Curriculum / Math / 8th Grade / Unit 8: Bivariate Data / Lesson 5
Math
Unit 8
8th Grade
Lesson 5 of 9
Jump To
Write equations to represent lines fit to data and make predictions based on the line.
The core standards covered in this lesson
8.SP.A.3 — Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. For example, in a linear model for a biology experiment, interpret a slope of 1.5 cm/hr as meaning that an additional hour of sunlight each day is associated with an additional 1.5 cm in mature plant height.
The foundational standards covered in this lesson
8.F.B.4 — Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
Students recall and are re-engaged in their work with linear equations, specifically writing linear equations given a graph or information about the relationship.
Unlock features to optimize your prep time, plan engaging lessons, and monitor student progress.
Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
The scatter plot below represents the relationship between a crocodile’s bite force (in pounds) and its body mass (in pounds) for several species of crocodiles. Patti drew a line through the graph to represent the trend in the data points.
a. Write an equation to represent the line of best fit that Patti drew for the data.
b. Using your equation, predict the bite force of a 600-pound crocodile.
Grade 8 Mathematics > Module 6 > Topic C > Lesson 9 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Jerry forgot to plug in his laptop before he went to bed. He wants to take the laptop to his friend’s house with a full battery. The pictures below show screenshots of the battery charge indicator after he plugs in the computer at 9:11 a.m.
a. The screenshots suggest an association between two variables. What are the two variables in this situation?
b. Make a scatter plot of the data.
c. Draw a line that fits the data and find the equation of the line.
d. When can Jerry expect to have a fully charged battery?
Laptop Battery Charge, accessed on March 15, 2017, 12:45 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
A set of suggested resources or problem types that teachers can turn into a problem set
Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
The scatter plot below shows the incomes of a sample of people in a town by their number of years of education.
a. Draw a line through the data points that best represents the trend in the data.
b. Write the equation for the line you drew.
c. Someone from this town completed 16 years of education. What prediction can you make about their annual income?
The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.
Lesson 4
Lesson 6
Topic A: Associations in Bivariate Numerical Data
Define bivariate data. Analyze data in scatter plots.
8.SP.A.1
Create scatter plots for data sets and make observations about the data.
Identify and describe associations in scatter plots including linear/nonlinear associations, positive/negative associations, clusters, and outliers.
Informally fit a line to data. Judge the fit of the line and make predictions about the data based on the line.
8.SP.A.2
8.SP.A.3
Interpret the slope and $$y$$-intercept of a fitted line in context.
Create a free account to access thousands of lesson plans.
Already have an account? Sign In
Topic B: Associations in Bivariate Categorical Data
Create and analyze two-way tables representing bivariate categorical data.
8.SP.A.4
Calculate relative frequencies in two-way tables to investigate associations in data.
Complete two-way tables and identify associations in the data.
See all of the features of Fishtank in action and begin the conversation about adoption.
Learn more about Fishtank Learning School Adoption.
Yes
No
Access rigorous, relevant, and adaptable math lesson plans for free