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Chapter 7. Functions and Graphs
In this functions and graphs worksheet, students determine the domain and range of a given relation. They graph functions on a coordinate plane and write equations in the slope-intercept form. This twelve page worksheet...
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Difference of Equations
In this difference of equations worksheet, learners solve and complete 49 various types of problems. First, they obtain the solution of any linear homogeneous second order difference equation. Then, students apply the method of solution...
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Relation, Function, Domain, & Range
In this relation, function, domain, and range worksheet, high schoolers answer 6 open-ended questions about relations and functions. Students determine the domain and range of a function. High schoolers give examples and...
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Operations with Functions Including Composition
Students explain functions. In this function lesson, students solve functions. Groups of students develop strategies to perform operations with functions. They write test questions using functions which include all...
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Graphing Quadratic Functions
Pupils explore quadratic functions in this algebra instructional activity. They investigate transformation of quadratic functions using the TI calculator. They use the vertex form for this instructional activity.
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Rational Functions
In this rational functions instructional activity, students identify rational functions. They find the domain and range of each function. Students find the x and y-intercepts of functions. This two-page instructional...
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SAT Problem Solving Practice Test 02
In this problem solving worksheet, students solve a variety of problems. Problems include topics such as rate, time, similar figures, volume, and functions. This one-page worksheet contains ten multiple-choice problems. ...
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Connecting Factors and Zeros
In this Algebra II lesson, students explore the connection between the factored form of a quadratics and the zero of a function. Students use a graphing calculator to verify factoring numerically and graphically.
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Keep it Bottled Up: Linear Rates of Pressure Increase
Pupils explore linear functions in this lesson when they collect and analyze data as a chemical reaction proceeds. Learners record pressure versus time data and model the data as a linear function. They also examine the concept of slope...
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Evaluating Functions
In this solving functions worksheet, students compute the answers to given values of a variety of functions. One problem involves absolute value, four involve a complicated exponential value. There are 14 problems in all.
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Wrapping It All Up
Through learning how to examine linear, quadratic, and exponential functions, students explore the effects of changes in parameters on the graphs of linear, quadratic, and exponential functions. The lesson is designed to be a...
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Flipping Coins: Density as a Characteristic Property
Young scholars explore linear functions in a crime solving context. They collect and analyze data using linear equations, then interpret the slope and intercepts from a linear model.
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Algebra Nomograph
Investigation of a nomograph teaches students 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. Students make a scatter...
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Where Should They Hold the Fundraising Party?
Pupils explore financial applications of linear functions. As they investigate the steps necessary to plan a fundraising event, learners explore minimizing cost and maximizing profits.
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You Must Still Think Yourself, CAS Can Only Help
Have the class learn about and make conjectures about a line intersecting a cubic. In this making conjectures about a line intersecting a cubic lesson plan, students draw lines that intersect a cubic at three different...
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The Energy of Empty Space
In this energy in empty space worksheet, students use an equation for Cosmic Inflation to solve eight problems. They find the domain and range of the function of the equation, they determinethe axis of symmetry, they find the critical...
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Linear and Exponential Models
Students investigate the differences between linear and exponential models. In this linear and exponential models instructional activity, students make a table of given data. Students determine if the data is linear or...
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Properties of Logarithms
High schoolers explore the concept of logarithms. In this logarithms lesson, students discuss the logarithm properties. High schoolers use linear functions as a basis to develop the logarithm properites by substituting log b...
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Tight Rope
Learn how to explore the concept of linear functions. In this linear functions lesson, students collect linear data from a motion detector. Students walk to create a linear function. Students plot the points on a graph...
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NUMB3RS Activity: Exponential Growth
Mathematicians investigate exponential growth by exploring two different options for receiving allowance. Students use technology to compare a linear function with a constant rate of growth to a function that grows exponentially...
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Getting Started with the TI-Navigator™ System: What's My Line?
Learners analyze linear functions in this algebra lesson. They explore the meaning of slope and the slope-intercept form of a line as they investigate the effect changing parameters on the graph of a linear function.
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Logarithms
Students explore the concept of logarithms. In this logarithms instructional activity, students answer true/false questions about logarithms. Students simplify logarithms and condense and expand logarithms.
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Graphing at all Levels: It's a Beautiful Thing!
Mixing math and art is done in this lesson by applying graphing knowledge to create a unique piece of art. This lesson varies acording to the graphing knowledge of the artist. First, learners identify and review various types of graphing...
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Functions & Algebra
Students examine linear equations. In this functions and algebra lesson plan, 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.