Mathematics Vision Project
Module 3: Features of Functions
Learn how to represent functions in multiple ways. Learners analyze functions as equations, graphs, and verbal descriptions. The analysis includes intercepts, behavior, domain, and range. The module of seven lessons makes up the third...
Mathematics Vision Project
Module 1: Functions and Their Inverses
Undo a function to create a new one. The inverse of a function does just that. An inquiry-based lesson examines the result of reversing the variables of a function, beginning with linear patterns and advancing to quadratic and...
EngageNY
Interpreting Quadratic Functions from Graphs and Tables
Seeing functions in nature is a beautiful part of mathematics by analyzing the motion of a dolphin over time. Then take a look at the value of a stock and maximize the profit of a new toy. Explore the application of quadratics by...
Illustrative Mathematics
Points on a Graph
Learners practice using their knowledge of how to interpret a function and use function notation. The activity includes two questions. Given an input of a function and its output, the first question asks learners to write the ordered...
Charleston School District
Review Unit 3: Functions
Time to show what you know about functions! The review concludes a series of nine lessons on the basics of functions. The problems included are modeled from the previous lessons. Pupils determine if a table represents a function,...
Curated OER
Graphs
In this graphs worksheet, students solve and complete 15 various types of problems. First, they determine the range of the function of the graph shown and write in interval notation. Then, students find the domain of the function in the...
Curated OER
Task: Range of Motion
If you have ever injured your shoulder, you know it takes a while to improve your arm's range of motion. In this real-world example, young mathematicians gain insight into the world of physical therapy while they analyze a case study...
Curated OER
Dog Days or Dog Years?
In need of some algebraic fun with real world implications?Learners use ordered pairs, a table of values and a scatter plot to evaluate the validity of several real world data sets. The class focuses on dog ages in human years, domain,...
Curated OER
Functions / Domain
Students identify and define what a function is and how to identify them and relations. They also use functional notation to compute the values of composite functions. Finally, students determine the domain and range of a given function.
Curated OER
Domain & Range of Functions
In this function instructional activity, students determine the domain and range of given functions. They identify terms in a sequence of integers, This two-page instructional activity contains seven multi-step problems.
Curated OER
Calculus 30: Domain and Range
For this domain and range worksheet, students find the domain and range of 23 equations. Students find the domain and range from a graph and determine a graph given the domain and range.
Curated OER
Algebra I: Linear Functions
Using rates from a rental car company, young mathematicians graph data, explore linear relationships, and discuss the role of slope and the y-intercept. This lesson allows for the discussion of independent and dependent variables, as...
Illustrative Mathematics
Invertible or Not?
Two for one—create an invertible and non-invertible function from the same data. The task presents a function table with missing outputs for the class to use to create two functions. One of the functions should have an inverse while the...
Illustrative Mathematics
Oakland Coliseum
Help algebra learners relate a real-life function that happens at the Oakland Coliseum every time the Raiders play. The resource states that the revenue of the Oakland Raiders home games is a function of the number of seats sold and the...
Curated OER
Finding Domain and Range
In this domain and range worksheet, students observe a graph and identify the domain and range of given functions. Afterwards, they solve functions to identify the range. Fifteen problems are provided on this one-page worksheet.
Curated OER
Transformations and Exponential Functions
Tenth graders study graphing exponential functions. For this transformations lesson, 10th graders apply inquiry to determine how changes to a parent function affect its graph. Students analyze transformed graphs and generate the function...
Curated OER
Characteristics of Exponential Functions
What can an upper grader do with an exponential function? They can solve and graph it, identify its important characteristic, and differentiate graphs based on shifts in graph bases that are greater or less than one. This 45 minute...
Curated OER
Domain of Functions (2)
In this function worksheet, students identify the domain of the given functions. Functions contain exponents and square roots. This one page worksheet contains three multi-step problems.
Houston Area Calculus Teachers
Polynomial Graphing
Your AP Calculus learners probably have their ID numbers memorized, but have they tried graphing them? Pique your pupils' interest by asking each to create a unique polynomial function based on their ID numbers, and then analyze the...
EngageNY
Extending the Domain of Sine and Cosine to All Real Numbers
Round and round we go! Pupils use reference angles to evaluate common sine and cosine values of angles greater than 360 degrees. Once they have mastered the reference angle, learners repeat the process with negative angles.
Curated OER
Graphing Functions
In this graphing functions worksheet, 11th graders solve and complete 10 different types of problems. First, they graph each function and list the asymptote, domain and range for each. Then, students sketch each graph. They also draw and...
Curated OER
Domain and Range
In this domain and range worksheet, students solve and complete 5 different sets of problems. First, they find the domain and range of each of the given functions. Then, students determine whether each of the functions is odd, even or...
Curated OER
Relations and Functions
In this relations and functions worksheet, 11th graders solve and complete 10 various types of multiple choice problems. First, they use the same relation between two variables as the given table to determine the value of one variable...
Curated OER
Exercise Set 1.5: Inverse Functions
In this inverse functions worksheet, students review inverse functions. They solve 66 questions. Problems cover a wide variety of types. Students graph functions and their inverses, they identify one-to-one functions and the domains and...
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