Lattice point reasoning
A lattice point is a point whose coordinates are both integers.
Practice This ConceptMain explanation
Teacher explanation
Lattice points are the clean grid points on graph paper, where both x and y are whole numbers or integers. They are useful for plotting shapes, reading coordinates, and checking whether a point sits exactly on the grid intersections. Fractional or decimal coordinates do not make a lattice point.
Example
(4, -1) is a lattice point, but (2, 3.5) is not.
Simple analogy
Grid intersection means both numbers are whole.
Common confusion
Students sometimes count any marked dot as a lattice point, even if it lies between grid intersections.
Exam tip
Check both coordinates. One integer is not enough; both must be integers.
Answer writing and exam use
1-mark use
Write the exact meaning of lattice point reasoning in one clean line.
2-mark use
Define lattice point reasoning and add one example or condition.
3-mark use
Explain lattice point reasoning, show the method or example, and mention the common mistake.
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