Website updates

Rewrote and reformatted:
- N5 Sine rule
- N5 Cosine rule
- N5 Bearings
- N5 Trig equations
- N5 Trig identities

Added or improved graphics:

- N5 Line of best fit
- N5 3D coordinates
- N5 Vectors

Website update:

Changed the wording on the feedback buttons from "This solution was helpful" to "I understand this solution”.

- More student-oriented
- More of a micro-reward for effective study
- More likely to promote active learning
- Still gives me actionable feedback.

Website updates:

Rewrote and reformatted:
- N5 Completing the square
- N5 Quadratics
- N5 Trig graphs

Added or improved graphics:
- N5 Quadratics
- N5 Pythagoras
- N5 Sine rule
- N5 Cosine rule
- N5 Bearings
- N5 Area of triangle
- N5 Trig graphs

The 👍 and 👎 buttons below each worked solution went live a week ago.

Total 2041 votes, breaking down as 1974 👍 and 67 👎.

Most solutions with a 👎 have been reviewed and improved.

I’m loving the new dynamic. Improving the website now feels like a shared social endeavour. 😊

Thanks to Peebles High School for saying that Maths.scot and National5Maths.co.uk are “excellent websites.” peebleshighschool.com/exam-prepara...

Thanks also to Aidan Healy Tutoring for describing Maths.scot as “the best free resource available.” aidanhealytutoring.com

Website updates:

Rewrote and reformatted:
- N5 Algebraic Fractions
- N5 Change of Subject
- N5 Simultaneous Equations

Added graphics to worked solutions:
- ASTC diagrams for N5 Trig Graphs
- 3D shapes for N5 Volume
- Graphs for Higher Quadratic Inequalities

The server on which Maths.scot resides is currently being migrated. There is a possibility of some downtime today. Advance apologies for any inconvenience.

Only 48 hours since 👍 and 👎 buttons were added to worked examples, but already they’re proving their worth.

8 👎 votes so far, and upon review, 6 of these worked examples weren’t quite up to scratch. They have been improved and their vote counters reset. I’ll keep monitoring.

www.maths.scot

Website update:

All this improvement work made me want to find out from users which solutions are more or less helpful, so I’ve taken a break from the N5 rewrite to install a feedback feature.

First few votes received, and it’s true: Higher Circles eg.7 could still be clearer.

Website update:

Rewrite of N5 Maths topic pages now underway, bringing the quality of each worked solution up to the same “textbook quality” as Higher Maths and AH Maths, after their recent improvements.

Today: Straight Line and Linear Equations. This will take a while!

Website update:

All worked examples on the Higher Maths section now have subtopic subheadings.

This concludes the upgrades of the Higher Maths and Advanced Higher Maths sections.

Next job: implement some (probably not all) of these refinements on the N5 Maths pages.

Major updates for Advanced Higher Maths:

- massively expanded content
- improved typesetting and layout
- subtopic subheadings for worked examples, for easier focus on specific skills
- error corrections, extra clarity, further study suggestions and historical notes

www.maths.scot/advanced-hig...

Thanks. The paper 2 solutions start on page 3 of that document.

Major website update:

- Upgraded Higher Maths pages from MathJax 3 to MathJax 4

- Modernised the mathematical font

- Improved the layout

- Took the opportunity to reword/ restructure many questions, and to revise many solutions, enhancing clarity.

www.maths.scot/higher-maths

Website update:

Opened a can of worms by starting the upgrade process from MathJax 3 with its fussy TeX font to MathJax 4 STIX2 font, customised for boldness and to integrate with body text.

Only on Higher Maths so far:
www.maths.scot/higher-maths

“I may be gone for some time.”

Website update:

Added 12 Higher Maths worked examples.

1 × Logs & Exponentials
5 × Vectors
3 × Straight Line
3 × Circles

www.maths.scot/higher-maths

Each N5, H or AH worked example now has its own URL.

eg. To point your students only to the rationalising the denominator examples within N5 Surds:

- Visit www.maths.scot/nat5/surds
- Click the 'Copy Link' icon beside each example that you want.
- Paste into Teams or Classroom.

Am working on a feature to enable direct links to each worked example.

eg. if you want your Higher class to study this optimisation solution, just link to it from Google Classroom:

www.maths.scot/higher/diffe...

Getting the URL is as simple as pressing the icon beside each example.

Clipart in a worksheet? Bright colours? I must be going soft in my old age!

N5 Applications of Maths
Numeracy: Fractions
Making fractions add to 1.

www.maths.scot/pdf/n5apps/o...

www.maths.scot/pdf/n5apps/o...

Another great “masterclass” video from @Clelland Maths: youtu.be/4o5LKdk4riI

The video works through all 25 Higher Maths Polynomials & Quadratics questions from www.maths.scot/higher/polyn...

Each video solution is also linked from the written solutions on Maths.scot.

Website update:

Added 17 Higher Maths worked examples:
1 × Circles
2 × Differentiation
2 × Functions & Graphs
5 × Integration
3 × Logs & Exponentials
3 × Polynomials & Quadratics
1 × Sequences

Added 2 AH Maths worked examples:
1 × Partial Fractions
1 × Systems of Equations

N5 Arcs & Sectors

I prefer “sector equals fraction of circle” to the ratio approach that, I concede, connects with the sine rule and probably made 2024 P2 Q15 easier.

It’s a philosophical preference, really. I’d rather maximise understanding, even if it’s “harder”.

Thoughts?

Website updates:

16 new worksheets for N5 Applications

3 new N5 Maths worked examples (bearings, triangle area)

6 new AH Maths worked examples (number theory, Maclaurin series, complex numbers)

10 new AH Maths worksheets, with worked solutions.

How best to explain rounding 21.983 to 1 decimal place?

I tend to say:

- Imagine a ‘cut-off line’: 21.9 | 83.
- We’re rounding up because 8≥5.
- Imagine 21.9 without its point, as 219.
- Add 1 to get 220
- Put the point back again. It’s 22.0.

Can you improve this?

Website update:

Expanded and restructured the “Notes and videos” sections on the Higher Maths and Advanced Higher Maths topic pages.

For example: www.maths.scot/higher/strai...

Website update:

While tutoring yesterday evening, I saw one of my Higher Maths students scroll up and down the main Higher Maths page looking for the link to past papers.

So I’ve redesigned the “menu pages” for N5 Maths, H Maths and AH Maths to make such links more obvious.

2×24 + ½ of 24
= 48 + 12
= 60

or

2.5 × 24
= 2.5 × 4 × 6
= 10 × 6
= 60

or

2.5 × 24
= (2.5 × 4) × (24 ÷ 4)
= 10 × 6
= 60

I like your idea though. The best I can do is (e^π)(τ^2).

Isn't that about 55?

Website update:

Added all SQA Intermediate 2 past papers 2000-2015 and all Standard Grade Credit past papers 1996-2013 - for the keenest N5 Maths students!

Most with SQA marking instructions. That failing, worked solutions. That failing, brief answers.

www.maths.scot/national-5-m...