Tunnel Patterns
| Grade | Work Samples | |
|---|---|---|
| Midway through Stage 4 (end of Year 7) | End of Stage 4 (end of Year 8) | |
| Grade A | Ariel Bailey | Kim Lindsay Lou |
| Grade B | Cameron | Tracy Jo |
| Grade C | Mel Lou Reese | Morgan Shannon Jamie Robyn |
| Grade D | Nicky Stacey | Rania Ricky Chris |
| Grade E | Terry | |
Description of activity
Students are given a number of diagrams representing the modelling of a geometric pattern. They draw a diagram to represent their construction of the next structure required to continue the pattern. They then complete a table of values and determine a rule to describe the pattern, providing an explanation of how they obtained the rule.
Suggested materials
Worksheet, centicubes (approximately 15 per student) and pens/pencils
Context
Students have created geometric patterns and have recorded the associated number patterns using tables. They have described these patterns using words and then using an algebraic rule. They have used the algebraic rules obtained for number patterns to calculate the corresponding values for larger numbers.
Areas for Assessment
Outcomes
Number Patterns (PAS4.2)
Creates, records, analyses and generalises number patterns using words and algebraic symbols in a variety of ways
Questioning (WMS4.1)
Asks questions that could be explored using mathematics in relation to Stage 4 content
Applying Strategies (WMS4.2)
Analyses a mathematical or real-life situation, solving problems using technology where appropriate
Communicating (WMS4.3)
Uses mathematical terminology and notation, algebraic symbols, diagrams, text and tables to communicate mathematical ideas
Reasoning (WMS4.4)
Identifies relationships and the strengths and weaknesses of different strategies and solutions, giving reasons
Reflecting (WMS4.5)
Links mathematical ideas and makes connections with, and generalisations about, existing knowledge and understanding in relation to Stage 4 content
Criteria for assessing learning
Students will be assessed on their ability to:
- model geometric patterns
- complete a table of values
- describe a rule in words or algebraic symbols and explain how it was obtained
- use the rule to calculate the corresponding value for a large number.