Famous Mathematicians of the World - wall display!
Featuring 42 mathematicians from across 6 continents, 23 countries, and a period of 25 centuries.
PDF:
Editable PPT:
(Thanks to
@DrStoneMaths
for the original PowerPoint.)
Here we go! .
A repository for tasks interweaving different maths topics together.
Including:
- fully editable PowerPoints,
- complete solutions,
- carefully chosen questions that reveal the structures underpinning and connecting different topics. [1/5]
Coming tomorrow!
These 24 mathematicians... plus 58 more!
From over 50 different countries and a period of 25 centuries, all in one editable PowerPoint.
Excited to say that I'm working on version 2 of my Famous Mathematicians display.
Changes to include:
- 30 new mathematicians from 20+ extra countries
- Completely rewritten descriptions
- Resized to fit on A4
- A new font (no more Bahnschrift)
Hoping to release a week today!
50 Mathematical Quotations - wall display!
PDF:
Editable PowerPoint (download!):
(note: to edit the text, you will have to either convert to a different font, or download it from )
I am aware that the Interwoven Maths site is often very slow or impossible to access. I'm working on fixing it...
In the meantime, an editable Master PPT containing every task (86 slides!) so far is available at the link below:
These tasks made for my smoothest ever start to Standard Form with Year 9 last week.
Lots of inspiration/questions taken from the incredible Standard Form tasks by
@mrbartonmaths
,
@FortyNineCubed
,
@MrBollenMaths
and James Lamb on
New website:
I'm slowly adding all the tasks, displays, resources, and thoughts I've shared on Twitter over the past few years to one place.
Hopefully it might be helpful (even if only for me, the filing on my computer is dreadful!).
What if
@mrbartonmaths
's Same-Surface Different-Depth questions met
@taylorda01
's Increasingly Difficult questions, and they got a bit carried away?
You'd get...
Snakes!
Excited to say that I'm working on version 2 of my Famous Mathematicians display.
Changes to include:
- 30 new mathematicians from 20+ extra countries
- Completely rewritten descriptions
- Resized to fit on A4
- A new font (no more Bahnschrift)
Hoping to release a week today!
Famous Mathematicians of the World - wall display!
Featuring 42 mathematicians from across 6 continents, 23 countries, and a period of 25 centuries.
PDF:
Editable PPT:
(Thanks to
@DrStoneMaths
for the original PowerPoint.)
New Tasks: Quadratics Snakes
Three sets of increasingly challenging questions linking factorised, expanded and completed-square forms of a quadratic, and what they represent graphically.
Answers and editable PPT available at:
New Task:
Factions Calculations - Working Backwards and Generalising
This task gives plenty of practice calculating all four operations with fractions, with lots of patterns to spot and generalise algebraically.
Really excited to give this one a go in September!
If you head to , you may notice things looking a little different.
I'm moving things over to a new (far quicker) site.
Also on there are displays, booklets, examples, and much more to come!
My favourite bit is the contents page:
For those thinking about Y11 revision after Easter, perhaps consider doing some interwoven revision questions!
Available to project, to print, and to adapt at:
Includes answers.
Rearranging Formulae - Five Worksheets!
This sequence of 60 questions (+6 extension problems), developed with the help of
@StudyMaths
, builds up rearrangement from number statements to equations to formulae.
With helpful bar and area models too!
Adapting some fantastic tasks by
@karenshancock
(Task 1),
@mathsjem
(Task 2) and Don Steward (Task 3), for a Year 12 booklet on Indices and Surds.
Original Tasks
Task 1:
Task 2:
Task 3:
These questions provoked fantastic discussion in a lesson today with Y9.
They really enabled us to explore in depth how pupils thought about these proportional relationships.
Key ideas: the role of 3 and 1.5 in each question and the two directions of proportional relationships.
New Tasks!
Distributivity: Partitioning, Grid Method, Expanding Brackets
This progression of 15 tasks carefully builds from basic partitioning through to expanding and factorising double brackets.
Part 1 (the pre-algebra part) is below.
Part 2 and editable PPT to follow soon!
At the start of this year, I did a thread recapping the maths ideas and resources shared over 2022.
Well, I feel that it's now time for...
Nathan's 2023 Maths Resource Round-Up!
Long thread below...
I loved this idea from
@ddmeyer
so much that I've made my own recap of the most shared tweets from some of my favourite UK maths tweeters in 2022!
First up, back in January...
New Tasks: Introducing Trigonometry
Here are some tasks I used when introducing my Year 10s to Right-angled Trigonometry last half term.
Editable PPT + PDF with Answers available at the link.
Details below!
(1/6)
It's always nice to make a set of geometry questions that don't require drawing any diagrams...
In this case, angles in polygons questions, some of which form some fun equations.
Expanding and Factorising Non-Monic Quadratics
- A progression from expanding to factorising using the grid method
- A matching/blank-filling task
- A few organised variety tables
Well, you can't always get what you want.
(This trio of tasks is a mid-unit refresher on dealing with negative numbers in algebra, surely the most common source of errors when solving equations etc.)
Since June is Pride Month, I thought I'd make a little activity based on the Progress Pride Flag.
