

Objectives
of the Unit

Sample
Overview
The sample student
material below is from Lesson 2, "Using Trigonometry in Any
Triangle."
Students prove and use the Law of Sines in this investigation. Embedded
in this work is solving proportions.
Instructional
Design
Throughout the curriculum,
interesting problem contexts serve as the foundation for instruction.
As lessons unfold around these problem situations, classroom instruction
tends to follow a fourphase cycle of classroom activities—Launch,
Explore, Share and Summarize, and Apply.
This instructional model is elaborated under Instructional
Design.
View the
Unit Table of Contents and Sample Lesson Material
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How the
Geometry and Trigonometry Strand Continues
In Course 3 Units 1
and 3, students extend their ability to reason formally in geometric
settings. Deductive reasoning is used to prove theorems concerning parallel
lines and transversals, angle sums of polygons, similar and congruent
triangles and their application to special quadrilaterals, and necessary
and sufficient conditions for parallelograms. Circular functions (sine
and cosine) are used to model periodic change in Unit 6, Circles
and Circular Functions.
In Course 4: Preparation for Calculus,
geometry and algebra become increasingly intertwined. Students develop
understanding of twodimensional vectors and their application and the
use of parametric equations in modeling linear, circular, and other nonlinear
motion. In addition, students intending to pursue programs in the mathematical,
physical, and biological sciences, or engineering extend their ability
to visualize and represent threedimensional surfaces using contours,
cross sections, and reliefs; and to visualize and sketch surfaces and
conic sections defined by algebraic equations. They also extend their
understanding of, and ability to reason with, trigonometric functions
to prove or disprove trigonometric identities and to solve trigonometric
equations. They also geometrically represent complex numbers and apply
complex number operations to find powers and roots of complex numbers
expressed in trigonometric form. (See the CPMP
Courses 14 descriptions.)
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