Amanda Austin's Avatar

Amanda Austin

@draustinmaths.com

Maths and Further Maths teacher | Parent to three boys and a Cockapoo | Lover of origami and maths art |Creator of draustinmaths.com | Resource creator for Dr Frost Learning

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13.08.2024
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Latest posts by Amanda Austin @draustinmaths.com

An answer that doesn't make sense geometrically, e.g. an angle in a quadrilateral greater than 360 or a hypotenuse that is less than a short side in a right-angled triangle.

01.03.2026 20:42 πŸ‘ 4 πŸ” 0 πŸ’¬ 1 πŸ“Œ 0
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Less thank 2 weeks to go now until Teachers Talk Radio Connect in Manchester on 14th March! 🀩🀩🀩

The event is entirely FREE for teachers, and you'll get to hear from some amazing colleagues sharing their ideas and experience. 🏫
You can get your FREE tickets 🎟️ at: www.ttradio.org/connect2026

01.03.2026 17:06 πŸ‘ 2 πŸ” 2 πŸ’¬ 1 πŸ“Œ 2
A blank parametric equations worksheet displayed as a table. Columns are titled: x = p(t), y = q(t), Cartesian Equation f(x,y), Intersection with axes, Constraint on t, Domain, Range, and Sketch. Five rows contain given parametric pairs such as x = 3 – t, y = –4 + 3t; x = 3tΒ², y = 6t; x = 4 cos t, y = 2 sin t; x = 1 + 2 cos t, y = 3 + 2 sin t; and x = eΒ²α΅—, y = eΒ³α΅—, with remaining columns left blank for students to complete

A blank parametric equations worksheet displayed as a table. Columns are titled: x = p(t), y = q(t), Cartesian Equation f(x,y), Intersection with axes, Constraint on t, Domain, Range, and Sketch. Five rows contain given parametric pairs such as x = 3 – t, y = –4 + 3t; x = 3tΒ², y = 6t; x = 4 cos t, y = 2 sin t; x = 1 + 2 cos t, y = 3 + 2 sin t; and x = eΒ²α΅—, y = eΒ³α΅—, with remaining columns left blank for students to complete

 second blank parametric equations worksheet in table format. Columns match the first sheet: x = p(t), y = q(t), Cartesian Equation f(x,y), Intersection with axes, Constraint on t, Domain, Range, and Sketch. Five rows include parametric definitions such as x = tΒ² – 1, y = t(tΒ² – 1); x = 3 cos 2t, y = 2 cos t; x = 1 + 2tΒ², y = –3 + 4t; x = ln(t – 2), y = 1/(t + 1) with t > 3; and x = cot t, y = 3 sin t for 0 ≀ t ≀ Ο€, with other columns empty for completion.

second blank parametric equations worksheet in table format. Columns match the first sheet: x = p(t), y = q(t), Cartesian Equation f(x,y), Intersection with axes, Constraint on t, Domain, Range, and Sketch. Five rows include parametric definitions such as x = tΒ² – 1, y = t(tΒ² – 1); x = 3 cos 2t, y = 2 cos t; x = 1 + 2tΒ², y = –3 + 4t; x = ln(t – 2), y = 1/(t + 1) with t > 3; and x = cot t, y = 3 sin t for 0 ≀ t ≀ Ο€, with other columns empty for completion.

A new A level task.
Really enjoyed watching the students think about this one:
kshancock.co.uk/aleveltasks....
#MathsToday

01.03.2026 11:05 πŸ‘ 30 πŸ” 9 πŸ’¬ 2 πŸ“Œ 2
A grid of 16 practice questions involving generating difference types of sequences from their nth term.

A grid of 16 practice questions involving generating difference types of sequences from their nth term.

A strip of practice questions involving recurrence relations - generating sequences, writing recurrence formulae and solving problems.

A strip of practice questions involving recurrence relations - generating sequences, writing recurrence formulae and solving problems.

A strip of practice questions involving solving problems with quadratic sequences, including deciding whether numbers belong to sequences, finding nth term rules given some of the terms, and finding nth term rules for harder sequences.

A strip of practice questions involving solving problems with quadratic sequences, including deciding whether numbers belong to sequences, finding nth term rules given some of the terms, and finding nth term rules for harder sequences.

A strip of practice questions involving solving problems with arithmetic sequences, including finding nth term rules given some of the terms, arithmetic sequences with algebra, and solving worded problems.

