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End-of-Module Assessment Task - Algebra 1 (Module 3)
Looking for higher-level thinking questions? This assessment provides questions that challenge young mathematicians to think and analyze rather than simply memorize. Topics include piecewise functions, linear modeling, exponential...
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Worksheet 30 Spring 1996
In this math instructional activity, students examine the functions for their properties to determine if they are real or not. They also graph them according to their domain and range.
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Worksheet 11
In this math worksheet, students define a function f(x) by the following rule: for any x ∈ R,set. They also define the domain and range for the functions.
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Lesson 2: Introduction to Equations & Why We Can Solve Equations
In this equations worksheet, students explore mathematical expressions. They solve algebraic equations with one variable and identify the domain and range. This five-page worksheet contains detailed notes, examples, and 4...
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Decode Word Is..
Students solve problems using patterns. In this algebra lesson, students identify the relation, domain and range of a function. They graph functions using coordinate pairs.
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Algebra II Test Sections 2.4
In this algebra worksheet, students identify the slope of a line, solve algebraic equations with absolute value, and identify the domain and range of given functions. This three-page worksheet contains 21 problems.
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Intersecting Graphs
Ninth graders know how to solve a system of linear equations, but what happens when the system involves an exponential function? The instructional slideshow teaches viewers to determine solutions to systems of equations with linear...
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Composition of Functions
Students solve problems using the composition of functions. In this algebra instructional activity, students analyze the graph of a quadratic equation for its vertex and intercepts. they find the inverse of the function using addition,...
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Worksheet 8
In this math worksheet, students examine the functions that are given. The domains and ranges are varied according to each function. Then they write the proofs for them.
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ESP Quiz 2
Students solve five short answer (computation) problems, with three sets of instructions. Two problems require students to find the domain or range of a function. They evaluate limits problems, making proper use of limit notation for the...
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Tour + Workshop = DESIGN: Form Follows Function
Learners design a chair with function in mind. In this design lesson, students design a chair out of newspaper that is strong enough to hold a "peanut ball". Learners discuss how the form follows the function. This lesson includes...
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...
Illustrative Mathematics
Transforming the graph of a function
This activity guides learners through an exploration of common transformations of the graph of a function. Given the graph of a function f(x), students generate the graphs of f(x + c), f(x) + c, and cf(x) for...
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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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The Princess And The Painter
Students discover Baroque art techniques through the research of Diego Velasquez' work "Las Meninas" and other Baroque art. This leads to an exciting creative art project of "everyday life" by each student.
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Domain of Functions
In this domain of functions worksheet, students find the domain of given functions. They simplify functions containing square roots and exponents. This one-page worksheet contains 4 problems.
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Domain of Functions (2)
In this function worksheet, students identify the domain of the given functions. Functions contain exponents and square roots. This one page worksheet contains three multi-step problems.
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Algebra II Review: Exponential Functions and Logarithms
For this Algebra II review: exponential functions and logarithms worksheet, students solve 19 problems, including making graphs, simplifying and evaluating.
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Test on Limits and Continuity
Students review concepts of logarithms for their test. For this calculus lesson, students review inverse function, limits, derivatives and solving logs equations. They review the chain rule and domain and range of inverse...
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Graphing Radicals
In this algebra worksheet, students find the domain and range of radical functions. They are given an equation and asked to graph the function. There are 14 questions on this worksheet, with an answer key.
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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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Dynagraphs
Learners collect and graph their data. In this precalculus lesson, students identify the input and out of a function. They find the domain and range and the inverse of a function.
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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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Functions/Domain
Students differentiate their problems to find functions and non-functions. In this calculus instructional activity, students relate functions and relation through similarities and differences. They rewrite equations that are...