University of Northern Texas
Continuity
Continue a study of calculus by using a slideshow to introduce the concept of continuity. After defining the term, the presentation provides examples of functions that are discontinuous and introduces different types of...
EngageNY
Formal Definition of a Function
Formalize the notion of a function. Scholars continue their exploration of functions in the second lesson plan of the module. They consider functions as input-output machines and develop function rules for selected functions.
Curated OER
Rational Functions
In this college level Pre-Calculus worksheet students evaluate rational functions, identify the domain, vertical asymptotes, and x- and y-intercepts. The three page worksheet contains forty problems. Answers are provided.
Curated OER
Worksheet 6: Functions
In this math worksheet, learners answer 7 questions having to do with continuous functions, the Squeeze Theorem, and the Product Rule for differentiation.
Key Curriculum Press
Applications of Exponential Functions
Exponential functions are the name of the game. Young mathematicians can work through each of the eight worksheets by evaluating functions, applying logarithms, completing logarithmic functions, and building inverse functions. This would...
College Board
Differentiability of Piecewise Defined Functions
Differentiable or not, that is the question. An informational website gives two theorems on the differentiability of piecewise functions at their endpoints. It goes on to apply the theorems to present two solution methods to a past AP®...
CK-12 Foundation
Graphs of Functions Based on Rules: Plotting Profits
Profit from this interactive on graphing and interpreting functions. An interactive allows learners to plot a square root function representing a company's profits. They answer some challenge questions that require interpreting this...
CK-12 Foundation
Graphs in the Coordinate Plane: Functions on a Cartesian Plane
Connect the dots to graph a linear function. Young mathematicians use an interactive to first plot provided points on a coordinate plane. They connect these points with a line and then answer questions about the slope and y-intercept of...
Curated OER
Worksheet 9 - Functions
In this function worksheet, students explain continuous and noncontinuous function and graph derivatives. This two-page worksheet contains seven multi-step problems.
Curated OER
The Algebra of Functions
Eighth and ninth graders add, subtract, multiply and divide functions as directed. Each problem is written in function notation, and the operation is shown in the same way. For example, students may be directed to find (f+g)(x). They are...
Curated OER
How Mutations Lead to Changes in Cell Structure and Function
Students investigate how mutations lead to changes in cell structure and function. They construct an oligonucleotide, identify a protein sequence, design a step-by-step mechanism of how they think cells repair damaged DNA, and prepare...
Mathematics Vision Project
Module 4: Rational Functions
Time to study the most sensible function — rational functions! The seven-lesson unit develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, and...
Shmoop
Functions Worksheet 6
Instead of the typical function application problems, learners think a little deeper through these ten problems. Multiple types of functions are represented and the questions add a variety of thinking to practice their skills.
Mathematics Vision Project
Quadratic Functions
Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan. Learners develop recursive and closed methods for representing real-life situations, then apply these...
Curated OER
IUPAC Rules for Naming Compounds with Functional Groups
In this naming compounds with functional groups worksheet, students read about using the IUPAC rules for naming these compounds and they draw structures for 3 -carbon, 2-carbon and 4-carbon molecules and give the names for each.
Curated OER
Functions Operations
In this algebra activity, students identify and solve functions by rewriting and plugging in numbers into an equation. They multiply, subtract, add and divide functions. There are 30 questions with an answer key.
Curated OER
Body Parts, Systems & Functions
For this body parts worksheet, students match words to definitions, categorize organs into systems, name functions of organs, and more. Students complete 5 activities.
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...
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...
Curated OER
Acids, Bases and Indicators
Students investigate the pH of various solutions with indicators. In this acids, bases and indicators lesson plan, students use a variety of indicators to test solutions for their pH. Students determine which indicators are the best to...
Curated OER
Functions & Algebra
Young scholars examine linear equations. For this functions and algebra lesson, students write equations in the slope-intercept form. They enter data in a graphing calculator, examine tables, and write linear equations to match the data.
Curated OER
More Acid-Base Indicators
Learners explore acids, bases, and indicators. They use turmeric solution, phenolphthalein, and goldenrod paper to determine the acidity and basicity of a variety of common household substances. A worksheet is included to record test...
Curated OER
Functions
In this functions learning exercise, students solve and complete 11 different types of problems. First, they find the coordinates of all points on the graph of each equation where the tangents to the graph are horizontal. Then, students...
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.