In this unit, students define vector quantities in component form and using magnitude and direction. Operations such as addition, subtraction, and scalar multiplication are performed both algebraically and geometrically. The dot product is applied to determine whether two vectors are perpendicular. The vector equation of a line is derived and applied. Parametric equations are defined, analyzed, and graphed. Equivalent forms of parametric and rectangular equations are determined. Parametric equations are applied to motion in the plane. The distance between a point and a line is derived and applied. Honors Precalculus students study the three-dimensional coordinate system, polar forms of points and equations, convert between rectangular and polar forms, and solve systems of polar equations. Complex numbers are expressed in polar form and are multiplied and divided. DeMoivre’s theorem is applied to powers and roots of complex numbers.
Instructional Flow (PDF)
Description of the typical order of textbook sections and topics taught in the unit.
Unit 6 Standards for Precalculus(PDF)
Explanation of what your child should understand by the end of each unit (enduring understandings), how he/she will get to that understanding (essential questions), and how he/she will be evaluated (indicators).
Content map for Precalculus Unit 6 (PDF)
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