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Inverse Functions
Undo the functions. Learners refresh their knowledge of inverses of functions from Algebra II in the 19th section of a 23-part Precalculus unit. Pupils look at inverses in tables and graphs. They then add to their understanding of...
Virginia Department of Education
Composition of Functions
Analyze functions by decomposing complex functions and composing simple functions. Through a detailed lesson plan, pupils learn the vocabulary and notation related to the composition of functions. Practice includes both evaluating and...
Curated OER
Radical Transformations
Students transform the square root function graphically. In this transforming the square root function graphically lesson plan, students use their Ti-Nspire to change the a, b, and c values of th square root graph. Students...
Curated OER
Chapter 7 Review: Radical Notation
In this radical notation worksheet, students write expressions using rational exponent notation and evaluate expressions with radical notation. They find the inverse of a function and give the domain. This three-page worksheet contains...
Curated OER
Graphing Linear Equations - With Table
Students describe relations and graph linear functions. After studying a geometric shape and a verbal statement, students contrast the differences between the verbal statement and the picture. They determine functions and graph...
Curated OER
Inverse Trigonometry
In this math worksheet, 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
Simplifying Expressions
For this simplifying expressions worksheet, learners 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
Linear Equations
In this linear equations instructional activity, students solve 9 different linear equations by applying the point-slope formula in each. First, they determine the linear equation of each. Then, students use the slope and one point of...
Mt. San Antonio Collage
Quiz 1: Types of Functions
Sometimes the best things are already done for you! Here is a six-problem quiz that has a variety of problems ranging from solving quadratic equations to interpreting a function. The piece-de-resistance is the worked out answer key in...
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
Graphing Square Root and Other Radical Functions
In this worksheet, students graph the square root and other radical functions by examining the parent function and the translations and shifts that occur within the function family. The two page worksheet contains twelve problems.
Curated OER
Relations, Functions and Equations Worksheet with a Computer Component
In this relations worksheet students solve eighteen problems related to relations, functions, and equations. The first part of this worksheet is designer to be completed with a computer program.
Curated OER
Graph of the Tangent, cotangent, Secant, and Cosecant Functions
In this college level Pre-calculus worksheet, students examine the graphs of the Tangent, cotangent, secant, and cosecant functions. Students find the intercepts and any asymptotes. The seven page worksheet contains...
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
Reviewing Functions
In this function activity, students describe a function and write six different ways a function may be modeled. This two-page activity contains eight problems.
Curated OER
Exponential Functions f(x) = abx
Students define exponential functions and graph the equation. For this algebra lesson, students discuss exponential growth and decay as they graph their functions. They differentiate between the base of growth and decay.
Curated OER
Types of Functions
Students graph step functions (for example, the greatest integer function), and then form the inverse function of given function. They also graph piece-wise defined functions and explain step-by-step the process. Finally, students define...
Curated OER
Vertical and Horizontal Translations
Students analyze function graphs. In this Algebra II/Pre-calculus lesson, students investigate the graph of a function as they determine to which family of functions it belongs, determine the parent function and describe the...
Curated OER
Exponential Equations and Functions
In this college level Pre-Calculus worksheet, students solve problems involving exponential functions. Students determine the domain, range, y-intercept and asymptotes of exponential functions. The three page worksheet contains...
Curated OER
A.P. Calculus Prerequisite No Calculator Multiple-Choice and Free-Response Exam
In this A.P. Calculus pre-requisites worksheet, students solve ten multiple-choice and ten free-response questions. Many of these questions cover trigonometric functions.
Virginia Department of Education
Logarithmic Modeling
Explore logarithms and logarithmic regression. Young mathematicians first learn about inverse functions and about the logarithm function family. They take their newfound knowledge to use logarithmic functions to model situations and...
It's About Time
Volcanic Hazards: Airborne Debris
Pupils interpret maps and graph data related to volcanic ash. Then they analyze the importance of wind speed and the dangers of the ash to both life, air temperature, and technology.
Curated OER
Mapping My Pathway
Eighth graders create career portfolios, speak with the school counselor, and develop and educational plan. Individually, 8th graders discuss career options and how an educational plan can assist them in future goals. They explore...
Pennsylvania Department of Education
Alike and Different
Students compare and contrast objects and are introduced to a Venn Diagram. In this alike and different lesson, students make observations regarding properties of objects. Students classify object and build ideas about variables....