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ResourceSpotlight
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.
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Texas Instruments, Inc.
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ResourceSpotlight
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.
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Texas Instruments, Inc.
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ResourceSpotlight
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.
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Texas Instruments, Inc.
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ResourceSpotlight
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.
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Texas Instruments, Inc.
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ResourceSpotlight
In this activity, students will make observations about the motion of a boat going up and down the river. They will be instructed to solve the system of equations algebraically and graphically. Minimized slider bars allow students to explore the slope of a distance-time graph. Additional problems are provided for further practice.
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Texas Instruments, Inc.
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ResourceSpotlight
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.
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Texas Instruments, Inc.
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ResourceSpotlight
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.
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Texas Instruments, Inc.
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ResourceSpotlight
In this activity, students investigate the connections between the points on a line and the equation of the line written in slope-intercept form. They practice graphing linear functions and check their work using the TI-Nspire handheld. Next, they explore the slopes of lines that are parallel or perpendicular to a given line and graph a function given a point and the equation of a line parallel or perpendicular to it.
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Texas Instruments, Inc.
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ResourceSpotlight
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.
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Texas Instruments, Inc.
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ResourceSpotlight
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.
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Texas Instruments, Inc.
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