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Volcanoes across the Curriculum Brian Bird GCC Math Faculty Summer 2020
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Volcanoes across the Curriculumbriag73751/Proj/Volcanoes... · 2020-07-13 · Volcanoes and Mathematics •Linear Modeling of Magma flowing from an effusive eruption –magma rises

Jul 17, 2020

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Page 1: Volcanoes across the Curriculumbriag73751/Proj/Volcanoes... · 2020-07-13 · Volcanoes and Mathematics •Linear Modeling of Magma flowing from an effusive eruption –magma rises

Volcanoesacross theCurriculum

Brian Bird

GCC Math Faculty

Summer 2020

Page 2: Volcanoes across the Curriculumbriag73751/Proj/Volcanoes... · 2020-07-13 · Volcanoes and Mathematics •Linear Modeling of Magma flowing from an effusive eruption –magma rises

Volcanoes and Mathematics

• Volumes of Solids

• Conceptual Integration

• Slice up a volcano and add up the slices to approximate volume

• Use Excel to do the “dirty” work

Page 3: Volcanoes across the Curriculumbriag73751/Proj/Volcanoes... · 2020-07-13 · Volcanoes and Mathematics •Linear Modeling of Magma flowing from an effusive eruption –magma rises

Volcanoes and Mathematics

• Linear Modeling of Magma flowing from an effusive eruption – magma rises to the surface and flows out of the volcano as a viscous liquid called lava.

• y=mx+b

Near Hilo, Hawaii

Page 4: Volcanoes across the Curriculumbriag73751/Proj/Volcanoes... · 2020-07-13 · Volcanoes and Mathematics •Linear Modeling of Magma flowing from an effusive eruption –magma rises

Volcanoes and Chemistry/Environmental Science

• Carbon Dioxide CO2

• Contributes to greenhouse effect and global warming

• Sulfur Dioxide SO2

• Contributes to acid rain

• When converted to sulfuric acid, it reflects solar energy and has a cooling effect

Mount Pinatubo Philippines, 1991

Page 5: Volcanoes across the Curriculumbriag73751/Proj/Volcanoes... · 2020-07-13 · Volcanoes and Mathematics •Linear Modeling of Magma flowing from an effusive eruption –magma rises

Volcanoes and Physics

•Viscosity

•Turbulent versus Laminar Flow

•Thermal versus Kinetic Energy

Page 6: Volcanoes across the Curriculumbriag73751/Proj/Volcanoes... · 2020-07-13 · Volcanoes and Mathematics •Linear Modeling of Magma flowing from an effusive eruption –magma rises

Volcanoes and Geography (1 of 2)

• Global

• Countries or States

Hawaii Volcanoes National Park

Page 7: Volcanoes across the Curriculumbriag73751/Proj/Volcanoes... · 2020-07-13 · Volcanoes and Mathematics •Linear Modeling of Magma flowing from an effusive eruption –magma rises

Volcanoes and Geography (2 of 2)

• RegionalYellowstone

• LocalSan Francisco Peaks, AZ

Page 8: Volcanoes across the Curriculumbriag73751/Proj/Volcanoes... · 2020-07-13 · Volcanoes and Mathematics •Linear Modeling of Magma flowing from an effusive eruption –magma rises

Volcanoes and Cartography

•Topo maps

•Hazard maps

Page 9: Volcanoes across the Curriculumbriag73751/Proj/Volcanoes... · 2020-07-13 · Volcanoes and Mathematics •Linear Modeling of Magma flowing from an effusive eruption –magma rises

Volcanoes and Biology

• Soil

• Species adapting

• New species

• Extinction

Page 10: Volcanoes across the Curriculumbriag73751/Proj/Volcanoes... · 2020-07-13 · Volcanoes and Mathematics •Linear Modeling of Magma flowing from an effusive eruption –magma rises

Volcanoes and Marine Biology

• Source of life on earth?

• Species adapting

• New species

Page 11: Volcanoes across the Curriculumbriag73751/Proj/Volcanoes... · 2020-07-13 · Volcanoes and Mathematics •Linear Modeling of Magma flowing from an effusive eruption –magma rises

Volcanoes and National Parks

• Yellowstone

• Hawaii Volcanoes

• Lassen Volcanic

• Olympic

• North Cascades

• Mount Rainer

• Crater Lake

• Haleakala

Page 12: Volcanoes across the Curriculumbriag73751/Proj/Volcanoes... · 2020-07-13 · Volcanoes and Mathematics •Linear Modeling of Magma flowing from an effusive eruption –magma rises

References (1 of 2)

• https://www.petervis.com/mathematics/Volume_of_Cone_Derivation_Proof/Volume_of_Cone_Derivation_Proof.html

• http://volcano.oregonstate.edu/book/export/html/974#:~:text=Effusive%20eruptions%20%E2%80%93%20magma%20rises%20through,in%20pieces%20known%20as%20pyroclasts.&text=Whether%20a%20volcano%20will%20erupt,by%20the%20presence%20of%20bubbles.

• https://www.mathsisfun.com/algebra/linear-equations.html

• https://courses.lumenlearning.com/introchem/chapter/volcanoes/

• https://g4volcanoes.weebly.com/physics.html

Page 13: Volcanoes across the Curriculumbriag73751/Proj/Volcanoes... · 2020-07-13 · Volcanoes and Mathematics •Linear Modeling of Magma flowing from an effusive eruption –magma rises

References (2 of 2)

• https://www.nationalgeographic.org/encyclopedia/ring-fire/

• http://volcano.oregonstate.edu/topographic-cardboard-volcano

• https://www.usgs.gov/media/images/mount-st-helens-washington-simplified-hazards-map

• https://g4volcanoes.weebly.com/biology.html

• https://oceantoday.noaa.gov/underwatervolcanoes/