Curated OER
Matchstick Math: Using Manipulatives to Model Linear, Quadratic, and Exponential Functions
Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and...
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...
Mathematics Assessment Project
Generalizing Patterns: Table Tiles
As part of a study of geometric patterns, scholars complete an assessment task determining the number of tiles needed to cover a tabletop. They then evaluate provided sample responses to see different ways to solve the same...
EngageNY
Structure in Graphs of Polynomial Functions
Don't allow those polynomial functions to misbehave! Understand the end behavior of a polynomial function based on the degree and leading coefficient. Learners examine the patterns of even and odd degree polynomials and apply them to...
EngageNY
Graphing Cubic, Square Root, and Cube Root Functions
Is there a relationship between powers and roots? Here is a lesson that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They repeat the process...
Virginia Department of Education
Rational Functions: Intercepts, Asymptotes, and Discontinuity
Discover different patterns by making connections between a rational function and its graph. An engaging lesson asks scholars to explore the behavior of different rational functions. Groups discover a connection between the function...
EngageNY
Graphs of Exponential Functions
What does an exponential pattern look like in real life? After viewing a video of the population growth of bacteria, learners use the real-life scenario to collect data and graph the result. Their conclusion should be a new type of...
EngageNY
Integer Sequences—Should You Believe in Patterns?
Help your class discover possible patterns in a sequence of numbers and then write an equation with a activity that covers sequence notation and function notation. Graphs are used to represent the number patterns.
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
Graphing Quadratic Functions from Factored Form
How do you graph a quadratic function efficiently? Explore graphing quadratic functions by writing in intercept form with a lesson that makes a strong connection to the symmetry of the graph and its key features before individuals write...
EngageNY
Comparing Linear and Exponential Models Again
Making connections between a function, table, graph, and context is an essential skill in mathematics. Focused on comparing linear and exponential relationships in all these aspects, this resource equips pupils to recognize and interpret...
EngageNY
Linear and Exponential Models—Comparing Growth Rates
Does a linear or exponential model fit the data better? Guide your class through an exploration to answer this question. Pupils create an exponential and linear model for a data set and draw conclusions, based on predictions and the...
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...
Willow Tree
Arithmetic and Geometric Sequences
Old mathematicians never die; they just lose some of their functions. Studying sequences gives scholars an opportunity to use a new notation. Learners write functions to model arithmetic and geometric sequences and use them to find new...
Kenan Fellows
How Does an Unhealthy Diet Influence our Health and Well-Being?
You are what you eat, or so they say! After surveying family and friends on a week of eating habits, learners analyze the data for patterns. They compare different variables such as fats and cost, fats and calories, or fats and LDLs.
Willow Tree
Direct and Inverse Variations
Enhance pupil understanding of proportions and variable relationships by studying direct and inverse variation. Use the idea of a proportional relationship to teach direct variation. Then use a similar pattern to help individuals...
EngageNY
Arithmetic and Geometric Sequences
Arithmetic and geometric sequences are linear and geometric patterns. Help pupils understand the relationship and see the connection with an activity that asks them to write the rules and classify the patterns correctly. A sorting...
EngageNY
The Definition of Sine, Cosine, and Tangent
Introduce your classes to a new world of mathematics. Pupils learn to call trigonometric ratios by their given names: sine, cosine, and tangent. They find ratios and use known ratios to discover missing sides of similar...
EngageNY
End Behavior of Rational Functions
Connect end behavior to previous learning. Pupils connect finding the end behavior of rational functions to finding end behavior of polynomial functions. The 13th segment in a 23-part unit starts with finding the end behavior or power...
Curated OER
Making Money and Spreading the Flu!
Paper folding, flu spreading in a school, bacteria growth, and continuously compounded interest all provide excellent models to study exponential functions. This is a comprehensive resource that looks at many different aspects of...
Curated OER
Patterns, Functions, and Algebra: Wired for Space
Learners assess how patterns, functions and algebra can assist NASA engineers design new ways of propelling spacecrafts. They explore how electricity and magnetism are replacing the fuel-consuming rocket propulsion. Electromagnetism is...
Curated OER
Functions and the Vertical Line Test
Students examine functions and function notation. They use computer activities to discover how to graph functions, and conduct a vertical line test. Students describe spatial relationships using coordinate geometry.
Curated OER
Pattern Power
Young elementary students will discover there are patterns all around them in their daily lives. In groups, they sort pattern blocks by size and color. Using the internet, they create their own type of patterns and share them with the...
Ahisma Summer Institute
The Power of One - Math in a Different Angle
In this 2-day lesson plan focused on exponents, middle schoolers will cross the curriculum by engaging in science, history and language arts activities. Exponential growth will be explored using grains of rice on a chess board....