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Explore teaching strategies to help students succeed on the ACT® math test using TI technology.
Students observe the relationship between a vector and its x- and y-components.
Students learn how to resolve a vector into perpendicular components. They first examine a vector that has been resolved into horizontal and vertical components.
Then, they use the angle measurement tool to measure the angle between the vector v and the horizontal vector (vx). They then derive equations for the lengths of the horizontal and vertical vectors as a function of the angle.
Next, students construct horizontal and vertical component vectors of a vector t. They use the length measurement tool to confirm the equation they derived at the beginning of the activity.
Finally, students explore perpendicular component vectors that are not horizontal and vertical. They study a simulation of a box resting on an inclined plane. Then, they construct the components of the box's weight vector that are parallel and perpendicular to the inclined plane.
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