➕ 8th Grade Math · Unit 8

Bivariate Data

14 short narrated lessons in 3 chapters, each with pictures, a quiz with a hint and a second try, and an explanation for every answer.

Standards: 8.SP.A.1 8.SP.A.2 8.SP.A.3 8.SP.A.4

Picture from the lesson “Making Scatter Plots”
Making Scatter Plots
Picture from the lesson “Patterns of Association”
Patterns of Association
Picture from the lesson “Clusters and Outliers”
Clusters and Outliers

What your child will learn

Scatter plots

  1. Making Scatter PlotsMake a scatter plot from paired data.
  2. Patterns of AssociationDescribe positive, negative or no association, and linear or nonlinear patterns in a scatter plot.
  3. Clusters and OutliersIdentify clusters and outliers in a scatter plot and explain what they might mean.
  4. Fitting a LineDraw a line of best fit and judge how closely the data points follow it.
  5. Scatter Plots Review ReviewReview making scatter plots, describing association and fitting a line.

Linear models for data

  1. Writing the Equation of a Trend LineWrite the equation of a trend line using two points on it.
  2. What Slope and Intercept MeanExplain what the slope and intercept of a trend line mean in the data's context.
  3. Making Predictions with a Trend LineUse a trend line equation to predict values and judge how reliable the prediction is.
  4. Linear Models for Data: Review ReviewReview writing trend line equations, interpreting slope and intercept and making predictions.

Two-way tables

  1. Reading Two-Way TablesRead and build a two-way table that shows counts for two categories.
  2. Relative FrequenciesFind row and column relative frequencies in a two-way table.
  3. Finding Association in Two-Way TablesUse relative frequencies to decide whether two categories are associated.
  4. Two-Way Tables Review ReviewReview two-way tables, relative frequencies and finding association in categorical data.
  5. Unit 8 Test: Bivariate DataShow what you learned in the whole unit (Scatter plots, Linear models for data, Two-way tables) by answering mixed questions.

Try a question from this unit

From the lesson “Making Scatter Plots”

A scatter plot of water in cups per week from 0 to 10 and height in centimeters from 0 to 50, with point A at (2, 10), point B at (4, 30) and point C at (8, 40).

This scatter plot shows example data for a few plants. Which pair does point B show?

  • (30, 4)
  • (4, 30)
  • (4, 20)
  • (5, 30)
Show the answer

(4, 30). Point B sits above 4 on the x-axis and level with 30 on the y-axis, so it is (4, 30). The pair (30, 4) swaps the order, but the x-value always comes first.

Hint kids see after a wrong try: “Read straight down from the point to the x-axis first, then straight across to the y-axis.”

Key words

  • scatter plot
  • bivariate data
  • association
  • positive
  • negative
  • cluster
  • outlier
  • line of best fit
  • trend line
  • equation
  • slope
  • intercept
  • prediction
  • two-way table
  • categorical data
  • relative frequency

Try these lessons in Kids Shelf

Narrated lessons, pictures and quizzes for every grade from K to 8. Works offline.

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