A strip of practice questions involving solving problems with arithmetic sequences, including finding nth term rules given some of the terms, arithmetic sequences with algebra, and solving worded problems.

Lots of new sequences resources added to the site today:
✨Problems with arithmetic sequences
✨Problems with quadratic sequences
✨Recurrence relations
✨Generating different types of sequences
All freely available at www.draustinmaths.com/sequences
#MathsToday #UKMathsChat

01.03.2026 13:53 πŸ‘ 30 πŸ” 11 πŸ’¬ 0 πŸ“Œ 0
There are six small pink squares, and a larger tilted purple square which shares ones vertex with the bottom pink square. One vertex of the top pink square lies on the top edge of the purple square. A line from the bottom right vertex of the rightmost pink square makes an unknown angle with the left side of the purple square.

There are six small pink squares, and a larger tilted purple square which shares ones vertex with the bottom pink square. One vertex of the top pink square lies on the top edge of the purple square. A line from the bottom right vertex of the rightmost pink square makes an unknown angle with the left side of the purple square.

Seven squares. What’s the angle?
#geometrypuzzle

28.02.2026 09:24 πŸ‘ 36 πŸ” 12 πŸ’¬ 6 πŸ“Œ 0
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It's Newsletter time again with the latest news, views and resources from the Transum Mathematics world.

www.transum.org/Newsletter/?...

πŸ¦€ A Penguin and a Crab
πŸ¦€ Speed Skills
πŸ¦€ Crossing Bridges
πŸ¦€ Murmuration
πŸ¦€ Graph Transformations
πŸ¦€ Largest Product

There's a podcast too!

#mathstoday #mathchat

01.03.2026 02:15 πŸ‘ 2 πŸ” 1 πŸ’¬ 0 πŸ“Œ 0

In #MathsToday, my FM #ALevelMaths classes got totally absorbed doing the volumes of revolution β€˜CrackTheCode’ activity from @draustinmaths.com - thanks for sharing such great resources!

24.02.2026 20:44 πŸ‘ 7 πŸ” 1 πŸ’¬ 0 πŸ“Œ 0

#MathsToday does anyone know of a basic numeracy package that monitors progress, diagnoses gaps etc that could be used with KS3/4? If it could be run by a non specialist even better.

14.02.2026 12:50 πŸ‘ 5 πŸ” 6 πŸ’¬ 3 πŸ“Œ 2
Mathematical Miscellany #101 A compilation of mathematical goodies! It is so important that students check answers for reasonableness, yet they frequently don't. Examiners frequently report that students lose "easy" marks by providing answers that are physically or mathematically impossible. Checking answers can make a difference in students' grades. For example, always sanity-check real-world results. I once had a student calculate an individual’s height as 4 cm.

Mathematical Miscellany #101

A compilation of mathematical goodies! It is so important that students check answers for reasonableness, yet they frequently don't. Examiners frequently report that students lose "easy" marks by providing answers that are physically or mathematically impossible.…

22.02.2026 10:11 πŸ‘ 10 πŸ” 6 πŸ’¬ 1 πŸ“Œ 0
Exponentials and logarithms revision practice grid. Contains eight exam-style questions to aid students with A-level Maths revision.

Exponentials and logarithms revision practice grid. Contains eight exam-style questions to aid students with A-level Maths revision.

Line and circle geometry revision practice grid. Contains eight exam-style questions to aid students with A-level Maths revision.

Line and circle geometry revision practice grid. Contains eight exam-style questions to aid students with A-level Maths revision.

Algebraic methods revision practice grid. Contains nine exam-style questions to aid students with A-level Maths revision.

Algebraic methods revision practice grid. Contains nine exam-style questions to aid students with A-level Maths revision.

Quadratics revision practice grid. Contains eight exam-style questions to aid students with A-level Maths revision.

Quadratics revision practice grid. Contains eight exam-style questions to aid students with A-level Maths revision.

I've added a new section to the site today - A-level Revision. Over the next few months I hope to add to the revision resources, starting with four A-level grids - algebraic methods, quadratics, exponentials and logs, and circle geometry.
www.draustinmaths.com/revision
#ALevelMaths #MathsToday

20.02.2026 11:29 πŸ‘ 45 πŸ” 14 πŸ’¬ 2 πŸ“Œ 0
Printables - MathsBot.com A collection of customisable printable resources to aid the teaching of mathematics.

A growing collection of simple to use, printable resources.

