Angles in Parallel Lines and Polygons

Home → Curriculum Hub → Maths Lessons → Schemes of Work → Key Stage 3 → Angles in Parallel Lines and Polygons

This Key Stage 3 Angles in Parallel Lines and Polygons scheme of work brings together the lessons I use when I want students fluent using parallel-line angle facts and then moving into interior and exterior angles in polygons. The page sets out the prior angle work I check first, the ideas I keep underlining in class, and how this unit sits in the wider KS3 geometry strand. The individual lesson files—presentations, worksheets and where available online practice—are all in one place for Mr Mathematics members, which is how I run my own planning.

Use it as a departmental reference: work through the lessons in the order below unless your department staggers this unit, and cross-link to earlier angle work when students need a reminder on base facts at a point, on a straight line or in a triangle. Everything here describes the unit at a glance—the individual lesson pages hold the presentations, worksheets and tutorials.

Related Blog:

• Teacher’s Guide to Problem Solving with Angles in Geometry

For more schemes and topic routes across KS3, GCSE and A-Level, browse the Mr Mathematics Curriculum Hub.

How to use this scheme

Read the four summary cards first so you are clear on vocabulary and the angle relationships you will reuse in every question. Then follow the lesson list in order, or split the parallel-line lessons and polygon lessons across terms if that fits your timetable—just keep the language in the key concepts card consistent. When you are ready to open the full files, Mr Mathematics membership is the same access I use. Jump to the list when you only need titles for a scheme meeting.

Mr Mathematics membership

Presentations, worksheets, question generators and video tutorials for the lessons in this unit are available to members. Explore Mr Mathematics membership if you need full access to the library and schemes of work.

If you are comparing options for a department, the membership page spells out the download library so you can weigh this unit against the rest of your KS3 offer.

Frequently asked questions

How do I use this scheme page in practice?

Use it as the map, not the lesson. Check prerequisite knowledge, align the key-concepts language with your department, then teach the lessons in the list—or adapt the order if your scheme splits parallel lines and polygons. Open each lesson from its own resource page when you need the presentation or worksheet.

What should students already know before this unit?

They should be confident measuring and interpreting angles, using angle facts at a point and on a straight line, and working with the angle sum in a triangle—this unit extends those ideas into transversals and polygons rather than starting geometry from scratch.

Where are the lesson presentations and worksheets?

Each lesson in the list below has its own page on Mr Mathematics with downloads and, where available, an online lesson and question generator. Access matches your membership level, the same as I use when I teach the unit from my own plan.

Can I change the order of the lessons?

Yes, if your department timetable needs it. Often I teach the two parallel-line lessons first, then exterior before interior, and leave the problem-solving lesson for when both polygon ideas are in place—if you reorder, check that students still meet exterior-angle facts before you expect them to link interior and exterior in harder questions.

Lessons in this Angles in Parallel Lines and Polygons scheme of work

Lesson titles as listed for this scheme—open each from the site when you are ready to teach.

• Corresponding Angles in Parallel Lines
• Alternate and Interior Angles in Parallel Lines
• Exterior Angles of Polygons
• Interior Angles of Polygons
• Problem Solving with Angles of Polygons