Draw the Graph to Fit the Story
| Grade | Work Samples |
|---|---|
| End of Stage 5 (end of Year 10) | |
| Grade A | Bobby(A9) |
| Grade B | Courtney(B7) |
| Grade C | Tracy(C6) Huong(C5) Kendall(C5) |
| Grade D | Lee(D4) Kim(D4) Morgan(D4) |
Description of activity
The teacher discusses the first worked example with the class or group. Students will, in pairs, complete the first three questions on the attached worksheet. In questions 4 and 5, students are asked to make up a story and draw a graph to match. Students will report back to the group on their results.
(Material developed by Dr Doug Clarke for the NSW Government.)
Context
Patterns and Algebra, Working Mathematically
This assessment activity could be presented to students during, or at the end of, a unit on Graphs of Physical Phenomena, where students have been analysing and describing graphs related to a variety of real contexts.
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
Graphs of Physical Phenomena (PAS5.3.5)
Analyses and describes graphs of physical phenomena
Questioning (WMS5.3.1)
Asks questions that could be explored using mathematics in relation to Stage 5.3 content
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:
- draw and label graphs of physical phenomena
- create graphs of physical phenomena and explain their results.
Possible prompts to assist student engagement
- What name/label would you put on the x-axis? The y-axis?
- Consider some specific examples.
- Can you explain why you think the graph has that shape?
Suggested materials
Worksheet, pen and paper