Number Plane — NSW Year 7 Maths
A grid for locating points, like the squares on a street map or a game board. Four subtopics and 80 practice questions, each with a fully worked solution, aligned to NESA outcome MA4-LIN-C-01.
Number Plane in NSW Year 7
The number plane (also called the Cartesian plane) is a grid made by a horizontal \(x\)-axis and a vertical \(y\)-axis that cross at the origin. Every point has a pair of coordinates, written \((x, y)\). In Year 7, students plot and read points in all four quadrants, including negative and half-unit coordinates, use tables of values to draw straight-line graphs, and move shapes around the grid.
The four subtopics below start in the first quadrant, extend the axes to negative numbers, then graph tables of values and finish with transformations (translations, reflections and rotations), which revise and extend primary-school work. Number Plane is one of the 13 topics in NSW Year 7 Maths and sits in the Number and Algebra strand (NESA outcome MA4‑LIN‑C‑01). It leads on to graphing linear relationships and solving equations with graphs later in Stage 4 and in Stage 5.
Subtopics
Number Plane: common questions
What is the number plane in Year 7 maths?
The number plane is a grid made by a horizontal \(x\)-axis and a vertical \(y\)-axis that meet at the origin, \((0, 0)\). Each point is located by its coordinates \((x, y)\).
How do you plot a point like \((-3, 2)\)?
Start at the origin and go across first: 3 units left, because the \(x\)-coordinate is negative. Then go 2 units up for the \(y\)-coordinate. The point lies in the second quadrant.
What is a common mistake with coordinates?
Swapping the order. The \(x\)-coordinate (across) always comes first and the \(y\)-coordinate (up or down) second, so \((2, 3)\) and \((3, 2)\) are different points.
Which NESA outcome covers the number plane?
Plotting points and graphing tables of values sit in Stage 4 of the NSW Mathematics K–10 Syllabus (2022) under outcome MA4‑LIN‑C‑01, usually started in Year 7.
What comes after the number plane?
The number plane is used to graph linear relationships in algebra, where a rule such as \(y = 2x + 1\) gives a straight line. Later in Stage 4, students use graphs to solve equations and find where two lines meet.