Illustrative Mathematics
Exponentials and Logarithms II
Learners are given a logarithmic function and its inverse exponential function. The task, which is to graph both compositions of the two functions, uses the inverse nature of exponents and logarithms to generalize about the properties of...
West Contra Costa Unified School District
Introduction to Inverse Functions
Ready to share the beauty of the inverse function with your classes? This algebra II lesson guides the discovery of an inverse function through a numerical, graphical, and an algebraic approach. Connections are made between the three,...
Mt. San Antonio Collage
Exponential and Logarithmic Functions
High schoolers grow their skills exponentially after completing this thorough worksheet. Going from simple to difficult, it hits all the major skills regarding exponential and logarithmic functions including simplifying, solving,...
Virginia Department of Education
Square Patios
Build a patio from toothpicks and marshmallows to analyze functions! Learners look for patterns in the data as they create different size patios. As they discover patterns, they make connections between the different representations of...
Curated OER
Inverse Trigonometry
In this math instructional activity, students graph each function while focusing upon finding the domain and range of each one. They also find the exact values using sine, cosine, and tangent.
Curated OER
Linear Functions and Piecewise Linear Functions
An activity that could function as a review or as a quiz, this learning exercise prompts students to find two different linear functions that satisfy the given equation. Students sketch the graph of two linear equations. They identify...
Curated OER
Simplifying Expressions
In this simplifying expressions worksheet, students solve and complete 41 various types of problems. First, they simplify each expression and write using exponents. Then, students graph each function and state the domain and range. They...
Curated OER
Exponential Functions
With this two-page resource, learners evaluate and graph exponential functions. There are 48 questions using logs and exponents as the parent function.
Virginia Department of Education
Exponential Modeling
Investigate exponential growth and decay. A set of six activities has pupils collecting and researching data in a variety of situations involving exponential relationships. They model these situations with exponential functions and solve...
Teach Engineering
Coordinates and the Cartesian Plane
The plot thickens to get a functional understanding. After a short review of plotting points on the coordinate plane, class members learn the difference between functions and relations in the second lesson in a series of nine. They show...
Virginia Department of Education
Linear Modeling
An inquiry-based algebra lesson plan 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...
Curated OER
Math: Real Time and Live
Get an interdisciplinary edge. Scholars study air contamination and slope. They record the time it takes for air fresheners to reach them at variable distances. They document their times, classify them by distance, and draw a scatter...
Radford University
Sleep and Teen Obesity: Is there a Correlation?
Does the number of calories you eat affect the total time you sleep? Young mathematicians tackle this question by collecting their own data and making comparisons between others in the class through building scatter plots and regression...
Mt. San Antonio Collage
Quiz 2: Types of Functions
Here is a resource that provides the structure of an assessment with the convenience of a full answer key. The focus is on rational, exponential, and logarithm functions with a few questions on solving polynomials.
Curated OER
Trig Cheat Sheet
Your pre-calculus learners will make use of this wonderful cheat sheet that summarizes all things trigonometric. Definitions based on both the unit circle and the right triangle are included, as well as many convenient trigonometric...
Curated OER
Maximize It!
Students design a rectangular box without a lid that has the largest possible volume using the supplied sheet of centimeter graph paper. They work in groups to construct different size boxes to determine the largest possible volume and...
Curated OER
Reviewing Functions
In this function worksheet, students describe a function and write six different ways a function may be modeled. This two-page worksheet contains eight problems.
Curated OER
Exploring Function Graphs
Tenth graders investigate three different sets of data that relate temperature to another variable in the physical world. These illustrate linear, inverse and exponential relationships.
Curated OER
What is Log?
Young mathematicians differentiate between logs and natural logs in this algebra lesson. They solve functions and logarithmic functions. Learners also graph and rewrite the exponential and log functions.
Curated OER
Inverse Trigonometric Functions (Review)
Learners discuss the importance of inverse functions and derivatives. In this calculus lesson, students analyze inverse trig functions by solving for missing angles. They graph the functions and discuss integration by parts.
Curated OER
Woody Sine
Students explore the concept of sine. In this sine lesson, students create a sine graph from tooth picks. Students create a unit circle with tooth pick length radius. Students then take the tooth picks from the unit circle and put them...
Willow Tree
Functions
What makes a function a function? Learn the criteria for a relation defined as a function both numerically and graphically. Once young mathematicians define a function, they use function notation to evaluate it.
02 x 02 Worksheets
Inverse Functions
Young mathematicians look for patterns in inverse functions as they relate to the original functions. The comprehensive instructional activity emphasizes vocabulary throughout as well as algebraic and graphical characteristics of the...
Inside Mathematics
Archery
Put the better archer in a box. The performance task has pupils compare the performance of two archers using box-and-whisker plots. The resource includes sample responses that are useful in comparing individuals' work to others.