Including ratio tables, clocks, isometric grids, number pyramids, part-whole models and loads more.

mathsbot.com/printableMenu

20.02.2026 08:08 πŸ‘ 5 πŸ” 3 πŸ’¬ 1 πŸ“Œ 0
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The @ttradioofficial.bsky.social Connect event on 14th March in Manchester is looking to be absolutely brilliant!
In the Maths Strand you'll hear from the wonderful teachers below, along with some brilliant main stage speakers.
The event is totally FREE!
Tickets at: www.ttradio.org/connect2026

19.02.2026 12:03 πŸ‘ 7 πŸ” 8 πŸ’¬ 1 πŸ“Œ 2
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All students applying for Maths at Cambridge will now be required to take TMUA as a preliminary assessment to help guide invitations for interview. This follows the news that the University of Oxford will use TMUA and not MAT. Both for 2027 entries.
#Alevelmaths
www.maths.cam.ac.uk/undergrad/ad...

18.02.2026 09:13 πŸ‘ 10 πŸ” 2 πŸ’¬ 1 πŸ“Œ 0
Examples of resources from gems post

Examples of resources from gems post

New! My 196th gems post. Ideas, updates and resources for maths teachers. πŸ’Ž

www.resourceaholic.com/2026/02/5-ma...

Hat tips to follow.

#mathstoday #ukmathschat #alevelmaths

17.02.2026 19:41 πŸ‘ 44 πŸ” 20 πŸ’¬ 3 πŸ“Œ 5
Crack the code resource suitable for A-level Further Maths students. There are ten questions on solving hyperbolic equations, and students then add the answers to get a three-digit code.

Crack the code resource suitable for A-level Further Maths students. There are ten questions on solving hyperbolic equations, and students then add the answers to get a three-digit code.

Plotting hyperbolic graphs resource suitable for A-level Further Maths students.

Plotting hyperbolic graphs resource suitable for A-level Further Maths students.

Cards resource suitable for A-level Further Maths students. There are twelve cards, three contain the definitions of hyperbolic functions and the remaining nine cards allow students to use the information to evaluate, differentiate and integrate hyperbolic functions.

Cards resource suitable for A-level Further Maths students. There are twelve cards, three contain the definitions of hyperbolic functions and the remaining nine cards allow students to use the information to evaluate, differentiate and integrate hyperbolic functions.

New A-level Further Maths resources added today:
✨Hyperbolic Functions Proof Cards
✨Plotting Hyperbolic Graphs Practice Grid
✨Solving Hyperbolic Equations Crack the Code
All available from www.draustinmaths.com/a-level-further-maths
#MathsToday #UKMathsChat #ALevelMaths

17.02.2026 18:01 πŸ‘ 21 πŸ” 9 πŸ’¬ 1 πŸ“Œ 0

Good morning friends. We are getting an extra hour a fortnight with Year 8 from September. We want to use the time to enrich the curriculum. I'm looking for interesting problem solving activities, possibly taking us outside the classroom. Any ideas gratefully received! #MathsToday

14.02.2026 10:48 πŸ‘ 7 πŸ” 6 πŸ’¬ 5 πŸ“Œ 0
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#Mathstoday
Year 11 had one more lesson on Vectors. (They had been over complicating it)
Did end up using the Dr Austin resources. Which I of course had to do first so my brain could get round all of the questions.

11.02.2026 16:18 πŸ‘ 13 πŸ” 2 πŸ’¬ 0 πŸ“Œ 0

You're welcome, Bernie! Thank you for your kind words.

09.02.2026 13:23 πŸ‘ 2 πŸ” 0 πŸ’¬ 1 πŸ“Œ 0
Worksheet for A-level Maths students to practice converting between exponential and logarithmic statements. The sheet contains both non-calculator and calculator questions.

Worksheet for A-level Maths students to practice converting between exponential and logarithmic statements. The sheet contains both non-calculator and calculator questions.

Worksheet for A-level students to practise solving equations involving exponentials and logarithms. Students then add together the twelve answers to get a three-digit code.

Worksheet for A-level students to practise solving equations involving exponentials and logarithms. Students then add together the twelve answers to get a three-digit code.

