Grade 5 - Patterns and Relations (Patterns)
The sub-organizer contains the following sections:
Prescribed Learning Outcomes
Suggested Instructional Strategies
Suggested Assessment Strategies
Recommended Learning Resources
PRESCRIBED LEARNING OUTCOMES
It is expected that students will construct, extend, and summarize patterns, using rules, charts, mental mathematics, and calculators.
It is expected that students will:
- develop charts to record and reveal number patterns
- describe how a pattern grows using everyday language orally and in writing
- construct and expand patterns in two and three dimensions, concretely and pictorially
- generate number patterns within a problem-solving context
- predict and justify pattern extensions
To view the prescribed learning outcomes for Patterns and Relations (Patterns) in other grades click on an icon below.
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SUGGESTED INSTRUCTIONAL STRATEGIES
Exploring patterns helps students develop mathematical literacy and instills in them an appreciation for the beauty of mathematics. In Grade 5, the emphasis shifts to general patterns, variables, and functions. By investigating patterns, students develop their mathematical abilities and hone their ability to describe, extend, create, analyse, and predict knowledgeably. Students need concrete and pictorial experiences to make connections and to build relationships between the real world and the symbolic nature of numbers.
- Have students work in small groups to stimulate conversations and discussion, and use counters to develop concrete patterns for doubling or tripling a given starting number. Have students design ways to record these patterns. Challenge them to find other examples of patterns.
- Have students use manipulatives such as tangrams, blocks, and grid paper to design a visual pattern of flips, slides, or tessellations to be presented to the class.
- Use the following activity to link math and science. Have students, working in small groups, measure and record temperature changes as ice cubes in water are gently warmed with a heat source. Gather data over a minimum of 15 minutes. As they record temperatures over time (e.g., every two minutes), have students predict what the next temperature will be. At the conclusion
of the activity, have students make predictions
on what would happen if the experiment were repeated with more or less ice.
SUGGESTED ASSESSMENT STRATEGIES
At the Grade 5 level, students broaden their pattern-recognition ability to include analysing, generalizing, and expressing more sophisticated patterns in a numerical form. This provides a foundation for their future understanding of more abstract algebraic concepts. They begin to develop an understanding of functions, which enables them to make predictions in real-life situations. Interviews and discussions
can help you assess students' ability to use patterns, and can help them to clarify and consolidate their understanding.
Observe
- After students have designed a pattern, ask them to describe it in their own words. Observe whether they:
- are able to describe a rule for their design
- can create and describe multiple patterns
Collect
- Have students graph and present their time and temperature data as a pattern.
- Develop a rubric to assess the quality of the pattern developed by students.
- Have students write about their pattern rule and prediction in their learning logs or activity summary sheets.
RECOMMENDED LEARNING RESOURCES
Print Materials
- About Teaching Mathematics
- Box Cars & One-Eyed Jacks
- Budding Botanist
- Cooperative Problem Solving
- Detective Agency
- Electrical Connections
- Interactions 4-6
- Kids 'n' Calculators: How to Use the Calculator as a Teaching Tool
- Mathematics From Many Cultures
- The Problem Solver 5: Activities for Learning Problem-Solving Strategies
- Problem Solving with Number Tiles
- Quest 2000: Exploring Mathematics Grade 5
- Writing Mathematics Grade 5
Video
- Mathematics: What Are You Teaching My Child?
CD-ROM
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©Copyright 1996
All Rights Reserved.
BC MOECurriculum Branch.
Maintained by:Mathematics Coordinator
Revised: October 20, 1997
BC Ministry of Education