Mathematics 1 ESO – Unit 13 GRAPHICS AND FUNCTIONS extra activities

Watch the video on “Coordinate System – Plotting Points” and answer:

  1. What represents the first number in a point?
  2. What represents the second number in a point?
  3. Why is point A down from the origin?
  4. Why is point B on the x-axis of coordinates (not up or down from the origin)?
  5. Why is point C on the y-axis of coordinates (not left or right from the origin)?

Click on the link below to find the video on Points inside/outside/on a circle.

https://www.khanacademy.org/math/geometry-home/analytic-geometry-topic/geometry-problems-coordinate-pla/v/point-relative-to-circle?modal=1

When we studied unit 11 “Polygons and the Circumference” we learnt that there are three relative positions of a point and a circumference. Now we can use coordinates to find the relative position of the point to the circumference.

Watch the video on “Points inside/outside/on a circle” and answer:

  1. What are the three possible positions for a point, relative to a circumference?
  2. How do we know where is the point?
  3. We have a circle of radius 5 with centre in point C(4,1). Use the formula in the video to find where point P (6, 6) is.
  4. Draw the point and the circle from the previous activity in a coordinate system to graphically check your answer to the previous activity.
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