CK-12 Foundation
Definition of Inverse Functions
Investigate the definition of inverse functions graphically. Using the interactive, scholars create a graph of a function and view its resulting inverse. They then determine whether a group of functions have inverses that are also...
CK-12 Foundation
Existence: One-to-One Functions and Inverses
One-to-one means the answer is simple, right? Given four graphs, pupils use a vertical line to test each graph to find out if they are one-to-one. By using the resource, learners realize that not all one-to-one relations are functions....
CK-12 Foundation
Change of Base: River Logs
Using the answers to the challenge questions, class members work through simplifying a complex logarithmic expression that requires changing bases. Pupils drag values to fill in the steps to arrive at a numerical equivalent expression.
CK-12 Foundation
Solving Logarithmic Equations
Pupils follow a chain of reasoning in deconstructing a logarithmic equation step by step. Using their knowledge of logarithms, learners compare the solutions of logarithmic equations when the bases are changed.
CK-12 Foundation
Logarithmic Differentiation: Graphing the Derivative of a Logarithm
Log the values of the derivative of a logarithm. The interactive plots the derivative of the natural logarithm. Learners first determine the derivative of natural logarithm and the general logarithm. Using the formulas for the...
CK-12 Foundation
Recursive Formulas: Fibonacci Sequence
Explore the building blocks of the Fibonacci Sequence. Given the lengths of sides of squares, pupils deduce the pattern to determine the lengths of two more squares. Learners continue to work with recursive formulas to generate numerical...
CK-12 Foundation
Limit of a Sequence: Finding the Limit of a Sequence (Part 1)
Put a squeeze on a sequence. An interactive provides a graphical display of a sequence. Using the graph, learners determine the algebraic expression for the sequence. Pupils use the general definition of a limit of a sequence to find the...
CK-12 Foundation
Limit of a Sequence: Finding the Limit of a Sequence (Part 2)
What does it mean if young mathematicians cannot put the squeeze on a sequence? Learners investigate a divergent sequence and find the formula for the nth term. Using the definition of a limit of a sequence, pupils try to find the limit...
CK-12 Foundation
Limit of a Sequence: Finding the Limit of a Sequence (Part 3)
Limit the view of sequences on both sides of the axis. Learners explore an alternating sign sequence. Using a graphical display of the first 10 terms of the sequence, pupils determine the formula for the general term. they then use the...
CK-12 Foundation
Limit of a Sequence: Finding the Limit of a Sequence (Part 4)
Take a look at another alternating sequence. The resource provides a graphical display of a sequence that alternates between two values. Pupils use the display to determine whether the sequence has a limit. Given a theory of limit,...
CK-12 Foundation
Equations of Circles: Finding the Equation of a Circle
It's all about location and size. With the aid of the interactive, pupils explore the relationship between the location and size of a circle and its equation. The learners use that relationship to determine the equation of a circle given...
CK-12 Foundation
Circles Centered at the Origin: The Map of the Beta Solar System
Calculate galactic orbits in a far-out resource. Pupils drag a point on a circle to graph the orbit of a fictional planet. Using the equation, they find points through which the orbit passes. To finish the simulation, users determine the...
CK-12 Foundation
Circles Centered at the Origin: Dog
How many bones can a dog on a leash reach? Class members move a dog on the end of its leash and determine whether it can reach bones located at specific points. The learners see whether the bone lies on the circle or outside of the...
CK-12 Foundation
Circles Not Centered at the Origin: Room Rearranging
Where does a circular table fit best? Individuals move a circle representing a table into different quadrants of a room. Pupils determine which equation of the circle will place the table in the appropriate quadrant. A discussion...
CK-12 Foundation
Parametric Equations: Protecting the Village
Determine the location of the pillars in time. Given a table of values for two parametric equations, pupils complete the table to determine the location and time it takes to build the pillars. Learners plot the points representing...
Advocates for Youth
Who Am I and What Can I Do?
Knowing yourself is a great start to getting through high school! A series of activities introduce individuals to the rest of the group as they share their backgrounds, their interests, and their goals in life.
Advocates for Youth
What Are My Personal, Family and Community Values
What are your values? Where did you learn them? How are they reflected in your everyday life? Middle and high schoolers reflect on their personal and community values with a variety of group activities.
Advocates for Youth
How Well Do I Communicate with Others?
So many of life's problems could be resolved with proper communication. Teenagers work on replacing negative messages with positive messages, active listening techniques, and communicating assertively in a series of classroom activities.
Advocates for Youth
What Are My Relationships with Others Like?
Relationships are often the highest priority for teenagers, but they don't always have the maturity to navigate a healthy connection with peers or family members. A series of group activities prompt class members to interview their...
Advocates for Youth
What is Sexuality?
Set the record straight with a series of health-related lessons that discuss human sexuality. Over the course of 11 group and individual activities, learners discover biological, emotional, and social facts about sexuality.
Advocates for Youth
What Are My Goals?
Empower the teenagers in your class with the knowledge that their future is theirs to control! A set of nine lessons on setting academic, financial, and life goals encourage class members to think about where they'd like to be in ten...
Advocates for Youth
What Does Community Mean to Me?
Having a strong and supportive community is key for adolescent success. Teenagers explore the circles of their own communities, including the rights and responsibilities of being in their families, peer relationships, and their country,...
Advocates for Youth
How Can I Make Good Decisions?
Your entire life can change as a result of one decision—for better or for worse. Guide middle and high schoolers through the process of making decisions and weighing the consequences in the midst of peer pressure and other influences.
Advocates for Youth
What Are Stereotypes and Gender Roles?
Living up to what society expects of you is difficult enough before you add the complications of sexual and racial prejudice. Discuss the difficulties faced by people in your country, neighborhood, and classroom with a series of...