Five different worksheets combined, with clear diagrams and full solutions:
Intro: An introduction to loci, identifying a circle as the locus of points a fixed distance from a point then considering shaded regions in overlapping circles.
Floodlit: Four overlapping circles, identifying regions lit up by 1, 2, 3 or 4 lights.
Equidistance: By identifying points halfway up or along a square, then halfway between points, developing the concept of equidistance.
Hidden Circles: Using perpendicular bisectors on a grid with vertical and horizontal lines to develop the method of finding the centre of a circle from three points on its circumference. Second page reminds students of the general construction method for a perpendicular bisector (with diagrams) and gives a question with three points (no grid, not vertically or horizontally aligned).
Signal Tower: More involved than just 'less than 3m from A', but using the same ideas - students have to identify regions within which one, two or all three signal towers might detect a mobile phone.
Intro: An introduction to loci, identifying a circle as the locus of points a fixed distance from a point then considering shaded regions in overlapping circles.
Floodlit: Four overlapping circles, identifying regions lit up by 1, 2, 3 or 4 lights.
Equidistance: By identifying points halfway up or along a square, then halfway between points, developing the concept of equidistance.
Hidden Circles: Using perpendicular bisectors on a grid with vertical and horizontal lines to develop the method of finding the centre of a circle from three points on its circumference. Second page reminds students of the general construction method for a perpendicular bisector (with diagrams) and gives a question with three points (no grid, not vertically or horizontally aligned).
Signal Tower: More involved than just 'less than 3m from A', but using the same ideas - students have to identify regions within which one, two or all three signal towers might detect a mobile phone.
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