Dave Taylor
@taylorda01
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16 years in Leeds secondary schools in challenging circumstances (2008-'24). Interim Head of Curriculum for Maths, AQA. (2024-present).
Leeds!
Joined October 2009
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I bloody love teaching scatter diagrams. It means I can pull out this classic.
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📢 Introducing... BACKWARD FADED EXAM PAPERS.
It's something that I think has legs, and the first drafts are online at .
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I love this when introducing scatter diagrams. If I could draw, I'd redesign this too!
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I made a 'homework' thing, which could also used as be a mini-assessment thing, back in 2017. 634 questions.
Find your question, type the code in the second tab and it will put the question and an objective in ready for printing.
Hope it's useful!
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My Backward Fading session at
#mathsconf28
in Gloucester ended 2 minutes ago, so now it's time to launch a new web site... Backward Faded Maths at
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I have some low attaining Y9 students who currently lack the mathematical proficiency and confidence for success at GCSE.
This 'Essentials Summer School' booklet could also be used for Y6 transition, or for other lower attaining students:
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Someone (sorry - no idea who!) shared a picture of this activity, and I wanted to have a better version for use in lessons, so I put it together.
Find the fraction of each shape which is:
a) black, b) grey, c) white
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GCSE Higher Revision Booklets - one question per topic from across the OCR spec.
I put these on TES last year, but thought a reminder might be timely. Bundles aren't free on TES, so I've added all links here:
#mathsTLP
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Teaching year 10 higher attainers last week.
Solving 2x + 2 > 8 (or something), and G writes 2x = 6, x = 3.
Me: "That's not right mate. x isn't equal to 3. What does that sign in the question mean? What is it?"
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I think that part of being a better human is being aware of similarities and differences between societies.
Pupils look at Roman Numerals in primary, but Cistercian numerals are a great way to hammer home that this is just how we symbolise numbers.
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For any fans of the Backward Faded Past Papers, a little present for you is on All About Maths.
2023 Higher and Foundation papers.
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This is, hands down, the best way that I've used past papers in my 16 years in the maths classroom.
I'll be using these...
🔹 in lessons until January mocks
🔹 as homework after January mocks until Easter
🔹 and then giving past papers as we get closer to exams.
📢 Introducing... BACKWARD FADED EXAM PAPERS.
It's something that I think has legs, and the first drafts are online at .
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Good morning everybody! NEW RESOURCES added to Backward Faded Maths at
The first of which is around volume of cuboids.
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Our Year 11 have just done a paper from June 2018. I'm teaching the equation of a circle to Year 11 this week. Both of these things reminded me to share these questions:
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If you're teaching Function Machines soon, you might get some mileage out of these clean, animated function machines:
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If you're due to teach calculating with upper and lower bounds soon, you might get some mileage out of this activity...
Focus on the diagonals to generalise for addition, subtraction, multiplication and division, and then switch 'maximise' to 'minimise'.
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Been for a walk by the local canal this morning. Noticed a number in the window. Thought of this example-problem pair to check pupils' understanding of place value.
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I think that my least favourite thing in the maths work room is when someone doesn't put the whole ream of paper in the photocopier.
My second least favourite thing is when someone says USE MINI WHITEBOARDS without giving any further instruction.
A long(ish) thread 🧵...
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I've been thinking a lot about success in maths lessons lately, and its role in motivating students.
Moreso, I've been thinking about how a repeated lack of success can lead to a severe lack of motivation.
Here's a couple of quick strategies to help. Add your own please!
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Having got through most of the IDQs, uploading them to the TES, I'm now going to start sharing ones created for my L2FM classes. I hope you enjoy them.
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With no classroom to go back to after Easter, my increased mental bandwidth is going to waste.
One thing on my mind at the moment is
@goteachmaths
Mark Maximisers.
I'd be giving these to pupils every day between now and their exams, rewarding those who return them.
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For ages, this was my favourite Increasingly Difficult Exercise. Now I'm not sure I have a favourite.
I like seeing the 'aha!' moment when it comes to equal parts.
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I don't mean to be *ahead of the curve*, but I've been teaching the Year 6 curriculum to secondary school students for the last 12 years.
