Description of activity
If the midpoint of an interval is (1,3), what might the endpoints of the interval be?
Students give reasons for their solution.
Possible prompts to assist student engagement:
- Could you draw a diagram?
- Is there only one possible answer?
- How could you summarise your findings?
This assessment activity could be presented to students during a unit on Coordinate Geometry, after students have completed more traditional questions on finding the midpoint of an interval joining two given points.
- develop understanding and fluency in mathematics through inquiry, exploring and connecting mathematical concepts, choosing and applying problem-solving skills and mathematical techniques, communication and reasoning
- develop efficient strategies for numerical calculation, recognise patterns, describe relationships and apply algebraic techniques and generalisation.
Criteria for assessing learning
(These criteria would normally be communicated to students with the activity.)
Students will be assessed on their ability to:
- find the endpoints of an interval, given the midpoint
- communicate mathematical ideas
- justify conclusions.
Graded student work samples
|Grade A||Grade B|
|Grade C||Grade D|