Midpoint
| Grade | Work Samples | |
|---|---|---|
| Midway through Stage 5 (end of Year 9) | End of Stage 5 (end of Year 10) | |
| Grade A | Marley | |
| Grade B | Jody Kelsey | Indra(B8) |
| Grade C | Tai | Kerry(C6) Sam(C6) Chris(C5) |
| Grade D | Chandra | Ashley(D4) Robyn(D4) Terry(D4) Shannon(D4) |
- New Work Samples
- Drew
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.
Context
Patterns and Algebra, Working Mathematically
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.
Areas for Assessment
- Working mathematically
Knowledge, skills and understanding developed through inquiry, application of problem-solving strategies, communication, reasoning and reflection - Patterns and algebra
Knowledge, skills and understanding in patterning, generalisation and algebraic reasoning
Outcomes
Coordinate Geometry (PAS5.2.3)
Uses formulae to find midpoint, distance and gradient and applies the gradient/intercept form to interpret and graph straight lines
Applying Strategies (WMS5.2.2)
Selects and uses appropriate problem-solving strategies that include selecting and organising key information and identifying and working on related problems
Communicating (WMS5.2.3)
Uses appropriate mathematical language and algebraic, statistical and other notations and conventions in written, oral or graphical form
Reasoning (WMS5.2.4)
Uses mathematical arguments to reach and justify conclusions
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
Possible prompts to assist student engagement
- Could you draw a diagram?
- Is there only one possible answer?
- How could you summarise your findings?
Suggested materials
Pen and paper