Linear Functions Teacher Resources
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Here is a well-designed resource that provides five yes-or-no questions which model different situations with linear functions. It makes a good pre-test for the beginning of the unit. The purpose is to elicit common misconceptions of word phases that describe different linear functions. The commentary not only gives an explanation of the solution, but explains how the student may mistake the situation.
Starting with a set of values for the x and y variables, this video shows how to tell whether these points determine a linear or non-linear function. Sal first defines linear functions in terms of the change in y over the change in x, then calculates whether this particular function is linear (it is not). Finally, he plots the points to verify that his conclusion is correct.
In this linear functions worksheet, students solve and complete 10 different types of problems. First, they write the particular equation expressing the number of items represented in each problem. Then, students find the x- and y-intercept and what it represents in the real world. They also plot the graph of a given linear equation.
Math scholars explore properties of linear functions. In this algebra lesson, learners solve word problems using algebraic symbols. They solve quadratic and linear equations using algebraic skills.
Students identify and graph linear functions. In this algebra lesson, students define the slope and y-intercept of a linear graph. The identify the graph and write an equation using the slope and intercept.
Students identify linear functions. They identify ordered pairs, perform a vertical line test, and examine functions described by equations. Students plot functions on a coordinate plane.
Students explore the concept of linear functions. For this linear functions lesson, students translate linear functions from tables to graphs to equations. Students use an applet to write a function rule for a linear function in English, as a table, and in algebraic form.
Students practice graphing linear data and make predictions about outcome of unknowns. They also use linear functions in order to make predictions. The mystery of finding linear functions is also solved.
Students identify the properties of a linear function. In this algebra lesson plan, students represents functions using tables and graphs. They apply the concepts of linear functions to solve real life problems.
Third graders graph lines using slope and y-intercept. In this algebra lesson plan, 3rd graders define the rate of change and and discover how the rate of change in linear functions remains constant.
Students are introduced to the basic ideas needed for understanding linear functions.
Students are introduced to the concept of linear functions. Using new terminology, they describe linear functions in sentences and in data tables. Using the internet, they calculate and record answers to problems which are discussed and reviewed with the class.
Students solve and graph exponential functions. In this algebra lesson, students identify function notations and discuss the different properties of exponential functions. They relate linear functions to the real world.
Young scholars investigate the concept of a linear function. They use geoboards to find the interior angle sums. The sum of the angles is found to equal 180 degrees. Students also investigate quadrilaterals.
Students graph linear functions. They plot three points, create a line, and discuss methods to find the slope of line. In groups, students solve problems, graph their lines and find the slope of a line using various methods. Upon completion, students 'decorate' their lives.
Students discover how abolute value affects linear functions. They complete a worksheet simulating a path for miniature golf hole in one for three figures. They construct a hole in one graph for each hole marking the X and Y coordinates.
Students identify and interpret how absolute value affects linear functions. They also graph linear functions and reflect them in a line of symmetry. Finally, students evaluate the absolute value of a constant using technology to problem-solve and graph data.
Students identify and reflect functions about the X-axis, Y-axis, and origin. They derive equations for reflected functions and graph the linear functions. Finally, students identify that f(x) can be reflected about each axis and the origin by manipulating the equation.
Using either data provided or data that has been collected, young mathematicians graph linear functions to best fit their scatterplot. They also analyze their data and make predicitons based on the data. This lesson is intended as a review of linear functions.
Learners investigate the relationship between the Fahrenheit and Celsius temperature scales. Given two data points, they construct a linear function to describe the relationship, find the inverse of the function, and make observations about function values in the context of the problem. The exercise is easily adaptable for either instruction or assessment.