Surds
| Grade | Work Samples |
|---|---|
| End of Stage 5 (end of Year 10) | |
| Grade A | Ariel(A10) |
| Grade B | Courtney(B8) Jordan(B7) Sam(B7) |
Description of activity
Context
Number, Working Mathematically
This assessment activity could be presented to students at the end of a unit on Real Numbers, where students have been performing operations with surds.
Areas for Assessment
- Working mathematically
Knowledge, skills and understanding developed through inquiry, application of problem-solving strategies, communication, reasoning and reflection - Number
Knowledge, skills and understanding in mental and written computation and numerical reasoning
Outcomes
Real Numbers (NS5.3.1)
Performs operations with surds and indices
Applying Strategies (WMS5.3.2)
Solves problems using a range of strategies including deductive reasoning
Communicating (WMS5.3.3)
Uses and interprets formal definitions and generalisations when explaining solutions and/or conjectures
Reasoning (WMS5.3.4)
Uses deductive reasoning in presenting arguments and formal proofs
Criteria for assessing learning
(These criteria would normally be communicated to students with the activity.)
Students will be assessed on their ability to:
- justify particular statements involving surds
- identify other valid statements involving surds.
Possible prompts to assist student engagement
Suggested materials
Pen and paper, calculator