Formal angle notation
I can use conventional terms and notations for lines, rays, segments and angles.
Formal angle notation
I can use conventional terms and notations for lines, rays, segments and angles.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- It is important to use and understand the mathematical word line.
- It is important to use and understand the mathematical word ray.
- It is important to use and understand the mathematical phrase line segment.
- It is important to use and understand the mathematical word angle.
Keywords
Line - A line is a straight 1D figure that does not have a thickness, and it extends forever in both directions.
Ray - A ray is a part of a line with a fixed starting point that extends forever in one direction.
Line segment - A line segment is a part of a line with a fixed start point and a distinct fixed end point.
Common misconception
I can draw a 7 cm line with my ruler.
A line is a linear path that continues forever in both directions. We can draw line segments with a ruler, which have distinct endpoints.
To help you plan your year 8 maths lesson on: Formal angle notation, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 8 maths lesson on: Formal angle notation, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
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Explore more key stage 3 maths lessons from the Geometrical properties: polygons unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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Starter quiz
6 Questions
size of angle $$\text{ }d$$° -
154°
size of angle $$\text{ }e$$° -
26°
justification for size of angle $$d$$ -
angles about a point on a straight line sum to 180°
justification for size of angle $$e$$° -
vertically opposite angles are equal
not an angle on this diagram -
52°
size of angle $$\text{ }g$$° -
78°
size of angle $$\text{ }h$$° -
24°
justification for angle $$g$$° -
half of the angle that is vertically opposite 156°
justification for angle $$h$$° -
angles about a point on a straight line sum to 180°
not a complete justification -
vertically opposite angles are equal
not angle $$\text{ }g° \text{or }h°$$ -
156°
isosceles -
another angle of 40° and one 100°
scalene -
one angle of 82° and another of 58°
right-angled scalene -
an angle of 90° and one of 50°
equilateral -
impossible to have this triangle with an angle of 40°
Exit quiz
6 Questions
linear path A -
ray
linear path B -
line
linear path C -
line segment
∠CAD -
$$b$$°
∠EAD -
$$c$$°
∠BAC -
$$a$$°
∠BAD -
$$(a + b)$$°
∠HFI -
87°
∠GFI -
155°
∠HFJ -
179°
∠GFJ -
113°
reflex ∠GFJ -
247°
acute -
∠MKN
right angle -
∠LKP
obtuse -
∠MKP
reflex -
100° + $$\theta$$°
CD -
Line segment parallel to BF
EF -
Line segment perpendicular to CD
BG -
Line segment with a length of 5 units
EG -
Line segment parallel to AB