Students will apply mathematics formulas to calculate various geometric measures in the relationships between the height of a lunar communication tower and the tower’s communications range. Students will apply trigonometric functions when using data from the liftoff of the Lunar Lander from the Moon's surface. The Lunar Lander - Ascending from the Moon Introduction to Trigonometric Identities and Equations 7.1 Solving Trigonometric Equations with Identities 7.2 Sum and Difference Identities 7. Students will investigate, analyze and model the communication time lag between Earth and Mars. Fundamental theorem of calculus and definite integrals: Integrals Reverse power rule: Integrals Indefinite integrals of common functions: Integrals Definite integrals of common functions: Integrals Integrating with u-substitution: Integrals Integrating using long division and completing the square: Integrals Integrating using trigonometric. Students will describe the circular orbits of the space shuttle and the International Space Station (ISS) and predict the trajectory of the space shuttle as it rendezvous’ with the ISS. Students will use spherical coordinates and vector addition to find position coordinates of the space shuttle with respect to the Earth’s center. Students will study the flight pattern of NASA’s C-9 jet using their knowledge of precalculus and parametric equations. The study of Precalculus deepens students mathematical understanding and fluency with algebra and trigonometry and extends their ability to make connections and apply concepts and procedures at higher levels. Students will study the movement and mechanics of the robotic arm on the ISS using their knowledge in geometry and precalculus.
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