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Logic of Algebra
Don't just go through the steps to solve an algebraic equation, show learners how to balance an equation with visual models. The packet introduces the idea of mobile balances to reinforce the idea that both sides must match to make the...
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Introduction to Limits
High schoolers practice using graphing calculators and spreadsheets as they explore numeric limits using sequences and functions. They complete a sequencing worksheet, and determine which sequence corresponds to story a story called...
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Worksheet 29 - Interval
In this interval worksheet, students find integrals of functions, use the first derivative test to classify points, and find the local and global extrema. This one-page worksheet contains eight multi-step problems.
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Worksheet 7 - Integral Test
In this integral test worksheet, students use the integral test to determine the upper and lower bounds for a given function. They identify the convergence of a series. This one-page worksheet contains four multi-step problems.
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Exponential Reflections
Explore the natural log function through the investigation of inverse of the exponential functions by plotting the inverse of the exponential solution points. Students examine the results to determine that the inverse is the...
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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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Cell Phone Range
Here is a 15 minute activity that can be used as review, a warm, or as a quick example of how to relate functions to the real world. Learners complete an application activity and draw conclusion about functions then discuss open and...
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Connecting Factors and Zeros
In this Algebra II lesson, high schoolers 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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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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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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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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Exercise Set 3.2: Logarithmic Functions
In this logarithm worksheet, students solve 82 short answer problems. Students use log properties to simplify logarithms and natural logarithms.
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Exploring Complex Roots
In exploring the concept of complex roots, students find the axis of symmetry and roots of parabolas. Then, they discuss what makes a solution complex and how to identify functions with complex roots.
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Regents Exam Questions: Domain and Range 1
In this domain and range worksheet, students examine functions and identify the range of a function. They find the maximum and minimum value of a function. This two-page worksheet contains 7 multiple-choice problems. ...
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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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Polynomial Functions
Students explore polynomial functions. In this Algebra II lesson, students explore graphs of polynomial functions as classify the functions as linear, quadratic, cubic, or quartic. Students determine the regression equation...
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Functions / Domain
Pupils identify and define what a function is and how to identify them and relations. They also use functional notation to compute the values of composite functions. Finally, students determine the domain and range of a given function.
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Graphing Linear Functions
Seventh graders identify the use of a function.They are asked to describe the input and output of a function. Students also identify different aspects of the coordinate system and represent functions in a visual graph.
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Connections Involving Linear And Quadratic Functions
In this math worksheet, students determine the range of the function. Then they graph the functions while finding the coordinates on the plane.
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Function Tables
Fourth graders explore the concept of function tables. In this function tables activity, 4th graders compare the star machine in The Sneeches to function tables in math. Students practice creating and solving function tables.
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Functions in Motion
Students graph polynomials functions and analyze the end behavior. In this algebra lesson, student differentiate between the different polynomials based on the exponents. They use a TI to help with the graphing.
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Types of Functions
Students graph step functions (for example, the greatest integer function), and then form the inverse function of given function. They also graph piece-wise defined functions and explain step-by-step the process. Finally, students define...
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Linear Modeling: Functions
Students analyze linear functions. In this algebra instructional activity, students create a linear model to relate coordinate pairs. They evaluate and solve equations.
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Functions As Graphs Worksheet
In this math worksheet, young scholars graph the data given in the organizer. The functions are used to create the new line for finding the possible unknowns.
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