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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