Algebraic Function Teacher Resources
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In this algebra functions worksheet, students review the definition of a function and the four different ways to represent a function. Students then determine if the four given examples represent functions. Students explain their answers.
In this algebra functions instructional activity, students complete a table of x and y number pairs. Students then answer the three questions that follow.
Full of info, this handout provides the rules, properties, and common mistakes found in an algebra course. This cheat sheet is a great resource for those hard-to-remember exponent rules and hyperbola equations, along with everything else your mathematicians need to remember. The first two pages are full of algebra topics, while the last page lists common errors and explanations.
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.
In this introduction to functions video, Sal gives an intuitive definition of what a function is and introduces the function notion, f(x). He finishes the video by looking at a simple example of evaluating g(f(x)) without getting into much of the complexity of composite functions.
Sal draws a graphical representation of a function, f(x), and builds and evaluates other functions based that function.
This video continues to look at evaluating functions by looking at examples of evaluating basic composite functions.
Students identify properties of a line. For this algebra lesson, students differentiate between functions and nonfunctions. They use the slope and y intercept to graph their lines.
Learners graph polynomials functions and analyze the end behavior. In this algebra instructional activity, student differentiate between the different polynomials based on the exponents. They use a TI to help with the graphing.
In this algebra activity, 6th graders review different ways to represent a function. They tell whether a function is represented in the first 2 questions, use rules to complete 6 function tables, and complete 1 word problem.
Learners write the percent of 8 numbers as a ratio. They write 12 percentage problems as decimals and utilize algebra functions to solve 3 equations. Pupils answer two test prep questions involving percentages.
In this addition worksheet, students add upward 15 2 and 3-digit whole numbers problems. Students complete 3 tables utilizing Algebra functions and answer 2 test prep questions.
In this algebraic functions worksheet, learners write a function to determine the relationship between people and barrels of oil used. They research the population of the 10 largest cities in their state and use this functional relationship to calculate the number of barrels and gallons of oil used by each city.
Starting from a brief look at functions and the mapping of domains to ranges, Sal starts out with an intuitive sense of what a function inverse is. He then, using an example, shows how to find the inverse of a function and also shows how the graph of the function and its inverse are reflections over the y = x line. This video provides a good review of function inverses for more advanced students or a nice introduction for the beginning student.
Are odd numbers connected to odd functions and even numbers to even functions? This video tries to clarify that connection. It also talks about functions that are neither odd nor even to give a more intuitive feeling about classifying these functions.
What does it mean for two things to have a functional relationship? In this video, Sal takes the example of a table of values that map a personÕs name to their height and discusses how this is a functional relationship. He also considers how the table could be changed so that the relationship is no longer a function.
What does it mean for two things to have a functional relationship? In this video, Sal takes the example of a table of values that map a personÕs name to their height and discusses how this is a functional relationship. He also considers how the table could be changed so that the relationship is no longer a function.
We look at a number of different examples of functions and see what their domain is. Sal writes the domain in set notion and shows how different functions can have different input values that cause the function to be undefined.
Students use a table, graph or equation to represent a quadratic function. In this algebra lesson, students model and graph with quadratic function. They become comfortable representing quadratics using different methods.
This comprehensive unit on linear and exponential functions provides numerous clearly-written worksheets. Topics include graphing linear equations, solving systems of equations algebraically and by graphing, identifying the domain and range of a function, graphing exponential and linear equations, representing a function with a table, algebraically, and graphically, finding the intercepts of graphs, finding slope and rate of change, finding best-fitting line, comparing linear and exponential functions, creating functions, recursive formulas, arithmetic sequences and series, and sequences as functions.