Underground Mathematics – Review Questions

Underground Maths Mapping Review Questions

When is 6x7=42 a counter example.There are many Underground Mathematics Resource Types. I do like the Review Questions which in the words of the Underground Maths Team:

These are questions designed to test students’ understanding of one or more topics and to exercise their problem-solving skills. In many cases they can also be used as a classroom resource to help teach concepts and methods. They are mostly drawn from past examination questions and have been chosen as ones that are interesting in nature and require non-routine thinking. The hints and solutions are designed to explain the reasoning and highlight connections as well as giving the answer. In many cases, alternative methods or solutions are presented.

Read about the use of Review questions in the classroom on this Teacher Support page. The fact that these questions are designed to test understanding of one or more topics, exercise problem-solving and proof skills and help students make connections make them ideal for use in the A Level classroom. They can be used to introduce a topic or are also ideal for review, something which should be a regular part of linear courses.

You can browse all the Review questions or narrow your search by question type; note the O/AO-level questions which are questions from old papers. One can also search by line (Number, Geometry, Algebra, Functions or Calculus) and by Station.
underground-mathematics-review-questions

The Underground Maths team put together a spreadsheet that offers resource suggestions for each of the content statements in the DfE specification.  Scroll down the page for the spreadsheet. 

For each content statement, Underground Maths have suggested up to three rich resources and up to three Review questions. Each suggestion is hyperlinked to take you directly to the resource on the Underground Mathematics site. Resources that are particularly good at supporting the overarching theme of Mathematical modelling have been highlighted.

I have used many of the Review Questions successfully, something I will continue to do. My spreadsheet here gives the review questions by title rather than just number for each section of the subject contents. My starting point is the suggested review questions, most of which I have included; these are personal favourites. I can later add any additional suggestions.
Underground Maths Mapping Review Questions
The latest copy of the spreadsheet on this page on Underground Maths which is one of a series of pages on A Level Teaching Resources.

 

 

Underground Mathematics – Save & Organise Favourite Resources

A new page in the series of pages on Underground Mathematics …

If you create an account (all free) on Underground Mathematics you can easily save and organise your favourite resources.

Register

Select User from the menu at the top right, then New User to create an account. Note that you also use the User menu to log in.

When you are logged in you can add any resource to your collection by selecting the star to the right of the title. And note this resource Pick a card, which I highly recommend, think about multiple representations for Quadratic Functions. This could be used with younger students too.
Save resource

See also: Tutorials – Saving favourite resources – a video from Underground Maths
To see your resource collection, select ‘Your resource collection from the User menu.
User Menu

You can also use subcollections to help organise your resources. Subcollection1

When you display your resource collection, note the options for each resource, the first of which is the ability to add the resource to a subcollection.

Subcollection2
Note the choice to add to one of your existing subcollections or the option to create a new one.
Subcollection3

Note that when you display your resource collection you can select a subcollection if you wish:
Subcollection4

See for example Building Blocks resources I personally like; I created a subcollection and downloaded as a csv file. The ability to add notes is really useful too.

For reference, this is one of a series of pages on Underground Mathematics. With so many outstanding resources on the site, this is a continuing work in progress.

Underground Maths: Prepare for the new A Level

This will be so helpful for our preparation for the new A Level, I particularly like the Resource suggestions.

For each content statement, Underground Maths have suggested up to three rich resources and up to three Review questions. Each suggestion is hyperlinked to take you directly to the resource on the Underground Mathematics site. Resources that are particularly good at supporting the overarching theme of Mathematical modelling have been highlighted.

These of course are suggestions. There are so many outstanding resources on Underground Maths. In our department, like many others I am sure we will be exploring the resources and bookmarking our own favourites.

I have a series of pages on Underground Mathematics. This is a work in progress and I will be adding more content over the coming weeks. Some of my many favourites are on these pages…

Follow Underground Mathematics on Twitter or Facebook.
Note there is also a closed Facebook Group for teachers. We’d love to hear which Underground Maths resources you’ve been using, share your thoughts, ask questions or show your students work for discussion.

Coordinate Geometry – Underground Maths

geometry-of-equationsExploring Algebra Review Questions from Underground Mathematics I came across some Coordinate Geometry questions I really like and yesterday spending a day with the very talented writing team and my fellow Underground Mathematics Champions we explored Straight Line Pairs, a question with much scope for exploration and possible methods of solution.
straight-line-pairs

The image above straight-line-pairs-1has been created from the Printable/supporting materials.

My Year 11s will be looking at Coordinate Geometry this week and I have some other questions I would like them to try. It is possible to create pdf files for a collection of questions, see Saving Favourite Resources, one of Underground Mathematics’ How To Videos. (See the tutorials page I have in the Underground Maths series of pages – a work in progress).

coordinate-geometry-resource-collection

You will find a whole collection of such questions if you look at Geometry of Equations. This includes many resources including Review questions. Note the Building Blocks resources. I think I’ll be using Underground Mathematics resources with ever younger students – Year 9 can try Lots of Lines! You will see from the the supporting materials that this has come from the brilliant Standards Unit (A10) collection. Students must sort the lines into six pairs, each pair matching one of the given descriptions.
lots-of-lines
Staying with the Building Blocks I do like Straight Lines where students must decide which of 17 equations are equations of a straight line.
Look at the list – a wonderful lesson in not jumping to conclusions here! Both my Year 9 and my Year 11 are going to be trying these this week!

ax^2+2hxy+by^2=0.

Straight Lines reminded me of Line Pairs, I feel an extension for Year 11 coming on!

 

Underground Mathematics Algebra Review Questions

Underground Mathematics provides such an outstanding collection of resources that I have begun to create a series of pages on the site. The resources are not only good for Advanced Level but for GCSE students too, particularly for students aiming at the very highest grades. This series of pages is very much a work in progress which I will be updating regularly.

I have used many of the Review questions for my able GCSE students. As you can see from the descriptions of  resorce types, the review questions are ideal for the new GCSE specifications as they have been selected to test students’ understanding of one or more topics and to exercise their problem-solving skills. The questions which have been chosen require non-routine thinking. You can browse all the Review questions or narrow your search by question type; note the O/AO-level questions which are questions from old papers. One can also search by line ( Number, Geometry, Algebra, Functions or Calcuus) and by Station.
underground-mathematics-review-questions

If you create an account you can easily save and organise your favourite resources. This list of favourites can be easily downloaded as a csv file. To further organise your favourites you can create subcollections.
subcollections

This too is a work in progress, I will create a collection of resources I believe are particularly useful for GCSE. I have several Algebra favourites so far. This Excel file has hyperlinks to all the resources shown here. algebra-gcse-9-1. Alternatively this pdf file also has the relevant hyperlinks. algebra-gcse-9-1
algebra-gcse-9-1