Amanda Austin
@draustinmaths.com
1.6K followers 750 following 130 posts
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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draustinmaths.com
Oh no! I’m sorry 😞
draustinmaths.com
✨New A-level resources from this week's Year 12 lessons on graphical inequalities, algebraic fractions and algebraic division. The new A-level section is slowly growing! www.draustinmaths.com/a-level
#MathsToday #ALevelMaths #UKMathsChat
A-level Maths task on finding the remainder when dividing a polynomial by a linear expression using algebraic long division. A-level Maths task on shading regions in two dimensions divided by linear and quadratic inequalities. A-level Maths tasks on (i) solving linear and quadratic inequalities graphically, and (ii) simplifying algebraic fractions either by splitting the fraction or by factorising.
draustinmaths.com
Friday night update! Some new algebra resources:
✨Expanding Brackets Name the Film
✨Factorising Decode the Joke
✨Factorising with Bracketed Factors Practice Strips
✨Factorising Quadratics Practice Grid
Freely available at www.draustinmaths.com
#mathstoday #ukmathschat
Reposted by Amanda Austin
kevfieldmusic.bsky.social
Hi Maths folk, does anyone know of handy booklets to use for A-level maths intervention? Hoping for something that has questions that are easier and then build up to more exam style? Thanks for any help (also anything for Alevel FM would be appreciated)
@mathsjem.bsky.social @drbennison.bsky.social
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mrs-p-maths.bsky.social
I had a tough lesson with low ability y8 on Tuesday unsuccessfully trying to find circumference of a circle but tried again in #MathsToday and thankfully the relentless work done on what is radius and what is diameter paid off. Made this sheet inspired by @draustinmaths.com fill in the blank sheets.
Reposted by Amanda Austin
sxpmaths.bsky.social
@draustinmaths.com Thank you for generously sharing all your resources - your site was my first thought when students needed more practice on building up sketches of quadratics!
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etzsmc.bsky.social
More free resources for students preparing for TMUA Paper 2 logic: two MCQ review tests on the key topics, including necessary and sufficient conditions; counterexamples; contrapositive; converse; quantifiers and negation; logically equivalent statements. Answers too.

www.tes.com/teaching-res...
Reposted by Amanda Austin
etzsmc.bsky.social
Supporting students for the upcoming TMUA/MAT maths entrance exams? Two free resources to help (both with answers) at

www.tes.com/teaching-res...

and

www.tes.com/teaching-res...
Reposted by Amanda Austin
ridermeister.bsky.social
That time of year again...

Please share the below booklet with any pupils thinking of studying maths at universities that use interviews as part of the admissions process.

www.drfrost.org/downloadable...

#MathsToday #AlevelMaths
Dr Frost Learning
Dr Frost provides an online learning platform, teaching resources, videos and a bank of exam questions, all for free.
www.drfrost.org
Reposted by Amanda Austin
lasalleed.bsky.social
📣 #MathsConf39: The Best That Has Been Taught and Shared with Nathan Day (@nathanday314)

Explore all-time great maths tasks, why they work, and how to adapt or design your own to enrich lessons & inspire learners.

completemaths.com/community/ma...

#UKMathsChat
Reposted by Amanda Austin
giftedhko.bsky.social
Made this for my year 11. Not the most exciting and not a lot of variety in types but they wanted practice factorsing with quadratics mathshko.com/2019/10/04/alg…
Reposted by Amanda Austin
nathanday.bsky.social
In #MathsToday, Year 12 tackled some Underground Maths tasks on inequalities.

Inequality sets: undergroundmathematics.org/polynomials/...

Inequalities for some occasions:
undergroundmathematics.org/quadratics/i...

I always find with their tasks there's more to them than initially meets the eye.
A three-circle Venn diagram labelled A, B, and C inside a rectangle. Each region represents inequalities with certain properties:
	•	A: the solution set is a subset of x \leq 1.
	•	B: the solution set is of the form a \leq x \leq b.
	•	C: the inequality is satisfied by x = 4.

Below the diagram is a set of numbered inequalities in boxes. The task is to place each inequality into the correct region of the Venn diagram according to the properties of its solution set.

https://undergroundmathematics.org/quadratics/inequalities-for-some-occasions A table with three columns: “Solution set”, “Graph”, and “Inequality”. Each row must be completed so that it contains:
	•	a solution set written in set notation,
	•	a graph showing a function or curve to help solve the inequality,
	•	the inequality itself.

Some rows are partially filled with either a solution set, a graph, or an inequality, and the student must fill in the missing parts to match them consistently.

https://undergroundmathematics.org/polynomials/inequalities
draustinmaths.com
In #MathsToday (this week) it's been Maclaurin series with Year 13 FM, quadratics with Year 12, and upper and lower bounds with Year 9. A couple of ✨new✨ practice strips made and added to the site - truncating numbers and using bounds to find a suitable degree of accuracy. #UKMathsChat #ALevelMaths
Reposted by Amanda Austin
mathsjem.bsky.social
New! My 192nd gems post. Ideas, updates and resources for maths teachers. 💎

www.resourceaholic.com/2025/09/5-ma...

