New
New
Year 10
Higher

Checking and securing understanding of accurate drawings

I can accurately construct circles and triangles using a pair of compasses and protractor respectively.

New
New
Year 10
Higher

Checking and securing understanding of accurate drawings

I can accurately construct circles and triangles using a pair of compasses and protractor respectively.

Lesson details

Key learning points

  1. A pair of compasses can be used to draw a circle with a particular radius.
  2. A ruler and protractor can be used to accurately draw a triangle given enough information.
  3. A ruler and a pair of compasses can also be used to accurately draw a triangle where the side lengths are known.

Common misconception

Pupils read from the incorrect values on the protractor.

Encourage pupils to consider the type of angle they are drawing. If it is an acute angle, will it really measure 122°?

Keywords

  • Pair of compasses - A pair of compasses is a tool which can be used to draw circles and arcs. A pair of compasses is sometimes referred to just as a compass.

  • Radius - The radius is any line segment that joins the centre of a circle to any point on its circumference.

  • Congruent - If one shape can fit exactly on top of another using rotation, reflection or translation, then the shapes are congruent.

  • Arc - An arc is part of a curve. An arc of a circle is part of the circle’s circumference.

Although there is some space on the worksheet for pupils to complete the tasks, it may be easier for them to do this in their exercise books or on additional paper. If completed on additional paper, this work could be used as part of a display.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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6 Questions

Q1.
A pair of is a tool which can be used to draw circles and arcs.
Correct Answer: compasses
Q2.
The is any line segment that joins the centre of a circle to any point on its circumference.
Correct Answer: radius
Q3.
An is part of a curve or part of a circle’s circumference.
Correct Answer: arc
Q4.
What is the size of the marked angle?
An image in a quiz
Correct answer: 74°
86°
106°
114°
Q5.
Which edge has length 5 cm?
An image in a quiz
AC
CB
Correct answer: BA
Q6.
Which angle is 68°?
An image in a quiz
∠JKL
∠LKJ
Correct answer: ∠KJL

6 Questions

Q1.
What is the size of the marked angle?
An image in a quiz
44°
56°
Correct answer: 136°
144°
Q2.
Jacob has got his pair of compasses ready to draw a circle. Which statements will be true?
An image in a quiz
The radius will be 3 cm.
Correct answer: The radius will be 6 cm.
The radius will be 12 cm.
The diameter will be 6 cm.
Correct answer: The diameter will be 12 cm.
Q3.
The length of BC is cm.
An image in a quiz
Correct Answer: 16, sixteen
Q4.
Which triangle(s) are a correct drawing of the triangle in the sketch? You may assume that all measurements given are accurate.
An image in a quiz
Correct answer: a
Correct answer: b
c
Q5.
Which set of side lengths are impossible to construct a triangle with?
10 cm, 7 cm, 6 cm
12 cm, 7 cm, 6 cm
Correct answer: 14 cm, 7 cm, 6 cm
Q6.
A triangle is constructed using two circles. The centre of each circle is on the circumference of the other circle. Which statement is true about △ABC?
An image in a quiz
Correct answer: △ABC is equilateral.
△ABC is isosceles (but not equilateral).
△ABC is scalene.
△ABC is a right-angled triangle.