==> in a triangle (including isosceles traingles) ==> Between parallel lines (alternate) ==> Between parallel lines (corresponding) ==> Between parallel lines (supplementary) … and also forming equation using the above facts. Please see the video for how the use the teaching aid. I have also included three differentiated worksheets with solutions. 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.

A differentiated interactive geogebra applet that aids the modelling (with solutions) of calculating pyramid volume and surface area. Please see the video for how the use the teaching aid. I have also included four differentiated worksheets with solutions. 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.

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 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.

An interactive geogebra applet that allows the teacher to plot any function and dynamically reveal the volume of revolution around the x-axis. It calculated the area and volume also. 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.