Draw in diagonals.

The lattice points are where the lines intersect. How many interior lattice points do your lines go through?

Draw more grids. Before you draw the diagonals, can you predict how many lattice points they will go through? How do you know?

A point whose x– and y-coordinates are both whole numbers is called a lattice point.

How many lattice points are there in the first quadrant (where both x and y coordinates are positive) that lie on the line 3x + 4y = 59?

Find these points. How many different methods can you think of to find these points?

Click here to download the LATTICE POINTS worksheet.


Click here for Notes for Teachers.


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