Knowledge, skills and understanding
Solving numerical problems
KS2.Ma2.4 – Pupils should be taught to:
KS2.Ma2.4.e – Read and plot coordinates in the first quadrant, then in all four quadrants [for example, plot the vertices of a rectangle, or a graph of the multiples of 3].
Samples: Grid reference to identify location. Cartesian coordinate system: Activity 1.
Location and transformation
ACMMG113 – Use a grid reference system to describe locations. Describe routes using landmarks and directional language
Samples: Cartesian coordinate system: Activity 1. Grid reference to identify location.
Location and transformation
ACMMG143 – Introduce the Cartesian coordinate system using all four quadrants
Samples: Cartesian coordinate system: Activity 1. Interpret more complex maps: Activity 1.
Linear and non-linear relationships
ACMNA178 – Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point
Samples: Cartesian coordinate system: Activity 1. Cartesian coordinate system: Activity 2.
7.GM.8 – Describe locations and give directions, using grid references, simple scales, turns, and points of the compass.
Samples: Cartesian coordinate system: Activity 1. Interpret more complex maps: Activity 1.
Mathematics
5.OA.3 – Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.
Samples: Cartesian coordinate system: Activity 1. Grid reference to identify location. Multiplication and patterns.
Mathematics
5.G.1 – Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).
Samples: Cartesian coordinate system: Activity 1. Cartesian coordinate system: Activity 2.
5.G.2 – Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.
Samples: Grid reference to identify location. Cartesian coordinate system: Activity 1.
Mathematics
6.NS.8 – Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.
Samples: Cartesian coordinate system: Activity 1. Cartesian coordinate system: Activity 2.
6.NS.6 – Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.
6.NS.6.c – Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.
Samples: Cartesian coordinate system: Activity 1. Cartesian coordinate system: Activity 2.