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...
Curated OER
Graphing at all Levels: It's a Beautiful Thing!
Mixing math and art is done in this lesson by applying graphing knowledge to create a unique piece of art. This lesson varies acording to the graphing knowledge of the artist. First, learners identify and review various types of graphing...
National Research Center for Career and Technical Education
Hospitality and Tourism 1: Safety and Sanitation
Math and science come alive in this career-related lesson on sanitation. Along the way, learners explore bacterial growth rates using exponential notation and graphs. A link to a very brief, but vivid video shows just how quickly these...
Curated OER
Leap Into Exponential Functions
Students use properties of exponents to solve equations. In this algebra instructional activity, students add, subtract, multiply and divide exponential functions. They graph and differentiate between exponential growth and decay.
Curated OER
Exponential Decay Functions
In this exponential functions activity, students solve and complete 13 various types of problems. First, they state whether the table represents an exponential function or not and why. Then, students graph each function and identify its...
Curated OER
Strong Arm Iteration
Young scholars solve exponential functions and inequalities. In this algebra lesson, students find the roots of equations and use it to graph and evaluate exponential functions. They simplify exponents using the law of exponents.
Curated OER
Linear and Exponential Growth
Students explore the concept of linear and exponential growth. In this linear and exponential growth lesson, students collect data about China's population. Students model the data to determine if it is linear or exponential.
Curated OER
Properties of Logarithmic Functions
Students solve exponential functions. In this algebra lesson, students identify the properties of logarithmic and exponential functions. They graph their functions and solve using change of base formula.
Curated OER
How Long Can You Go?
Eighth graders examine the usefulness of a line of best fit by collecting and graphing data, using a graphing calculator to determine the line of best fit, and making a variety of predictions. They watch a video, then design a...
Curated OER
Lab Sheet: Exponential Growth and Decay
In this exponential worksheet, students gather information from an experiment and plot the data in a scatter plot. Using given formulas, they plot an equation of a line and then compare the graphs. Students observe exponential growth...
Mathematics Vision Project
Module 7: Connecting Algebra and Geometry
The coordinate plane links key geometry and algebra concepts in this approachable but rigorous unit. The class starts by developing the distance formula from the Pythagorean Theorem, then moves to applications of slope. Activities...
Curated OER
Composite Functions
Students create a poster to explain composite functions. For this composite function worksheet, students explore linear equations and functions. They complete a worksheet and use manipulatives to complete problems.
Intel
Choreographing Math
Leaners investigate families of linear functions through dance. They choreograph dance moves to model nine unique linear functions of their choosing. Using their dance moves, teams create a video presentation complete with music and...
Curated OER
Functions and the Vertical Line Test
Students explore the concept of functions. In this function lesson, students determine if the graph is a function by using the vertical line test. Students use an applet to explore the vertical line test on a variety of graphs.
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.
101 Questions
Joulies
Does your coffee get too cold too fast? Joulies just might be your answer! Learners use experimental data to make a conclusion about how effective Joulies are at keeping coffee at the ideal temperature. A video shows the graph of the...
Shodor Education Foundation
Graphing and the Coordinate Plane
Ready to introduce your class to the coordinate plane? This website includes a detailed lesson plan that includes two interactive games to help learners practice graphing ordered pairs. The scripted discussion is a little cheesy and a...
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
Discovering Growth Patterns
Students explain the differences between linear (arithmetic) and exponential (geometric) growth. They use worksheets imbedded in this instructional activity to help them make predicitions and graph data points.
Curated OER
Logarithmic Functions and Their Graphs
In this algebra worksheet, students evaluate, graph and solve logarithmic functions. They rewrite log functions and identify different log properties.
Curated OER
The King's Chessboard
Middle schoolers speculate on the better rate of pay: a dollar a day for 10 days, or a penny the first day, two pennies the second, doubling each day for 10 days. Start by listening to the story The King's Chessboard, by David Birch....
Curated OER
Graphing and the Coordinate Plane
Students gain practice reading coordinates and plotting points by participating in the Coordinates! Game. They demonstrate and test their skills with graph paper and the Maze Game.
Agile Mind
Rabbit populations
In this real-world problem about the rapid growth of rabbit populations, students must analyze two different scenarios and create mathematical models to represent them. They use their exponential models to answer questions about the...
Education Institute
Four Mathematics Lessons for Grade 9
These four lesson plans build algebra skills for working with numbers in exponential form and for examining triangles. Be aware that in the text, scientific notation is referred to as index notation and the laws of exponents as the laws...