It includes some area and perimeter, Pythagoras, percentages, and equation of a straight line.
Free to download and edit at:
Interwoven Circle Theorems - with Simultaneous Equations, Ratio, and Pythagoras' Theorem.
Many thanks to
@karenshancock
for sharing this brilliant task on Interwoven Maths.
Editable PowerPoint with solutions available at the link 👇
One of the things I enjoy most is creating & adapting tasks and making them look 'nice'.
Unfortunately, there usually isn't time during school terms to do this.
Today's fun is making a percentages booklet, with heavy use of Don Steward and
@mathsacharya
's fantastic %ages booklet.
Made something quick/simple to practice solving equations in a few different ways with mixed Year 7s & 8s this week.
While both are limited (e.g. handling negatives/unknowns appearing on both sides), I find they can help develop important concepts (balancing/inverse operations).
1/9: Last half term I led a
#MathsConf
online workshop in which I made a Calculations with Standard Form booklet live.
Well... I've finally taken the time to finish it!
I think there's a few nice tasks in there.
I did these questions with Y10 today.
I couldn't suppress an evil chuckle when one of them, having done the first four q's, says
'The answer to question 5 had better not be 2 : 1 : 6'.
Answers:
1) 216
2) 216
3) 216
4) 21.6
5) 2:1:6
6) 2.16
7) 216
8) 2 1/6
9) 2.16 (2 dp)
10) 216
I'm trying to come up with 'Which is bigger?' questions that can be answered without calculating either of the options.
Here are some of the ideas I have so far.
What else could I have?
Today Year 10 and I did a lot of 'difference of two squares'-ing.
Questions taken from a few different sources, but mostly from Don (obviously) and Heyling's:
part i)
part ii)
Booklet available here:
Expanding and Factorising Non-Monic Quadratics
- A progression from expanding to factorising using the grid method
- A matching/blank-filling task
- A few organised variety tables
Made something for tomorrow's Year 7 lesson, and hopefully a few other future lessons too!
Will be uploaded to tomorrow evening, with both slides and a printable version.
New Tasks!
Distributivity: Partitioning, Grid Method, Expanding Brackets
This progression of 15 tasks carefully builds from basic partitioning through to expanding and factorising double brackets.
Part 1 (the pre-algebra part) is below.
Part 2 and editable PPT to follow soon!
Thanks to all who have shared & offered me beverages.
Since 'the material is made available for downloading and dissemination for NON-PROFIT MAKING PURPOSES ONLY', I cannot accept the coffees.
But I can disseminate, so here's a link to download the pdf:
Interwoven Areas of Trapeziums - with fractions, decimals, compound shapes and solving equations.
This is an incredible series of 4 tasks kindly shared by
@karenshancock
exploring areas of trapeziums in great depth.
Fully editable PPT at the link:
Scaling Ratios Task:
One of the biggest changes in my teaching last year was a focus on the importance of scaling ratios.
This task is key to that approach, showing how ratios can be scaled to achieve different outcomes.
All finished...
Interwoven Histograms and Cumulative Frequency (and Box Plots!)
Download at:
Available as PDF or editable PowerPoint. Solutions included. Mistakes probable.
(Thanks to
@StudyMaths
for the axes generator: )
#PowerPointPSA
Round 2 - Tables!
In PowerPoint, tables are your friends.
Here are some uses you might not have thought of!
All of the
#PowerPointPSA
tips so far can be found, along with a PPT download, at:
New task!
Volumes and Surfaces Areas of Cuboids, with the areas of their faces:
Accessible progression to finding the volume of a cuboid given the areas of its faces.
New! Mixed Interwoven Revision Tasks (aimed at Y11).
Suitable for projecting on screen. With answers.
Editable PPT and Printable Versions available at:
Rather happy with these questions finding areas and perimeters of L-shapes with fractions.
Lots of shortcuts to be found.
Lots of patterns to be spotted.
Lots of extension opportunities.
Will give them a go with Year 7 tomorrow.
Some more interwoven questions - this time using averages.
Quite a few tricks to these ones, especially the bounds question which always catches people out!
I do enjoy a structured variation grid...
Thanks to
@StudyMaths
for encouraging me to think about them more - he has some great interactive ones available here:
Feeling like your lessons are a bit repetitive?
Wanting to spice things up a bit?
@studymaths
has collated the most evidence-informed, research-backed, tried-and-tested types of tasks.
Many great ideas here:
Adapting some fantastic tasks by
@karenshancock
(Task 1),
@mathsjem
(Task 2) and Don Steward (Task 3), for a Year 12 booklet on Indices and Surds.
Original Tasks
Task 1:
Task 2:
Task 3:
I've found myself another project...
Volume and Surface Area Completion Tables!
Here's the first two. About 10 more to come, I reckon.
(repost due to incorrect units!)
I think I'll need a hashtag for collating these 'Which is bigger?' questions. Let's go with
#WhichIsBigger
Here are some of the
#WhichIsBigger
questions so far!
It's been a quiet few months over at , but that's all going to change!
I'm aiming to share something on there every day in June.
Starting off with a new format, and one of my favourite topics:
Sequences Snake!
