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Functions
In this functions worksheet, 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 write...
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Power Functions: A Question of Magnitude
In this power functions activity, students read about determining the brightness of stars using a magnitude scale. Students solve 4 problems including finding the magnitude differences of stars and determining equivalent magnitudes.
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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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Exploring Derivatives Using Lists
Learners explore lists and determine the derivative for that list. They use regressions to discover equations.
Flipped Math
Calculus AB/BC - Derivatives of cos(x), sin(x), e^x, and ln(x)
The shortcuts are not just for polynomial functions. Pupils learn the derivatives of the two basic trigonometric functions, cosine and sine. The video provides the derivatives for exponential and logarithmic functions. Learners work...
Flipped Math
Calculus AB/BC - Derivatives of tan(x), cot(x), sec(x), and csc(x)
Continue to differentiate the rest of the trigonometric functions. Pupils see the derivatives of the other four trigonometric functions and begin to memorize the rules. Learners see examples that show that the calculus portion of a...
Mt. San Antonio Collage
Quadratic Equations and Their Applications
Show high schoolers there is more to quadratic functions than just formulas and parabolas. Connect the math to realistic application problems with a resource that has learners consider such situations as a ball hit in the air, the...
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Alice in Fractalland
Take your class on a field trip to Fractalland where they'll learn all about number and shape patterns. Based on Disney's movie Alice in Wonderland, this resource takes young mathematicians on an adventure as they explore patterns in...
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Activity 11: Family of Functions
Students investigate linear, quadratic, and absolute value functions. In this Algebra II lesson plan, students observe and describe family traits that exist among functions as they use technology to graph several functions on the...
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Graphs of Functions
In this function worksheet, students sketch graphs of functions, write functions as a composition of two or three functions, and differentiate functions. This three-page worksheet contains approximately 33 problems.
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Topic 2.1 - Relations and Functions
In this function learning exercise, students state the domain and range of 2 functions. They then determine whether 7 relations are functions or not. Finally, students solve 6 problems in which they find the value of a specific function.
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Challenge Discussion Sheet 1: Function
In this function discussion sheet, students determine the domain and range of each function and sketch the graph of each. They determine limits of given functions. This one-page worksheet contains thirteen problems.
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Challenge Sheet 3: Average Value of a Function
In this average value worksheet, students determine the average value of functions, sketch graphs of continuous intervals, evaluate integrals, find the average value of a function and convert limits to a definite integral. This one-page...
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Functions and Slopes
In this function worksheet, students find the slope of a line tangent to a given graph, they derive formulas for the area and perimeter of a given right triangle, they graph functions, and compute the derivative of functions. This...
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Differentiate Functions
In this function worksheet, students differentiate functions containing trigonometric ratios. This one-page worksheet contains three problems.
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Functions
For this functions worksheet, students examine 16 problems to determine if the relation is a function. Students then find the values of 6 functions given values.
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Function Families
In this function families worksheet, students graph 6 families of absolute value equations on a graphing calculator and transfer a sketch to graph paper. Students then answer 8 questions to identify the vertex.
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Composition of Functions
In this composition of functions worksheet, 11th graders solve and complete 11 different problems. First, they find the value of x in each of the given functions. Then, students determine the value of both compositions in each function.
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Discussion Sheet 3: Function
For this function worksheet, students compute functions, classify critical points and determine the absolute extrema for an indicated region. This one-page worksheet contains approximately nine multi-step problems.
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Discussion Sheet 1: Domain & Range of a Function
In this domain and range worksheet, students solve inequalities, determine the domain and range for a function, identify the limits, and sketch graphs of a function. This two-page worksheet contains nine multi-step problems.
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Worksheet 2: Evaluating Functions
In this function worksheet, students evaluate sums, estimate the area of the region between graphs, estimate the volume of a hemisphere, and use subintervals and the limit definition integrals to evaluate functions. This two page...
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Domain & Range of Functions
In this function worksheet, students determine the domain and range of given functions. They identify terms in a sequence of integers, This two-page worksheet contains seven multi-step problems.
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Worksheet 1 - Polynomials, Functions, Rates
In this polynomial worksheet, students read an assortment of story problems, determine the necessary information, and write an equation to solve the problem. Problems consist of topics dealing with area, factoring polynomials, distance,...
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Functions
In this algebra worksheet, students look at 4 sets of relations and determine if they are functions. Students are provided with the graphs of three functions and determine the function value. Two relations are graphed on the coordinate...
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