Hat tips to follow.

#mathstoday #ukmathschat #alevelmaths #iteachmath
Pictures from blog post
Reposted by Amanda Austin
catrionaagg.bsky.social
Wednesday was a very quiet day for me, but I enjoyed playing investigators with Y7. Everyone had to write a sequence that began 10,20… and then we tried to guess the rule that they had used. #MathsToday
Three sequences:
10,20,10,20,10…
10,20,40,70,110,…
10,20,31,43,56,…
Reposted by Amanda Austin
morrismaths359.bsky.social
#MathsToday
Year 8 looked at Square numbers and used them to problem solve sums.
Reposted by Amanda Austin
nathanday.bsky.social
In #MathsToday, Year 12 looked at some graph intersections and solving some simultaneous equations, and then sketching the graphs!
A maths worksheet titled “Simultaneous Equations & Points of Intersection.” It shows a grid where different pairs of equations intersect, and the task is to fill in the correct intersection points from a list of given coordinates. Some boxes are shaded and students must explain how many intersection points there are, without calculating the coordinates. The previous task, but with answers. An image of the graphs from the task.
Reposted by Amanda Austin
catrionaagg.bsky.social
Tuesday’s lesson with Y12 was something no we talked about lots in last years A Level Pedagogy Work Group - the importance of explicitly teaching pupils how to sketch graphs. Was also good to teach them Desmos skills like rescaling the axes. #MathsToday #ALevelMaths
y = (x - 2)(x+ 3)(2x+ 1)(x-5)
Accurately plotted graph on the left and a sketch on the right. 

Text below the pictures reads:

Lose the detail
• No scale on axes
Keep the important features
• Shape
• Intercepts
• Turning points Plot these graphs in Desmos and then make a sketch.
y = (x - 2)(x + 3)(x- 5)
y = (x - 2)(x + 3) (5 - x)
Write down the key similarities and key differences between the graphs.

Similarities :
• only one y-intercept 
• Similar shape
• intercept x-axis in same place
• two turning points...
• ...at same x-values

Differences:
• one 'positive', one 'negative'
• reflections in y-axis
• different y-intercepts
• As x → infinity, one increases but one decreases Plot these graphs in Desmos and then make a sketch.
Write down the key similarities and key differences between each pair


y = (x+ 3)(3x+ 3)(3x+1)
y = (x - 3)(3x - 1)

y = x(x - 4)(x + 3)(x + 2)
y = x(x - 4)(x + 3)

y = (x + 10)(x + 100)
y = (x + 100)(x + 1000)

y = x(x - 17) (3x + 1)(2x - 1)
y = x(17 - x)(1 + 3x)(1 - 2x)

y = (x + 3)(x + 34)(x + 35)
y = (x + 3)(x + 34)^2

y = x(x - 2)^2 (5x + 8)
y = x(x - 2)(5x + 8)^2

y = (x - 1)^2 (x - 5)(x+ 6)
y = (x - 1)^3 (x - 5)(x +6)

y = (2x + 3)^3 (4x - 1)^2
y = (2x - 1)^3 (4x + 3)^2
Reposted by Amanda Austin
morrismaths359.bsky.social
#Mathstoday
The year 10s were working on finding the surface area of sphere's, cylinders and comes using Dr Austin's brilliant worksheet.
The lesson before was finding the volume.
Reposted by Amanda Austin
morrismaths359.bsky.social
#Mathstoday Year 11 did some Histogram work with the lovely Dr Austin Plotting Histogram sheet and Plotting incomplete Histograms. Put it double sided on A4 paper and it worked great.
Reposted by Amanda Austin
rlmathematics.bsky.social
Hi maths teachers. I don't suppose anybody would ever willing to share a lesson on telling the time on an analogue clock for year 7 (set 9 of 9), please. My laptop has broken, yesterday of all days, so I am in a bit of a pickle this week. Thank you in advance
Reposted by Amanda Austin
morrismaths359.bsky.social
#Mathstoday
Year 10s got to look at area and the circumference of circles. Got to use one of my favourite pages of Mathsbot. (Any chance you can add an option for semi-circle or quarter circle Jonny)
draustinmaths.com
As always, if you spot any errors, or broken/missing links, or have any feedback then please let me know. And good luck to everyone getting back to school (or, like me, starting a new school) this week.. Enjoy!
#UKMathsChat #MathsToday
draustinmaths.com
I've made a couple of changes over the summer:
✨A new homepage with a What's New section so you can easily see what's been added recently
✨A bigger focus on KS5 with separate pages for A-level Maths and Further Maths, with lots of new resources, particularly for Further Maths. #ALevelMaths
2/3