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Day 1: Understanding Measures of Center & Range

Standards

• CCSS.MATH.CONTENT.5.MD.B.2: Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for solving problems involving information presented in line plots.
• CCSS.MATH.CONTENT.5.MD.B.2.C: Recognize that the data values are measures of center (mean, median, mode) and variability (range).

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Learning Objective ("I can" statement)

• I can find and explain the mean, median, mode, and range of a data set.
• I can analyze a line plot to extract useful information.

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Success Criteria

• Correctly calculate mean, median, mode, and range for given data sets.
• Use line plots to answer questions about the data.
• Explain in my own words what these measures reveal about the data.

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Materials

• Whiteboard and markers
• Student notebooks
• Printed line plot worksheets with fractional data
• Calculators (optional, for in-class use)
• Dyslexia-friendly fonts for all handouts (e.g., OpenDyslexic)
• Manipulatives (fraction strips, number lines)

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Lesson Breakdown

Time	Activity	Description
5 mins	Engage/Activate Prior Knowledge	Quick class discussion: “What do you already know about average, most common, or middle?”
10 mins	Introduction to Measures of Center & Range	Explain mean, median, mode, range using simple numbers and visual aids. Use fraction examples.
15 mins	Guided Practice with Line Plots	Display a line plot; solve problems as a class finding measures of center and range.
15 mins	Collaborative Activity in Pairs	Students work together on worksheets with line plots to calculate all measures.
10 mins	Class Discussion & Reflection	Share answers and reasoning. Make connections to real-life data situations.
5 mins	Exit Ticket	Short quiz: calculate mean, median, mode, and range from a small data set.

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Differentiation Strategies

• Provide fraction visuals for struggling learners
• Allow use of manipulatives (fraction strips) to understand data visually
• Pair higher-performing students with peers to promote peer mentoring
• Dyslexia-friendly handouts with larger fonts and clear spacing

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Extension Activities

• Challenge students to create their own small data sets and calculate the measures of center and range.
• Introduce weighted mean problems using simple real-world examples (e.g., homework and test grades).

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Dyslexia-Friendly Reading Options

• Use dyslexia-friendly fonts (OpenDyslexic) and high-contrast colors on all worksheets.
• Provide any reading instructions in bullet points with clear, concise language.
• Incorporate audio instructions or read-aloud options when possible.

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Day 2: Comparing Data Visualizations (Double-Bar Graphs & Line Graphs)

Standards

• CCSS.MATH.CONTENT.5.MD.B.2: Make a line plot to display measurement data.
• Minnesota State Standard 5.MD.2: Represent data on graphs and interpret their meaning.

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Learning Objective ("I can" statement)

• I can interpret and compare double-bar graphs and line graphs.
• I can use measures of center and range to analyze and make claims about data.

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Success Criteria

• Correct interpretation of data from double-bar and line graphs.
• Compare two related data sets using mean, median, mode, and range.
• Use evidence from the graphs to support a claim about the data.

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Materials

• Double-bar graph and line graph printouts (real-life data themes)
• Markers and chart paper
• Student notebooks for reflection notes
• Calculators for computation
• Dyslexia-friendly materials

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Lesson Breakdown

Time	Activity	Description
10 mins	Review Measures of Center and Range	Brief recap from Day 1, linking to interpretation on new graph types.
20 mins	Interactive Whole Group Graph Analysis	Present double-bar graph and line graph. Model comparing the two data sets using mean, median, mode, and range. Write claims on chart paper.
20 mins	Small Group Graph Comparison Task	Students analyze provided double-bar and line graphs in groups. Record data calculations and write claims supported by evidence.
5 mins	Group Presentations	Groups share findings and claims with the class. Discuss validity and reasoning.
5 mins	Exit Reflection	Write answers to: “What can measures of center and variability tell us about data in graphs?”

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Differentiation Strategies

• Provide sentence starters for writing claims for students struggling with writing (e.g., "I notice that... because...").
• Use color-coded graphs or overlays to help visually organize data for learners with attention challenges.
• Allow use of calculators for all students to speed up computation.

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Extension Activities

• Ask advanced learners to create a new data set that changes the outcome or claim in the graphs.
• Investigate how changing one data point influences mean, median, mode, and range in the graphs.

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Dyslexia-Friendly Reading Options

• Use colored overlays to improve graph readability.
• Provide written and oral instructions.
• Use bullet points and chunk information in smaller, manageable parts.

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Day 3: Solving Real-World Problems & Making Evidence-Based Claims

Standards

• CCSS.MATH.CONTENT.5.MD.B.2: Use line plots and other graphs to solve problems using data.
• CCSS.MATH.PRACTICE.MP3: Construct viable arguments and critique the reasoning of others.

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Learning Objective ("I can" statement)

• I can solve real-world problems using data from double-bar, line graphs, and line plots.
• I can make and support claims about data with evidence and reasoning.

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Success Criteria

• Accurately solve word problems using appropriate graphs and measures of center/variability.
• Construct clear, evidence-based claims to explain solutions.
• Listen to and respectfully critique classmates’ reasoning.

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Materials

• Real-world problem cards involving data interpretation
• Graphs provided for each problem type
• Student notebooks
• Rubric/checklist for evaluating claims and reasoning
• Dyslexia-friendly printed materials

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Lesson Breakdown

Time	Activity	Description
10 mins	Warm-up: Review of Key Terms & Graph Types	Quick quiz/game identifying graph types and key terms (mean, median, mode, range).
30 mins	Problem-Solving Stations	Students rotate through 3 stations (double-bar, line graph, line plot) to solve real-world problems in small groups. Each group writes claims supported by data.
10 mins	Group Discussion and Critique	Class discusses solutions and reasoning. Each group provides constructive feedback to others.
5 mins	Independent Reflection	Students write a journal entry: How can data help us make decisions?
5 mins	Exit Ticket: Mini Problem	Solve a quick real-world problem and write a claim supported by data.

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Differentiation Strategies

• Provide graphic organizers to support claim-evidence-reasoning writing structures.
• Allow oral responses or verbal presentations for students who struggle with writing.
• Offer sentence frames for critique discussions (e.g., "I agree because...", "I wonder if...").

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Extension Activities

• Challenge students to design their own real-world problem and create corresponding data visualizations for classmates to solve.
• Use technology (graphing software or apps) for students to input data and generate graphs.

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Dyslexia-Friendly Reading Options

• Problems and instructions provided in clear font with spacing and bullet points.
• Use audio-recorded tasks or read-aloud support during station activities.
• Highlight key vocabulary and include pictorial representations.

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Summary

These three days combine scaffolding of mathematical concepts with critical thinking and real-world application in line with Common Core standards. The carefully planned activities support diverse learners through differentiated strategies and dyslexia-friendly materials while challenging advanced students with enrichment opportunities. The focus on "I can" statements and success criteria empowers students to monitor their progress confidently. This lesson sequence will genuinely engage 5th graders in analyzing and interpreting data visualizations, preparing them with vital skills for their educational journey and beyond.