Don't Stop Interweavin' (Hold on to that feelin')
Thanks to those to came to my talk today about Interweaving.
Here's a summary for those who missed it (or want to relive it)!
Slides available here:
[1/n]
Another lovely task from the fantastic
@jshmtn
is now on the site! This time using standard form with area and perimeter calculations, with a rather tricky extension linking with Pythagoras.
Daydream Interweaver - Reciprocals
These are the slides from my workshop at
#mathsconf30
on Interweaving and Reciprocals.
(editable PowerPoint to follow soon)
Highlights below!
Challenge Expected. 🧵
In this thread I'm going to share some of the tasks I shared and things I talked about during my
#MathsConf35
workshop on making challenging questions more meaningful and accessible to students.
Full slides available here:
1/13
All done!
I think this task gives lots of opportunities for being both creative and methodical, and for demonstrating a good understanding of the different types of transformation.
The fully animated PowerPoint can be downloaded here:
Inspired by today's excellent array of talks at
@TMMathsIcons
, I've started working on my slides for an upcoming workshop on maths's incredible history and, hopefully, equally incredible future.
I've now uploaded the first A Level task to the site:
Solving Trigonometric Equations with The Factor Theorem and Polynomial Division.
Incl. questions with trig identities, transformed trig functions, and one showing the link between tan(x) and tan(1/x).
Here we go! .
A repository for tasks interweaving different maths topics together.
Including:
- fully editable PowerPoints,
- complete solutions,
- carefully chosen questions that reveal the structures underpinning and connecting different topics. [1/5]
Really enjoyed using these tasks from
@mrshawthorne7
with two different Y10 groups this week. I've never taught straight-line graphs and linear sequences more successfully - & I was doing both simultaneously!
So many lovely opportunities for generalising and making connections.
Refined a few ideas I've had for a progression to connect sequences, nth term, gradient and the equation of a line. For my y10's when we are back face to face so there's obviously other modelling and talk going on around this.
Full task here:
I've now made a second Pride Flag Maths task, this time focussing on Coordinates and Equations.
Download both tasks from:
and please share with anyone who might be interested!
Many thanks to
@karenshancock
with helping come up with ideas for questions.
Since June is Pride Month, I thought I'd make a little activity based on the Progress Pride Flag.
It includes some area and perimeter, Pythagoras, percentages, and equation of a straight line.
Free to download and edit at:
@AlisonKriel
@BernardRand
@Sharifahlee4
Hi Alison, I believe this article was originally written in 2002, in part by Simon Sheppard (aka Thomas Sparks), a far-right extremist who has been imprisoned four times for Holocaust denial, inciting racial hatred and more. Are you sure you want to share it?
Really enjoying reading 'Adapting and Extending Secondary Mathematics Activities' by Prestage and Perks.
So many different ideas and ways of thinking about tasks. The 'What-if-not' is my favourite bit so far!
Thanks to
@annemathswatson
for the recommendation.
Not quite finished my Y9 revision booklet project in time for the end of the Easter holidays, but I've had a lovely time making them so far.
Next up - Surds and indices!
Over the holidays, I've been working on my
@Desmos
skills.
- Cobweb/Staircase iteration diagrams:
- Newton-Raphson method:
- Histogram/CF grapher (in progress):
- Triangle spirals:
Interwoven Proportion - 12 different questions from 12 different topics, all with the same mathematical structure.
Great for exploring the wide range of uses of ratio tables.
Editable PowerPoint with discussion prompts available at the link below:
.
@Arithmaticks
would like this section of
@adamboxer1
's book. Point 3 is so well argued in chapter 21 - a formula isn't a method to find some missing quantity, it's the expression of a meaningful relationship between variables. Understanding that relationship must come first.
An idea for introducing speed/distance/time.
Reasoning:
- Avoids the baggage of familiar units, and calculations that can be done without understanding
- Motivates having a concept of speed as a unit ratio (squares per second)
- Gives many opportunities for reasoning with speed
New Tasks:
8 Interwoven Volume and Surface Area Completion Tables
Including:
- Cuboids (with Fractions, Decimals, Indices, Algebra, and Brackets)
- Cylinders
- Cones
Available to download as a PDF or editable PowerPoint at:
Answers included!
New Task:
Pythagoras and Regions Satisfying Inequalities
This lovely task by
@karenshancock
interweaves perimeter, Pythagoras' theorem, straight-line graphs, and inequality regions.
Editable PPT with solutions available at the link!
Really enjoyed using these worked examples with Y9 and Y12 today.
Thanks to
@karenshancock
for the inspiration and help with making them.
Many more to come!
I think I'll need a hashtag for collating these 'Which is bigger?' questions. Let's go with
#WhichIsBigger
Here are some of the
#WhichIsBigger
questions so far!
I'm trying to come up with 'Which is bigger?' questions that can be answered without calculating either of the options.
Here are some of the ideas I have so far.
What else could I have?
New Task:
Histograms, Cumulative Frequency and Frequency Polygons with... Bounds
Kindly created and shared by
@mansbridgemaths
, this task links various ways of rounding to different frequency diagrams.
I especially like the primes question!