The Wey Valley School & Sports College Mathematics Home Study Page 1 POSITIVE COORDINATES 1. Write down the coordinates of each corner of this triangle. UNIT: Coordinates & Graphs Support work: Page 1 Core work: Page 2 Extension work: Page 3 HORIZONTAL then VERTICAL When reading & plotting coordinates it is important to get them in the correct order: This is sometimes remembered as “along the corridor & up/down the stairs” 2. The coordinates of the corners of a triangle are: (3, 2), (5, 7) and (1, 6) Draw the triangle. 3. Draw a grid like this one. Then join these points in order: (3, 7), (1, 7), (1, 8), (6, 8), (6, 7), (4, 7), (4, 3), (6, 3), (6, 2), (1, 2), (1, 3), (3, 3), (3, 7). What letter do you get? 4. On a similar grid to the one in question 3, draw your own shape or picture. Write a list of coordinate instructions to make your shape. Page 2 Page 3 NEGATIVE COORDINATES 1. What temperature is: (a) 3˚C warmer than -4˚C (b) 5˚C colder than 2˚C (c) 10˚C warmer than -6˚C (d) 8˚C colder than 3˚C (e) 5˚C warmer than -8˚C? 2. Write down the coordinates of the corners of the square marked on the grid (above right). 3. (a) Draw a grid like this one: (b) Plot each set of points, joining them in order. (1, 1), (1, 3), (4, 3), (4, 1), (1, 1) (-2, 1), (-2, 3), (-5, 3), (-5, 1), (-2, 1) (1, -4), (1, -1), (3, -1), (3, -4) (-5, -1), (-2, -1), (-2, -3), (-5, -3), (-5, -1) (1, 6), (1, 8), (2, 8), (2, 6) (-7, 4), (-4, 6), (3, 6), (6, 4), (-7, 4) (-6, 4), (-6, -4), (5, -4), (5, 4) GRAPHS 1. The graph below can be used to convert between inches and centimetres. Use the graph to convert: (a) 4 inches to cm, (b) 1 inch to cm, (c) 5 cm to inches, (d) 8 cm to inches, (e) 12 cm to inches. 2. (a) On axes that go from 0 to 10 across (x) and 0 to 20 up (y), plot the points which obey the following rule: The y-coordinate is always double the x-coordinate. (b) Join the points that you have plotted. (c) You should have a straight line. Write the equation for the line you have drawn. i.e. use algebra to write the above rule.