Coordinates

The Maths Habit

Tell your partner which window the cat is in. You cannot point.

Go along the street. Then go up the floors.

−3−2−1123−3−2−1123xy
Coordinates
Two numbers that give the position of a point.
−3−2−1123−3−2−1123xy
x axis
The line that goes across.
−3−2−1123−3−2−1123xy
y axis
The line that goes up.
−3−2−1123−3−2−1123xy
Origin
The point where the two axes cross.

1234561234560xyPP (3, 4)
  1. 1Go across.Start at 0. Go along the x axis until you are under the point.
  2. 2Go up or down.Go up to the point.
  3. 3Write (x, y).Across first, then up.

Write the coordinates of P.

1234561234560xyP
1Go across.
x =2
2Go up or down.
y =5
3Write (x, y).
(2,5)

Write the coordinates of Q.

1234561234560xyQ
1Go across.
x =5
2Go up or down.
y =3
3Write (x, y).
(5,3)

Write the coordinates of P.

1234561234560xyP
1Go across.
x =2
2Go up or down.
y =5
3Write (x, y).
(2,5)
123412340xy
1Go across.
2Go up or down.
3Write (x, y).

Write the coordinates of R.

1234561234560xyR
1Go across.
x =4
2Go up or down.
y =1
3Write (x, y).
(4,1)

Write the coordinates of P.

1234561234560xyP
1Go across.
x =2
2Go up or down.
y =5
3Write (x, y).
(2,5)
123412340xy
1Go across.
2Go up or down.
3Write (x, y).

Write the coordinates of S.

1234561234560xyS
1Go across.
x =5
2Go up or down.
y =2
3Write (x, y).
(5,2)

Write the coordinates of P.

1234561234560xyP
1Go across.
x =2
2Go up or down.
y =5
3Write (x, y).
(2,5)
123412340xy
1Go across.
2Go up or down.
3Write (x, y).

Write the coordinates of T.

1234561234560xyT
1Go across.
x =3
2Go up or down.
y =4
3Write (x, y).
(3,4)

Write the coordinates of each point.

11234561234560xyA
1Go across.
x =1
2Go up or down.
y =3
3Write (x, y).
(1,3)
21234561234560xyB
1Go across.
x =5
2Go up or down.
y =4
3Write (x, y).
(5,4)
31234561234560xyC
1Go across.
x =2
2Go up or down.
y =1
3Write (x, y).
(2,1)
123412340xy
1Go across.
2Go up or down.
3Write (x, y).

What number is each arrow pointing to?

−5−4−3−2−1012345AA = −3
−5−4−3−2−1012345BB = −2

−4−3−2−11234−4−3−2−11234xyPP (−2, −3)
  1. 1Go across.Left of 0 is negative.
  2. 2Go up or down.Down from 0 is negative.
  3. 3Write (x, y).Across first, then up or down.

Write the coordinates of P.

−4−3−2−11234−4−3−2−11234xyP
1Go across.
x =−3
2Go up or down.
y =2
3Write (x, y).
(−3,2)

Write the coordinates of Q.

−4−3−2−11234−4−3−2−11234xyQ
1Go across.
x =2
2Go up or down.
y =−3
3Write (x, y).
(2,−3)

Write the coordinates of P.

−4−3−2−11234−4−3−2−11234xyP
1Go across.
x =−3
2Go up or down.
y =2
3Write (x, y).
(−3,2)
123412340xy
1Go across.
2Go up or down.
3Write (x, y).

Write the coordinates of R.

−4−3−2−11234−4−3−2−11234xyR
1Go across.
x =1
2Go up or down.
y =−3
3Write (x, y).
(1,−3)

Write the coordinates of P.

−4−3−2−11234−4−3−2−11234xyP
1Go across.
x =−3
2Go up or down.
y =2
3Write (x, y).
(−3,2)
123412340xy
1Go across.
2Go up or down.
3Write (x, y).

Write the coordinates of S.

−4−3−2−11234−4−3−2−11234xyS
1Go across.
x =3
2Go up or down.
y =−1
3Write (x, y).
(3,−1)

Write the coordinates of P.

−4−3−2−11234−4−3−2−11234xyP
1Go across.
x =−3
2Go up or down.
y =2
3Write (x, y).
(−3,2)
123412340xy
1Go across.
2Go up or down.
3Write (x, y).

Write the coordinates of T.

−4−3−2−11234−4−3−2−11234xyT
1Go across.
x =−2
2Go up or down.
y =3
3Write (x, y).
(−2,3)

Write the coordinates of each point.

1−4−3−2−11234−4−3−2−11234xyA
1Go across.
x =−2
2Go up or down.
y =1
3Write (x, y).
(−2,1)
2−4−3−2−11234−4−3−2−11234xyB
1Go across.
x =3
2Go up or down.
y =−2
3Write (x, y).
(3,−2)
3−4−3−2−11234−4−3−2−11234xyC
1Go across.
x =−3
2Go up or down.
y =−2
3Write (x, y).
(−3,−2)
123412340xy
1Go across.
2Go up or down.
3Write (x, y).

Which letter is at each point? Go across first.

−4−3−2−11234−4−3−2−11234xyABCDEF
  1. 1(−3, 2)B
  2. 2(2, −3)A
  3. 3(−3, −2)E
  4. 4(2, 3)F

Coordinates worksheet, page 1

Coordinates worksheet, page 2

Answer sheet

  1. A rectangle has corners at (−4, 2), (1, 2) and (1, −3). Find its fourth corner.

    (−4, −3)
  2. Which point is exactly halfway between (−4, 3) and (2, 3)?

    (−1, 3)
  3. Plot (1, 1), (4, 1), (4, 4) and (1, 4). Join them in order. What shape have you made?

    A square

  1. Write the coordinates of A.
    1Go across. x =−22Go up or down. y =1

    Answer (−2, 1)
    −3−2−1123−2−112xyAB
  2. Write the coordinates of B. It is on the same grid.
    1Go across. x =22Go up or down. y =−1

    Answer (2, −1)
  3. Plot the point C(−2, −1) on the grid. Label it C.

    2 left, 1 down
    −3−2−1123−2−112xy
Exit tickets to print