Year 8 Maths • AC9M8SP03 • Authored homework
3D position and location
Practise 3D position and location through calculations, explanation, modelling and checking. Show reasoning in full sentences where useful, and check calculations or conclusions before finishing.
Part A
Short-answer questions
Write coordinates for a point 3 units east, 2 units north and 5 units up from the origin.
Describe a movement from (1, 2, 3) to (4, 2, 7).
Explain why three coordinates are needed in 3D location.
A student swaps height and northing in a coordinate. Explain why order matters.
Write the rule or formula most useful for 3D position and location.
Show how to check one answer using estimation, substitution or inverse operations.
Write one common mistake students make in 3D position and location and correct it.
Create a small table, diagram or equation that represents this topic.
State where units, exact form or rounding matter in this topic.
Write one exam-style short question on 3D position and location and solve it.
Part B
Long-answer questions
Plot and describe the vertices of a rectangular prism using 3D coordinates.
Give step-by-step directions through a simple 3D grid, then write the final coordinate.
Solve a multi-step problem involving 3D position and location and explain every step clearly.
Create a realistic word problem for 3D position and location, solve it and interpret the answer.
Compare two methods for a problem in 3D position and location and explain which is more efficient.
Write a worked solution that includes a check for reasonableness.
Create a problem with a deliberate trap, then solve it correctly and explain the trap.
Use a diagram, table, graph or equation to model a situation involving 3D position and location.
Explain how this topic connects to a previous Year 7 or Year 8 maths skill.
Write a full-mark response to a challenging 3D position and location question, including reasoning and final answer.
Part C
Research and understanding task
Research a real use of 3D coordinates such as gaming, GPS, warehouses, architecture or medical imaging.