A lesson on the equation of a circle centred at (0,0).
From initial discovery to solving, graphically, simultaneous equations with a circle and a straight line.
Included are:
Starter - Tacking misconceptions around substitution with negatives and squared terms
Exploration - testing out coordinates and discovering the link with Pythagoras' Theorem
Examples - models for pupils from basic drawing to finding solutions to simultaneous equations
Worksheet - solutions provided with problem solving elements and key intervention points addressed
Extension plenary/ summary - links to inequality regions, area and solution in terms of pi
Homework - pupils to master understanding by demonstrating a "no solutions case"
From initial discovery to solving, graphically, simultaneous equations with a circle and a straight line.
Included are:
Starter - Tacking misconceptions around substitution with negatives and squared terms
Exploration - testing out coordinates and discovering the link with Pythagoras' Theorem
Examples - models for pupils from basic drawing to finding solutions to simultaneous equations
Worksheet - solutions provided with problem solving elements and key intervention points addressed
Extension plenary/ summary - links to inequality regions, area and solution in terms of pi
Homework - pupils to master understanding by demonstrating a "no solutions case"
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thank you so much
Many thanks for sharing. very useful resources.<br />
Very useful. Thank you for sharing
Well structured. The extension at the end gave a great end to the lesson involving the students have to comprehend a worded question on equations of circles. Thank you martin8baker!
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