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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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The Algebra of Functions
Eighth and ninth graders add, subtract, multiply and divide functions as directed. Each problem is written in function notation, and the operation is shown in the same way. For example, students may be directed to find (f+g)(x). They are...
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Pedal Power
Employ proportional reasoning and algebraic understanding to a determine a real world math quandary. Intel has created a project based unit to engage learners in using algebra to describe the physical world. They will create equations,...
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Worksheet #2.7 MT-A141 PreCalculus
Get ready for Calculus! The class solves equations, graphs a relation defined parametrically, and gives the parametric equation for the inverse relation. They then identify the geometric relationship between two graphs.
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Equations from Unit Rates
Your class can become linear equations masters, as they calculate the rate of change of a function. They observe different types of coordinates as they relate to a graph, then use the Ti-navigator to move the line around and draw...
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Healthy Heart Night
The idea of having a Healthy Heart Night at your school is a fabulous thought. Here are a few ideas that detail was done at one elementary school. It would take a lot of organizing to make it happen, but seems well worth the effort. This...
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Algebra 1
Students study the functional relationships of a variety of problems. In this functional relationship lesson, students determine the dependent and independent quantities of a given set of data. Students record the data and write it in...
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Linear Piecewise Functions
Students explore the concept of piecewise functions. In this piecewise functions instructional activity, students graph piecewise functions by hand and find the domain and range. Students make tables of values given a piecewise function....
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Functions
Fifth graders explore mathematics functions. In this functions lesson, 5th graders explore 1 and 2-step functions involving addition, subtraction, multiplication, and division. Students also practice solving problems that their...
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Quiz: Solving Equations
In this solving equations worksheet, students solve one- and two-step equations containing one variable, as well as positive and negative whole numbers. Students examine equations containing multiplication, addition, and subtraction....
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Linear Functions of Two Variables
In this linear function worksheet, students write linear functions, in intercept form, that satisfy given conditions. They find the local linearity for a function. This five-page worksheet contains examples, explanations, and six...
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Building Understanding of Rate of Change/Slopes Using Alice
Young scholars explore slope as a rate of change. In this eighth grade mathematics lesson, students investigate real-world problems to determine rate of change and transform it into a linear representation, thus determining slope. Young...
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Exploration 1: Instantaneous Rate of Change Function
In this function worksheet, learners read word problems and write functions. They determine the instantaneous rate of change and identify intervals. This three-page worksheet contains approximately 20 problems.
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Rate of Change 1
In this rate of change worksheet, pupils use functions to determine the velocity of an object. This two-page worksheet contains ten problems.
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Similarities and Differences in Properties of Different Families of Functions - An Investigation
Exploring families of functions allows students compare and contrast properties of functions. Students discuss properties that include symmetry, max and min points, asymptotes, derivatives, etc.
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Solving Quadratic Equations by Graphing
In this quadratic equation worksheet, students solve quadratic equations by graphing on a coordinate plane. Given the roots and maximum or minimum points, students graph a quadratic equation. This one-page worksheet contains five problems.
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Exponential Functions
In this algebra activity, learners compute 4 functions for a given value. They graph 4 functions, and write equations for two graphs. Each function has an exponent as the variable.
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Exponential Graph Functions
For this exponential functions worksheet, students solve and complete 13 various types of problems. First, they define what is different and what is the same about exponential and linear functions. Then, students write a rule for each...
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Exponential Functions
In this exponential functions worksheet, students solve and complete 20 various types of problems. First, they graph the function and state the domain and range. Then, students tell whether the graph represents exponential growth or...
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Twenty-One Domain and Range Problems
In this domain and range worksheet, students identify the domain and/or range for twenty-one free-response and multiple choice problems. The functions include trigonometric functions. The solutions are provided.
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Cool Tools to Solve Challenging Word Problems
Students explore math functions by completing worksheets in class. In this word problem lesson, students read the story A Remainder of One and practice solving division problems from the story. Students complete a worksheet which...
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Comparing Cities and Their Common Functions
Ninth graders begin the lesson plan by watching a PowerPoint on the functions of cities. In groups, they use the internet to research various cultures throughout history and the cities that were formed at the time. They present their...
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Identifying World Cities
Pupils describe the functions and characteristics of their local community. In groups, they develop a definition of a city and identify the characteristics that make up a city. Using the internet, they rank cities based on their...
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Functions and Graphs, Section 1.2
In this function worksheet, students determine if a list of given relations is a function. They evaluate functions, examine graphs of functions, and find the domain and range of the represented function. Students solve 12 function...