FOCUS QUESTION
In what ways can I represent and interpret information?
A graph is a mathematical diagram which shows the relationship between two
or more sets of numbers or measurements. A pie chart a circle graph is a type
of graph in which a circle is divided into sectors that each represents a
portion of the whole.
Let us watch this youtube video clip on (Types of Graph) to glean
information on the different types there are and when to use them.
Video clip: Types of graphs
Discuss how data presented on graphs are collected.
Method 1
Observation
Method 2
Questionnaire
Method 3
Interview
Discuss which graph could be easily used to collect information on how students get to school.
(Tally Chart could be used) Let us look at the one below.
Name what the different types of graph are and tell when they are most appropriate to use.
Examine the Bar Graph and Histogram closely, and name the feature of the graphs. Students will examine the titles, labels, intervals, bars and axes.
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More children get to school by walking than by bus. |
O |
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The most popular mode of transportation is bus |
O |
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The least used mode of transportation is bike |
O |
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Twenty six students were surveyed. |
O |
FOLLOW UP PRACTICE EXERCISES
Grade Level: 6
Subject: Mathematics
Strand: Statistics & Probability
Topic: Collecting and Representing Data
Focus Question: "In what ways can I represent and interpret information?"
Time: 1 hour
Lesson Objectives:
By the end of the lesson, students will be able to:
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Discuss appropriate uses of various tables and graphs (e.g., bar graphs, tally charts, pictographs).
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Collect data using direct observation, experiments, interviews, and questionnaires.
Materials Needed:
Tally chart templates
Squared paper / chart paper
Markers/pencils
Rulers
Pre-made questionnaires (optional)
Access to digital tools (optional)
Real-world graph samples (newspapers, food wrappers, etc.)
Tally chart templates
Squared paper / chart paper
Markers/pencils
Rulers
Pre-made questionnaires (optional)
Access to digital tools (optional)
Real-world graph samples (newspapers, food wrappers, etc.)
5E Model Lesson Plan
Engage (10 minutes)
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Activity: Begin with a quick class survey on a fun topic (e.g., "What’s your favorite fruit?") and ask students to raise their hands for options: Apple, Banana, Mango, Orange.
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Tally the responses on the board.
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Ask: “What are some other ways we could show this information to help people understand it quickly?”
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Purpose: Activate prior knowledge and generate curiosity around data collection and representation.
Explore (15 minutes)
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Group Activity: In groups of 3-4, students will:
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Choose a simple question to investigate (e.g., "How many siblings do students have?" or "How many pets do you own?")
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Collect data from classmates using one of the following methods (assigned per group):
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Direct observation (e.g., items in a pencil case),
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Interview (ask questions),
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Questionnaire (on paper or orally),
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Short experiment (e.g., tossing a coin 20 times).
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STEM Link: Discuss how scientists and engineers collect data during experiments or user surveys to make decisions or improve designs.
Explain (10 minutes)
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Teacher-led discussion on the different types of data representation:
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Tally charts
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Pictographs
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Bar graphs
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Pie charts (brief mention if time permits)
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Discuss: When is it best to use each type of graph?
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Tally chart → for initial counting
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Bar graph → for comparing categories
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Pictograph → for younger audiences/simple info
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Use examples from real-life data (weather reports, food labels, survey results).
Elaborate (15 minutes)
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Each group uses the data collected to create one or more of the following:
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A bar graph (using squared paper or digital tool like Excel/Google Sheets),
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A pictograph (using stickers or drawings),
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A tally chart (for organizing raw data).
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Groups explain:
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How they collected their data,
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What type of graph they chose and why,
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What they can learn from their representation.
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Evaluate (10 minutes)
Three-Tier Differentiated Evaluation:
| Tier | Activity | Purpose |
|---|---|---|
| Tier 1 (Basic) | Match the data collection method (e.g., observation, interview) with an appropriate example scenario. | Assess understanding of data collection types. |
| Tier 2 (Intermediate) | Interpret a bar graph and answer 2–3 questions (e.g., Which is the most/least? What’s the total?). | Assess ability to read and interpret graphs. |
| Tier 3 (Advanced) | Given a small data set, create a tally chart and convert it into a simple bar graph or pictograph with a key. | Assess graph construction and data interpretation. |
Differentiated Learning:
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Visual learners: Use colorful charts, pictographs.
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Auditory learners: Group discussion, oral presentations.
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Kinesthetic learners: Movement during survey/observation phase.
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Advanced learners: Challenge to create pie charts or analyze dual bar graphs.
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Struggling learners: Provide templates, partially filled charts, and peer support.
STEM Integration:
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Science: Use data to track weather, plant growth, or class experiments.
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Technology: Represent data using Excel or Google Sheets.
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Engineering: Analyze survey results to improve classroom tools (e.g., pencil holders).
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Mathematics: Construct and interpret various data visualizations.
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