Curated OER
Worksheet 28: Parametric Equations
In this parametric equations worksheet, young scholars read informational paragraphs and answer 10 questions regarding parameter, velocity, speed, curvature, parametric equations, and scalar curvature.
Curated OER
Geometry In Space
How can we identify shapes in the Universe? High schoolers will compare and contrast elliptic and hyperbolic geometry. They will also explore one possible way to measure the curvature of the Universe, namely, by measuring the sum of the...
Curated OER
Mirror Curvature
Students investigate parabolas as the shape of a telescopic mirror. For this Algebra I/Algebra II lesson, students explore the relationship between the coefficients of a quadratic function and the shape and position of the...
Curated OER
P-Series Handout
In this calculus worksheet, learners are given 3 short-answer problems regarding p-series, convergence, and estimating convergent p-series.
Curated OER
Mt. Whitney to Death Valley
This is an intriguing problem that brings together real-world data, technology, and mathematical problem solving. If visibility wasn't an issue, could you see from the highest point in the lower 48 states, Mt. Whitney, to the lowest...
Chapman University
Scientific Alphabet Chart - Get to Know Your Greek Alphabet
Greek alphabet letters are used to represent words or values in science and math. Keep a list on hand to refer to while working through calculus or physics problems.
Teach Engineering
Acoustic Mirrors
Investigate sound waves with acoustic mirrors. Using audio software, groups make recordings of musical instruments, both with and without acoustic mirrors. They compare the recordings to see the effect of acoustic mirrors on sound...
Illustrative Mathematics
The Lighthouse Problem
Long considered the symbol of safe harbor and steadfast waiting, the lighthouse gets a mathematical treatment. The straightforward question of distance to the horizon is carefully presented, followed by a look into the...
Curated OER
Math Handbook: Calculus
If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...
Curated OER
Investigating Velocity Effects at Takeoff
Students use, with increasing confidence, problem-solving approaches to investigate and explain mathematical content. They make and test conjectures. They use tables and graphs as tools to interpret expressions, equations, and inequalities.
Curated OER
A Real Life Example of the Distance Formula
Students answer the following question: "Using the lines of latitude and longitude, what is the distance (in degrees) if you were to travel from NASA Dryden to NASA Ames?" They use the distance formula to find the distance (measured in...
Curated OER
The Geometry of Real Images
In this math worksheet, high schoolers read the examples for using the techniques of mathematical modeling. They draw the angles in order to simulate the reflection of light while using a concave mirror.
Curated OER
Worksheet 21 Spring 1996
In this math activity, students consider a path around the unit circle parameterized by σ on the interval [0, 1] with σ(t) = sin(5πt − π), cos(5πt − π). Then they find the vector.
Curated OER
Worksheet 25- Spring 1996
For this math worksheet, students find the values of the vectors. They also they prove that v and w are both orthogonal and find two nonparallel vectors.
Curated OER
The Lift Equation
Learners use the FoilSim educational software program to complete an activity regarding lift. They solve a multivariable equation for each of the variables and apply the results to various problems in different situations.
Curated OER
Math: Will The Airplane Get Off the Ground?
Students use data from real-life models to calculate and compare the force required for an airplane of a given weight to become airborne. They use a graphing calculator to evaluate data and use the World Wide Web to access data.
Curated OER
Higher Order Taylor Polynomials
In this polynomial instructional activity, students approximate values of linearly using the tangent line. They use first and second-degree polynomials to find the equation of a line tangent to a graph. Students explore Taylor's...
Curated OER
Circle Packing
Students identify different parts and properties of circles. For this geometry lesson, students identify the radius, diameter, semicircle and inscribed angle of a circle. They identify the tangent lines to a circle.
Curated OER
Lift vs. Airspeed
Students, after reading the explanation given below, use FoilSim and a graphing calculator to complete the activity to determine the relationship between airspeed and lift of an object by interpreting data.
Curated OER
Wind Gauges
Students use FoilSim interactive software to become familiar with the way in which the flow of air across or around an airfoil affects its ability to create lift.
Curated OER
Wing Shapes and Areas
Students, after reading the explanation given below, use FoilSim to determine the weight of the aircraft that can be lifted by a pair of wings of each type. They also design a unique platform of a wing to lift a plane weighing 11500 pounds.
Curated OER
Characteristics of Lift and Wing Area
Learners use FoilSim to complete the activity and investigate the factors that affect lift and how wing area and lift are related.
Curated OER
Using 3-D Models for Code Validation with FoilSim
Students use FoilSim to complete the activity to create tables of data sets comparing the lift values for a 3-D model of a symmetrical wing section to the values predicted by the FoilSim software.