Exploring Double Bar Graphs

Grade 5 Mathematics

Duration: 105 minutes
Class size: 20 students
Context: Nunavut education and territory
Curriculum Focus: Ontario Curriculum – Grade 5 Mathematics
Strand: Data Management and Probability (DMP)
Overall Expectations:

• D1. Collect and organize discrete or continuous primary data and display data using appropriate graphs
• D2. Read, describe, and interpret primary data and secondary data presented in charts and graphs

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Learning Goals & Success Criteria

Learning Goals	Success Criteria (I can...)
Understand the difference between continuous and discrete data.	I can explain the difference between continuous and discrete data using examples.
Collect and organize discrete and continuous data relevant to Nunavut.	I can collect and sort data into categories of discrete or continuous based on a class activity.
Construct and interpret double bar graphs using meaningful data related to Nunavut.	I can create a double bar graph and use it to compare two sets of data.
Read and interpret data from double bar graphs accurately.	I can answer questions about the graph and explain what the data shows about Nunavut.

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Curriculum Expectations Referenced (Ontario Curriculum, Grade 5 Mathematics)

• 1.1 Collect primary data and organize the data using observations, surveys, and experiments relevant to their daily lives and interests.
• 1.2 Read, describe, and interpret primary data and secondary data, using graphs, including double bar graphs, to draw conclusions and make predictions.
• 5.1 Demonstrate an understanding of discrete and continuous data by providing examples and sorting data accordingly.
• 6.1 Use data management software or graph paper to construct and interpret graphs, including double bar graphs and line graphs.

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Materials Needed

• Chart paper or large graph paper
• Coloured pencils or markers (at least 2 colours per student)
• Rulers
• Pre-prepared data sets relating to Nunavut (hunter vs. trapper counts, temperature variations, population growth of communities, etc.)
• Tablets or laptops with data management apps (optional)
• Worksheets: Data collection sheet & graph templates
• Visual aids depicting Nunavut communities, weather stats, and wildlife

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Lesson Outline

1. Introduction & Engagement (15 minutes)

• Hook: Show pictures of Nunavut’s landscape, communities, and wildlife. Briefly discuss how people gather information about these using data.
• Activate prior knowledge: Ask, “What kinds of information can we collect about Nunavut’s people, weather or animals?”
• I can… statement: "I can explain the difference between continuous and discrete data."
• Introduce and define discrete data (countable, separate values) and continuous data (measurable on a scale).

Strategy: Use real-life examples from Nunavut, e.g., number of polar bears spotted (discrete), temperature in degrees Celsius (continuous).

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2. Guided Group Activity: Sorting Data (20 minutes)

• Distribute prepared data cards to pairs/groups showing examples of both discrete and continuous data specifically related to Nunavut (i.e., daily snowfall in cm, number of igloos built, hours of daylight).
• Students decide if each data is discrete or continuous and explain why. Display results on chart paper.
• Teacher facilitates discussion and corrects misconceptions.

Differentiation:

• Visual learners supported with picture cues on data cards.
• English Language Learners (ELLs) paired with bilingual buddies or use of visuals and vocabulary prompts.
• Advanced learners encouraged to provide real-world examples beyond given data.

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3. Mini-Lesson: Introduction to Double Bar Graphs (20 minutes)

• Explain what a double bar graph is: displays two related sets of data side-by-side to compare them.
• Use an example relevant to Nunavut, such as comparing the average temperature (continuous) and number of daylight hours (discrete) for two communities over several months.
• Demonstrate drawing axes, labelling, choosing scales, and colour coding bars.

I can… statement: "I can create and label a double bar graph to compare two sets of data."

Success Criteria: Students will be able to identify titles, axes, legend, and bars accurately.

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4. Independent Activity: Constructing Double Bar Graphs (30 minutes)

• Provide students with a data set comparing two Nunavut communities (e.g., Iqaluit and Rankin Inlet) on both discrete data (number of community events in a month) and continuous data (average monthly temperature).
• Students will:
  • Organize data into tables (discrete and continuous).
  • Use graph paper to construct a correctly labelled double bar graph using two different colours.
• Circulate, provide feedback, and scaffold as needed.

Differentiation:

• Provide graph templates with grids pre-drawn for students needing extra support.
• Challenge students to create a title and formulate two questions based on their graph for peers to answer.
• Use data software/app for tech-savvy learners.

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5. Interpretation & Critical Thinking (15 minutes)

• Students pair up to exchange graphs. Each pair answers comprehension questions such as:
  • “Which community had more events?”
  • “How does temperature change between the two?”
  • “What could explain these differences based on what you know about Nunavut?”
• Whole class discussion: How can double bar graphs help us understand data better?

I can… statement: "I can interpret double bar graphs and explain what the data shows using complete sentences."

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6. Assessment & Reflection (10 minutes)

• Exit card: Write down one thing you learned about double bar graphs, one thing about continuous/discrete data, and one question you still have.
• Collect graphs and exit cards for formative assessment.

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Additional Differentiation Strategies

• Use sentence starters for interpreting data, e.g., “The graph shows that...”
• Provide extra time or breaks for students with processing challenges.
• Incorporate peer tutoring during group activities.
• Use manipulatives (e.g., coloured blocks to represent values) for kinesthetic learners.

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Cross-Curricular Connection

• Social Studies: Understanding and appreciating the diversity of communities and environment in Nunavut.
• Language: Writing clear, complete explanations and questions based on data.

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This lesson plan offers a rich, real-world data experience aligned to Ontario's curriculum for Grade 5, incorporating culturally relevant contexts to engage students in meaningful mathematics learning.