New A-level resources:
✨Solving Exponential and Logs Equations Crack the Code
✨Exponentials and Logs Fill in the Blanks
Made for my Year 12 class last week - hopefully of you to others too!
www.draustinmaths.com/a-level-maths
#ALevelMaths #MathsToday #UKMathsChat

09.02.2026 13:20 πŸ‘ 23 πŸ” 7 πŸ’¬ 0 πŸ“Œ 1
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Thanks for exploring mrhardymaths.co.uk this week -- I hope it's been useful in your classrooms. The video shows a bit of its functionality... do let me know if you'd like anything adding.

05.02.2026 21:56 πŸ‘ 10 πŸ” 3 πŸ’¬ 4 πŸ“Œ 0
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Some questions on plotting quadratics. #mathstoday #ukmathsteachers

08.02.2026 10:26 πŸ‘ 12 πŸ” 5 πŸ’¬ 0 πŸ“Œ 0
A picture of a bar model with 3 and 5 parts with the statement "Ann and Bob are sharing sweets".

Underneath are four statements, with blanks where numbers are to be placed by the teacher.

A picture of a bar model with 3 and 5 parts with the statement "Ann and Bob are sharing sweets". Underneath are four statements, with blanks where numbers are to be placed by the teacher.

I used this template slide to introduce sharing in a ratio with Y9 in #MathsToday (yesterday)

The "blank is best" approach to slides is a powerful tool for responsive teaching.

05.02.2026 22:13 πŸ‘ 13 πŸ” 4 πŸ’¬ 3 πŸ“Œ 1
Worksheets containing six questions involving finding volume and surface area of compound shapes. This worksheet includes cubes, cuboids and prisms with parts of cylinders.

Worksheets containing six questions involving finding volume and surface area of compound shapes. This worksheet includes cubes, cuboids and prisms with parts of cylinders.

Worksheet containing six questions involving finding volume and surface area of compound shapes. This worksheet includes cubes, cuboids and prisms.

Worksheet containing six questions involving finding volume and surface area of compound shapes. This worksheet includes cubes, cuboids and prisms.

✨NEW✨ resources added this morning - challenging volume and surface area questions involving all sorts of compound shapes. Find them at www.draustinmaths.com/volume-and-surface-area
#MathsToday #UKMathsChat

07.02.2026 09:01 πŸ‘ 32 πŸ” 9 πŸ’¬ 0 πŸ“Œ 0
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GCSE maths anxiety is rising, and teachers are feeling the pressure too. Maths Revolution shares simple, steady approaches that help students build confidence and stick with it. A reassuring read for anyone teaching GCSE this term.
Available 26 Mar 2026 @BloomsburyEd

05.02.2026 15:01 πŸ‘ 12 πŸ” 7 πŸ’¬ 2 πŸ“Œ 1

What’s everyone’s experience of students managing their maths exercise books? Loose worksheets are a problem. We’ve tried gluing in but then it can get costly. We’re currently trialing hole punching books and using treasury tags but students struggle with the dexterity needed & organisation. Ideas?

02.02.2026 20:34 πŸ‘ 4 πŸ” 3 πŸ’¬ 9 πŸ“Œ 0
Screenshot of a graphical calculator classroom task

Screenshot of a graphical calculator classroom task

New resources for #ALevelMaths on the @meimaths.bsky.social website - we've updated the Casio graphical calculator tasks with instructions for the CG100 mei.org.uk/resource/int...

30.01.2026 09:57 πŸ‘ 15 πŸ” 7 πŸ’¬ 0 πŸ“Œ 1
A screenshot of 30 questions testing basic skills needed to access the GCSE maths exam successfully.

A screenshot of 30 questions testing basic skills needed to access the GCSE maths exam successfully.

Three sets of increasingly difficult questions, designed to identify gaps in the basic skills needed to be successful on a GCSE paper.

All @tessmaths.bsky.social's idea.

mathsbot.com/gcse/skillsT...

31.01.2026 09:43 πŸ‘ 28 πŸ” 14 πŸ’¬ 1 πŸ“Œ 0

How exciting! Many congratulations, Catriona.

30.01.2026 20:03 πŸ‘ 1 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0
Update: What do you want to teach?
Update: What do you want to teach? YouTube video by Jonathan Hall

Update: Me demonstrating the new "What do you want to teach?" search functionality on the MathsBot homepage.

www.youtube.com/watch?v=pvnC...

30.01.2026 14:01 πŸ‘ 12 πŸ” 5 πŸ’¬ 0 πŸ“Œ 3

No experience of Uplearn, I’m afraid.

27.01.2026 15:04 πŸ‘ 0 πŸ” 0 πŸ’¬ 1 πŸ“Œ 0