Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
NEW YORK STATE P-12 COMMON CORE MATH STANDARDS - CORE MAPPING The following document is meant to be an aid to assist New York City School teachers with identifying New York State P-12 Common Core math standards that can be demonstrated with the SeaPerch underwater robotics program. The list is by no means exhaustive. Topic Standard Evidence Expressions & Equations 6.EE -Apply and extend previous understandings of arithmetic to algebraic expressions. -Reason about and solve onevariable equations and inequalities. -Represent and analyze quantitative relationships between dependent and independent variables SeaPerch effects underwater can be measured by the following equations: 1. Hydrostatic Fluid Pressure formula to calculate the change in pressure corresponding to a change in depth: Δp =ρ(fluid)gΔh 2. Calculating the Bouyant force of the SeaPerch when submersed using Archimedes' principle: B = ρ(fluid)g 3. Boyle's Law explains how the volume of a gas varies with the surrounding pressure. Students can use a baloon to experiment this phenomenon. The students can then calculate Boyle's Law: PV = c. Where, “P” represents pressure, “V” signifies volume and “c” represents a constant (fixed) number. 4. Electricity equations Voltage = Current X Resistance ( V = I * R ) Power = Current X Voltage ( P = I * V ) Power = Current2 X Resistance ( P = I2 * R ) Energy = Mass X [Speed of light]2 ( E = M * C2 ) Power = Energy / Time ( P = E / T ) 1 Watt of Power = 1 Joule/Second Geometry 6.G Solve real-world and mathematical problems involving area, surface area, and volume. Geometry 7.G Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. Geometric Measurement & Dimension G-GMD Archimedes' Principle states that upward buoyant force exerted on a body immersed in a fluid is equal to the weight of the fluid the body displaces. This equation is useful when attempting to create neutral buoyancy with the ROV. Students can test this equation by calculating the volume of water displaced from a tub of water. Expressions & Equations 8.EE Work with radicals and integer exponents. 1. Students can calculate drag for an object by calculating the realtive motion between the object and the fluid by using the equation D = 1/2Cρ(fluid)Av 2 where C is the drag coefficient. 2. Students can learn about the power dissipated by a resistor, wire or other load using the Power dissipation equation: P = I2R Vector & Matrix Quantities NVM Represent and model with vector quantities. Trigonometric Functions F-TF -Extend the domain of trigonometric functions using the unit circle. -Model periodic phenomena with trigonometric functions. -Prove and apply trigonometric identities. Congruence G-CO Experiment with transformations in the plane Similarity, Right Triangles, & Trigonometry G-SRT Students will use trigonometry and angles to learn about reflection, refraction and the critical angle of light vectors. Modeling with Geometry G-MG Apply geometric concepts in modeling situations 2. Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot). 3. Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios). Students will use this standard directly when they consider the density of water relative to air and its effects on the SeaPerch ROV. See Generally http://habibs.wordpress.com/watermathematics/ Advanced courses can evaluate caustics and crepuscular (“Godray”) modeling. The following was put together by SeaPerch New York Education Director Dr. James Hickey, PhD and Lieutenant Commander Michael Fourte, JD to aid teachers in identifying New York Core Math Standards that can be taught using the SeaPerch underwater robotics program. Sources: 1. http://www.p12.nysed.gov/ciai/common_core_standards/pdfdocs/nysp12cclsmath.pdf 2. http://habibs.wordpress.com/water-mathematics/ 3. http://www.seaperch.org/teacher_tools 4. Moore, Bohm, Jensen, Underwater Robotics, Science Design & Fabrication, Marine Advanced Technology Education Center, 2010