Learn on PengiIllustrative Mathematics, Grade 8Chapter 6: Associations in Data

Lesson 1: Does This Predict That?

In this Grade 8 Illustrative Mathematics lesson from Chapter 6, students explore how organizing bivariate data into ordered tables and scatter plots makes patterns and associations easier to identify. Using real measurements such as triangle side lengths and perimeters, students practice sorting data, estimating unknown values based on observed trends, and matching data tables to their corresponding scatter plots by labeling axes.

Section 1

Organizing Paired Data

Property

To investigate if one variable can predict another, we organize our observations into paired data. Each data point consists of a pair of values, (x,y)(x, y), where xx is the value of the first variable and yy is the value of the second variable. This data is typically organized in a two-column table.

Examples

Section 2

Graphing Data to Find Trends

Property

Graphing data involves plotting points on a coordinate plane to visualize the relationship between two variables. This visual representation often makes it easier to discern trends, such as increases, decreases, or other patterns, than looking at a table of data.

Examples

  • A table shows a car's speed every 5 seconds. Plotting time on the x-axis and speed on the y-axis, the graph clearly shows the car accelerating, then cruising at a constant speed.
  • A graph of monthly sales shows the points going up from October to December and then down in January. This visualizes the trend of a holiday sales peak.

Book overview

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Chapter 6: Associations in Data

  1. Lesson 1Current

    Lesson 1: Does This Predict That?

  2. Lesson 2

    Lesson 2: Associations in Numerical Data

  3. Lesson 3

    Lesson 3: Associations in Categorical Data

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Organizing Paired Data

Property

To investigate if one variable can predict another, we organize our observations into paired data. Each data point consists of a pair of values, (x,y)(x, y), where xx is the value of the first variable and yy is the value of the second variable. This data is typically organized in a two-column table.

Examples

Section 2

Graphing Data to Find Trends

Property

Graphing data involves plotting points on a coordinate plane to visualize the relationship between two variables. This visual representation often makes it easier to discern trends, such as increases, decreases, or other patterns, than looking at a table of data.

Examples

  • A table shows a car's speed every 5 seconds. Plotting time on the x-axis and speed on the y-axis, the graph clearly shows the car accelerating, then cruising at a constant speed.
  • A graph of monthly sales shows the points going up from October to December and then down in January. This visualizes the trend of a holiday sales peak.

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 6: Associations in Data

  1. Lesson 1Current

    Lesson 1: Does This Predict That?

  2. Lesson 2

    Lesson 2: Associations in Numerical Data

  3. Lesson 3

    Lesson 3: Associations in Categorical Data