Illustrative Mathematics
Building an Explicit Quadratic Function by Composition
Use equivalent expressions to reveal information about their graphs. Pupils verify that two quadratic functions are equivalent. By comparing the two expressions, they determine the vertex, the zeros, the y-intercept, and the direction it...
Curated OER
Composition Of Functions
Students investigate the concept of a function and practice using the notation and compute the values of composite functions. They use the examples provided in the lesson for guided practice with scaffolding provided by the teacher.
Curated OER
Worksheet 12: Functions
In this math worksheet, students are given 7 problems in which they differentiate, figure rate of change, determine value, and prove formulas.
Illustrative Mathematics
Temperature Conversions
Complete two conversions at once using compositions. Pupils use the conversion formulas for temperatures to calculate a formula to convert directly between Kelvin and Fahrenheit. Classmates determine the meanings of composition notation...
Concord Consortium
Gravity
Weight is a function of the distance from sea level. Learners explore the many implications of this fact in an inquiry-based task. Given the function, pupils answer questions before manipulating the function to rewrite the distance from...
Curated OER
Function Composition
Students solve two functions at once. In this algebra lesson, students add, subtract, multiply and divide composition functions. They use the correct notation and substitution to get their answer.
Curated OER
Operations with Functions Including Composition
Students explain functions. In this function lesson, students solve functions. Groups of students develop strategies to perform operations with functions. They write test questions using functions which include all operations...
Curated OER
Body Composition Circuit
Students work in groups to increase nutritional awareness. In this health and fitness activity, students travel to various stations and complete the task on a body composition card.
Curated OER
Present Continuous
In this present continuous worksheet, students write numbers next to sentences and determine if a verb can be used in the present continuous tense. Students complete 60 problems total.
Curated OER
Operations on Functions
In this operations and functions worksheet, students add, subtract, multiply, and divide functions. This one-page worksheet contains 18 multi-step problems.
University of North Texas
Math Exam 1 Review
Perfect as a review guide, this instructional activity provides a range of questions focusing on functions. Topics include composing functions, transformations, domains, and polynomials. Also included are corresponding worksheets...
Curated OER
Worksheet 7.4 Function Composition
In this function composition worksheet, students find the composition of functions and state the domain. They graph relations and state the inverse. This two-page worksheet contains twelve multi-step problems.
Curated OER
Limits of Composition Functions
In this limits worksheet, students find the limits of 9 composition functions. Students evaluate limits for each function at a specific value or as it approaches any value.
Curated OER
Related Functions
In this function worksheet, students discuss how a function would change if it shifted on a graph. They create ten new, related functions. Students identify odd, even and symmetric functions. This two-page worksheet contains examples,...
Curated OER
Composition of Functions and the Chain Rule
In this function worksheet, students determine the natural domain and range for functions and formulas. They identify the composition of two functions and complete the derivation of the quotient rule. This three-page worksheet contains...
Curated OER
Your Father
Your learners will explore the idea that not all functions have real numbers as domain and range values as seen in this real-life context. Secondly, the characteristics required for a function to have an inverse are explored including...
Curated OER
Exploring Transformations
Learners explore what happens when geometric figures are transformed on the coordinate plane. They work in pairs, moving geometric shapes in the plane, and formalize their rules as functions.
Illustrative Mathematics
Building an Explicit Quadratic Function by Composition
Use an activity to illustrate the different forms of a quadratic function. Here, the task asks learners to use composition of given functions to build an explicit function. The process emphasizes the impact of the order of composition...
Curated OER
The Function of Music
Explore concepts of audience, purpose and symbols in this lesson from Media Smarts that asks students to consider all the functions of music. Through a series of discussions and activities, your class will brainstorm possible functions...
EngageNY
End-of-Module 3 Assessment Task
Let's see what the class learned! The last installment of the 23-part Pre-calculus module consists of nine assessment questions designed to measure a specific portion of a standard in the unit. Learners demonstrate their understanding of...
College Board
2015 AP® English Language and Composition Free-Response Questions
Many schools have honor codes, but scholars do not always choose to follow them. As part of a series of free-response questions from the AP® English Language and Composition Exam, learners discuss the benefits or disadvantages of honor...
Curated OER
Composite Functions
Young scholars create a poster to explain composite functions. In this composite function worksheet, students explore linear equations and functions. They complete a worksheet and use manipulatives to complete problems.
Curated OER
Complex Analysis: Complex Function
In this complex function worksheet students identify the derivative of given functions and explore the rules of differentiation. This two-page worksheet contains explanations and examples, followed by ten problems.
Curated OER
The Functional Notation Problem
In this composite functions instructional activity, students solve 1 composite functions problem by finding f(2x) in terms of f(x). Students use a rational function when finding f(2x).