Exploring Flow Charts

Overview

This 45-minute lesson introduces Grade 6 students in Sutton, Ontario, to flow charts as a visual and strategic tool to organise information and represent the process of applying divisibility rules. It forms lesson 4 of 6 in the "Divisibility and Digital Games" unit, aligned closely with the Ontario Mathematics Curriculum expectations for Number Sense and Numeration.

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Curriculum Connections

Ontario Mathematics Curriculum (2023 edition) – Grade 6

• Number Sense and Numeration (6N04) Use mental math strategies and a variety of tools and technology to demonstrate an understanding of the rules of divisibility for 2, 3, 5, 6, 9, and 10.
• Mathematical Processes Develop, select, and apply problem-solving strategies with a focus on representing problems in multiple ways (e.g., flow charts) to organize information and demonstrate understanding.

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Learning Goals

I can...

• explain what a flow chart is and how it can help organise steps.
• create a simple flow chart to represent a divisibility test.
• follow and explain a flow chart related to divisibility rules.

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Success Criteria

• I can identify key elements of a flow chart (start/end, decision, action steps).
• I can create a flow chart that correctly shows the sequence of steps to determine divisibility.
• I can present my flow chart and explain the process clearly.

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Materials Needed

• Large chart paper / whiteboard
• Markers in different colours
• Individual student whiteboards and markers
• Printable divisibility rules reference sheet (dyslexia-friendly font: OpenDyslexic, large spacing, simple language)
• Flow chart symbols handout (with visuals and simple explanations)
• Laptops/tablets with simple flowchart software/apps (optional)
• Sticky notes

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Lesson Structure

1. Activation & Review (5 minutes)

• Engage: Begin with a quick group discussion: “What helps you remember the steps in a game or recipe? What about maths?”
• Relate to digital games and how instructions must be followed step by step.
• Review previously learned divisibility rules briefly to connect prior knowledge.

2. Introduction to Flow Charts (10 minutes)

• Define flow charts: “A picture that shows the order of steps with symbols.”
• Show a simple flow chart example unrelated to maths (e.g., making a sandwich or a quick "Is it a fruit?" yes/no chart).
• Introduce basic flowchart symbols:
  • Oval = Start/End
  • Rectangle = Action/Process
  • Diamond = Decision (Yes/No)
• Display and explain each symbol with examples.
• Invite one or two students to come up and construct a simple flow chart on the board using sticky notes for symbols, for an everyday task.

3. Modelling Flow Chart for Divisibility (10 minutes)

• Model the flow chart for divisibility by 2:
  • Start -> Check if last digit is even?
  • Decision diamond (Yes or No)
  • If Yes: Divisible
  • If No: Not divisible -> End
• Use expressive narration and gestures.
• Use visuals in colours (e.g., green sticky for yes, red for no).
• Use this to demonstrate verbalising the steps clearly.

4. Guided Practice – Create Flow Charts (10 minutes)

• Students work in pairs to create a flow chart for divisibility by 5 using a template and symbol handout.
• Differentiation:
  • Support students with IEPs by providing partially completed flowcharts to finish.
  • Behaviour/autism supports: Clear space options, one-on-one check-ins, visual schedules with the steps of this activity.
  • ADHD accommodations: Pair off with a supportive peer, allow movement breaks after 5 minutes.
• Teacher circulates, scaffolding language and flow chart sequencing.

5. Sharing and Reflection (5 minutes)

• Select 2-3 pairs to present their flow chart to the class, explaining the steps.
• Highlight correct use of symbols and logical step sequence.
• Use thumbs up/down for peer feedback.

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Differentiation for Diverse Learners

Learner Profile	Strategies
Students with IEPs	Use flow chart templates; simplified language; one-on-one support
Behaviour/autism diagnoses	Use predictable routines; visuals; quiet workspace; social story for flow charts
ADHD accommodation	Allow movement breaks; seat near teacher; use timers with alerts
Dyslexia-friendly learners	Provide flowchart reading handouts in OpenDyslexic font; use high contrast; read instructions aloud
Girls (minority in class)	Ensure equitable participation by inviting girls to lead or present

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Extension Activity for Advanced Learners

• Challenge these students to create a flow chart for divisibility by 6, which requires applying rules for both 2 and 3 in sequence, emphasising combined decision steps.
• Alternatively, let them design a flow chart for a divisibility rule not yet studied and explain their reasoning.

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Assessment

• Observe students’ ability to correctly use flowchart symbols and sequence during pair work.
• Use a checklist during presentations to evaluate understanding of flow chart components and divisibility concepts.
• Collect student flow charts to provide descriptive feedback, highlighting strengths and areas for improvement.

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Closing (Summary & Homework)

• Recap: “Today we learned how flow charts help us organise steps in math and daily tasks.”
• Homework: Students create a flow chart for divisibility by 3 using classroom notes and symbol handouts. Optional: Draw and colour it neatly.

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Teacher Reflection Notes

• Monitor engagement levels especially in diverse learner groups; note who benefits from visual supports.
• Reflect on timing — did guided practice allow enough student creation and questions?
• Plan for next lesson incorporating digital flowchart tools to connect to digital games theme.

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This lesson plan combines strong curriculum coherence with thoughtful differentiation to address the unique needs and mixed abilities of your Sutton classroom community. The clear link to math content, practical application of flow charts, and connection to digital games will motivate students while deepening their conceptual understanding.