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Curated OER
Classifying Functions
Eleventh graders sort different types of functions including rational, periodic, exponential, polynomial, quadratic, logarithmic and linear using "function cards." The functions are displayed in multiple representations including...
Curated OER
A Model Solar System
If Earth is modeled by a grapefruit, what planet could be represented by a golf ball? This activity uses everyday and not-so-everyday objects to create a model of the Solar System.
Rice University
Calculus Volume 1
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...
EngageNY
Irrational Exponents—What are 2^√2 and 2^π?
Extend the concept of exponents to irrational numbers. In the fifth installment of a 35-part module, individuals use calculators and rational exponents to estimate the values of 2^(sqrt(2)) and 2^(pi). The final goal is to show that the...
Achieve
Spread of Disease
Viruses can spread like wildfire, and mathematics can model the speed of infection. Given a function, scholars analyze it to describe the spread of a disease within a stadium. Learners find the initial number infected and the maximum...
Mathematics Vision Project
Module 1: Functions and Their Inverses
Nothing better than the original! Help your class understand the relationship of an inverse function to its original function. Learners study the connection between the original function and its inverse through algebraic properties,...
02 x 02 Worksheets
Inverse Functions
Young mathematicians look for patterns in inverse functions as they relate to the original functions. The comprehensive lesson emphasizes vocabulary throughout as well as algebraic and graphical characteristics of the inverse functions.
Mathematics Vision Project
Module 1: Functions and Their Inverses
Undo a function to create a new one. The inverse of a function does just that. An inquiry-based lesson examines the result of reversing the variables of a function, beginning with linear patterns and advancing to quadratic and...
Curated OER
Cutting Corners - Parts 1 and 2
Students use optimization concepts to design their own container. In this optimization lesson plan, students understand how the optimization concept is critical in calculus and why products are packaged the way they are.
EngageNY
Wishful Thinking—Does Linearity Hold? (Part 1)
Not all linear functions are linear transformations — show your class the difference. The first lesson in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...
Curated OER
Reflections
Learners explore reflection of polygons on a coordinate plane. They examine the relationships that exist between corresponding points and sides.
Texas Instruments
Buying Your First New Car!
Learners explore exponential growth and decay using M&M’s in this Algebra II/Pre-calculus lesson plan. They investigate the cost of a new car by calculating depreciation and payments.
Curated OER
Scientific Notation III: Linear vs Exponential
Young scholars after investigating examples of exponential growth students have an intuitive feel for the concept of exponential growth of a system.
Curated OER
Dead Body Math
High schoolers solve the mystery of dead Mr. Potato Head using physics and algebra. They discuss Newton's Law of cooling as it applies to the mystery scenario involving a cooling baked potato as the "victim". They manipulate algebraic...
Curated OER
TI-89 Activities for PreCalculus and AP Calculus
Using the TI-89 calculator, students explore the statistical, graphical and symbolic capabilities of the TI-89. Students investigate topics such as solving systems of equations, finding inverse functions, summations, parametrics...
Curated OER
A Polynomial Quilt
Tenth graders create polynomial quilts. In this polynomials lesson plan, 10th graders use concrete models, such as construction paper, to create various shapes described. Students use the FOIL method to multiply terms and to get a square...
Curated OER
Precalculus: Function Models for Real-Life Situations
Students use calculators and "by hand" techniques to compare models of real-life data situations, determine the best model for a situation, and use their models to make predictions.
Curated OER
Logariths
Students analyze, discuss and memorize the properties of logs. In this calculus lesson plan, students apply the rules of logs while playing a timed game to see which group can write the equations correctly. They walk away from this...
Curated OER
Exponential Equations and Functions
In this college level Pre-Calculus worksheet, students solve problems involving exponential functions. Students determine the domain, range, y-intercept and asymptotes of exponential functions. The three page worksheet contains...
Curated OER
Integrating Functions
For this math worksheet, students find the answers to the functions that includes integration and trigonometry. They use the examples for help with the special functions.
Curated OER
How popular is your favorite site?
Students gather data for the project for the entire year. They plot their data, try to fit a equation to their data, and speculate on why the data shows the pattern it does and project its future growth.
Curated OER
Earth Science: In Depth Look at Earthquakes
Students engage in an interactive Internet lesson covering the reasons and results of earthquakes. After reading eyewitness accounts and viewing animations, they use seismograms to measure and locate the epicenters. In an ongoing study,...
Curated OER
Pi Day (March 14)
Fourth graders determine the value of ? by measuring the circumference and diameter of circular objects such as soup cans, Oreo cookies, etc..
Curated OER
Vertical and Horizontal Translations
Eleventh graders study seven functions. They use their handheld calculator to determine which family of functions the equation belongs, the parent function described, and they calculate the vertical and horizontal translation.