Four “Show that…” questions involving inequalities; this is more about the method and workings than getting the final answer. This should involve good mathematical discussions.
This is designed to encourage students to explain their working rather than just read out an answer at the end. I have given an example of solutions but these are not the only solutions for each. This should encourage discussion too.
Help desperate Food Tech teacher Billy Black with his cake recipes before he's abducted by aliens. Clearly a play on the TV show, but an exercise in simple proportion using amounts of ingredients for recipes - the calculations get progressively more difficult.
Using loci which criminals are caught in each of the four situations. This involves the locus around a point, perpendicular bisector and angle bisector. Have tried to show rough answers too, if it helps.
This sheet starts off with some examples and questions about surds - pretty easy ones to be honest. There is a surds 'joke' at the end to complete. This was an attempt to make surds a little more interesting and to show just how easy they really are.
Describe the term-to-term rules of these then it could be extended to link into nth terms. This is an attempt to show the relationship between the difference and the nth term through comparison and therefore discovery rather than the teacher just saying how it works. I have also thrown in some "famous sequences" that can be discussed.
This is designed to take the students from simple expanding a bracket to simple factorising to multiplying out two brackets to factorising quadratics to simplifying algebraic fractions to solving quadratics by completing the square to solving quadratics using the quadratic formula and simultaneous equations involving quadratics. There are questions for each as well as examples and explanations. Between each section there is a 'Where are you now?' section to show progress.
A sheet where students can pick the section on which they need more work (self-differentiated no less). Ranges from plain old fractions, through functional plain old fractions, through mixed numbers through functional mixed numbers. No bells, whistles, anything like that, just a load of questions. I have added a 'Prove It' sheet so that the class can show you what they can now do.
Real-life problems involving direct and inverse proportion showing students that they don't have to be a mthematical whizz in order to understand the topic.
Batman gets Robin to replace the weapons he uses, but Ironman can only fit a certain number in his suit. This is designed to show reasonably simple tree diagrams with replacement (Batman) and move onto tougher tree diagrams without replacement (Ironman).
If you've done these before it follows the same pattern. If not, you show the screen for 30 seconds, they look in silence (without writing anything). They then get everything down on paper. Show the screen a few more times. Judge at the end. Instructions are on there.
Erica is struggling with many aspects of the A level mathematics course and needs help from your students. What you have here is 17 of her homeworks, each with mistakes in solutions which your students need to find, correct and explain where Erica has gone wrong. These are purely designed to generate discussion and to allow students to demonstrate their understanding, whilst also allowing them to show their own methods of solving problems. These are all based upon the new A level curriculum.
Four “show that…” questions that encourage explanations ahead of final answers (which are already given). These are designed to create discussion and get students to think about the steps they are taking.
This is a powerpoint covering all aspects of sets and venn diagrams required for GCSE. It contains brief notes by way of an explanation, model answers to questions and a question or two for the students to do; all of the questions come with answers that you can display when ready. The slide show comes with a progress grid (regularly referred to in the presentation) so that students can mark their progress from start to finish and pinpoint any areas that may need extra work with a “red/amber/green” system that they fill in; each one is given an approximate grade in both new (2017 onwards) and old system in England. It’s what I use in my lessons before setting tasks from worksheets or text books to practise.
Find the lengths of the tunnels using the Sine and Cosine Rules. The students have to decide which to use with the information that they have. An attempt to show a use for the mathematics in a real life sense.
Arrange equivalent fractions, decimals and percentages into 'family' photos. I have done the smartboard file to show on the board and drag the fractions etc into the right frame if you like.
The idea is Mr Barton's, but this is my probability contribution. Show for 30 seconds, they then get down what they can remember. Show a few times until they think they&'ve finished then check their against yours. Simples!
Your mission is to diffuse a bomb, but as the video explains Ludwig has left clues to the code required. Answer the questions, find the average of your answers in each section to decipher the code. In all honesty you don't need to show the 30 second video, but my classes like confirmation of my stupidity every now and then, so the video exists as a result. It is designed for lower ability students.