Dec 10 2023

A Level Further Maths – Videos

From AMSP this brilliant collection of short videos produced by the legacy Further Mathematics Support Program supports the Further Maths Specification. I have used many of these successfully in class and recommended them to students to support their studies. Look at any of the examination boards, AQA, Edexcel, OCR A pr OCR B (MEI) to see the comprehensive coverage for the course.

The AMSP videos which provide excellent specification coverage for AQA, Edexcel, OCR A pr OCR B (MEI) have been included for some time on the Further Maths Teaching Resources page.

I thought it would be useful for future easy reference to create a new page on Videos for Further Maths, this is one of the A Level Further Maths series.

On Mr Man Maths, you can find complete checklists for Edexcel Year 12 Core Pure, Year 13 Core Pure, plus the optional FP1 and FP2 modules. Mr Man’s checklists link to 6 YouTube channels.

To see the style for each channel, compare these videos on Loci in the Argand diagram.
(The AJ Maths video on Complex Numbers does not include Loci in the Argand Diagram)

AMSP YouTube Channel, the first of two vidoes (8 minutes) on Loci in the Argand Duagram.

TL Maths Home, TL Maths video channel, Loci with Argand Diagrams Playlist
TL Maths includes detailed playlists for all sections.
(first of 12 videos, 7 minutes)

Bicen Maths, this is the first of ten videos (10 minutes) on Loci in the Argand diagram.

Haberdashers’ Adams Maths Department YouTubeChannel,
Loci on an Argand Diagram, part 1 (of 2), 25 minutes

Hinds Maths one 56 minute video:

Mar 28 2021

Decision Mathematics – Teaching Resources

Trying to make things easy to find, I have added two new pages to the Further Mathematics series. This series can be found on the A Level (16+) Tab.

Decision Mathematics compares the specification and shows the subject content of Decision Mathematics for each.
Decision Mathematics Teaching Resources includes all the teaching resources I have mentioned to date for teaching Decision Mathematics.

AQA	Edexcel	OCR A	MEI (OCR B)
Graphs	Decision Mathematics 1	Mathematical Preliminaries	Algorithms
Networks	Algorithms and Graph Theory	Graphs and Networks	Networks
Network Flows	Algorithms on Graphs	Algorithms	Networks and graphs
Linear Programming	Critical Path Analysis	Network Algorithms	Network Flows
Critical Path Analysis	Linear Programming	Decision Making in Project Management	Critical path analysis
Game theory for zero-sum games	Decision Mathematics 2	Graphical Linear Programming	Solving network problems using technology
Binary Operations	Transportation Problems	The Simplex Algorithm	Linear Programming
	Allocation (assignment) problems	Game Theory	The Simplex Algorithm
	Flows in networks
	Dynamic Programming
	Game Theory
	Recurrence relations
	Decision Analysis

Decision Mathematics Subject Content

Teaching Resources – GeoGebra Resource from the OR Society

Aug 9 2020

Mathematical Miscellany #44

Some updates this week…

MATHSgrader Wk1 Assessment Tier C

From Ross Blair on MATHSgrader comes a complete set of Interactive assessments to complement the Maths Genie homeschool program. The resources are provided in three tiers, Tier A roughly accords with grades 1-2. Tier B with grades 3-5 and Tier C is 6-9. Check the menus for Teachers and Pupils for easy site navigation.

For A Level Owen (Owen134866 on TES) has a library of Mathematics teaching resources, these are really clearly structured with step by step examples. Recently added, is A-level Core Pure Mathematics Year 2/A2 for the second year of Further Mathematics. These resources have been added to the Teaching Resources page for Further Mathematics. This Calculus content is part of the core Pure Mathematics specification common to all examining boards. For more on Further Calculus in Further Mathematics, see my post here.

Also note for Further Mathematics, Jack Brown who has created thousands of videos covering the complete A Level specification has been very busy with his Further Maths collection of teaching videos and exam paper walkthroughs; the easiest way to navigate the videos is through his website, TLMaths.com. A recent addition to the exam paper walkthroughs is the specimen paper for OCR MEI Modelling with Algorithms.

