Find the faster rate. The resource tasks the class to compare proportional relationships represented in different ways. Pupils find the slope of the proportional relationships to determine the constant rates. They then analyze the...

Discover different patterns by making connections between a rational function and its graph. An engaging instructional activity asks scholars to explore the behavior of different rational functions. Groups discover a connection...

What does a graph or equation say about a situation? Lots! The lesson uses the concepts explored in the previous four lessons in the series and applies them to problem solving situations. Learners create an equation from problems posed...

It is not always easy to walk the straight and narrow. In the sixth portion of a nine-part unit, groups actively recreate a graph depicting motion. Individuals walk toward or away from a motion detector while trying to match a given...

Most problems can be solved using more than one method. A worksheet includes just nine questions but many more ways to solve each. Scholars must graph, solve, and justify quadratic problems.

Which is faster, a Ford or a Ferrari? The short assessment has pupils analyze graphs to determine the rates of change between the two. Individuals interpret the rates of change within the context of speeds of the cars and develop a map...

For this probability and statistics worksheet, 9th graders analyze and interpret histograms as they identify trends in the data.  The two page worksheet contains four problems.  Answers are provided. 

Population density, it is not all that it is plotted to be. Pupils analyze a scatter plot of population versus area for some of the states in the US. The class members respond to eight questions about the graph, specific points and...

Swimming is more fun with quantities. The short assessment task encompasses finding the volume of a trapezoidal prism using an understanding of quantities. Individuals make a connection to the rate of which the pool is filled with a...

Connect graphs, equations, and tables for real-world problems. Young mathematicians analyze relationships to identify independent and dependent variables. These identifications help create tables and graphs for each situation.

How do you combine linear and nonlinear functions? You piece them together! The lesson begins by analyzing given linear piecewise functions and then introduces nonlinear parts. Then the process is reversed to create graphs from given...

In this elapsed time learning exercise, students analyze a schedule of events at a picnic with the starting times listed. Students read and solve 6 problems in which the elapsed time is calculated.

In this graphing data worksheet, middle schoolers answer 5 short answer questions about graphs.  Students determine which type of graph best represents various data sets.

In this math word problems-reading bar graphs instructional activity, students analyze the bar graph and answer six questions about the data in the graph.

There are many ways to correlate coffee to life, but in this case a worksheet looks at the price of two different sizes of coffee. It requires interpreting a graph with two unknown variables, in this case the price, and solving for...

Seven activities make up a collection of supplemental materials to reinforce graphing on a coordinate plane. Worksheet objectives include plotting coordinates within single and four quadrants, measuring straight and...

Scale up your lessons with a performance task. Young data analysts work through an assessment task on scaled bar graphs. They answer questions about a given scaled bar graph on favorite colors, analyze a bar graph to see if it matches...

Keep your pets slim, trim, and healthy using mathematics! Pupils use a linear programming model to optimize the amount and type of food to provide to a pet rabbit. They model constraints by graphing inequalities and use them to analyze a...

Based on a selection of images, learners create a bar graph depicting how many of each image is shown. There are two graphs, each with three images to chart. After they are finished, scholars can analyze the data and draw conclusions. To...

For this real-world example, algebra learners start to get a sense of how to represent the relationship between two variables in different ways. They start by looking at a partial table of values that define a linear relationship. They...

Scatter plots tell a story about the data — you just need to be able to read it! Building from the previous lesson in the series where learners created scatter plots, they now learn how to find associations in those scatter plots....

Chase the traveling solution. Pupils analyze the solutions to a system of linear equations as the parameter in one equation changes. Scholars then use graphs to illustrate their analyses.

Solve simultaneous linear equations, otherwise known as systems of linear equations. Pupils practice solving systems of linear equations by graphing, substitution, and elimination. The workbook provides a class activity and homework...

Read between the curves ... quadratic curves! Young scholars analyze the graphs of two quadratic functions by writing their own function whose outputs are between the two given. They then consider intersecting quadratic functions and...