Geometric language, sketching and construction
Maths has its own shorthand for shapes — arrows for parallel lines, little squares for right angles — so a sketch can say as much as a paragraph.
Part of your national curriculum
- Geometry and measures: Describe, sketch and draw using conventional terms and notations: points, lines, parallel lines, perpendicular lines, right angles, polygons, reflections and rotations
Lesson overview
What you'll learn in this lesson
Describe, sketch and draw using conventional terms and notations: points, lines, parallel lines, perpendicular lines, right angles, polygons, reflections and rotations
Key learning points
- • Notation basics
- • Transformations
- • Worked example
This lesson at a glance
- 22 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
Geometric language, sketching and construction
Maths has its own shorthand for shapes — arrows for parallel lines, little squares for right angles — so a sketch can say as much as a paragraph.
In a nutshell
Describe, sketch and draw using conventional terms and notations: points, lines, parallel lines, perpendicular lines, right angles, polygons, reflections and rotations
Learning cycle
Part 2 of 17
Learning cycle 1 of 2
Part 1 · Notation basics
A short piece of teaching, then a check to make sure it has landed.
Explore the idea
Part 3 of 17
Learn
Notation basics
Parallel lines are marked with matching arrows (>>). Perpendicular lines meet at a right angle, shown with a small square. A polygon is a closed shape made of straight sides, such as a pentagon (5 sides) or hexagon (6 sides).
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
Transformations
A reflection flips a shape over a mirror line, producing a mirror image the same distance from the line. A rotation turns a shape around a fixed centre point by a given angle, such as 90° clockwise.
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 · Worked example
A short piece of teaching, then a check to make sure it has landed.
Explore the idea
Part 10 of 17
Learn
Worked example
Point A(2,3) is reflected in the line x = 0 (the y-axis). The y-coordinate stays the same and the x-coordinate changes sign: the image is A'(-2, 3).
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.
____ lines are marked with matching arrows (>>).
Challenge round
Part 15 of 17
Game · Recall cards
How are parallel lines marked in a diagram?
Card 1 of 3
Mastery quiz
Part 16 of 17
Marked quiz
End of lesson quiz: Geometric language, sketching and construction
3 questions, marked with the reasoning shown. No timer.
1. How are parallel lines marked in a diagram?
2. Point A(2,3) is reflected in the y-axis (x = 0). What is the image?
3. What symbol usually shows a right angle in a diagram?
Lesson round-up
Part 17 of 17
Lesson round-up
Ready when you are
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Ask LunaPart 1 of 17 · Watch & discover
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Describe, sketch and draw using conventional terms and notations: points, lines, parallel lines, perpendicular lines, right angles, polygons, reflections and rotations