Nathan Day @nathanday314 Twitter profile

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Nathan Day

2 years

It's here! Famous Mathematicians From Around the World (Version 2) 82 mathematicians. 53 countries. PDF: Editable PPT: Individual posters:

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Nathan Day

@nathanday314

2 years

Writing starter questions in bulk is like doing meal prep for maths teachers

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Nathan Day

@nathanday314

4 years

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.)

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Nathan Day

@nathanday314

3 years

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]

Nathan Day

@nathanday314

3 years

Coming tomorrow! A new website...

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Nathan Day

@nathanday314

2 years

Coming tomorrow! These 24 mathematicians... plus 58 more! From over 50 different countries and a period of 25 centuries, all in one editable PowerPoint.

Nathan Day

@nathanday314

2 years

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!

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Nathan Day

@nathanday314

3 years

Coming tomorrow! A new website...

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Nathan Day

@nathanday314

4 years

Coming Soon(ish) - 15 Mathematical Flow Sprays! (Requests welcomed) E.g.

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Nathan Day

@nathanday314

2 years

Yesterday, my Year 10s were treated to my favourite University Challenge clip...

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Nathan Day

@nathanday314

4 years

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 )

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Nathan Day

@nathanday314

3 years

Well, that's today's project complete... All the CIMT practice books merged into one searchable, fully-indexed, 2100 page PDF.

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Nathan Day

@nathanday314

2 years

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:

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Nathan Day

@nathanday314

2 years

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

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Nathan Day

@nathanday314

4 years

Free templates based on @mrbartonmaths 's Reflect, Expect, Check, Explain and Online Courses. Now including: - Retrieval Starters - Example-Problem Pairs - Low Stakes Quizzes - Intelligent Practice - SSDD Problems - Diagnostic Questions - UKMT Questions. See thread! [1/8]

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Nathan Day

@nathanday314

3 years

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!).

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Nathan Day

@nathanday314

1 year

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!

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Nathan Day

@nathanday314

2 years

After a couple of weeks' break, I'm back to making booklets for the new year - currently Simultaneous Equations.

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Nathan Day

@nathanday314

1 year

Extra-challenging Pythagoras questions - with a theme! I really enjoyed making these. Hopefully they are fun to answer too!

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Nathan Day

@nathanday314

2 years

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!

Nathan Day

@nathanday314

4 years

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.)

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Nathan Day

@nathanday314

1 year

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:

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Nathan Day

@nathanday314

2 years

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!

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Nathan Day

@nathanday314

2 years

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:

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Nathan Day

@nathanday314

4 years

Coming soon...

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Nathan Day

@nathanday314

1 year

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.

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Nathan Day

@nathanday314

2 years

Comparing coefficients in identities.

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Nathan Day

@nathanday314

3 years

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!

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Nathan Day

@nathanday314

2 years

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:

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Nathan Day

@nathanday314

2 years

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.

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Nathan Day

@nathanday314

6 months

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...

Nathan Day

@nathanday314

1 year

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...

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Nathan Day

@nathanday314

2 years

Distributivity: Part 2 - The Algebra Bit Full booklet, with 8 starters, 13 tasks and full solutions available at the links below! PDF: Editable PPT:

Nathan Day

@nathanday314

2 years

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!

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Nathan Day

@nathanday314

2 years

I do enjoy creating exercises where every question has the same answer...

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Nathan Day

@nathanday314

1 year

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)

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Nathan Day

@nathanday314

1 year

Doing some maths on the train on my way to #JointConf23 ! Feel like I need to chuck some box plots in there somewhere...

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Nathan Day

@nathanday314

1 year

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.

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Nathan Day

@nathanday314

2 years

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

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Nathan Day

@nathanday314

2 years

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.)

Nathan Day

@nathanday314

2 years

I always like having a question for every letter of the alphabet...

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Nathan Day

@nathanday314

2 years

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 👇

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Nathan Day

@nathanday314

1 year

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:

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Nathan Day

@nathanday314

7 months

Why do these questions all have the same answer?

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Nathan Day

@nathanday314

2 years

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.

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Nathan Day

@nathanday314

1 year

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).

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Nathan Day

@nathanday314

1 year

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.

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Nathan Day

@nathanday314

1 year

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

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Nathan Day

@nathanday314

2 years

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?

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Nathan Day

@nathanday314

4 months

Rather Similar Pythagoras Questions! How would you answer Question 12? [Q3 is deliberately impossible]

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Nathan Day

@nathanday314

2 years

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:

Nathan Day

@nathanday314

2 years

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

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Nathan Day

@nathanday314

2 years

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.

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Nathan Day

@nathanday314

2 years

Bored of writing your own maths questions? Get AI to do it for you! It comes up with some really interesting ideas.

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Nathan Day

@nathanday314

2 years

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!

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Nathan Day

@nathanday314

3 years

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:

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Nathan Day

@nathanday314

1 year

#PowerPointPSA 1 - Put a space before the colon when writing a ratio in Equation editor.

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Nathan Day

@nathanday314

2 years

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:

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Nathan Day

@nathanday314

2 years

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.

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Nathan Day

@nathanday314

1 year

Version 2 is on its way - featuring more averages, more data sets, bigger graphs, and... box plots!

Nathan Day

@nathanday314

1 year

Doing some maths on the train on my way to #JointConf23 ! Feel like I need to chuck some box plots in there somewhere...

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Nathan Day

@nathanday314

1 year

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: )

Nathan Day

@nathanday314

1 year

Version 2 is on its way - featuring more averages, more data sets, bigger graphs, and... box plots!

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Nathan Day

@nathanday314

2 years

I always like having a question for every letter of the alphabet...

