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Lesson Plan
Illustrative Mathematics

Velocity vs. Distance

For Teachers 7th - 9th Standards
At the end of this activity, your number crunchers will have a better understanding as to how to describe graphs of velocity versus time and distance versus time. It is easy for learners to misinterpret graphs of velocity, so have them...
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PPT
Curated OER

Velocity and Acceleration

For Teachers 6th - 8th
Compliment your physics lesson with this PowerPoint which demonstrates many important points regarding acceleration and velocity. A starter experiment activity to stimulate student thinking is given, and may prove very interesting to a...
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Interactive
McGraw Hill

Orbital Velocity Interactive

For Students 9th - Higher Ed
Why does it take Pluto 90,000 days to orbit the sun, but it only takes Mercury 88 days? An interactive lesson helps pupils find a connection between the speed of orbit and distance a planet is from the sun. The simulation allows for...
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Lesson Plan
Curated OER

Lesson #20 Rates of Change and Velocity

For Teachers 10th - 12th
Pupils investigate speed. In this rate of change lesson, students complete a rate/time/distance table to determine the average m.p.h. of a given trip. They listen and follow along with the lecture and examples to determine the average...
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Instructional Video6:15
Corbett Maths

Average Rate of Change

For Students 8th - 12th Standards
Simply find the slope to find the average rate of change. A short video provides the definition of the average rate of change. Using the definition, pupils calculate the average rate of change to solve problems that cover finding average...
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Worksheet
Curated OER

Motion Basics

For Students 6th - 8th
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...
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Lesson Plan
Curated OER

Rate of Change 1

For Teachers 10th - 11th
In this rate of change worksheet, students use functions to determine the velocity of an object. This two-page worksheet contains ten problems.
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Activity
Noyce Foundation

First Rate

For Students K - 12th Standards
Explore distance and time factors to build an understanding of rates. A comprehensive set of problems target learners of all grade levels. The initial problem provides distance and time values and asks for the winner of a race. Another...
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Lesson Plan
Curated OER

Lab 2: Drag Racing

For Teachers 9th - 12th
In this lesson, high schoolers, Analyze the relationship between velocity and acceleration * Calculate an object's average acceleration * Collect data and interpret it* Create and analyze a graph showing acceleration.Students also work...
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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...
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PPT
Curated OER

Motion and Force

For Teachers 9th
All the main concepts in motion and force are covered in this presentation.  Each slide is a great summary and will appeal to your students with a clean design and images that should seem relevant.  Definitions of speed, displacement,...
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Lesson Plan
EngageNY

The Concept of a Function

For Students 8th Standards
Explore functions with non-constant rates of change. The first installment of a 12-part module teaches young mathematicians about the concept of a function. They investigate instances where functions do not have a constant rate of change.
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Worksheet
Curated OER

Supplementary Related Rates Problems

For Students Higher Ed
In this rates worksheet, students read story problems, determine the necessary information, and set up equations to determine the velocity and rates. This two-page worksheet contains two multi-step story problems.
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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...
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Worksheet
Curated OER

Related Rates Problems: An Application of Implicit Differentiation and the Chain Rule

For Students Higher Ed
In this related rates problem instructional activity, students use the chain rule and implicit differentiation to solve related rate problems, such an writing an expression relating to the ripple of a circle. This three-page...
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Worksheet
Curated OER

Average and Instantaneous Velocity

For Students Higher Ed
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...
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PPT
Curated OER

What is Motion?

For Teachers 6th - 7th
Prior to beginning a math or physical science lesson on motion, use this presentation to define the concepts of motion, rate, velocity, and speed. This resource lacks concrete examples but could be useful as discussion starter.  
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Lesson Plan
Curated OER

Spuds in Space

For Teachers 3rd - 8th
Young scholars explore the effects of velocity on an object when it collides with another object. They design and outfit a potato astronaut in a spacesuit to withstand the hazards of high velocity impacts from space debris and meteoroids.
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AP Test Prep
College Board

2007 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
There is just a single real-world problem. Released free-response items from the 2007 AP® Calculus BC Form B contains only one real-world question. The question involves rate of change of wind chill scenario. The mathematical problems...
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Worksheet
Curated OER

Euler's Method

For Students Higher Ed
In this Euler's method instructional activity, students use Euler's method to determine one-second time intervals in a rate problem. They explore functions to estimate rate changes in small time intervals. This two-page instructional...
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Lesson Plan
Curated OER

Vectors: How Much Force Can You Apply

For Teachers 9th - 12th
This lesson plan entails the viewing of two videos to get an overview of force and its application. The lesson plan covers how vectors use force in real-world situations.
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Worksheet
Curated OER

Motion Crossword Puzzle

For Students 7th - 9th
In this motion instructional activity, students complete a crossword puzzle given 11 clues related to rate, acceleration, force of gravity and velocity. They also complete a puzzle where they unscramble 11 words related to motion to...
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Lesson Plan
Kenan Fellows

Analyzing Speed from Different Modalities

For Teachers 6th - 12th Standards
Show us your moves. Using sensor equipment, scholars track the motion of different movements, such as jogging, skipping, or jump roping. They analyze velocity and acceleration and create graphs representing each movement.
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AP Test Prep
College Board

2006 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Develop more than just a topical approach to the exam. The six free-response questions from 2006 reveal how the AP exam assesses topics. By using the questions, pupils practice topics such as velocity, sketch slope fields, solving...