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The more I think about this, the more I think that these are a game-changer as students use past papers. Independent revision, 'boosters'/revision sessions, 'holiday homework'...
Pages from exam papers, fully worked, interleaved with corresponding pages from shadow papers.
📢 Introducing... BACKWARD FADED EXAM PAPERS.
It's something that I think has legs, and the first drafts are online at .
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BREAKING: DfE releases grading procedures for 2021-22.
Pause the GIF to get your grade.
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As we get closer to exams (and let's face it, they're coming at us fast!) you might find these resources helpful...
One/a few question(s) on each topic across the specification to identify gaps in understanding at under 'GCSE Maths'.
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I'm looking at standard form with a shared group tomorrow. Here's an activity from their lesson:
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In case you're new here, you may have missed some resources I put out 6 years or so ago. All are available at
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Collected my daughter from school yesterday. "What have you done today at school, pudding?"
"Can't remember"
Later, with mum, she tells her that she's been learning about tally charts.
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You may, or may not, have noticed the 'GCSE Maths' tab on .
On there you'll find:
- a list of the most common topics across the three main exam boards,
- a link to the 'Maths Summer School', perfect for revision
- 'one exam question per topic' booklets.
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The IDEs/IDQs page at is now fully updated so you can CTRL+F and find activities, rather than scrolling through images.
Hope it proves useful!
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NEW RESOURCE: I've put together some booklets to support pupils' revision. One question from each topic across the Higher GCSE spec (non-2022 specific).
This one is 'Number':
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Little one has gymnastics on Saturdays, so I sit in the car and get some stuff done.
Looking at number lines and scales, before rounding, after half term, so made this task for them.
What number is the arrow pointing to?
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Want a nice activity as an ice-breaker? End of term lesson? Covering a lesson and finished with 10 minutes to go?
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NEW RESOURCE: 'Assessment Aid' Tests. ~45 marks across two short tests.
Inspired by
@Just_Maths
at
#MathsConf28
, I've made some short tests for pupils to practice using the 'assessment aids' as some of it is absolute garbage.
Happy Easter!
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I don't think I've ever felt so drained at the end of a two-week break from work.
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Launching the '4-mark Challenge' tomorrow. 4 marks a week that they didn't get on their mock for 18 weeks to get 72 more marks. '4-mark Friday' - how did you get yours?
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This might be an activity you want to use, too.
If you're teaching Function Machines soon, you might get some mileage out of these clean, animated function machines:
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NEW: More answers uploaded for Increasingly Difficult Exercises at
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Someone tweeted 'Operation Countdown' OHP slide. Re-made and attached. A decent plenary for the order of operations?
http://t.co/Ux8utE6rnc
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It's September, the start of the new academic year, and that can only mean one thing... New BACKWARD FADED MATHS... AND IT'S LIVE!
The first resource is around collinear points with vector geometry.
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Just added an 'Infinite Calculation Mat' spreadsheet to the GCSE Maths page on .
Press F9 to randomise the values and give students practice with basic arithmetic.
Factors, multiples, primes, sequences and shape names on the back.
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If you were at my Backward Faded Maths session today (v4
#MathsConf33
) and want to recap some stuff, there are videos up at .
Thanks to everyone who came along - overwhelmed by the number!
If you weren't there, and want to know more, you can watch them too.
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I added a little sticky note where I saw something of note, for me or our department, in
@EmathsUK
's Teaching for Mastery.
I ran out of sticky notes.
Looking forward to Teach, Do, Practise, Behave now!
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This week marks my last week in the classroom for a little while.
16 years and 2 terms in the classroom has been absolutely exhausting.
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5:50am.
My brain: Can you use Excel to show that multiplying two numbers between 0 and 1 gives an answer between 0 and 1?
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Curriculum... a thread 🧵
Since 2017 I've thought a lot about curriculum. In my sixteen years in the classroom, I've followed schemes of learning based on textbooks, from exam boards and 'for our kids'.
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I'm starting in a different role in a different school in September and spent the day there today (and I'm back tomorrow!)
I'm equally terrified and excited about the change, and thinking of blogging about it next year...
'New Beginnings' on the blog at
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Some work I did a little while ago identified these topics as the most common across AQA, EdExcel, OCR for Foundation GCSE Maths.
