Scatter Plot Predictions: Dot to Discover!

High School Grade

Lesson
45 minutes

Scatter Plot Predictions: Dot to Discover!

Margaret Frye

Purpose

Students will explore how scatter plots can be used to analyze and predict trends across various fields such as economics, health, and environmental science. They will engage in a project where they collect real-world data, create scatter plots, and determine lines of best fit to make predictions. Through this hands-on activity, students will learn to scale graphs appropriately, decide when to apply breaks to axes, and practice interpolation and extrapolation. The lesson culminates in students presenting their findings and scatter plots to the class, demonstrating their understanding of how scatter plots can inform decision-making processes.

Learning goals

Students will explore how scatter plots can be used to make predictions by constructing their own plots using real-world data. They will learn to scale graphs accurately, apply breaks to axes when necessary, and label all components correctly. Through the process, students will practice interpolation and extrapolation, and identify the line of best fit to understand its role in predicting trends.

Standards

Common Core - CCSS.MATH.CONTENT.HSS.ID.B.6: Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
Common Core - CCSS.MATH.CONTENT.HSS.ID.C.7: Interpret the slope and the intercept of a linear model in the context of the data.
Common Core - CCSS.MATH.CONTENT.HSS.ID.C.8: Compute (using technology) and interpret the correlation coefficient of a linear fit.

Week 1	Day 1
Activities	Begin the lesson by posing the essential question: 'In what ways can scatter plots help us make predictions in various fields?' Engage students in a brief discussion about real-world examples where data analysis is crucial, such as predicting economic trends or understanding health data. This sets the stage for the day's activities and stimulates curiosity. (5 minutes) Students will work in pairs to choose a data set from provided resources, such as economic indicators or environmental statistics. They will explore the data to understand its variables and context. The purpose is to familiarize students with their data, helping them plan how to construct their scatter plots, and understand the importance of using real-world data. (10 minutes) Students will create scatter plots using graph paper or software. They will focus on scaling the graphs appropriately and deciding where to apply breaks on axes if needed. During this activity, students will label axes and data points correctly, reinforcing their understanding of the data's representation. The teacher will circulate to provide guidance and ensure accuracy. (15 minutes) Students will calculate and draw the line of best fit on their scatter plots. They will practice interpolation and extrapolation to make predictions about their data. This activity emphasizes the application of mathematical concepts and enhances students' ability to interpret data trends. Students will use manual calculations or graphing tools to support their findings. (10 minutes) In pairs, students will exchange their scatter plots and provide feedback on each other's work. They will discuss the accuracy of scaling, axis breaks, and the line of best fit. This activity fosters collaboration and critical thinking as students reflect on their understanding and the insights gained from their data analysis. (5 minutes)
Deliverables
Preparation