A resource that is ideal if you are teaching pupils how to find the tangent to a circle at a given co-ordinate. This now appears on the new higher tier 1-9 GCSE.
Included is the following:
Re-cap on finding the radius of a circle from its equation
Re-cap on understanding that two lines are perpendicular when gradients multiply to -1
Two examples on powerpoint & word document (see attached) that allow the teacher to model how to find the equation of a tangent to a circle. It is scaffolded into three steps:
Step 1: Find the gradient of the radius to a given point on the circumference,
Step 2: Find the gradient of a tangent and
Step 3: Finding the equation of a tangent.
One page (7 different questions) requiring pupils to find the equation of tangents. Q6 and Q7 provide extension opportunities.
Plenary question - AQA exam question.
Included is the following:
Re-cap on finding the radius of a circle from its equation
Re-cap on understanding that two lines are perpendicular when gradients multiply to -1
Two examples on powerpoint & word document (see attached) that allow the teacher to model how to find the equation of a tangent to a circle. It is scaffolded into three steps:
Step 1: Find the gradient of the radius to a given point on the circumference,
Step 2: Find the gradient of a tangent and
Step 3: Finding the equation of a tangent.
One page (7 different questions) requiring pupils to find the equation of tangents. Q6 and Q7 provide extension opportunities.
Plenary question - AQA exam question.
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£3.50