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Week 12 · Grids, patterns and shapes

Monday

The coordinate grid
// Coordinate grids, two number patterns, shape families and a big review
⏱ about 15 min

Monday: The coordinate grid

Ferris the Fox spreads his trail map on a flat rock. Lines cross it like a net.

"This map is a coordinate grid," he says, pointing with his paw.

"One number line goes across. The other goes up."

Bennie the Bear taps the corner where the lines meet. "This is the origin, at zero and zero."

"To find the old oak, start at the origin," says Ferris.

"Walk 3 across, then 5 up. The oak is at the point three, five."

Bennie smiles. "Across first, then up. The order matters."

Learn it: across, then up

A coordinate grid has two number lines called axes.

The x-axis goes across. The y-axis goes up.

They meet at the origin, the point (0, 0).

An ordered pair like (3, 5) means: go 3 across, then 5 up.

A coordinate grid with point A at (3, 5)

The first number tells how far to travel along the x-axis.

The second number tells how far to travel up, along the y-axis.

So (3, 5) and (5, 3) are different points.

NAME THE POINT
  • Read the question.
  • Tap your answer.
A coordinate grid with point A at (3, 5)What are the coordinates of point A?
A coordinate grid with point B at (6, 2)What are the coordinates of point B?
A coordinate grid with point C at (0, 4)What are the coordinates of point C?
A coordinate grid with point D at (7, 1)What are the coordinates of point D?
FIND THE POINT
  • Read the question.
  • Tap your answer.
A coordinate grid with point A at (2, 6), point B at (6, 2), point C at (4, 4)Which point is at (2, 6)?
A coordinate grid with point A at (5, 1), point B at (1, 5), point C at (5, 5)Which point is at (1, 5)?
A coordinate grid with point A at (8, 3), point B at (3, 8), point C at (8, 8)Which point is at (8, 3)?
PLOT THE POINT (4, 3)
  • Think about how Ferris finds a point.
  • Tap the steps in order.
1First
2Next
3Then
4Last
SentenceTrue or false?
The origin is the point (0, 0).?
(3, 5) and (5, 3) are the same point.?
The first number tells how far across to go.?
The point (0, 4) is on the y-axis.?
WHY THIS EXERCISE(3, 5) is 3 across and 5 up, but (5, 3) is 5 across and 3 up.
Try it
Find a tile floor, a checkerboard or a sheet of grid paper.
Pick one corner as the origin.
Place a small object 3 squares across and 2 squares up.
Say its ordered pair out loud.
On paper, draw a grid from 0 to 6. Plot the points (1, 4) and (4, 1).

Great plotting! Tomorrow Ferris uses the grid to read his trail map.