Chapter 7: Angle facts and parallel lines
Angle diagrams are chains of reasons: each value should follow from a named fact.
Part of your national curriculum
- Geometry and measures: Apply the properties of angles at a point, on a straight line, vertically opposite angles, and angles in parallel lines
Lesson overview
What you'll learn in this lesson
Apply the properties of angles at a point, on a straight line, vertically opposite angles, and angles in parallel lines
Key learning points
- • Core facts
- • Parallel lines
- • Write the reason
This lesson at a glance
- 30 minutes
- 17 parts to scroll through
- 3 quick checks
- Marked quiz at the end
- Gentle pace: short sittings with pauses
Words to know
Scroll down — the lesson carries on below
Watch & discover
Part 1 of 17
Visual introductionPicture this
Chapter 7: Angle facts and parallel lines
Angle diagrams are chains of reasons: each value should follow from a named fact.
In a nutshell
Apply the properties of angles at a point, on a straight line, vertically opposite angles, and angles in parallel lines
Learning cycle
Part 2 of 17
Learning cycle 1 of 2
Part 1 · Core facts
A short piece of teaching, then a check to make sure it has landed.
Explore the idea
Part 3 of 17
Learn
Core facts
Angles on a straight line total 180°, around a point total 360°, and vertically opposite angles are equal.
Reset break
Part 4 of 17
Pause
That's sitting 1 of 4 done
Stretch, get a drink, look out of the window. There is no timer and nothing is counting down — your place is saved, so you can come back in five minutes or tomorrow.
Explore the idea
Part 5 of 17
Learn
Parallel lines
When a transversal crosses parallel lines, corresponding and alternate angles are equal; co-interior angles total 180°. Arrow markings are essential evidence that lines are parallel.
Quick check
Part 6 of 17
Quick check
Part 7 of 17
Reset break
Part 8 of 17
Pause
That's sitting 2 of 4 done
Stretch, get a drink, look out of the window. There is no timer and nothing is counting down — your place is saved, so you can come back in five minutes or tomorrow.
Learning cycle
Part 9 of 17
Learning cycle 2 of 2
Part 2 · Write the reason
A short piece of teaching, then a check to make sure it has landed.
Explore the idea
Part 10 of 17
Learn
Write the reason
Do not merely calculate. State, for example, x = 68° because alternate angles between parallel lines are equal.
Quick check
Part 11 of 17
Reset break
Part 12 of 17
Pause
That's sitting 3 of 4 done
Stretch, get a drink, look out of the window. There is no timer and nothing is counting down — your place is saved, so you can come back in five minutes or tomorrow.
Challenge round
Part 13 of 17
Game · Sort it
Which of these are true?
Drag each card into the right column. Tap a card first if dragging is fiddly.
True
Not true
Challenge round
Part 14 of 17
Game · Fill the gaps
Finish the sentences
Choose the word that belongs in each gap.
____ on a straight line total 180°, around a point total 360°, and vertically opposite angles are equal.
Challenge round
Part 15 of 17
Game · Recall cards
Angles on a straight line total:
Card 1 of 4
Mastery quiz
Part 16 of 17
Marked quiz
End of lesson quiz: Chapter 7: Angle facts and parallel lines
4 questions, marked with the reasoning shown. No timer.
1. Angles on a straight line total:
2. Vertically opposite angles are:
3. Co-interior angles between parallel lines total:
4. Two angles on a straight line are x and 65°. What is x?
Lesson round-up
Part 17 of 17
Lesson round-up
Ready when you are
Quiz score
Not sat
Games
Not played
Points this lesson
0
Best run
0 in a row
Luna: 0 out of 3 on the practice checks. Only if you feel up to it — one more?
Ask LunaPart 1 of 17 · Watch & discover
How this is going
- Not looked at yet
Apply the properties of angles at a point, on a straight line, vertically opposite angles, and angles in parallel lines