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ResourceSpotlight
In this activity, students will practice finding rectangular areas with algebraic expressions for the lengths of the sides.
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Texas Instruments, Inc.
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ResourceSpotlight
In this activity, students will look for both number patterns and visual shapes that go along with quadratic relationships. Two applications are introduced after some basic patterns in the first two problems.
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Texas Instruments, Inc.
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ResourceSpotlight
In this activity, students will make connections between the visual ways to find zeros of a parabola and algebraic ways. The quadratic formula is heavily emphasized in this document, and is utilized in both the "Calculator" and "Lists & Spreadsheet" applications.
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Texas Instruments, Inc.
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ResourceSpotlight
In this activity, students will interactively investigate ordered pairs. They will graphically explore the coordinates of a point on a Cartesian plane, identifying characteristics of a point corresponding to the coordinate. Students will plot ordered pairs of a function, list these in a table of values, and graph them in a scatter plot. Students use self-check questions to check their understanding with immediate feedback. Extension questions are also provided to apply what is learned.
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Texas Instruments, Inc.
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ResourceSpotlight
Students graph a quadratic function and investigate its symmetry by choosing pairs of points with the same y-value. They then calculate the average of the x-values of these points and discover that not only do all the points have the same x-value, but the average is equal to the x-value of the vertex.
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Texas Instruments, Inc.
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ResourceSpotlight
Students explore geometric proofs for two factoring rules: a2 + 2ab + b2 = (a + b)2 and x2 – a2 = (x – a)(x + a). Given a set of shapes whose combined areas represent the left-hand expression, they manipulate them to create rectangles whose areas are equal to the right-hand expression.
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Texas Instruments, Inc.
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ResourceSpotlight
In the first part of this activity, students graph a quadratic function that models the shape of a bridge trestle. They then solve the related quadratic equation by completing the square, recording each step as they complete it. This list of steps is then generalized to deduce the quadratic formula. In the second part of the activity, students store the formula in their handhelds, compare its results with those of the nSolve command, and use it to solve several other quadratic equations.
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Texas Instruments, Inc.
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Step-by-step solutions to odd-numbered problems from dozens of pre-algebra textbooks.
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Hotmath
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