Curated OER
Animal Skin
Students investigate the skin surface to body area ratios for different animals. In this seventh/eighth grade mathematics/science lesson, students explore heat transfer between an animal’s body and the environment. Using...
Curated OER
Population Models and Qualitative Analysis
In this quantitative analysis learning exercise, students explore the limits of a rate equation. They use quantitative analysis methods to determine the differential, plot graphs of their values, and describe the relationships between...
Curated OER
Linear Graph
Young scholars solve linear equations and graph the different functions. In this algebra lesson, students graph piecewise functions using the slope and y-intercept and the given restrictions on the domain of the line. They discuss rate...
PBL Pathways
College Costs 2
What is the financial benefit for attending a community college for the first two years before transferring to a four-year college? The second part of the educational lesson asks young scholars to explore this question through data...
EngageNY
Exponential Growth—U.S. Population and World Population
Show how exponential growth can look linear. Pupils come to understand the importance of looking at the entire picture as they compare the US population to the world population. Initially, the populations look linear with the same rate...
Curated OER
Active Wear
Middle schoolers interpret and analyze data. In this middle school mathematics lesson plan, students conduct an experiment in which they investigate which solar collector, black, white, or silver, absorbs the most heat. ...
Curated OER
Computing Derivatives
In this computing derivatives worksheet, students determine the derivative, slope, and rate of change in a function. They indicate if a function is constant, increasing, or decreasing. This two-page worksheet contains approximately ten...
Curated OER
Geometry: Parallel and Perpendicular Lines
This basic handout would be good for skills practice or a review of parallel and perpendicular lines. Review the definitions, then practice writing equations of lines that pass through a specific point and are either parallel or...
National Council of Teachers of Mathematics
Varying Motion
For this secondary mathematics learning exercise, high schoolers collect data based on a person’s motion. From this data, learners create graphs comparing displacement, velocity, and acceleration to time. The five-page learning exercise...
Curated OER
Tight Rope
Learn how to explore the concept of linear functions. For this linear functions lesson, high schoolers collect linear data from a motion detector. Students walk to create a linear function. High schoolers plot the...
Curated OER
Slow Down - Speed Up
Pupils explore the concept of distance and time as they use a CBR to mimic distance v. time graphs. Learners walk towards and away from the monitor to create various distance v. time graphs, then discuss what motion creates certain graphs.
Curated OER
A.P. Calculus Exam Prep
In this A.P. Calculus exam practice test, students answer 28 multiple choice questions. Questions cover a wide variety of topics. Students tell the position of a particle moving along a horizontal line. They identify the solution to a...
Curated OER
Logarithmic Functions
Learners explore the characteristics of logarithmic functions and their relationship to exponential functions. Using the subscriber website Explorelearning.com, pupils observe changes in the input variable and its effect on the graph of...
Nevada Outdoor School
Let It Snow! Let It Melt!
Winter weather offers a great opportunity to teach young scientists about the states of matter. This activity-based lesson includes a range of learning experiences, from experimenting with the rate at which ice melts...
Curated OER
Hit the Slopes
Eighth graders work in one collaborative group to understand how ordered pairs are represented and graphed on a coordinate plane. They identify points on the coordinate plane and communicate their understanding of ordered pairs and their...
Curated OER
Average and Instantaneous Velocity
In this velocity worksheet, students determine the average velocity for a trip, graph the distance traveled as a function of time, estimate the slope and identify the instantaneous rate of change of the function. This two-page worksheet...
Curated OER
Using Linear Models
In this Algebra II worksheet, 11th graders examine models whose behavior can be described by a linear function. The four page worksheet contains explanation of topic, three guided problems, and eight practice problems. ...
Cornell University
Math Is Malleable?
Learn about polymers while playing with shrinky dinks. Young scholars create a shrinky dink design, bake it, and then record the area, volume, and thickness over time. They model the data using a graph and highlight the key features of...
Teach Engineering
Forms of Linear Equations
Linear equations are all about form. The fifth part in a unit of nine works with the different equivalent forms of linear equations. Class members become familiar with each form by identifying key aspects, graphing, and converting...
EngageNY
Comparing Linear and Exponential Models Again
Making connections between a function, table, graph, and context is an essential skill in mathematics. Focused on comparing linear and exponential relationships in all these aspects, this resource equips pupils to recognize and interpret...
Curated OER
Graphing Linear Equations with Two Variables
Can your class solve linear equations in two variables? They will be able to after they engage in this lesson. Individuals graph linear equations in two variables using slope and intercept and identifying the relationship between the x...
Curated OER
MVT for Derivatives
Young scholars find the derivative using the mean value theorem in this calculus lesson. They find the slopes of secant and tangent lines, then analyze the function and identify the slope.
Curated OER
Calculus Practice Exam
In this calculus worksheet, students practice solving problems that will be on their calculus exam. They evaluate, take the derivative and find the slope of a tangent line. There are 28 questions.
Curated OER
Finite Differences
Young mathematicians solve problems with polynomials. As they graph and analyze polynomial functions, learners define constant and finite, and determine the relationship between the constant set of differences and the slope of a linear...