Find the point needed to make a rectangle (6,3)

Find the point needed to make a square (2,3)

Find the point needed to make a parallelogram (4,5)

Find a point needed to make an isosceles triangle The point could be anywhere on this line

Coordinates in all 4 quadrants Eg write down the coordinates of A, B, C and D Eg Plot the coordinates: A (3,4) F(0,4) E(4,1) D (-3,2) F(0,4) E(4,1) G(-2,-1) H(4,-4) G(-2,-1) B (1,-2) C (-5,-3) H(4,-4)

Coordinates Connect the coordinates in order to draw a mystery creature Body: (5,7) (5,6) (6,4) (2, -4) (0,-5) (-1,-6) (-2,-9) (-1,-11) (0,-12) (0,-13) (-3,-12) (-3,-11) (-4,-9) (-4,-6) (-6,-9) (-8,-11) (-8,-12) (-1,-14) (-7,-14) (-10,-13) (-10,-11) (-8,-9) (-6,-3) (-5,1) (-3,3) (2,6) (2,10) (3,11) (5,12) (9,10) (9,9) (6,9) (9,8) (8,7) (5,7) Arm: (3,3) (5,1) (7,1) (7,0) (4,0) (2,2) Front Leg: (2,-4) (3,-11) (4,-12) (4,-13) (1,-12) (1,-11) (0,-5)

(-8,-6) (-8,-8) (-7,-7) (-6,-8) (-6,-5½) Coordinates Connect the coordinates in order to draw a mystery object Part 1: (0,10) (2,5) (2,0) (4, -2) (9,-2) (10,-4) (8,-6) (4,-5) (1,-2) (2,-5) (3,-10) (1,-7) (1,-10) (0,-9) (-1,-10) (-1,-7) (-3,-10) (-2,-5) (-1,-2) (-4,-5) (-8,-6) (-10,-4) (-9,-2) (-4,-2) (-2,0) (-2,5) (0,10) Part 2: (6,-2) (6,3) (7,6) (8,3) (8,-2) Part 3: (-6,-2) (-6,3) (-7,6) (-8,3) (-8,-2) Part 4: (-8,-6) (-8,-8) (-7,-7) (-6,-8) (-6,-5½) Part 5: (8,-6) (8,-8) (7,-7) (6,-8) (6,-5½)

Problem solving with coordinates 1a) Where should you put point D so that shape ABCD is a square? 2. On this grid, A and B must not move. When C is at (6, 6), triangle ABC is isosceles. D(5,2) b) Where could you put point E so that shape ABCDE is a trapezium? (a) C moves so that triangle ABC is still isosceles. Where could C have moved to? C can move Any point with x = 6 (b) Then C moves so that triangle ABC is isosceles and right-angled. Where could C have moved to? D(4,1) D(6,1) (6,3) or (4,5) or (8,5) to name a few!

3. (a) The point K is halfway between points B and C. What are the coordinates of point K? (5,2) (b) Shape ABCD is a rectangle. What are the coordinates of point D? (2,1) 4b) Q is the midpoint of line MN. The coordinates of Q are (30,50) What are the coordinates of points M and N? 4a) P is the midpoint of line AB. What are the coordinates of point P? M(0,100) (60,60) N(60,0)

5. The grid shows six points labelled A, B, C, D, E and F Complete the table to show which points have coordinates that match the rules below. The first one is done for you. Rule A B C D E F x = 3 y = –3 x = y (4,6) 6. Point A is marked on the grid. The coordinates of A are (4, 4) Mark one point on the grid that has: (4,5) an x coordinate that is equal to 4, and a y coordinate that is greater than 4

7. I am thinking of a point on the dotted grid below. The co-ordinates of my point are (x, y) You have 3 clues to find which of the dots is my point. (a) First clue: x > 0 and y > 0 Which dots cannot represent my point? On the grid below, cross them out like this (b) Second clue: x + y < 4 Which other dots cannot represent my point? This time, put a square around them like this (c) Third clue: x > y What are the co-ordinates of my point? At (1,2) , x < y At (1,1) , y = x At (2,1) , x > y

Worksheets for printing

Coordinates Connect the coordinates in order to draw a mystery creature Body: (5,7) (5,6) (6,4) (2, -4) (0,-5) (-1,-6) (-2,-9) (-1,-11) (0,-12) (0,-13) (-3,-12) (-3,-11) (-4,-9) (-4,-6) (-6,-9) (-8,-11) (-8,-12) (-1,-14) (-7,-14) (-10,-13) (-10,-11) (-8,-9) (-6,-3) (-5,1) (-3,3) (2,6) (2,10) (3,11) (5,12) (9,10) (9,9) (6,9) (9,8) (8,7) (5,7) Arm: (3,3) (5,1) (7,1) (7,0) (4,0) (2,2) Front Leg: (2,-4) (3,-11) (4,-12) (4,-13) (1,-12) (1,-11) (0,-5)

(-8,-6) (-8,-8) (-7,-7) (-6,-8) (-6,-5½) Coordinates Connect the coordinates in order to draw a mystery object Part 1: (0,10) (2,5) (2,0) (4, -2) (9,-2) (10,-4) (8,-6) (4,-5) (1,-2) (2,-5) (3,-10) (1,-7) (1,-10) (0,-9) (-1,-10) (-1,-7) (-3,-10) (-2,-5) (-1,-2) (-4,-5) (-8,-6) (-10,-4) (-9,-2) (-4,-2) (-2,0) (-2,5) (0,10) Part 2: (6,-2) (6,3) (7,6) (8,3) (8,-2) Part 3: (-6,-2) (-6,3) (-7,6) (-8,3) (-8,-2) Part 4: (-8,-6) (-8,-8) (-7,-7) (-6,-8) (-6,-5½) Part 5: (8,-6) (8,-8) (7,-7) (6,-8) (6,-5½)

Design your own join the dots coordinates puzzle

Problem solving with coordinates 1a) Where should you put point D so that shape ABCD is a square? 2. On this grid, A and B must not move. When C is at (6, 6), triangle ABC is isosceles. b) Where could you put point E so that shape ABCDE is a trapezium? (a) C moves so that triangle ABC is still isosceles. Where could C have moved to? C can move (b) Then C moves so that triangle ABC is isosceles and right-angled. Where could C have moved to?

3. (a) The point K is halfway between points B and C. What are the coordinates of point K? (b) Shape ABCD is a rectangle. What are the coordinates of point D? 4b) Q is the midpoint of line MN. The coordinates of Q are (30,50) What are the coordinates of points M and N? 4a) P is the midpoint of line AB. What are the coordinates of point P?

5. The grid shows six points labelled A, B, C, D, E and F Complete the table to show which points have coordinates that match the rules below. The first one is done for you. Rule A B C D E F x = 3 y = –3 x = y 6. Point A is marked on the grid. The coordinates of A are (4, 4) Mark one point on the grid that has: an x coordinate that is equal to 4, and a y coordinate that is greater than 4

7. I am thinking of a point on the dotted grid below. The co-ordinates of my point are (x, y) You have 3 clues to find which of the dots is my point. (a) First clue: x > 0 and y > 0 Which dots cannot represent my point? On the grid below, cross them out like this (b) Second clue: x + y < 4 Which other dots cannot represent my point? This time, put a square around them like this (c) Third clue: x > y What are the co-ordinates of my point?