EngageNY
Euler’s Number, e
Scholars model the height of water in a container with an exponential function and apply average rates of change to this function. The main attraction of the lesson plan is the discovery of Euler's number.
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...
West Contra Costa Unified School District
Introduction to Logarithms
Build on pupils' understanding of inverse functions by connecting logarithmic functions to exponential functions. This activity allows individuals to see graphically the inverse relationship between an exponential and logarithmic...
Curated OER
Sunrise, Sunset
What locations on Earth get the longest number of hours of daylight in the summer? Hint: It's not the equator! Use real-world sunrise and sunset data to develop trigonometric models that can be used to estimate the number of hours of...
CK-12 Foundation
Higher Order Derivatives—Acceleration and Jerk
Accelerate your class through finding the second derivative. Using a bank of equations, pupils determine the equations for distance, velocity, and acceleration and their associated function notations. With the equations, learners answer...
Curated OER
Chapter 7 Review: Radical Notation
In this radical notation worksheet, students write expressions using rational exponent notation and evaluate expressions with radical notation. They find the inverse of a function and give the domain. This three-page worksheet contains...
Curated OER
Exploring F function Graphs
Using three set of data that relate temperature to another variable, 10th graders will use graphs, tables, or equations to make predictions about data. Students will identify the relations as linear or non-linear. Students will define...
EngageNY
Why Stay with Whole Numbers?
Domain can be a tricky topic, especially when you relate it to context, but here is a lesson that provides concrete examples of discrete situations and those that are continuous. It also addresses where the input values should begin and...
MCAS Mentor
Number Sense and Operations
In this number sense and operations learning exercise, learners solve 15 different types of problems that include reading number lines and solving inequalities. First, they write the scientific notation of various numbers given. Then,...
Curated OER
Equal Differences Over Equal Intervals 2
Your algebra learners explore linear functions concretely using tables of values in a collaborative task. The idea that linear function values change by equal differences over equal intervals, is emphasized. The slope and...
Curated OER
Equal Factors Over Equal Intervals
Exponential functions and their growth rates are explored concretely using tables in a collaborative task. Then the successive quotient is explored algebraically.
Curated OER
Nonlinear Inequalities
In this Algebra II worksheet, 11th graders solve nonlinear inequalities, graph the solution set on the number line, and write the solution in interval notation. The one page worksheet contains thirty-eight problems. Answers...
Curated OER
Variables, Formulas, Functions, Graphs and Linear Approximations
In this limitations of formulas activity, students answer four essay questions about functions. Two questions refer to the limitations of formulas. They graph one function and explain how it specifies the rule of the function.
Curated OER
Variables, Formulas, Functions, Graphs
In this function worksheet, students are given 6 short-answer problems regarding formulas vs. functions, graphing functions and different ways to view functions.
Curated OER
Derivatives of Inverse Functions
In this derivatives worksheet, students use the chain rule to show equalities between functions. They read a tutorial that guides them through the process of using the chain rule to find derivatives. This worksheet includes five short...
Curated OER
Partial Derivatives for a Function of Two Variables
In this partial derivatives activity, students complete one word problem by finding the (x,y) coordinates of a point when it moves parallel to one axis. When given a function, they find six partial derivatives. Students solve four...
Curated OER
Basic Ideas of Functions
In this Algebra I/Algebra II worksheet, young scholars determine whether or not a relation is a function. Students determine the domain of a function and express the answer in interval notation. The three page worksheet...
Curated OER
Composition Of Functions
Students investigate the concept of a function and practice using the notation and compute the values of composite functions. They use the examples provided in the lesson for guided practice with scaffolding provided by the teacher.
Curated OER
Linear Modeling: Functions
Pupils analyze linear functions. In this algebra lesson, students create a linear model to relate coordinate pairs. They evaluate and solve equations.
EngageNY
Exploiting the Connection to Cartesian Coordinates
Multiplication in polar form is nice and neat—that is not the case for coordinate representation. Multiplication by a complex number results in a dilation and a rotation in the plane. The formulas to show the dilation and rotation are...
West Contra Costa Unified School District
Point-Slope Application Problems
Create a linear equation for a problem when the intercept information is not given. The two-day lesson introduces the class to the point-slope form, which can be used for problems when the initial conditions are not provided. Pupils...
West Contra Costa Unified School District
Writing Exponential Functions Based on Data
Give your class a concrete example of exponential growth and decay using this hands-on activity. These Algebra II lessons allow for the exploration of exponential growth and decay models, as well as the discovery of the patterns of...
Rice University
College Algebra
Is there more to college algebra than this? Even though the eBook is designed for a college algebra course, there are several topics that align to Algebra II or Pre-calculus courses. Topics begin with linear equation and inequalities,...
Rice University
Intermediate Algebra
Algebra concepts are all wrapped up in one nice bow. The resource combines all the concepts typically found in Algebra I and Algebra II courses in one eBook. The topics covered begin with solving linear equations and move to linear...