Curated OER
Extrema on an Interval
Students explore maximum and minimum points, slopes and tangents. In this Pre-Calculus lesson, students solve optimization problems and find rates of change.
Curated OER
Lessen the Loan
Middle-schoolers explore the concept linear equations. They use the internet to navigate through videos and problems. Pupils problem solve to determine rates of change, slope, and x and y-intercepts.
Curated OER
Determination of a Rate Law
Students determine the rate law for a chemical reaction. They use graphical techniques in the analysis of experimental data.
Natinal Math + Science Initative
Slope Investigation
Context is the key to understanding slope. A real-world application of slope uses a weight loss scenario with a constant rate of change to introduce the concept of slope of a line, before it makes a connection to the ordered pairs and...
National Institute of Open Schooling
Chemical Kinetics
Not all chemical reactions happen at the same rate because some, like explosions, occur quickly and some, like rusting, occur over time. Here, learners explore chemical reactions and their rates in the 16th lesson of 36. Through readings...
EngageNY
Linear Functions and Proportionality
Connect linear equations, proportionality, and constant rates of change to linear functions. Young mathematicians learn how linear equations of the form y = mx + b can represent linear functions. They then explore examples of linear...
EngageNY
Euler’s Number, e
Scholars model the height of water in a container with an exponential function and apply average rates of change to this function. The main attraction of the lesson is the discovery of Euler's number.
Inside Mathematics
Swimming Pool
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...
California Education Partners
Miguel's Milkshakes
Moooove over, there's a better deal over there! The fourth segment in a series of eight requires individuals to determine the best unit cost for milk. Scholars calculate the least amount they can spend on a particular quantity of milk....
EngageNY
End-of-Module Assessment Task: Grade 7 Mathematics Module 4
Asses the class to determine their knowledge of proportional relationships involving percents. Class members work through the nine-question assessment with a variety of percent problems. The multi-step problems involve simple interest,...
PBS
Color Code
Don't let your brain play tricks on you! Learners test brain reaction rates while it is receiving multiple stimuli. They time each other reading a set of color words written in different colors and again when they are written in black....
National Council of Teachers of Mathematics
National Debt and Wars
Take a functional approach to the national debt. Learners collect information about the national debt by decade and plot the data. They determine whether an exponential curve is a good fit for the data by comparing the percent changes...
Space Awareness
Climate Zones
The climate at the equator is hotter than the climate at the poles, but why? The lesson goes in depth, explaining how the angles of illumination relate to the heating rate at different latitudes and seasons. Scholars use a strong lamp,...
Curated OER
The Effects of Light Intensity and Wavelength on the Rate of Photosynthesis
High schoolers use an on line website to simulate the effects of light intensity and wavelength on photosynthesis. In this photosynthesis lesson plan, students determine how wavelength of light and intensity of light affect the rate at...
Curated OER
Chemistry Module 2 - Specifications
A valuable resource provides a list of concepts that young chemists should grasp. The topics include energetics, kinetics, equilibria, redox reactions, and the halogen group. Employ this as a guide for your own curriculum planning, or a...
Curated OER
Loan Amortization - Mortgage
Upper graders explore the connection between interest and principal. They use an amortization schedule to determine the amount of principal paid vs interest on a $100,000 home loan. Fourteen discussion questions and a research-based...
It's About Time
Taking a Ride on a Lithospheric Plate
Assist your pupils and broaden their horizons with several activities that determine the exact positioning of various communities over the globe. Pupils use data from the Global Positioning System to determine the position and rate of...
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.
Illustrative Mathematics
Molly's Run
A simple lesson with a lot of support behind it. Your learners will find out how long it takes Molly to run a mile by choosing their solution method. The activity can be used as a lesson or as an independent assignment. Preface with...
Curated OER
Solid, Liquid, and Gas
Delve into the differences among solids, liquids, and gases with this PowerPoint. It is both applicable and attractive. Large, colorful diagrams display the molecular arrangement of each state of matter and their properties are arranged...
Virginia Department of Education
Heat Transfer and Heat Capacity
It's time to increase the heat! Young chemists demonstrate heat transfer and heat capacity in an activity-packed lab, showing the transitions between solid, liquid, and gaseous phases of materials. Individuals plot data as the changes...
Curated OER
Motion Basics
Quiz those kids to assess what they've gleaned from your last lesson on Newton's laws of motion. There are 10 questions that have learners define force, acceleration, velocity, and speed. A bonus question has them write a motion story...
Curated OER
Calculus Review Worksheet
In order to review calculus skills, mathematicians read story problems regarding area, change of rate, volume, and distance. They determine rates per minute, per second, and miles per hour from given information. This two-page...
Curated OER
Worksheet 20 Fall 1995
In this math worksheet, students describe a step by step method to solve rate problems. Then they state the time derivatives of different quantities.