Functions Teacher Resources
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Students create a spreadsheet to analyze functions. In this algebra lesson, students use spreadsheets to find the intersection of systems of equations. They identify the dependent and independent function as it relates to a line.
Students read real world problems, determine the variables, and set up the function using algebraic statements. After entering data into the graphing calculator, they display information in the form of graphs and scatter plots. Students identify minimum and maximum values.
Students investigate families of functions. In this families of functions lesson, students discuss how changing a functions parameters affect its' graph. Students vary slope and y-intercepts of linear functions. Students stretch and shift trigonometric functions.
Students participate in a lesson that reviews the concept of linear functions in connection with preparation for an exam. The teacher reviews problems with the students for scaffolding. Students practice graphing linear functions.
Students investigate step functions. In this Algebra II/Pre-calculus lesson, students examine various taxi fare schemes and model the fares with step functions by making use of the calculator’s greatest integer function’s step function properties.
Students solve equations and graph their solutions. For this algebra lesson, students identify the domain and range of an equation and a graph. They identify the properties that make a graph a function.
Students evaluate the area of a picture frame and write algebraic representations. For this algebra lesson, students work in groups to find the area of different picture frames. Students then write algebraic expressions and present then to the class.
Students engage in a instructional activity about rational functions. They solve problems using g(x)/f(x) as the format for the function. The instructional activity includes sample directions to perform operations with the help of a graphing calculator. The instructions are specific for the Texas Instruments calculator.
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.
Learners analyze pairs of coordinates for functions. In this algebra lesson, students differentiate between relation, function and non-function. They match up the input and output to identify the domain and range of each relation.
Students solve and graph linear equations. In this algebra lesson, students collect data and plot it to create a linear function. They identify the domain and range of each line.
Students explore concept of functions as relationships, as machines, as equations, and as graphs.
In this variables and functions worksheet, 9th graders solve 8 various forms of problems that include word problems. First, they complete the puzzle to illustrate how words identified about the variables relates to the statement given. Then, students complete the table at the bottom to rewrite the expressions for the cost using multiplication instead of repeated addition.
Students define, identify and use relations, functions, variables and related terms. They begin to define inverses. The lesson plan is integrated with a language arts activity to work on reading skills.
Students investigate the growth and decay of an exponential function. In this algebra lesson, students apply properties of exponent solve problems. They identify any patterns they see in the graphs.
Eighth graders work together in groups to discover linear functions. They are giving a situation and they are to recreate it in their groups. They answer questions to complete the instructional activity.
High schoolers graph functions on their graphing calculators. They follow step-by-step directions to enter rational functions onto their calculators and then graph them. The worksheet includes nine questions.
Students explore different methods of graphing a function. In this Pre-calculus/Calculus lesson, students compare the function mode, polar mode, parametric mode, and implicit plots as they use A TI-89 to graph the equation of a circle.
In this algebra worksheet, students read the information about the relationships of functions and then they fill in the graphic organizer with the information at the bottom of the page.
Exponential functions are the name of the game. Young mathematicians can work through each of the eight worksheets by evaluating functions, applying logarithms, completing logarithmic functions, and building inverse functions. This would be a great set of worksheets to accompany an entire chapter.