NASA
Understanding the Effects of Differences in Speed—Problem Set D
Fall back and slow down. The fourth lesson in a six-part series on air traffic control leads the class to find the difference in distance traveled based upon the difference in speed. Pupils work through a problem related to walking...
EngageNY
A Critical Look at Proportional Relationships
Use proportions to determine the travel distance in a given amount of time. The 10th installment in a series of 33 uses tables and descriptions to determine a person's constant speed. Using the constant speed, pupils write a linear...
Curated OER
Mathematics: A Picture's Worth a Thousand Words
Students examine school yearbooks from 1950 to the present. They count the number of male and female teachers and administrators. They compile date and extrapolate changes in job trends.
Bowland
Hilbre Island
Young travelers plan a trip to Hilbre Island based on constraints on tides and time. They use a timeline to help determine the optimal day/time to make the trip.
101 Questions
Travel Times
It's just a sign of the times. Given a billboard with distances and travel times to two different interstate highway junctions, learners determine the speed limit. They must incorporate the concepts of distance, rate, and time with that...
EngageNY
Constant Rates Revisited
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 rates...
Balanced Assessment
Dinner Date
Determine just how far to run before dinner. The short assessment asks pupils to determine the distance a person can jog in the time left before dinner. To answer the question, scholars determine the distance if the person jogs one way...
Curated OER
In the Billions and Exponential Modeling
Modeling population growth gives learners an opportunity to experiment with real data. Comparing the growth rates in this real-life task strengthens learners' understanding that exponential functions change by equal factors over equal...
EngageNY
Interpreting the Graph of a Function
Groups sort through NASA data provided in a graphic to create a graph using uniform units and intervals. Individuals then make connections to the increasing, decreasing, and constant intervals of the graph and relate these connections...
EngageNY
Interpreting Quadratic Functions from Graphs and Tables
Seeing functions in nature is a beautiful part of mathematics by analyzing the motion of a dolphin over time. Then take a look at the value of a stock and maximize the profit of a new toy. Explore the application of quadratics by...
Balanced Assessment
Multi-Graphs
So many things change as time goes by. Here, scholars create graphs based on this premise. Each problem asks pupils to sketch a graph that describes a given situation. Their graphs represent various characteristics such as height,...
5280 Math
Step by Step
One step at a time! A seemingly linear relationship becomes an entirely new type of function. Young scholars build their understanding of step functions by completing a three-stage activity that incorporates multiple representations of...
EngageNY
Constant Rate
Two-variable equations can express a constant rate situation. The lesson plan presents several constant rate problems. Pupils use the stated constant rate to create a linear equation, find values in a table, and graph the points. The...
EngageNY
Increasing and Decreasing Functions 2
Explore linear and nonlinear models to help your class build their function skills. In a continuation of the previous lesson plan, learners continue to analyze and sketch functions that model real-world situations. They progress from...
Charleston School District
Constructing Scatter Plots
Having more letters in your name helps you get a better grade in your math class—or does it? Learners create scatter plots to organize data. The lesson places emphasis on determining scale and intervals and labeling axis.
EngageNY
Graphs of Simple Nonlinear Functions
Time to move on to nonlinear functions. Scholars create input/output tables and use these to graph simple nonlinear functions. They calculate rates of change to distinguish between linear and nonlinear functions.
EngageNY
Graphs of Piecewise Linear Functions
Everybody loves video day! Grab your class's attention with this well-designed and engaging resource about graphing. The video introduces a scenario that will be graphed with a piecewise function, then makes a connection to domain...
CK-12 Foundation
Data Summary and Presentation: Chart for Grouping Data
Get social! Create a display of social media use for a class. Pupils use provided information about the time spent on social media to construct a histogram. Using the histogram, learners interpret the data to answer questions.
Howard County Schools
Constant Rate Exploration
Question: What do rectangles and bathtub volume have in common? Answer: Linear equations. Learn how to identify situations that have constant rates by examining two different situations, one proportional and one not proportional.
Curated OER
Coloring Interval Graphs
Learners investigate planning an activity and getting it done on time. In this algebra lesson, students define vocabulary words related quadratic equations, including the vertex and intervals. They figure a good way to color graphs...
Charleston School District
Sketching a Piecewise Function
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...
Mathematics Assessment Project
Middle School Mathematics Test 3
Real-life mathematics is not as simple as repeating a set of steps; pupils must mentally go through a process to come to their conclusions. Teach learners to read, analyze, and create a plan for solving a problem situation. The provided...
Curated OER
Mathemafish Population
It's shark week! In this problem, young mathematically minded marine biologists need to study the fish population by analyzing data over time. The emphasis is on understanding the average rate of change of the population and drawing...
Curated OER
Exercise Set 2.6: An Introduction to Functions
For this functions worksheet, high schoolers solve 70 short answer questions. Students find domain of functions and evaluate them for a given value. High schoolers determine if a mapping diagram represents a function.