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Exploring Graphs: Relationships in Science and Daily Life

This resource delves into the significant relationships represented in graphs, highlighting the connection between variables such as practice time and skill level, temperature fluctuations throughout the year, and a person’s weight change traveling from Earth to space. It covers essential graph components including the Y-axis (dependent variable) and X-axis (independent variable), as well as direct and indirect relationships. Learn to set up and interpret graphs showing how study time affects test grades, and observe dynamic equilibria like ocean levels amidst evaporation.

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Exploring Graphs: Relationships in Science and Daily Life

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  1. Due Now: Name the relationship • The relationship between the amount you practice and your skill level • The temperature change during a year • The change in a person’s weight as they travel from the Earth to space.

  2. Seasons Topic: Graphing the Changing Environment Time Day/Night

  3. Graphs

  4. Parts of a Graph • -

  5. Y Axis – Dependent Variable - Origin X Axis – Independent Variable -

  6. Relationship between hours worked and pay Independent Variable – Working Hours Dependent Variable – Pay Setting up a graph

  7. Graphing – Hours worked & Paycheck When hours worked is high, pay is high 28 21 Pay (dollars) Direct Relationship 14 7 When hours worked is low pay is low 1 2 3 4 Time Worked (hours)

  8. Direct Relationship -

  9. Inverse or Indirect Relationship -  - Y Axis Density Temperature X Axis

  10. Cyclic (Cycle) Relationship - High Tides Low Time (hours)

  11. Constant – No change-Static - Mass Travel from the Earth to the Moon

  12. Non-Sense Graph DO NOT PICK – NOT POSSIBLE

  13. Rate of Change - Rate of Change = Change in Field Value Change in Time

  14. Graphing – Hours worked & Paycheck What is the rate of change between these two points? 28 21 Pay (dollars) 14 7 1 2 3 4 Time Worked (hours)

  15. Example (28 – 7) Dollars (4-1) Hours 21 Dollars 3 Hours 7 Dollars/Hours

  16. Example D Number of Cell Phone Users What is the rate of change from point A to point B C B A Years (1986 = 1)

  17. Example (A-B) (3000–1000) Users (4-2) Years 2000 Users 2 Years 1000 Users/Year

  18. Example D Number of Cell Phone Users What is the rate of change from point B to point C C B A Years (1986 = 1)

  19. Example (B-C) (14,000–3,000) Users (7-4) Years 11,000 Users 3 Years 3,667 Users/Year

  20. Example (C-D) • What is the rate of change between Points C and D?

  21. Extrapolation - Y Axis Density Temperature X Axis

  22. Interpolation - Y Axis Density Temperature X Axis

  23. Equilibrium • - • - Dynamic

  24. Dynamic Equilibrium -

  25. Example – Oceans are constantly evaporating, why is the ocean level remaining constant?

  26. Name that Relationship Y Axis - X Axis

  27. Name that Relationship Y Axis - X Axis

  28. Name the relationship • The relationship between the amount you practice and your skill level • The temperature change during a year • The change in a person’s weight as they travel from the Earth to space. - - -

  29. FQ Draw a graph showing the relationship between time studying and grade on a test

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