Direct and Inverse Proportion Problems in Context,
Money Problems in Context,
Powers and Indices (Squares, Cubes and Roots),
Ratio (Simplifying),
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I did the 'Opposite Corners' GCSE task with Year 11 this week.
That was fun to generalise.
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Back to work-mode ahead of a full-on 5 weeks?
Need something to make your lesson planning a little easier?
Dust off and get those IDQs and BFM tasks downloaded!
#mathstlp
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Working four days a week, tonight is the beginning of my weekend.
To celebrate, I've eaten a bar of chocolate, intend to go to bed at 9:15pm and have uploaded the first HIGHER TIER BACKWARD FADED EXAM PAPERS to .
Have a great weekend!
📢 Introducing... BACKWARD FADED EXAM PAPERS.
It's something that I think has legs, and the first drafts are online at .
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I've been doing a bit of poking around All About Maths this week.
The 'aiming for the next grade' resources for '3 to 4' and '6 to 7' might be useful over the next eight weeks.
Grade 3 to 4 ()
Grade 6 to 7 ()
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Right, maths-based 'projects'... Hit me with some resources please. Let's share them far and wide!
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If you're planning lessons this weekend, you might find the
#teachingTogether
podcast useful.
🟥 nth Term
🟧 Solving Two-step Equations
🟨 Angle Sum of a Polygon
🟩 +/- Fractions
🟦 Volume (Cuboids)
🟪 Translation
🟫 Prime Numbers
for episodes and slides
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I've had a lot of success with teaching solving equations using algebra tiles and zero pairs, and haven't used bar models so much.
Had difficulty showing (2x + 1)/3 = 5 with algebra tiles neatly, but gained some clarity whilst in the shower this morning with this image.
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So, I made a worksheet of things like this (image is the last of three columns) to be able to start from the basics with everyone...
Minimise each calculation, maximise each calculation, begin to generalise, and then move on to calculating with upper and lower bounds.
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NEW RESOURCE
#3
: I've put together some booklets to support pupils' revision. One question from each topic across the Higher GCSE spec (non-2022 specific).
This one is 'Algebra':
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I've been called many things in my time but I've never been called a 'master of' anything. Thanks
@mrbartonmaths
.
IDQs/IDEs are available here: or
RECE available here:
@JohnCattEd
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📢::: NEW PODCAST ALERT!
Episode 1, talking about my planning slide deck template, is on the Podcast page at .
New episodes drop on Fridays, reflecting on a lesson I've taught recently, and sharing the slide deck I used.
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The last tweet for this academic year about Increasingly Difficult Questions - they're at
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Over the last month or so I've collated Backward Faded Exam Papers and shared them at the bottom of the BFM page on
🟢 EdExcel: Summer 2018 F / November 2020 F / Summer 2018 H
🟡 AQA: November 2020 F
🔴 OCR: Summer 2019 F
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I couldn't be more excited to be joining the team. Thanks for having me aboard.
We are delighted to announce that
@taylorda01
has joined the La Salle team.
Dave will be working with the rest of the mathematics team to help support teachers and pupils in making mathematics teaching and learning even more effective and joyful.
Welcome, Dave!
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There are currently 40 backward faded maths exercises at with more to come after the half term break.
If you're interested in how backward fading works, see the video.
If you want to contribute to the site, send them across and I'll get them added.
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🧵HINTS vs. PROMPTS with Backward Fading:
You can improve the impact of example-problem pairs by about 30% by using backward fading as an instructional technique. But you can improve on your backward fading by about 12% on both near transfer and far transfer by using prompts.
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This isolation thing has given me a bit of time to look at things I wouldn't have had the time to. This time it's
@AQAMaths
' legacy qualification - Additional Maths, 9306. (2008 - 2011).
There's some super questions in there!
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This is your arbitrary reminder that Increasingly Difficult Questions are a thing that you can use in lessons.
On TES here:
On my web site here:
Sorry they've not been updated in about 2.5 years, but toddlers are time consuming!
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COVID hit, and boredom hit too.
As a result, Backward Faded Exam Papers has its own page (mouse over Backward Faded Maths and see the dropdown) at .
