Curated OER
Exploring Quadratic Graphs
In this algebra worksheet, students solve quadratic equations. They factor and graph their solutions. There are 5 questions with an answer key.
Curated OER
Parent Functions Reference
In this functions worksheet, students explore the graphs of fifteen parent functions. This worksheet is meant as a reference for students.
NASA
Earth, Can You Hear Me Now?
How long did you say? Class groups plot the distances between Earth and Mars and determine the trigonometric function that models the data. Using a calculator, they graph the function to determine when the distance and communication...
Virginia Department of Education
Factors, Zeros, and Solutions
Factors, zeros, and solutions, oh my! Don't let your classes become overwhelmed with the vocabulary. An engaging lesson helps learners make a connection between factors, zeros, and solutions. Pupils explore the relationship between the...
Virginia Department of Education
Logarithmic Modeling
Explore logarithms and logarithmic regression. Young mathematicians first learn about inverse functions and about the logarithm function family. They take their newfound knowledge to use logarithmic functions to model situations and...
Virginia Department of Education
Matching Representations
Pupils explore the many representations of linear functions by completing a matching activity to connect the multiple representations of a function. They then reinforce the connection as individuals create the different representations...
Virginia Department of Education
Linear Modeling
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...
Concord Consortium
Adding the Sines
It's a sign! Scholars analyze sine functions for patterns in their periods. The exploration advances beyond a simple function to the combination of two functions with even and odd coefficients. Their goal is to find a pattern between the...
NASA
Newton’s Cool in the Pool
Pupils work together to investigate the cooling of NASA’s Neutral Buoyancy Laboratory. Using data collected as the pool cooled, groups determine the values needed in Newton's Law of Cooling equation to model the situation. They...
Balanced Assessment
Bagels or Donuts
Explore business problems through mathematical analysis. The task has individuals write and graph a linear system to determine the best business model. They use their models to answer a series of questions that help to make a conclusion.
Inside Mathematics
Quadratic (2006)
Most problems can be solved using more than one method. A worksheet includes just nine questions but many more ways to solve each. Scholars must graph, solve, and justify quadratic problems.
Curated OER
Narrow Corridor
Buying a new sofa? Learn how to use the Pythagorean Theorem, as well as algebra and graphing techniques, to determine whether the sofa will fit around a corner (which I'm sure you'll agree is a very important consideration!).
West Contra Costa Unified School District
Discovering Slope of a Line in Standard Form
From start to finish this skills practice resource provides a way for individuals to explore the standard form equation of a line. Begin with a warm-up, work through the problems, and then discover the relationship between the equation...
Houston Area Calculus Teachers
Cubic Polynomial
Birthdays are a time for celebration, and now they're a time for calculation! An AP calculus lesson uniquely explores relationships between a polynomial function and its derivative. Learners create a cubic function based on their...
NASA
Lunar Rover
What is the shortest distance/time needed to complete a mission? Groups devise a strategy in order to determine the shortest distance and time connecting two points and a segment. They then use graphing, the distance formula, and a...
EngageNY
Lines That Pass Through Regions
Good things happen when algebra and geometry get together! Continue the exploration of coordinate geometry in the third lesson in the series. Pupils explore linear equations and describe the points of intersection with a given polygon as...
Curated OER
Worksheet 1.5: MT-141 Precalculus
In this precalculus worksheet, learners use their graphing calculator to graph functions. They explore and explain the graph of each function. Students manipulate the calculator to find answers to six decimal places.
Curated OER
Inverse Relations
In this Algebra II worksheet, 11th graders graph functions on a coordinate plane. Students determine values for which the function is undefined and explore reciprocal functions. The one page worksheet contains thirty-two problems....
Curated OER
Quadratic Applications
In this quadratic applications worksheet, young scholars complete graphs, charts, comparison charts, and more having to do with quadratic equations. Students complete 5 different activities.
Curated OER
Differentiability and Linear Approximation
In this linear approximation activity, students determine the derivative of a function and explore properties of the error when using a tangent line to approximate a function graph. This two-page activity contains four problems.
Curated OER
Worksheet 6.7 MT-A141 PreCalculus
In this PreCalculus worksheet, students explore inverse relations of sine, cosine, and tangent. They graph three functions and describe the inverse function.
Curated OER
Successive Approximation and Euler's Method
In this approximation worksheet, students use the Euler's method to interpret a piecewise linear function. They explore why the approximation produced using a smaller stepsize is a better approximation. This four-page worksheet...
Curated OER
Exploration 4: Definite Integrals by Trapezoidal Rule
In this integral activity, students geometrically estimate distance in given problems. They use the trapezoidal rule to determine definite integrals. Students explore distance and velocity. This three-page activity contains...
NASA
The Lunar Lander – Ascending from the Moon
What angle? Groups determine the height of the lunar lander as it ascends from the surface of the moon and calculate the angle of elevation of the lunar lander at specific times and distances. The provided series of questions lead the...