+
Lesson Plan
Curated OER

Building Understanding of Rate of Change/Slopes Using Alice

For Teachers 8th - 10th
Students explore slope as a rate of change. In this eighth grade mathematics lesson, students investigate real-world problems to determine rate of change and transform it into a linear representation, thus determining slope. Students...
+
Worksheet
Curated OER

Exploration 1: Instantaneous Rate of Change Function

For Students 11th - 12th
In this function worksheet, students read word problems and write functions. They determine the instantaneous rate of change and identify intervals. This three-page worksheet contains approximately 20 problems.
+
Lesson Plan
Curated OER

Instantaneous Rate of Change of a Function

For Teachers 10th - 12th Standards
Pupils draw the graph of a door opening and closing over time. They graph a given function on their calculators, create a table of values and interpret the results by telling if the door is opening or closing and evaluate the average...
+
AP Test Prep6:53
1
1
Flipped Math

Calculus AB/BC - Rates of Change in Applied Contexts Other Than Motion

For Students 10th - 12th
Stay a while—and learn about rates of change. Scholars learn about rates of change not related to motion by watching an informative video. They see how to interpret derivatives in different contexts, paying particular attention to...
+
Lesson Plan
Illustrative Mathematics

Battery Charging

For Teachers 7th - 9th Standards
Your class will be very interested in the results of this activity. How long does it take a MP3 and video game player to charge?  Sam only has an hour and the MP3 player only has 40% of its battery life left. Plus, his video player is...
+
Activity
1
1
Curated OER

Mathemafish Population

For Teachers 8th - 11th Standards
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...
+
Interactive
CK-12 Foundation

Applications Using Linear Models: Scuba Diving

For Students 7th - 10th Standards
Dive into this resource on rates of change and linear models. Pupils use two sliders in an interactive to adjust water temperature and depth. They use a given linear equation to calculate the rate of change in water temperature per unit...
+
Worksheet
Curated OER

The Babylonian Algorithm, Limits and Rates of Change

For Students Higher Ed
In this successive approximations worksheet, students use the Babylonian algorithm to determine the roots of given numbers. They identify the limits of a function, and compute the rate of change in a linear function. This two-page...
+
Lesson Plan
Curated OER

Algebra 1: Slope as Rate

For Teachers 7th - 9th
Students solve problems with slopes. In this algebra lesson, students identify the slope of a line and relate it to the rate of change.  They graph their lines on the TI and observe changes in the lines.
+
Lesson Plan
Curated OER

Move My Way: A CBR Analysis of Rates of Change

For Teachers 9th - 12th Standards
Learners match a given velocity graph and sketch the corresponding position graph using a graphing calculator. After collecting data from their everyday life, students use specific functions on their calculators to create graphs and...
+
Worksheet
Curated OER

Piecewise Linear Functions: Extending Stories to Graphs

For Students 8th - 10th
Using this resource, scholars develop graphs that model situations by showing change over time. They answer 15 questions based on information from charts that show growth in weight. They extend the concepts to an assessment section of...
+
Activity
1
1
NOAA

Communicate!: Create a Unique Message About Climate Change

For Students 6th - 8th Standards
Scholars use their communication skills to express their take on climate change in the ninth installment of the 10-part Discover Your Changing World series. They create ways to deliver their messages on a specific aspect of climate by...
+
Lesson Plan
2
2
American Chemical Society

A Catalyst and the Rate of Reaction

For Students 6th - 8th Standards
More than 90 percent of chemical products are made using a catalyst. Lesson demonstrates the way a catalyst changes the rate of reaction without altering the chemical reaction. A catalyst doesn't appear as a reactant or a product, yet it...
+
Lesson Plan
Illustrative Mathematics

Chicken and Steak, Variation 2

For Teachers 7th - 9th Standards
Many organizations put on barbecues in order to make money. In a real-world math problem, the money allotted to purchase steak and chicken at this barbecue is only one hundred dollars. It is up to your potential chefs to figure out how...
+
Lesson Plan
Curated OER

Extrema on an Interval

For Teachers 9th - Higher Ed
Students explore maximum and minimum points, slopes and tangents. In this Pre-Calculus lesson, students solve optimization problems and find rates of change.
+
AP Test Prep9:14
1
1
Flipped Math

Calculus AB/BC - Introduction to Related Rates

For Students 10th - 12th
Here's a video for those who can relate to being confused about related rates. The fourth of eight lessons in Unit 4 - Contextual Applications looks at related rates. Individuals learn to write equations that show a relationship between...
+
AP Test Prep
1
1
Flipped Math

Calculus AB/BC Mid-Unit 5 Review: Analytical Applications of Differentiation

For Students 10th - 12th
It's time to put analytical applications to work. Learners use the eight questions of the mid-Unit 5 review to refresh their memories of the key points. Pupils apply what they have learned to use the Mean Value Theorem, find extrema...
+
Lesson Plan
Curated OER

Lessen the Loan

For Teachers 7th - 9th
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.
+
Worksheet
Curated OER

Newton's Law of Cooling

For Students Higher Ed
In this Newton's Law of Cooling instructional activity, students complete an essay format write up of a convection model. They write the purpose and assumptions of their lab. Students complete three rate of change problems. They describe...
+
Lesson Plan
Virginia Department of Education

Linear Modeling

For Teachers 8th - 11th Standards
An inquiry-based algebra lesson explores real-world applications of linear functions. Scholars investigate four different situations that can be modeled by linear functions, identifying the rate of change, as well as the strength and...
+
Lesson Plan
1
1
Natinal Math + Science Initative

Slope Investigation

For Students 6th - 9th Standards
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...
+
Lesson Plan
EngageNY

Euler’s Number, e

For Teachers 9th - 12th Standards
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. 
+
Lesson Plan
EngageNY

Constant Rates Revisited

For Teachers 8th Standards
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...
+
Lesson Plan
Curated OER

Slope, Vectors, and Wind Pressure

For Teachers 9th - 11th
A hands-on lesson using the TI-CBR Motion Detector to provide information to graph and analyze. The class uses this information to calculate the slope of motion graphs and differentiate scalar and vector quantities. There is a real-world...