I've also added all EdExcel papers between Summer exams of '18 and '22 to the page. Enjoy!
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At the last (and first) TT Leeds, I asked attendees to choose a common poorly-taught topic and give some ideas as to how it could be taught better.
This is the first on division of fractions.
Any additional thoughts?
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No idea who to credit, but these tasks sparked discussions that really challenged students' understanding of coordinates today.
A great help before tackling horizontal and vertical line graphs.
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I was thinking about how combining ratios can be shown pictorially. I created this animation this morning. Any thoughts?
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@LaSalleEd
@RJS2212
@StudyMaths
@maths180
@Kieran_M_Ed
I think, as a profession, we owe a lot to
@mrbartonmaths
and
@mathsjem
for their contributions to improving mathematics teaching across the country.
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Any ECTs in your maths department that would benefit from a supportive community of other ECTs from across the country?
Our first Teaching Together exclusive to ECTs runs in August (Thursday 25th, 11am) with a view to supporting them over the coming year.
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I've added a new page to my web site. 'WHAT'S IN THE MIDDLE?'
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Teacher top tip. This hack will improve relationships within the department, 100% guaranteed.
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It's the weekend... time to release some BACKWARD FADED MATHS at .
Two new additions this week, starting with a response to a 'show that...' exam question involving the volume of spheres and density.
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I am
@Mannermatics
' guest on ResourceFULL
#6
at 8pm on Wednesday evening, in case you wanted to hear me talk about Increasingly Difficult Questions and other things.
To celebrate, and (unintentionally) mess with Tom's poster, I made myself a new Twitter avatar.
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Need an activity with a way in and increases in difficulty quickly? You need INCREASINGLY DIFFICULT QUESTIONS
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You know that feeling when Year 11's motivation seems to kick in?
Like, after their mocks they seem to realise what's important... And the response seems to be 'Now THEY get it!'.
Yeah, I don't think that's what happens.
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I'm heading in to my thirteenth year of teaching and I've been wholly inefficient in my planning for twelve years.
I've written, designed, rewritten and redesigned lessons for each lesson I've taught over those years.
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The focus in maths teaching shouldn't be fully on the teaching of a new idea. This is something that's done well.
The focus should be on how it is then revisited over time to allow consolidation of that idea. This is where resources and direction are lacking.
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Here is your 'every once in a while' reminder that Increasingly Difficult Questions (which may or may not do the job you're looking to do) are available at
They could be very useful as you welcome students back into your classrooms.
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I've been thinking a lot about how to get over the issues highlighted in the image below.
After just four weeks, if you're massing, students are performing at a level less than half of what they were.
So... how can I get spacing right?
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#MathsConf23
Is there speed dating?
If so, I've got Increasingly Difficult Questions to offer at . They're all on TES too if you'd like to leave a review.
If not, check out IDQs: . They're all on TES if you'd like to leave a review.
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📢 NEW BLOG: Thinking About Assessment Feedback Lessons
It's been a while, but I've written a new blog. I want to improve my assessment feedback lessons.
to read.
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Happy half term, folks!
As a gift, from me to you, to celebrate getting through the longest half term in a new school, you might like to reminded about this resource, which could help you easily set homework.
I made a 'homework' thing, which could also used as be a mini-assessment thing, back in 2017. 634 questions.
Find your question, type the code in the second tab and it will put the question and an objective in ready for printing.
Hope it's useful!
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It might be a little late in the school year, but I've curated a new page and it might be useful for pupils that you want to keep going over Summer.
📢Introducing...
The web site consists of... 🧵
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NEW PAGE: I've added a homework creation tool with a question bank to . Any feedback would be amazing!
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@EmathsUK
I think it's inappropriate not to show students maths outside of school level maths.
Imagine limiting students' reading, or art, or science in the same.
'Hey sir, I saw this thing about the Higgs-Boson on the news. Can you...?'
'No, sorry, that's not on the exam.'
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Nothing new added (in about 6 years!), but Increasingly Difficult Questions are at
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@mathsjem
I used to run this one lunch time per week. The overlap with GCSE was helpful, and the additional content I took a little longer over.
I've uploaded all of the sheets that I made to . This may be useful to you, but no bother if not.
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