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Grade 8 · Bivariate Data

Rain or Shine

Students plot a lemonade stand's weather-and-sales data — ready-made, one dataset at a time — and learn to name what they see: positive, negative, or no association, and the outlier with a story. The gentler on-ramp to What's the Connection.

Duration50 min
Lesson formatGuided data study
GradeGrade 8
Prep levelLow to moderate

☔ A memorable classroom experience

This is a complete instructional experience with a curiosity hook, explicit modeling, student choice, collaboration, formative assessment, and extension.

✓ Standards-ready learning target
☔

Common Core standards covered

© Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

Teacher-facing overview

Big idea: Construct and interpret scatter plots for bivariate measurement data, describing patterns of association including clustering, outliers, positive or negative association, and linear association.

Student target: “I can plot paired data as a scatter plot and describe the association: positive, negative, or none; roughly linear or not; and any outlier, with a real-world story for it.”

Success criteria: I can plot (x, y) pairs accurately with labeled axes. · I can name an association positive, negative, or none — and say it in weather-and-sales words. · I can spot an outlier and offer a plausible story for it. · I can say when a cloud of points is roughly linear.

Essential question

A summer stand tracks weather and sales. When do two number lists actually have something to do with each other — and how does a picture show it?

Learning target: I can plot paired data as a scatter plot and describe the association: positive, negative, or none; roughly linear or not; and any outlier, with a real-world story for it.

Success criteria

Why this matters

This is 8.SP.A.1 with the data already on cards: students spend the whole lesson on the standard's actual verbs — construct, interpret, describe — instead of on the logistics of measuring arm spans. All three association types show up in one storyline, and the outlier comes with a findable story, which is the interpretive habit scatter plots exist to teach. What's the Connection then adds the messy, motivating part: data the class collects itself.

Students should already be able to

Vocabulary to define explicitly

🔒 3 more terms with examples and non-examples — Positive association, Negative association, Outlier — are defined in the full lesson. See plans →

Where this shows up outside the classroom

Retail and stockingSellers everywhere plot weather against sales to decide what to stock — this lesson is that job at stand scale.
Sports analyticsTeams scatter-plot practice hours, sleep, and minutes played against performance — and learn which pairs are jersey-number noise.
Science fairsNearly every fair project is two measured variables and this exact frame: association, shape, outliers.

Assessment plan

Formative — for feedback during the lesson

Summative — the graded evidence: The exit ticket (plot, frame, outlier interrogation), scored with the four-criterion rubric.

The task students work on

The Rain or Shine stand sells lemonade and umbrellas at the park, and the owner logged three summers' worth of questions in one notebook: eight days of afternoon temperature vs cups of lemonade sold (one storm-shortened day included), eight days of sunny hours vs umbrellas sold, and — the owner's odd hunch — eight players' jersey numbers vs points scored at the park league. Your team plots each list and tells the owner which pairs are really related.

The owner's notebook — three question pairs.

DatasetPairs (x, y)AssociationLinear?Outlier?
Temp vs lemonade(10,4) (14,6) (16,9) (20,12) (22,14) (26,18) (28,20) (24,4)   
Sunny hrs vs umbrellas(1,9) (2,8) (3,8) (4,6) (5,5) (6,4) (7,2) (8,1)   
Jersey # vs points(3,7) (5,2) (8,9) (12,4) (15,8) (18,3) (21,6) (23,5)   

Anticipated student strategies

Plot-and-describe is the standard itself; the thumb test gives outliers a definition; the ruler preview points at next lesson without stealing it.

  1. Plot, then squint. The student plots all eight points, then describes the overall drift of the cloud: climbing, falling, or shapeless.

    The core routine. Share first, and push past 'it goes up' to the two-variable sentence: hotter days SELL MORE cups.

🔒 2 more anticipated strategies with select-and-sequence guidance are in the full lesson. See plans →

Lesson script

0–6 min
Warm-up: predictions on recordMP3
Teacher says: “Before any data: hotter days — more lemonade or less? More umbrellas or less? And the weird one: does a player's JERSEY NUMBER change how many points they score?”

Record the class predictions on the board, including the confident laughter at the jersey question. Today the plots rule on all three.

Ask: Why are you so sure the jersey number doesn't matter, when you haven't seen the data?
Listen for: No mechanism — the number is just cloth. (Hold this: 'no reason' predicts 'no pattern', and the plot will agree.)
6–16 min
Mini-lesson: plotting the lemonade summerMP4 · MP6
Teacher says: “Temperature across, cups up — one dot per day. (10, 4)… (28, 20). Now describe the CLOUD, not the dots: as temperature rises, cups rise — positive association, and it climbs steadily enough to call roughly linear. But (24, 4): hot day, four cups. That dot is far from the pattern — an outlier. In data work, outliers get interrogated, not deleted: what happened that day? The owner's log says a storm closed the stand at noon.”

