Circle theorems
Why this, why now
In this unit, pupils will use their developed mathematical reasoning skills to derive and use various circle theorems.
Prior knowledge requirements
- Ardaydu waa inay yaqaanaan aasaaska maadada.
- Ardaydu waa inay awoodaan inay raacaan tilmaamo fudud.
Unit 19 / 21
Circle theorems
In this unit, pupils will use their developed mathematical reasoning skills to derive and use various circle theorems.
11 lessons- The angle at the centre of the circle is twice the angle at any point on the circumference
- The tangents from an external point are equal in length
- Identifying which circle theorem to use
- Problem solving with circle theorems
- The angles in the same segment are equal
- The angle in a semicircle is a right angle
- The tangent at any point on a circle is perpendicular to the radius at that point
- The perpendicular from the centre of a circle to a chord bisects the chord
- The opposite angles of a cyclic quadrilateral sum to 180°
- Checking and securing understanding of the parts of a circle
- The alternate segment theorem