1.03d d) Understand and be able to use the coordinate C1 Coordinate (e) understand that the equation represents the circle with – geometry of a circle including using the equation of a Geometry and centre and radius r circle in the form . Graphs (e) & (f) (f) use algebraic methods to solve problems involving lines Learners should be able to draw a circle given its and circles equation or to form the equation given its centre and radius. Note that in the reformed specification the use of the expanded form of the circle is not required. 1.03e e) Be able to complete the square to find the centre C1 Polynomials Polynomials (b) carry out the process of completing the – and radius of a circle. (b) square for a quadratic polynomial C1 Coordinate Coordinate Geometry and Graphs (f) use algebraic methods – Geometry and to solve problems involving lines and circles Graphs (f) 1.03f f) Be able to use the following circle properties in the C1 Coordinate (f) knowledge of the following circle properties is included: – context of problems in coordinate geometry: Geometry and the angle in a semicircle is a right angle; the perpendicular 1. the angle in a semicircle is a right angle, Graphs (f) from the centre to a chord bisects the chord; the 2. the perpendicular from the centre of a circle to a perpendicularity of radius and tangent chord bisects the chord, 3. the radius of a circle at a given point on its circumference is perpendicular to the tangent to the circle at that point. Learners should also be able to investigate whether or not a line and a circle or two circles intersect.
1.03d d) Understand and be able to use the coordinate geometry of a circle including using the equation of a circle in the form . Learners should be able to draw a circle given its equation or to form the equation given its centre and radius. C1 – Coordinate Geometry and Graphs (e) & (f) (e) understand that the equation represents the circle with centre and radius r (f) use algebraic methods to solve problems involving lines and circles Note that in the reformed specification the use of the expanded form of the circle is not required. 1.03e e) Be able to complete the square to find the centre and radius of a circle. C1 – Polynomials (b) C1 – Coordinate Geometry and Graphs (f) Polynomials (b) carry out the process of completing the square for a quadratic polynomial Coordinate Geometry and Graphs (f) use algebraic methods to solve problems involving lines and circles 1.03f f) Be able to use the following circle properties in the context of problems in coordinate geometry: 1. the angle in a semicircle is a right angle, 2. the perpendicular from the centre of a circle to a chord bisects the chord, 3. the radius of a circle at a given point on its circumference is perpendicular to the tangent to the circle at that point. Learners should also be able to investigate whether or not a line and a circle or two circles intersect. C1 – Coordinate Geometry and Graphs (f) (f) knowledge of the following circle properties is included: the angle in a semicircle is a right angle; the perpendicular from the centre to a chord bisects the chord; the perpendicularity of radius and tangent
360173-mapping-guide-legacy-as-and-a2-units-7890-to-h240.docx