Performance
Radford University

Projectile Motion and Quadratic Functions

For Teachers 9th - 12th Standards
Model the flight of a ball. Small groups collect time data for how long it takes to toss a ball between two people. The teacher leads a discussion about projectile motion to get the class thinking about how to calculate the equation of...
Worksheet
Curated OER

Displacement vs. Distance Worksheet

For Students 9th - 12th
Displacement is a foundational concept for physics pupils. If they are having trouble discerning it from distance, this activity can help clear things up. The first page is essentially a piece of graph paper. It has a compass rose and a...
Lesson Plan
Curated OER

Worksheet 2: Graphs, Functions and Derivatives

For Teachers 12th - Higher Ed
In this math worksheet, learners answer 7 questions having to do with graphing derivatives of functions, rectilinear motion, speed and distance.
Lesson Plan
Curated OER

Worksheet 8: Functions and Falling Bodies

For Teachers 12th - Higher Ed
In this math worksheet, young scholars answer 6 questions having to do with continuous and differentiable functions, falling bodies, and derivatives.
Unit Plan
EngageNY

Complex Numbers and Transformations

For Teachers 11th - 12th Standards
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
Unit Plan
Mathematics Vision Project

Module 7: Modeling with Functions

For Students 9th - 12th Standards
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and...
Lesson Plan
Curated OER

Position, Distance, Velocity

For Teachers 9th - 12th Standards
Learners calculate the position, distance and velocity using functions in this calculus lesson. They investigate horizontal motion through the derivative of functions and use the TI to create a visual of their function.
Unit Plan
Mathematics Vision Project

Module 6: Trigonometric Functions

For Students 9th - 12th Standards
Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...
Lesson Plan
EngageNY

Modeling with Inverse Trigonometric Functions 1

For Teachers 11th - 12th Standards
Where should I stand to get the best view? Pupils use inverse trigonometric functions to determine the horizontal distance from an object to get the best view. They round out the lesson by interpreting their answers within context.
Handout
Charleston School District

Sketching a Piecewise Function

For Students 8th - 9th Standards
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...
Lesson Plan
EngageNY

Graphs of Functions and Equations

For Teachers 8th Standards
Explore the graphs of functions and equations with a resource that teaches scholars how to graph functions as a set of input-output points. They learn how the graph of a function is the graph of its associated equation.
Assessment
1
1
PBS

Working with Coordinate Planes: Assessments

For Teachers 5th - 8th Standards
It's time for scholars to show what they know about coordinate planes with a collection of three assessments. The exams' objectives include plotting points on a single grid, measuring using the distance formula, and identifying...
Lesson Plan
EngageNY

Comparing Linear Functions and Graphs

For Students 8th Standards
How can you compare linear functions? The seventh installment of a 12-part module teaches learners how to compare linear functions whose representations are given in different ways. They use real-world functions and interpret features in...
Assessment
1
1
Balanced Assessment

On Averages and Curves

For Students 11th - 12th
Determine the average on a curve. The class finds graphical representations of averages and expresses them both symbolically and on the graph. The assessment requires class members to justify using average to describe graphs.
Lesson Plan
West Contra Costa Unified School District

Talking About Distance, Rate and Time

For Teachers 7th - 10th
Connect the tortoise and the hare fable to mathematics. Learners first identify key terms related to distance, rate, and time. They then solve distance/rate/time problems using different representations.
Lesson Plan
EngageNY

Ferris Wheels—Using Trigonometric Functions to Model Cyclical Behavior

For Students 10th - 12th Standards
Have class members going in circles as they model the path of a Ferris Wheel using trigonometric functions. Building on the previous lesson in this series on transformations, learners use trigonometric functions to model wheels of...
Lesson Plan
EngageNY

Formal Definition of a Function

For Students 8th Standards
Formalize the notion of a function. Scholars continue their exploration of functions in the second lesson of the module. They consider functions as input-output machines and develop function rules for selected functions.
Worksheet
Shmoop

Functions Worksheet 6

For Students 9th - 12th Standards
Instead of the typical function application problems, learners think a little deeper through these ten problems. Multiple types of functions are represented and the questions add a variety of thinking to practice their skills. 
Interactive
Physics Classroom

Electric Field Intensity

For Students 9th - 12th
Learning about electrostatics can be pretty intense! Physics fanatics explore the factors that affect electric field intensity using an interactive from the Static Electricity series. Learners work to complete data tables that relate...
Unit Plan
Radford University

Midsummer Classic’s Homerun Derby

For Teachers 9th - 12th Standards
Hit a home run with your lessons. A two-part activity has learners explore quadratic equations that model the path of a baseball. They see how changing the initial speed of the ball affects its maximum height, maximum horizontal...
Unit Plan
1
1
Mathematics Vision Project

Circles and Other Conics

For Teachers 10th - 12th Standards
Through a variety of hands-on activities and physical scenarios, this far-reaching unit leads learners through an exceptionally thorough exploration of circles and parabolas as conic sections. Geometric construction techniques are used...
Assessment
1
1
Mathematics Assessment Project

College and Career Readiness Mathematics Test C1

For Students 9th - 12th
Challenge high schoolers with a thorough math resource. The 20-page test incorporates questions from upper-level high school math in applied and higher order questions.
Lesson Plan
Curated OER

Checks and Balances

For Teachers 11th
Eleventh graders explain the structure and function of the United States government established by the Constitution. They set up a make-believe scenario: the 3 volunteers have been friends for a long time and have formed a club (the...
Assessment
Mt. San Antonio Collage

Quiz 1: Types of Functions

For Students 9th - 12th Standards
Sometimes the best things are already done for you! Here is a six-problem quiz that has a variety of problems ranging from solving quadratic equations to interpreting a function. The piece-de-resistance is the worked out answer key in...