NASA
Lost in Space: Bone Density
If you don't use it, you lose it. Groups work together to compare bone loss on Earth as opposed to bone loss in space. They determine the equations that model bone loss and make calculations to determine the amount of bone loss for...
Illustrative Mathematics
Identifying Quadratic Functions (Vertex Form)
Pupils calculate the equation of a quadratic in vertex form from a specific graph and determine an equation that would fit the description of a parabola. The final question determines the individuals' understanding of the signs of the...
Illustrative Mathematics
Hours of Daylight 1
The midline of the mathematical model of the number of hours of sunlight is not 12 hours. Pupils use the modeling cycle to determine a function that will model the number of hours of sunlight at a location of their choosing. Using...
EngageNY
Curves from Geometry
Escape to investigate hyperbolas. Pupils take a look at what happens to the elliptical orbital path of a satellite that exceeds escape velocity as the opener to the eighth lesson in a unit of 23. Scholars analyze basic hyperbolas and how...
Curated OER
Graphing Quadratic Equations
Review the form of a quadratic function, and the parabola it creates. Continue on with the whole group to work through a mini-lab, practicing how to graph quadratic equations with one variable. The goal of this activity is for the group...
Curated OER
Applied Mathematics I
In this applied mathematics worksheet, students solve 4 various sets of problems that include scalar equations, existence of solutions, and inverse problems. They determine the number of solutions of a problem shown and justify their...
Curated OER
Mathematics of Image Processing
In this mathematics of image processing activity, students solve 10 various types of problems related to image processing on a computer. They type in all the commands listed and figure out what is going on. Then, students determine the...
Curated OER
Risk Assessment and Geometry
Tenth graders study the concept of risk analysis as it relates to geometry. In this spatial relationship instructional activity, 10th graders are provided a set of coordinates to analyze a piece of land described. Students write a...
Curated OER
Length of an Arc
Students compute the length of an arc and each hypotenuse in the give figure, adding them up in the end. They then develop the formula for the arc length with respect to the x-axis and the y-axis. Students also develop a formula for the...
Curated OER
Effects of Parameter Changes
Students define properties of a quadratic equation. In this algebra lesson, students graph and factor quadratic functions. They write equations for polynomials, given a graph.
Curated OER
NUMB3RS Activity: Fresh Air and Parabolas
Explore parabolas and investigate linear and quadratic functions to solve problems symbolically and graphically. Also use parametric functions to display trajectories on a graphing calculator.
BW Walch
Linear & Exponential Functions
Positioned inside the framework of linear and exponential functions, this lesson is more of an investigation into the effects of changing variables and constants inside an expression. The author takes familiar formulas, those for...
Curated OER
Slider Template
Students identify parameters using a slider template. In this precalculus lesson plan, students relate a slider to a calculator. It provides the students the opportunity to control the perimeter of the equations.
Curated OER
Families of Functions
Learners use sliders to change the parameters of functions and examine how shifting parameters affects a graph. They identify the parameters of functions, find vertical and horizontal stretches, then calculate the scale factor and other...
Curated OER
Standard Form of Quadratic Functions
Students factor quadratic equations. In this algebra lesson plan, students identify the factors and use them to graph the parabola. They find the parameters and vertex of each graph.
Curated OER
Wrapping It All Up
Through learning how to examine linear, quadratic, and exponential functions, students explore the effects of changes in parameters on the graphs of linear, quadratic, and exponential functions. The lesson is designed to be a review of...
Curated OER
Investigating Equations of Lines
High schoolers investigate linear equations as they use technology (Cabri, Jr.) to explore the equations of lines in slope-intercept form. The technology allows learners to manipulate the line and observe the changes in the parameters of...
EngageNY
Inverse Functions
Undo the functions. Learners refresh their knowledge of inverses of functions from Algebra II in the 19th section of a 23-part Precalculus unit. Pupils look at inverses in tables and graphs. They then add to their understanding of...
Curated OER
Graphing the Absolute Vaule Function
Learners investigate the graph of the absolute value function and the relationship between the parameters of the equation and the graph of the function.
Curated OER
Exploring the Exponential Function
Learners collect and analyze data regarding exponential functions of the form y = abx. Young scholars explore the affects of changing parameters on the graph of the function.
Curated OER
Getting Started with the TI-Navigator™ System: What's My Line?
Learners analyze linear functions in this algebra lesson. They explore the meaning of slope and the slope-intercept form of a line as they investigate the effect changing parameters on the graph of a linear function.
Curated OER
Parametric Races & Slopes
Learners investigate the slopes and parametric equations. In this calculus lesson, high schoolers solve parametric equations with specific parameters. They relate lines and slopes based on the derivative of the equation.
Radford University
Rocket Quads
How high will it fly? Pairs build straw rockets and launch them at different angles and determine the height and horizontal distance of the flight path. Teams make conjectures about how the angle affects the measured distances and use...
Curated OER
Second Order ODE's
For this second order ODE's worksheet, students solve 2 different problems that are related to determining the second order ODE's in each equation given. First, they set up an equation where the applied force is the cosine plus the sine...