Mt. San Antonio Collage
Graphs of Rational Functions
Sometimes graphing rational functions can feel a little "irrational." Starting with the basics, learners work their way through the pieces of these graphs and finish off with an application question.
Curated OER
Hyperbolas
Learners engage in a instructional activity that covers the concepts related to the graphing of hyperbolas looking at topics like foci, center, vertices, and asymptotes. They find multiple different points in the coordinate plain and...
Curated OER
Worksheet 4: Limits
In this limits worksheet, students evaluate limits and graph given expressions. They classify graphs as removable discontinuities, jump discontinuities, or asymptotes. this two-page worksheet contains seven multi-step problems.
Curated OER
Inflection Points
In this inflection points worksheet, 11th graders solve and complete 5 different problems. First, they find intervals of x for which each of the following curves is increasing, decreasing, concave upward, concave downward. Then, students...
Curated OER
Properties of Curves
In this Calculus worksheet, students use a graphing calculator to boost their understanding of functions and their graphs as they examine the properties of curves. The forty-two page worksheet contains one hundred problems. Answers are...
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Reciprocals of Quadratic Functions
Eleventh graders investigate inverse functions. In this Algebra II lesson, 11th graders use their prior knowledge of linear, exponential,and quadratic functions to create a graph of an equation they have never seen before.
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Rational Functions and Conics
In this math instructional activity, students practice the calculation of rational functions and conics. This instructional activity has 6 problems for the students to solve.
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Worksheet 5 Math 126-Hyperbolas
In this Pre-calculus worksheet, students solve problems involving hyperbolas. The two page worksheet contains explanation and four multi-part questions. Answers are not included.
Virginia Department of Education
Exponential Modeling
Investigate exponential growth and decay. A set of six activities has pupils collecting and researching data in a variety of situations involving exponential relationships. They model these situations with exponential functions and solve...
Curated OER
Similarities and Differences in Properties of Different Families of Functions - An Investigation
Exploring families of functions allows students compare and contrast properties of functions. Students discuss properties that include symmetry, max and min points, asymptotes, derivatives, etc.
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Graphing Rational Functions
In this algebra instructional activity, 11th graders graph rational functions. They identify the asymptote, discontinuity, holes and vertex. There are 14 questions with an answer key.
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Graphing and Properties of Hyperbolas
In this graphing and properties activity, students identify the vertices, foci of each hyperbola. They graph hyperbolas. Students identify asymptotes, the length of the transverse axis and the length of the conjugate axis. This four-page...
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Graphs of Functions
In this algebra worksheet, 11th graders graph functions and identify properties of each functions. They find the domain and range, along with the asymptote. There are 4 questions on this worksheet.
Curated OER
Graphs of Functions
In this algebra worksheet, 11th graders calculate the domain, range, asymptote and intercepts of a quadratic function. They sketch the graph and identify the transformation. There are 4 questions in this worksheet.
Mt. San Antonio Collage
Test 1: Graphing Functions
Graph the night away with all the different types of functions provided in the learning exercise. Linear, quadratic, and rational all ask for graphs, domain and range and other key factors about the functions.
Illustrative Mathematics
Graphing Rational Functions
The slider feature on Desmos excellently shows how graphs change based on different variable values. Learners look at two similar rational functions and compare and discuss what happens when the numbers go from positive to zero to...
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...
CK-12 Foundation
Infinite Limit Type: Evaluating Limits of Rational Functions
Rational functions become less mysterious when you know about limits. Individuals use an interactive to move a rational function on a coordinate plane and to investigate function values for certain x-values. They see how the limit...
K20 LEARN
Family Ties: Exploring Families OF Functions
They say it runs in the family. Small groups use a card sorting activity to group graphs of functions into families. After grouping by families, the class develops conclusions for parent functions and create a graphic organizer.
Rice University
Calculus Volume 1
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...
EngageNY
Curves from Geometry
Escape to investigate hyperbolas. Pupils take a look at what happens to the elliptical orbital path of a satellite that exceeds escape velocity as the opener to the eighth lesson in a unit of 23. Scholars analyze basic hyperbolas and how...
Curated OER
Parabolas
In this algebra worksheet, students solve parabolas using the standard and vertex forms. They find the vertex and asymptote and graph the parabola. There are 64 problems.
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Exploring Exponential Models
Explore the difference between exponential growth and decay with this worksheet. Use tables, graphs, and algebraic methods to gain insight. The notion of an asymptote is also introduced.
Curated OER
Hyperbola
In this Algebra II worksheet, students determine the vertices and foci of a hyperbola, write the equations in standard form, find the asymptotes, and sketch the graphs of hyperbolas. The one page worksheet contains thirty-one problems. ...
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