The describing frame goes on the board: association (positive/negative/none) + shape (roughly linear or not) + outliers (which point, what story).

  • Axes labeled with units before the first dot.
  • Describe the trend across ALL points; then, and only then, discuss the one that disagrees.
Ask: Why not just delete (24, 4) and enjoy the cleaner plot?
Listen for: It's real — that day happened. The outlier carries information (storms kill sales) that the pattern alone misses.
16–32 min
Team plots: umbrellas and jerseysMP1 · MP4
32–42 min
Owner's briefingMP3
42–48 min
Independent exit ticketMP6
48–50 min
ClosureMP3

🔒 The remaining 4 steps — fully scripted with teacher-says lines, discourse questions, look-fors, and interventions — are in the full lesson. See plans →

Misconceptions and how to respond

🔒 Every misconception ships with a tested classroom response. See plans →

Scaffolded practice

The workbook follows gradual release rather than a page of blank prompts: 1 fully worked, 1 partially completed, then 4 independent.

  1. I doPlot the lemonade data — (10,4), (14,6), (16,9), (20,12), (22,14), (26,18), (28,20), (24,4) — and run the describing frame.

🔒 5 more prompts across all three release tiers are in the full lesson. See plans →

Worked solutions and scaffolds for every prompt are in the downloadable kit, included with membership. See plans and pricing.

Exit ticket

  1. Plot these five days of temperature vs hot-chocolate cups: (2, 18), (6, 15), (10, 10), (14, 6), (18, 3). Name the association.

🔒 2 more exit-ticket questions are in the full lesson. See plans →

Worked answers, the completed answer tables, and the scoring rubric are in the downloadable kit, included with membership. See plans and pricing.

Printable handouts in the kit

Lemonade Plot GridLabeled coordinate plane, ready to photocopy.
Umbrella & Jersey Plot GridLabeled coordinate plane, ready to photocopy.
Dataset Cards — cut along the dashed lines6 cut-out cards with dashed guides.

All handouts are in Printable_Handouts.pdf inside the kit download.

Materials and classroom resources

Teacher materialDataset cards
Student materialPlot grids
Visual modelRulers
Recording toolColored pencils
Teacher GuideFull script, timing, differentiation, and assessment plan.
Student WorkbookPrintable student pages with workspace and reflection.
Answer Key & AssessmentWhat to look for, scoring guide, and misconceptions.

Student experience

Students enter through a low-floor prompt, build or sketch a model, test a strategy, revise their thinking, collaborate, and present a final solution. The task remains accessible while allowing for sophisticated reasoning.

Detailed facilitation notes

  1. Step 1: Plot the lemonade data and describe the pattern. Ask: “What do you notice?”, “What could you try next?”, and “How can you prove that?”
  2. Step 2: Find and explain the outlier. Ask: “What do you notice?”, “What could you try next?”, and “How can you prove that?”
  3. Step 3: Plot the umbrella data — the opposite pattern. Ask: “What do you notice?”, “What could you try next?”, and “How can you prove that?”
  4. Step 4: Test a no-pattern dataset. Ask: “What do you notice?”, “What could you try next?”, and “How can you prove that?”
Teacher move: Allow productive struggle. Use a question, visual model, or peer strategy before directly showing the next step.

Differentiation and inclusion

Support: Data is pre-collected, small (8 points), and whole-number; one dataset at a time with a fixed describing frame. Extend by collecting the class's own paired data — What's the Connection's whole design.

Language support: “I started by…”, “My model shows…”, and “I know my answer is reasonable because…”.

Extension: Require a second solution, alter a condition, or have students write a challenge for another group.

Accessibility: Manipulatives, enlarged visuals, oral response choices, partner reading, and reduced-copy student pages.

Assessment plan

Formative checks: Strategy choice, accuracy, representation, collaboration, and explanation.

End evidence: Two completed scatter plots with the association named and the outlier explained.

Mastery: The student completes the task accurately and explains the strategy with limited prompting.

The downloadable kit — teacher guide, workbook, answer key, and printables — is part of the Grade 8 Math membership. Plans start at $10/month (see plans), and every plan covers both math and ELA for its grade. The Phone Plan Showdown sample is free for everyone. Already a member? Sign in.

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