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ResourceSpotlight
Students are introduced to determinants of two-by-two matrices by discovering that the determinant can be found by subtracting the products of the diagonals. Students are then introduced to Cramer's Rule and use it to solve three systems that have one solution, no solutions, and an infinite number of solutions. They graph the equations to verify their answers and are asked how Cramer's Rule can be used to determine the number of solutions to a system of linear equations.
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Texas Instruments, Inc.
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ResourceSpotlight
This activity begins by presenting a formula for the area of a triangle drawn in the Cartesian plane, given the coordinates of its vertices. Given a set of vertices, students construct and calculate the area of several triangles and check their answers with the Area tool. Then they use the common topological technique of dividing a shape into triangles to find the area of a polygon with more sides. Finally, they are challenged to develop a similar formula to find the area of a quadrilateral.
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Texas Instruments, Inc.
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ResourceSpotlight
In this activity, students are given data and asked to find the finite differences. They will use this to find a polynomial that models the data.
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Texas Instruments, Inc.
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ResourceSpotlight
In this activity, students are given data and asked to find the finite differences. They will use this to find a polynomial that models the data.
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Texas Instruments, Inc.
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ResourceSpotlight
In this activity, students will learn how to add, subtract, and multiply matrices. Students will also learn how to find the determinant and inverse of a matrix. A set of practice problems reinforces their skills.
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Texas Instruments, Inc.
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ResourceSpotlight
In this activity, students will represent a triangle with a matrix and use the determinant to find the area of three given triangles.
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Texas Instruments, Inc.
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ResourceSpotlight
In this activity, students will use matrices to perform dilations centered at the origin of triangles. Students will explore the effect of the scale factor on the size relationship between the preimage and image of a polygon.
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Texas Instruments, Inc.
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ResourceSpotlight
This activity begins by presenting a formula for the area of a triangle drawn in the Cartesian plane, given the coordinates of its vertices. Given a set of vertices, students construct and calculate the area of several triangles and check their answers with the Area tool. Then they use the common topological technique of dividing a shape into triangles to find the area of a polygon with more sides. Finally, they are challenged to develop a similar formula to find the area of a quadrilateral.
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Texas Instruments, Inc.
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ResourceSpotlight
In this activity, students will learn how to add, subtract, and multiply matrices. Students will also learn how to find the determinant and inverse of a matrix. A set of practice problems reinforces their skills.
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Texas Instruments, Inc.
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ResourceSpotlight
In this activity, students will represent a triangle with a matrix and use the determinant to find the area of three given triangles.
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Texas Instruments, Inc.
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