My post on Graspable Math proved popular last week and included a canvas of the problems from one of Dave Taylor’s wonderful Increasingly Difficult Question sets. I decided I liked the idea of having a canvas ready for his Simplifying Expressions, starting with IDQ-Simplifying Expressions 1, I opened it on my own canvas and adapted it slightly. I do like to keep all steps of the working displayed, so I have put the exercises on the left, creating a good space on the right.

One Incorrect - Don Stward - first problem Taking a canvas and adapting can help you learn to use the interface if you are unfamiliar with it. Using this One Incorrect canvas by Eric Weitnauer which is based on Don Steward’s one incorrect simplification I made a copy of Eric’s canvas and created one for the first problem from Don Steward’s blog post, discovering along the way that if you enter text for a web link, then Graspable Math inserts that as a link.

Note formulas on the menu.
$Graspable Math Formulae$

For a clear example of this feature in action, have a look at this video.

Jun 28 2020

HELM Notes

I have referred to the HELM (Helping Engineers Learn Mathematics) notes many times over the years on this blog. They are referred to on the Notes and Examples page for Further Mathematics as well as in many individual blog posts, for example, Mechanics – Dimensional Analysis, Differential Equations, and Further Calculus.

If you have not come across the HELM Project before, the project was designed to support the mathematical education of engineering students and includes an extensive collection of notes which include very clear worked examples. Whilst the workbooks cover the basic engineering mathematics and statistics teaching for first and second year students in a typical UK undergraduate engineering degree many of the workbooks include content appropriate for A Level Mathematics and particularly, Further Mathematics. For easy access to these resources, the HELM Project Workbooks are hosted by Loughborough University’s Mathematics Learning Support Centre. Alternatively, the complete set is hosted by the Open University. To access the Open University resources you will need to create an account (easy and free), this will also give you access to the numerous free online courses.

Looking at Loughborough University’s Mathematics Learning Support Centre as well as providing access to the workbooks, we can additionally read about the past, present and future of the resources and see the details of the HELM consortium members and their roles.

You will see from Loughborough’s description that each workbook varies in length from 25 pages to 75 pages (average 50 pages), and includes Mathematics (and Statistics) for engineering simply explained, worked examples, tasks and exercises with answers provided. Note the last workbooks in the series, Workbook 49 is a Student’s Guide and Workbook 50 a Tutor’s Guide.

The Student guide includes a description of the format of the workbooks and a comprehensive list of contents.

HELM - Student Guide — HELM Project – Workbook 49, Student’s Guide

Jun 21 2020

Technology in Mathematics

An update has been made to the Use of Technology page.

In particular note the GeoGebra resources from Edexcel (and also OCR).

From Edexcel you can use A Guide to using GeoGebra when teaching AS and A Level Mathematics which links to numerous GeoGebra files clearly mapped to the specification content. You can also access an excellent collection relating to the Pearson books (see table below). Whilst linked to the books many of these GeoGebra resources do stand alone, for example check this equations and inequalities example from the Pearson Maths A Level Pure 1 collection.

Mathematics

Pearson Maths A Level Year 1

Pearson Maths A Level Year 2

Pearson Maths Statistics and Mechanics Year 1

Pearson Maths Statistics and Mechanics Year 2

Further Mathematics

Pearson Maths A level Core Pure 1

Pearson Maths A level Core Pure 2

Pearson Maths A level Further Pure 2

Pearson Maths A Level Further Mechanics 1

Pearson Maths A Level Further Mechanics 2

Pearson Maths A Level Decision 1

Pearson Maths A Level Decision 2

Pearson Maths A Level Further Statistics 1

Pearson Maths A Level Further Statistics 2

It is good to see all the GeoGebra resources for Further Mathematics, for example, check Explore toppling and sliding using GeoGebra.

Pearson Maths A Level Further Mechanics 2 Toppling and Sliding

For exploring the Large Data, on AQA’s All About Maths see AQA Large Data Set – Guidance and Worksheets including a tool to help support teaching the statistics content of the specification. This is an amended version of the large data set spreadsheet, the first three sheets are as on the AQA large data set but there are many additional sheets which allow students to explore the large data set. The tools are all provided for students, they do not need knowledge of Excel, meaning time can be spent on interpreting the data rather than learning about Excel. The worksheet on Exploring the Large Data Set could I think be usefully used lower down the school to get students used to working with more data.

A separate page is available on Statistics.