### NRICH COORDINATES PROBLEM SOLVING

Filter by resource type problems game articles general resources Lists Filter by age 5 to 7 7 to 11 11 to 14 14 to 16 16 to What can you say about triangle PQR? Charlie has been drawing more squares. Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or You’ll need some friends to help!

What do you notice about the new coordinates? Weekly Problem 38 – Where does the line through P that halves the figure shown meet the edge XY? Use the clues about the symmetrical properties of these letters to place them on the grid. We had lots of solutions to this problem but not many of you told us how you got your solutions. Coordinates of Corners Age 11 to 16 Use the applet to make some squares. A square of area 3 square units cannot be drawn on a 2D grid so that each of its vertices have integer coordinates, but can it be drawn on a 3D grid? What is the area of the square?

What do you notice about the numbers?

To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. Position and Direction Age 7 to 11 These upper primary activities involve movement and position. You may also like Days and Dates Investigate how you can work out what day of the week your birthday will be on next year, and the year after Splving you find a reliable strategy for choosing coordinates that will locate the robber in the minimum number of guesses?

These coordinates themselves will then form a shape with rotational and line symmetry. soling

# Transformation Tease :

What do you notice about the numbers? Two of the triangles in the diagram are shaded black. A square of area 3 square units cannot be drawn on a 2D grid so that each of its vertices have nrixh coordinates, but can it be drawn on a 3D grid?

To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

Polydron Age 7 to 11 Challenge Level: Geometry problems at primary level that require careful consideration. Napoleon’s Hat Age 16 to 18 Challenge Level: Coordinates of Corners Age 11 to 16 Use the applet to make some squares.

A 1 metre cube has one face on the ground and one face against a wall. This problem offers an opportunity to ensure that students are justified in generalising from the particular cases that they have selected. A tilted square is a square with no horizontal sides. Sharing Incomplete Solutions Age 5 to 11 The published solutions to these solvinf include a small ‘slip-up’.

Can you use the diagram above to help you to work this out?

Which times on a digital clock have a line of symmetry? Coordinate Tan Age 7 to 11 Challenge Level: What are its new coordinates? Position and Direction KS2. Age 7 to 11 Challenge Level: Geometry Stage 5 Age 7 to 11 Challenge Level: Here is what Luis wrote:.

## Coordinate Patterns

Possible approach These printable resources may be useful: Can you suggest a quick and efficient strategy for working out the coordinates of the centre of any square? These coordinates themselves will then form a shape with rotational and line symmetry.

Students are too easily convinced. Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses? Going Places with Mathematicians Age 7 to 14 This article looks at the importance in mathematics of representing places and spaces mathematics.

What is the area of the square? Stick some cubes together to make a cuboid.

National Flags Age 7 to 11 Challenge Level: