Function Notation Teacher Resources

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A simple definition of f(x), function notation.
Your young algebra engineers brainstorm a list of machines that are then related to algebra functions to begin their exploration of the mighty invention called function notation. A discussion follows using a box to represent the machine (which is named F) that takes in the raw material and alters it. The young engineers are then catapulted into an activity to soar higher in their understanding of a function. When they land, they are able to model a situation using function notation, evaluate function values given domain inputs, interpret the meaning of a function value in context, and leap tall buildings in a single bound.
Show learners that function notation and multiplication notation are not the same. In the example, Katie is given a function, C(x), which is the cost of producing x amount of DVDs. Ask learners if Katie can divide the function notation, C(x), by x when finding the average.
Burning calories is a function of the time an athlete runs, and modeling this scenario with function notation will make your algebra learners mathematically healthier. Math athletes begin their trek by determining a definition for function by analyzing a functions vs. non-functions worksheet with tables and graphs. Developing further, an all-class discussion explores a real-life example of functions using, ironically, a vending machine scenario. Athletes then use the included video on calories to practice writing in function notation and computing the value of a function given various inputs.
Using a TI-Nspire calculator, learners will work to better understand function notation and input/output functions. They write equations with a function symbols, identify what makes an equation a function, and graph lines in order to classify them as functions or not.
Young scholars differentiate between function and relation by analyzing graphs and data to determine if the pair of coordinates are a function or not. They rewrite functions using the correct notations. This lesson is broken down into timed segments which makes for easy planning.
A simple definition of f(x). Function notation.
Tables, functions, and stories with real-life scenarios are used in this cooperative learning activity. Young algebra engineers are catapulted into the activity "Flying T-Shirts' to sore higher in their understanding of a function.  When they land they are able to model a situation using function notation, evaluate function values given domain inputs, interpret the meaning of a function value in context, and leap tall buildings in a single bound.
Students solve quadratic equations using graphing. In this algebra lesson, students apply the correct form of functions notations. They solve parabolas by graphing and by algebraic expressions and equations.
Learners investigate trigonometric function.  In this Algebra II instructional activity, students explore functional notation and transformational graphing of trigonometric functions. 
For this graphing worksheet, one completes 13 problem solving questions regarding quadratic functions and function notation. The emphasis is on understanding parent functions and transformations. 
Here is an unexpected resource: chapter 1 of an Algebra textbook. You can use all or some of its contents to teach your Middle Schoolers all about algebraic expression, domain, function notation, linear equations, order of operations, input/output, ordered pairs, and variable expressions. This would be great for a substitute or newer teacher looking for reliable tools.
Learners identify the different stretches and compressions of their polynomial equations. They define when a graph will stretch vertically and when will it stretch horizontally. They also calculate when it will compress vertically and horizontally.
Students explore functions with nomographs on their TI-nspire calculators. In this function notation instructional activity, students find the function rule on three problems. They drag the point to observe a disappearing arrow, and tell why this happens. Students solve two compound and three inverse function problems.
In this variables and functions worksheet, students solve 7 different types of problems related to variables and functions and a vending machine. First, they determine which machine represents a function and why. Then, students determine which one does not represent a function and why. They also use function notation to represent the relationship between each code and the type of beverage the machine delivers.
Students apply the concept of functions to the real world. In this algebra lesson, students define inverse function and practice using the correct function notations. They graph and define functions as relations.
Students solve problems and answer questions on Gateway. In this algebra instructional activity, students evaluate and solve problems using the correct function notation. They represent function in the real world.
Students investigate reflections and symmetry about a line. In this algebra lesson, students apply function notations correctly to solve problems. They differentiate between even and odd function and discuss the reason for their names.
Students, after completing a warm up exercise on one proportion word problem, distinguish between functions and non-functions. They identify domain and range on a function as well as recognize and implement function notation. They solve problems on the board in groups.
Learners can use this online Algebra 1 sheet to practice completing function tables. They use functional notation to determine the functional value of a domain element. The one page sheet includes 5 multiple choice problems, hint options, and can be self grading so kids can check their own answers.

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