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Students investigate the 'negative reciprocal' relationship between the slopes of perpendicular lines. The final phase of the activity is appropriate for more advanced students as they are led through an algebraic proof of the relationship. Optional geometric activities (problems 5 and 6 of the .tns file) use the result to verify that (1) the radius of a circle and its tangent line are perpendicular and (2) a triangle inscribed in a circle with the diameter as one side is a right triangle.
Texas Instruments, Inc.
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Students explore a geometric sequence that models the spread of the 2004 Mydoom virus. After finding a rule for the sequence, they apply it recursively to extend it and graph the resulting data as a scatter plot. Then they derive, evaluate, and graph an exponential function to model the data. The activity concludes by discussing the meaning of the constants a and b in the exponential function f(x) = abx.
Texas Instruments, Inc.
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In this activity, students will find a best fit line for data graphed as scatter plots. Applications of linear relationships provide motivation and improve skills and understanding of finding the equation of a line from two known points. Movable lines and self-check questions make this activity approachable for Algebra 1 students. Students can put into practice what they have learned with extension/homework questions.
Texas Instruments, Inc.
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In this activity, students will practice identifying slopes with informal pictures, and can self-check their understanding with one of the measurement tools. The students will also identify the slope and intercept of a given graph and will choose the correct equation in a multiple choice format.
Texas Instruments, Inc.
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Students graph two linear functions and estimate the solution of the system graphically using the Graph Trace feature. Then they examine functions tables to find the exact solution of the system.
Texas Instruments, Inc.
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Students first solve linear absolute value equations in a single variable using the definition of absolute value to write and solve two equations. They then explore the handheld's functionalities for solving and checking such equations. Students view graphs of absolute value inequalities, compare them to those of compound inequalities, and practice writing absolute value inequalities as compound inequalities. They solve absolute value inequalities and check their solutions by graphing them.
Texas Instruments, Inc.
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Brightstorm video explaining the concept of Introduction to Functions
Brightstorm.com
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In this activity, students will practice identifying slopes with informal pictures, and can self-check their understanding with one of the measurement tools. The students will also identify the slope and intercept of a given graph and will choose the correct equation in a multiple choice format.
Texas Instruments, Inc.
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In this activity, students will use ordered pairs, table of values, and a scatter plot to determine a function that represents real world data. Students will respond to questions about dog ages in human years, domain, range, and how the slope appears to be changing in the data/graph. In the extension students will use what they have learned in the activity to analyze cat’s ages.
Texas Instruments, Inc.
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Students graph systems of linear functions to determine the number of solutions. In the investigation, students are given one line and challenged to draw a second line that creates a system with a particular number of solutions.
Texas Instruments, Inc.
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