GO FISH. GO FISH. An Interdisciplinary Unit Of Mathematical Applications in the Aquatic Community. Mathematics – The Language.
Mathematics is a language of pattern. Its linguistic structure seems to accurately reflect hidden, often unimaginable physical structures. It is about the relationship among numbers. Mathematicians analyze the basic language of arithmetic, and they use algebra to explore and generalize its grammatical rules. Mathematics is about grammar, structure, form and pattern which is why it is the language that is used to explain nature.
Topics for the Report
Sea Turtle Tracking, Dolphin Prosthetics, Boat Building, Waves, Perfect Storm, Navigation, Tides, Beach Erosion, Shark Feeding, Fishing – Sport or Commercial, Maintaining
an Aquarium, The Coral
Reef, Climate Change
and Sea Level and
You and another student in your class will select a topic and conduct independent research to investigate a topic related to fish, marine mammals, or exploration of the ocean, its connection to mathematics and a famous person associated with the topic. You will each complete a two-page typed report about the topic and the related mathematics. You should use a 12 pt Times New Roman font in your report. The report must include a work-cited page in MLA format referencing a minimum of three Internet, text, video or interview sources. You must use more than one type of source.
the game will require students to match cards that have
information from media specialist, student and teacher presentations
that showcase real-life connections between mathematics and
science, industry, music or art.
1. Sea Turtle Tracking
1. ABCF and DEFC are isosceles trapezoids. FC bisects angle AFE and angle BCD. Fill in the measurements of the angles not given.
2. Are ABCF and DECF similar? Explain.
3. Are triangle CGB and triangle CHD similar? Explain
4. Find the length of the stingray feeding mechanism from front to back with the jaws in a resting state.
5. JKLP and NMPL are isosceles trapezoids. Fill in the measurement of each angle not already given.
6. Find the length of the feeding mechanism from front to back with the jaws in a protruded state.
7. From how far above the sea floor can the stingray reach its food?
1. ABCF and DEFC are isosceles trapezoids. FC bisects angle AFE and angle BCD. Fill in the measurements of the angles not given. (40 and 140)
2. Are ABCF and DECF similar? (No) Explain. ( Although corresponding angles are congruent, corresponding sides are not proportional)
(For two triangles, it is sufficient to have congruent corresponding angles)
4. Find the length of the stingray feeding mechanism from front to back with the jaws in a resting state.(1,2856 + 1.4463 = 2.7319)
5. JKLP and NMPL are isosceles trapezoids. Fill in the measurement of each angle not already given. (115, 65, 70, 110)
6. Find the length of the feeding mechanism from front to back with the jaws in a protruded state.(1.8126 + 2.1143 = 3.9269)
(3.9269-2.7319 = 1.1950 About 1.2 cm)
Puffed up pride: The pufferfish's unique and distinctive natural defenses are necessary due to its slow speed. Puffer fish use a combination of pectoral, dorsal, anal, and caudal fins for propulsion, making it unmaneuverable and an easy target for predators. As a defense mechanism, pufferfish have the ability to inflate rapidly, filling their extremely elastic stomachs with water (or air when outside the water) until they are almost spherical in shape. Thus, a hungry predator stalking the pufferfish may suddenly find itself facing what seems to be a much larger fish and pause, giving the pufferfish an opportunity to retreat to safety.
Download video from Utube and also activity scanned
from University of Tampa materials
The Otter’s jaws are tangent to the pufferfish. For the arcs ,, represent the arcs in degrees. What is Answer: 360 degrees
Write an equation relating to the measurement of angle ABC. Answer: ()/2 = 46 degrees
Find . Answer: 226 degrees, 134 degrees
Draw AC and label its midpoint H. Draw DB. Name every triangle in the picture that is similar to BHA. Answer: BHC, AHD, CHD.
5. Find the radius, r, of the circle. Answer: 3.82 cm
6. What is the diameter of the largest pufferfish this otter can eat? Answer: 7.64 cm
Average life span in captivity: 45 to 50 years
Size: 10 to 14 ft (3 to 4.2 m)
Weight: 1,100 lbs (500 kg)
Due to the loss of circulation in her tail from being caught in the lines of the crab trap, it was necessary to amputate her tail. Hanger Prosthetics created a tail for Winter. She wears it part of each day as therapy so that she will not injure her spine from swimming like a fish instead of a mammal.
Winter is among several rescued dolphins at Clearwater Marine Aquarium. The animals ‘ health and behavior are monitored constantly as patients in a hospital would be.
The trainers reported that Winter loves all the attention. Her favorite toy is a floating pad as shown in the first photo. The trainers reported that she does not like rain.
Science Daily, Apr. 10, 2007 — Marine scientists recently published a research paper in the science journal, biology letters, that found humpback whales migrate over 5,100 miles from Central America to their feeding grounds off Antarctica; a record distance undertaken by any mammal.
If the ratio of the weight of an average student (125 pounds) to the weight of a humpback whale is 1/640, what is the weight of the humpback whale?
If humpback whales swim about 5 miles per hour while migrating, write an expression for the distance traveled in “x” hours, “x” days. If a whale migrated 1020 miles, how many days did the whale travel?
We will go outside. Divide into two teams. An average humpback whale is forty-four (44) feet long. Demonstrate the length of an average humpback whale.
500 fish were captured in the Gulf of Mexico in a designated area and tagged. The fish were released. 400 fish were captured in the same designated area. Of the 400, 12 were tagged. How can this help us estimate the fish population of the area?
Whale shark gliding off Sail Rock in the Gulf of Thailand. They are the largest fish species in the ocean, but the majestic gliding motion of the whale shark is, scientists argue, an astonishing feat of mathematics and energy conservation.
What movement do ocean animals have to consider in addition to travel speed?
How have scientists monitored the motion of whale sharks?
Why are sharks able to glide without using energy?
4. What part of their movement is
1. What movement do ocean animals have to consider in addition to travel speed?
Answer: A second movement is vertical.
Answer: They use animal-borne motion sensors.
Answer: Sharks have negative buoyancy.
Answer: Shallow and steep ascent angles optimize their energy when they are moving vertically.
One of the power points from the unit, “Go Fish”, Linda Shepard and Chris Helminski, BRHS. Many of the activities were courtesy of the Science Math Masters Workshop, 2012, University of Tampa.