Linear Functions Teacher Resources
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Learners analyze the difference between the slope intercept and standard forms of a line in this task. Given two general points using letters they explore linear functions and linear equations.
This thirteen-page PowerPoint presentation guides geometry learners in interpreting linear functions, linear data and their trend lines, the consequences of their constant rate of change, and growth rate. Real-life models including step-by-step solutions, graphs, and functions are used to compare the characteristics of linear and non-linear functions, especially exponential verses linear. Learners also explain the initial values and growth rates in practical terms.
In this linear functions instructional activity, learners 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 plan, 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. In 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 identify the properties of a linear function. In this algebra lesson, 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, 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.
Students 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 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 instructional activity is intended as a review of linear functions.
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.
Your learners can approach this task algebraically, geometrically, or both. They analyze the building of a linear function given two points and expand the concrete approach to the abstract when they are asked to find the general form of a linear equation using two points made up of only letters.
Investigate non-linear functions based upon the characteristics of the function or the representation of the function. The functions are displayed in multiple formats including as graphs, symbols, words, and tables. Learners use written reflection scored on a rubric to assess understanding.
Students apply the use of spreadsheets as they master the graphing of linear functions. They apply graph equations to the spreadsheets. They research material about slope and y-intercept of linear functions.