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New York State Testing Program Practice
In this standardized test preparation worksheet, 8th graders solve several varying problems. This twelve page test preparation worksheet asks students to show their work and explain how they arrived at their answers.
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Differentiation of Functions
In this differentiation of functions worksheet, students find the first derivative of given functions. Functions contain exponents and square roots. This three page worksheet contains nine multi-step problems.
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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 contains 30...
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Difference of Equations
For this difference of equations worksheet, students 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, students answer 6 open-ended questions about relations and functions. Students determine the domain and range of a function. Students give examples and non-examples of functions.
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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 operations...
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Graphing Quadratic Functions
Pupils explore quadratic functions in this algebra lesson plan. They investigate transformation of quadratic functions using the TI calculator. They use the vertex form for this lesson plan.
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Rational Functions
In this rational functions learning exercise, 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 learning exercise contains 35...
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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. Answers may be...
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Powerful Patterns
Students use logical thinking to create, identify, extend and translate patterns. For this pattern lesson, students make patterns with objects, numbers, and shapes. Students extend and translate these patterns in several modalities...
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Connecting Factors and Zeros
In this Algebra II lesson, learners 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
For 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 review of...
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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 plot of...
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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, learners draw lines that intersect a cubic at three different points. Students...
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The Energy of Empty Space
In this energy in empty space worksheet, high schoolers 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...
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Linear and Exponential Models
Students investigate the differences between linear and exponential models. In this linear and exponential models lesson, students make a table of given data. Students determine if the data is linear or exponential by plotting the data...
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Properties of Logarithms
Students explore the concept of logarithms. In this logarithms lesson, students discuss the logarithm properties. Students use linear functions as a basis to develop the logarithm properites by substituting log b and log a for x and y.
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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 and determine a...
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NUMB3RS Activity: Exponential Growth
Mathematicians investigate exponential growth by exploring two different options for receiving allowance. Learners use technology to compare a linear function with a constant rate of growth to a function that grows exponentially where...
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Getting Started with the TI-Navigator™ System: What's My Line?
Learners analyze linear functions in this algebra instructional activity. 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.