Curated OER
Parabolas and Inverse Functions
Your Algebra learners will explore what equations are functions or not functions and how to alter the domain to produce a possibility for the relations being a function with a limitted domain.
Virginia Department of Education
Structure and Function of Cell Membranes
Lead your high school class on an exploration inside the cell. Individuals investigate the relationships between cells structure and function given their relative locations on the cell membrane. They explore the concept of homeostasis...
Curated OER
Basic Limits
Learners calculate the limits of functions. In this calculus lesson, students find the left and right handed limits of different functions. They use the Ti Navigator to drag the function around as they study limits.
Curated OER
Approaching Limits
With the assistance of their Ti-84/Ti-83 Plus calculators, students develop a foundation for the limiting process as well as estimate limits from graphs and tables of values. They view how a function behaves as the input approaches a...
Curated OER
Limits at Infinity
Young mathematicians solve problems involving limits in this calculus lesson. They identify the value of x as the limit approaches positive and negative infinity. Learners study the magnitude as x increases in value.
Curated OER
Limit of a Sequence
Young scholars solve problems using limits in this calculus lesson. They calculate the solution to a problem by substituting in positive integers and relate the sequence output as it relates to the limit of a function.
Illustrative Mathematics
Delivering the Mail
A mail truck travels the same amount of miles per day. It will be up to your algebra learners to find an equation for this mailman’s truck. One needs a good understanding of rate of change and the initial value for this model. The...
Kenan Fellows
Using Motion Sensors to Explore Graph Sketching
Get moving to a better understanding of graphs of derivatives. Using motion sensors, scholars vary their velocities to create graphs of the first derivative of a function. The activity challenges groups to first create a script of the...
EngageNY
Tides, Sound Waves, and Stock Markets
Help pupils see the world through the eyes of a mathematician. As they examine tide patterns, sound waves, and stock market patterns using trigonometric functions, learners create scatter plots and write best-fit functions.
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...
Kenan Fellows
Attack of the Aphids!
Insects threaten the food production industry, and aphids are one of the big players! Analyzing data of aphid populations gives insight into their behaviors. Learners model the population data of an uninhibited population with an...
Curated OER
Limits
Students practice the concept of limits graphically, numerically and algebraically. They participate in an exploration lab, BINGO game and complete a puzzle.
Curated OER
Some Explorations With Even And Odd Functions
In this math worksheet, young scholars explain relationships that define even functions. They give the reason that given functions are even functions. Students describe even and odd functions.
Curated OER
Connections Involving Linear And Quadratic Functions
In this math worksheet, students determine the range of the function. Then they graph the functions while finding the coordinates on the plane.
Curated OER
Worksheet 5 - Squeeze Theorem
In this Squeeze Theorem worksheet, pupils compute limits, identify a graph that represents the Squeeze Theorem, and graph given functions. This two-page worksheet contains seven multi-step problems.
Curated OER
Math 53 – Practice Midterm #1
For this math worksheet, learners find the length of the curve given in the polar coordinates. They also evaluate the functions and simplify them.
Curated OER
Limits
Young scholars analyze data algebraically. In this calculus lesson, students determine the limit based on the 3 properties of limits. They identify the domain and range of each function.
Curated OER
Introduction to Limits
Twelfth graders problem solve limit/function value situations. They solve the problems using a graphing calculator, which allows them to see the function's graph, and infer the function value and limit from the graph.
Curated OER
Rachel's Life is in a Hole
Explore how lack of access to water impacts peoples' lives in poor countries. Through text reading and discussion, middle schoolers are presented with the story of a young girl who lives and functions with limited water resources. They...
Howard Hughes Medical Institute
Population Dynamics
Will human population growth always be exponential, or will we find a limiting factor we can't avoid? Young scientists learn about both exponential and logistic growth models in various animal populations. They use case studies to...
Curated OER
Algebra II: Exponential Functions
Students investigate, describe, and predict the effects of parameter changes on the graphs of exponential functions; describe limitations on the domains and ranges of these functions; and examine asymptotic behavior.
Curated OER
Functional Analysis
Students perform functional analysis. For this pre-calculus lesson, students recognize the different elements of a function, graph a function and analyze it. They synthesize composites of other basic functions.
Curated OER
Domains
Your algebra learners work to address the order of operations applied to an expression's input variable and the limitations that may be created because of it. This simple task of a few very well-chosen exercises is elegant in it's way of...
Curated OER
Regents High School Examination: Living Environment 2010
This exam touches upon every topic within the typical first year biology course.. A broad variety of question styles give high schoolers every opportunity to show what they know. Why start from scratch when a comprehensive final exam is...