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Trig Cheat Sheet
Your pre-calculus learners will make use of this wonderful cheat sheet that summarizes all things trigonometric. Definitions based on both the unit circle and the right triangle are included, as well as many convenient trigonometric...
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Quadratic Equations and Functions
Students factor and solve quadratic equations. In this algebra lesson, students identify the domain and range of the quadratic function. They graph the parabola and identify the vertex.
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...
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Math: Real Time and Live
Get an interdisciplinary edge. Scholars study air contamination and slope. They record the time it takes for air fresheners to reach them at variable distances. They document their times, classify them by distance, and draw a scatter...
King County
Reproductive System
It's every health and science teacher's favorite subject to cover: the reproductive system. This comprehensive lesson introduces adolescents to the reproductive anatomy of men and women with the help of a series of diagrams,...
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Composition of Functions and the Chain Rule
In this function instructional activity, 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...
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Relations and Functions
In this relations and functions worksheet, students answer 5 multiple choice questions that involve finding domain and range and function notation.
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Function and Graphs
In this college level Pre-Calculus worksheet, students determine if a given relation is a function, graph functions and observe their behavior, and determine if a function is even, odd, both, or neither. The four page...
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Graphs of Functions
In this graphs of functions worksheet, 9th graders solve and complete 3 different types of problems. First, they graph function f given by the functions shown on the grid. Then, students find the inverse of a function including its...
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Functions of Two Variables
In this function of two variables worksheet, students explore the relationship between the derivatives of a function and the shape of the graph. They determine the maximum and minimum value using optimization. Students find the...
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Similarities and Differences in Properties of Different Families of Functions - An Investigation
Exploring families of functions allows high schoolers compare and contrast properties of functions. Students discuss properties that include symmetry, max and min points, asymptotes, derivatives, etc.
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Fifty-Eight Inverse and On-To-One Questions
For this inverse function worksheet, students sketch inverses, find inverse functions, confirm pairs of functions are inverses, determine functions are one-to-one, and complete tables for one-to-one functions in fifty-eight questions.
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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...
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Power Function Inverses
Pupils graph polynomial functions and analyze the graphs. They identify the inverse of the functions and find the domain and range. Learners will then label the functions as one to one and use the horizontal and vertical line test to...
Virginia Department of Education
Independent and Dependent Variables
Investigate the relationship between independent and dependent variables. Individuals begin by identifying independent and dependent variables from different problem situations. Then, using specific guidelines, they create posters...
Illustrative Mathematics
Exponentials and Logarithms II
Learners are given a logarithmic function and its inverse exponential function. The task, which is to graph both compositions of the two functions, uses the inverse nature of exponents and logarithms to generalize about the properties of...
EngageNY
Discrete Random Variables
You don't need to be discreet about using the resource on discrete variables. In the fifth installment of a 21-part module, scholars explore random variables and learn to distinguish between discrete and continuous random variables. They...
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Relations
In this relations worksheet, 10th graders solve and complete 7 different problems that include defining various relations of number sets. First, they state the domain and range of each relation. Then, students express the relations shown...
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Relations
In this relations learning exercise, 10th graders solve and complete 10 different problems that include defining various forms of relations. First, they state the domain and range of each relation. Then, students express the relation...
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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...
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Function Composition
Students solve two functions at once. For this algebra lesson, students add, subtract, multiply and divide composition functions. They use the correct notation and substitution to get their answer.
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Algebra Nomograph
Investigation of a nomograph teaches young scholars to determine the rule of a function by examining the input and output values. Students use a nomograph on their Ti-Nspire to determine the function rule. Young scholars make...
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Ordered Pairs on a Coordinate Plane
Seventh graders identify the quadrants and axis of a coordinate plane. In this algebra instructional activity, 7th graders discover the correct way to graph using the coordinate plane. They discuss the relationship between x and y...
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Discussion Sheet 6: Doman & Range
In this domain and range instructional activity, students determine the domain, range, x and y-intercepts, vertical, horizontal and asymptotes for a function. They write a formula for a function for given properties. Students read...