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Nathan Day

@nathanday314

2 years

My Y10s enjoyed doing these questions today. "Sir, it's like one big 'calculate cleverly'!"

Nathan Day

@nathanday314

2 years

Slides now available at: Watch back at:

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Nathan Day

@nathanday314

1 year

#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:

Nathan Day

@nathanday314

1 year

#PowerPointPSA 1 - Put a space before the colon when writing a ratio in Equation editor.

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Nathan Day

@nathanday314

1 year

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.

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Nathan Day

@nathanday314

3 years

I can't remember the last time I thought this long or hard about a sequence of questions... [1/n]

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Nathan Day

@nathanday314

3 years

This @Desmos factor tree generator is absolutely incredible: (by u/Euclid_of_Alexandria on Reddit)

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Nathan Day

@nathanday314

1 year

New! Mixed Interwoven Revision Tasks (aimed at Y11). Suitable for projecting on screen. With answers. Editable PPT and Printable Versions available at:

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Nathan Day

@nathanday314

2 years

Similar Shapes with Pythagoras and Trigonometry and Area and Perimeter.

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Nathan Day

@nathanday314

1 year

New tasks! Interwoven Pythagoras and Trigonometry (Mixed Questions) Available at: With edible PPT, PDFs (including two per page), and answers!

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Nathan Day

@nathanday314

2 years

Rediscovered these questions while clearing out my classroom last week. Clearly inspired by @mrbartonmaths / @FortyNineCubed

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Nathan Day

@nathanday314

4 years

@AlhassanMaths How about using a flow chart/spray of some kind? That way pupils can both see the 'big picture' and focus in on individual stages. E.g.

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Nathan Day

@nathanday314

2 years

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.

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Nathan Day

@nathanday314

1 year

Some more interwoven questions - this time using averages. Quite a few tricks to these ones, especially the bounds question which always catches people out!

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Nathan Day

@nathanday314

1 year

Confession: Slightly addicted to Addition Pyramids at the minute...

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Nathan Day

@nathanday314

2 years

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:

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Nathan Day

@nathanday314

2 years

Now doing a booklet on Using Graphs, making some original tasks. The fun never stops.

Nathan Day

@nathanday314

2 years

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:

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Nathan Day

@nathanday314

2 years

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:

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Nathan Day

@nathanday314

1 year

Inspired by @StudyMaths 's incredible #MathsConfOnline workshop - here's some 2D completion tables on straight-line graphs!

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Nathan Day

@nathanday314

2 months

What questions could you ask about islands? Here's one to get things started: What is the smallest possible island that has more land than beach?

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Nathan Day

@nathanday314

1 year

There were some wonderful #WhichIsBigger questions shared by @colinfoster77 in his #jointconf23 closing plenary. (Thanks to @mrshawthorne7 for the pictures!)

Nathan Day

@nathanday314

2 years

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!

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Nathan Day

@nathanday314

1 year

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!)

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Nathan Day

@nathanday314

1 year

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!

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Nathan Day

@nathanday314

2 years

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]

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Nathan Day

@nathanday314

3 years

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.

(IW) Area and Perimeter with Standard Form - Interwoven Maths

by Jshm (@jshmtn) PPT Download

interwovenmaths.com

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Nathan Day

@nathanday314

2 years

A surprising amount of time went into choosing these questions...

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Nathan Day

@nathanday314

2 years

Daydream Interweaver - Reciprocals These are the slides from my workshop at #mathsconf30 on Interweaving and Reciprocals. (editable PowerPoint to follow soon) Highlights below!

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Nathan Day

@nathanday314

1 year

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:

Nathan Day

@nathanday314

1 year

The first day of half term can mean only one thing... ... separately animating 24 different transformations!

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Nathan Day

@nathanday314

3 years

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.

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Nathan Day

@nathanday314

2 years

Combining Ratios. Fill in the gaps.

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Nathan Day

@nathanday314

3 years

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).

Nathan Day

@nathanday314

3 years

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]

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Nathan Day

@nathanday314

1 year

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.

Nathan Day

@nathanday314

1 year

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:

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Nathan Day

@nathanday314

3 years

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.

Charlotte Hawthorne

@mrshawthorne7

3 years

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:

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Nathan Day

@nathanday314

5 months

@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?

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Nathan Day

@nathanday314

2 years

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.

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Nathan Day

@nathanday314

2 months

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!

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Nathan Day

@nathanday314

2 months

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:

Nathan Day

@nathanday314

3 months

This one is slightly more pretty. Very much enjoyed creating a rather dynamic diagram with @Desmos !

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Nathan Day

@nathanday314

3 years

. @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.

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Nathan Day

@nathanday314

1 year

I've been working on some #MathsCarrolls . What would you put in yours?

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Nathan Day

@nathanday314

2 years

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:

(IW) Interwoven Proportion - Interwoven Maths

by Nathan Day (@nathanday314) PPT Download

interwovenmaths.com

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Nathan Day

@nathanday314

2 years

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

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Nathan Day

@nathanday314

1 year

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!

(IW) Interwoven Volume and Surface Area Completion Tables - Interwoven Maths

by Nathan Day (@nathanday314) PPT Download PDF Download

interwovenmaths.com

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Nathan Day

@nathanday314

2 years

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!

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Nathan Day

@nathanday314

2 years

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!

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Nathan Day

@nathanday314

2 years

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!

Nathan Day

@nathanday314

2 years

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?

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Nathan Day

@nathanday314

1 year

I'm sad to say that I just took down MrDayMaths. Any content that was on it has either already been moved to or will be moved there in the next few days. Thanks to all those who use and share things on Interwoven Maths - it means a great deal to me.

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Nathan Day

@nathanday314

2 years

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!

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