EngageNY
Determining the Equation of a Line Fit to Data
What makes a good best-fit line? In the 10th part of a 16-part module, scholars learn how to analyze trend lines to choose the best fit, and to write equations for best-fit lines to make predictions.
EngageNY
From Ratio Tables, Equations and Double Number Line Diagrams to Plots on the Coordinate Plane
Represent ratios using a variety of methods. Classmates combine the representations of ratios previously learned with the coordinate plane. Using ratio tables, equations, double number lines, and ordered pairs to represent...
Education Development Center
Points, Slopes, and Lines
Before graphing and finding distances, learners investigate the coordinate plane and look at patterns related to plotted points. Points are plotted and the goal is to look at the horizontal and vertical distances between coordinates and...
Illustrative Mathematics
Integers on the Number Line 2
Four inequality statements are given for the same two negative numbers. The resource is a good practice for pupils to interpret statements of inequalities relative to the position on the number line. The objective is for pupils to learn...
Willow Tree
Line Graphs
Some data just doesn't follow a straight path. Learners use line graphs to represent data that changes over time. They use the graphs to analyze the data and make conclusions.
Virginia Department of Education
Line of Best Fit
Pupils work through a guided activity on fitting a linear equation to a set of data by entering the data into a calculator and trying to envision a line of best fit. They then have the calculator determine the least-squares line and...
EngageNY
Rational Numbers on the Number Line
Individuals learn how to plot rational numbers on the number line in the sixth lesson of a 21-part module. They identify appropriate units and determine opposites of rational numbers.
PBS
Plotting Pairs of Coordinate Points in all Four Quadrants to Construct Lines
Here is a lesson on coordinates that has pupils view three Cyberchase video clips illustrating the definition of "point" and "line." Along the way, learners will discuss what characters from the videos do, and where problems lie in their...
Curated OER
Read Between the Lines
Build comprehension, inference, and conclusion skills by encouraging learners to see the importance of reading between the lines.
Mathematics Vision Project
Modeling Data
Is there a better way to display data to analyze it? Pupils represent data in a variety of ways using number lines, coordinate graphs, and tables. They determine that certain displays work with different types of data and use two-way...
Charleston School District
Pre-Test Unit 9: Scatter Plots
What do your classes know about statistics? Use a pre-test to determine their background. Topics include scatter plots and lines of best fit, two-way frequency tables, and modeling with linear equations.
Illustrative Mathematics
Electoral College
A cross-curricular resource that takes the electoral votes and allows your learners to organize and analyze the data. Young voters can determine which states are more influential and interpret the dotplot provided for more data....
Radford University
Connecting Scatter Plots and Correlation Coefficients Activity
Collect a variety of bivariate data. Groups determine sets of data that would provide a positive, negative, and no correlation. Team members gather their data through out the week. Scholars plot the data and determine the relationship...
Curated OER
Bar Graphs
Introduce scholars to bar graphs and data analysis through analyzing these visual examples. First, they look at a pictograph of fruit types and answer five observation questions. There is one done for them as an example. Learners do the...
Radford University
Can I Create a Line/Curve of Best Fit to Model Water Drainage?
Learners collect data on the amount of water left in a bottle over time. They graph the data to determine whether the scatter plot shows a curved or straight relationship. Group members then determine an equation for the curve of best...
Curated OER
Scatter-Brained
Seventh graders graph ordered pairs on a coordinate plane. They create a scatterplot. Additionally, they determine the line of best fit and investigate the slope of the line. Multiple resources are provided. An excellent resource!
Curated OER
Let's Get Linear
Math whizzes utilize spreadsheets to examine linear modeling. They roll marbles down a ramp from three different heights and measure how far they roll. They use Excel to record their data and create a plot of their data.
Curated OER
Mystery Liquids: Linear Function
High schoolers determine the linear equations of the density of water and oil by collecting data on the mass of various volumes of each liquid. They construct scatter plots from the data and use these to write the linear equations for...
Curated OER
Mean, Median, Mode, and Range: Reteach
In this line plots worksheet, students review how to make a line plot to show data and review the steps to find mean, median, mode, and range. Students then make a line plot for the data in exercise 1 and use it to answer the remaining...
Curated OER
Chapter Books
In this line plot worksheet, learners create a line plot of the chapter books read by the students of a class and find the median and mode. Learners complete 3 tasks.
EngageNY
Analyzing Residuals (Part 2)
Learn about patterns in residual plots with an informative math lesson. Two examples make connections between the appearance of a residual plot and whether a linear model is the best model apparent. The problem set and exit ticket...
EngageNY
Analyzing Residuals (Part 1)
Just how far off is the least squares line? Using a graphing calculator, individuals or pairs create residual plots in order to determine how well a best fit line models data. Three examples walk through the calculator procedure of...
Arizona Department of Education
Introduction to Integers
Welcome to the backward world of negative numbers. This introductory lesson teaches young mathematicians that negative numbers are simply the opposite of positive numbers as they use number lines to plot and compare single-digit integers.
National Council of Teachers of Mathematics
Geogebra: Residuals and Linear Regression
If the line fits, use it. Using a Geogebra interactive, pupils plot points and try to find the best fit line. They assess the linear fit by analyzing residuals. A radio button allows participants to show the regression line and the...
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