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The Basics Chapter 1
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Mathematics- The Language of Science
Ideas and values are expressed mathematically to give clarity of meaning and easier to prove/disprove
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Scientific Notation and Significant Figures
Method for writing values and keep only the digits required. Rules for Writing in Significant Figures 1. Every nonzero digit in a recorded measurement is significant m, m and 714 m all have three significant figures. 2. Zeroes appearing between nonzero digits are significant. The measurements 7003 m, m, and m all have four significant figures. 3. Zeroes in front of (before) all nonzero digits are merely placeholders; they are not significant only has two significant figures. 4. Zeroes at the end of the number if a decimal point is present and also zeroes to the right of the decimal are significant. The measurements m, m and all have six significant digits. 5. Zeroes at the end of a measurement and to the left of an omitted decimal point are ambiguous. They are not significant if they are only place holders: 6,000,000 live in New York—the zeroes are just to represent the magnitude of how many people are in N.Y. But the zeroes can be significant if they are the result of precise measurements. A vinculum over the least significant zero is often used.
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Convert each of the following into scientific notation.
1. 727 4. 200.0 x 102 x 102 Give the number of significant figures in each of the following. 6. 1.05 g 7. mm 8. ft 9. 0.90 x 1045 L
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Exponential (Scientific) Notation : Calculations
Rule for Multiplication - When you multiply numbers with scientific notation, multiply the coefficients together and add the exponents. The base will remain 10. Rule for Division - When dividing with scientific notation, divide the coefficients and subtract the exponents. The base will remain 10.
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Exponential (Scientific) Notation : Calculations
Rule for Addition and Subtraction - when adding or subtracting in scientific notation, you must express the numbers as the same power of 10. This will often involve changing the decimal place of the coefficient.
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SI Units In science we have standardized units for measuring and recording information. Time- second Length- meter Temperature- Kelvin Mass- kilogram *please note that SI units do not have to be base units. (look at mass) **derived units are those which are created from more than one unit. (speed of an object mph)
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Unit Prefixes Mega- 1 x 106 1000000 Kilo- 1 x 103 1000
Hecto- 1 x Deca- 1 x Base- 1 x 100 1 Deci- 1 x Centi- 1 x Milli- 1 x Micro- 1 x Nano- 1 x Pico- 1 x
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Practice: Convert the following values. Write the answer in scientific notation: 2000 kg to g 300 cm to mm 15 s to ms 1348 μm to hm 8735 ps to Ms
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The Basic Science Science used to be called ‘natural philosophy’
It is the study of unanswered questions There are two broad categories of science: Biological Science- biology, zoology, botany, … Physical Science- physics, chemistry, geology, astronomy, ….
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Physics is the basic science. It is the study of motion and forces
Chemistry is more complex. It is the study of atoms, how and why they combine and react. Biology is the study of molecules and compounds, how they interact with life and the environment
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Why study physics? Most modern technology came form physics
Most branches of science contain principles obtained from physics A knowledge of physics is essential for understanding music, art, and literature Also….physics hones thinking skills, college success is increased by taking challenging classes (physics), and there is a strong job market for physicists
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Scientific Method Let’s list the steps of the scientific method:
Recognize a problem Make an observation Formulate a hypothesis Conduct an experiment Collect data Analyze data Make a conclusion based on the data
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Okay…. so we just completed all the steps of the scientific method…
Okay….so we just completed all the steps of the scientific method….what is next? What if your hypothesis is not supported? What if your hypothesis is supported?
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Hypothesis A hypothesis must meet two criteria:
Testable- able to be tested Null- proven false
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Practice Identify if each of the following statement is a hypothesis and if not, why. Pepperoni is the best pizza topping. Our universe is surrounded by another, larger universe with which we can have no contact. There are other inhabited planets in the universe. Any two objects dropped from the same height will hit the ground at the same time, neglecting air resistance.
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Parts of an Experiment Variables- factors that change or are changed in an experiment Independent variable- what is changed or manipulated Dependent variable- what changes because of the independent variable Constant- variables in an experiment that is kept constant for all trials Control- the trial that you control to compare results to (does not receive the independent variable treatment)
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Practice Identify the variables in this experiment:
Students of different ages were given a jigsaw puzzle to put together. They were timed to see how long it took to finish the puzzle.
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Practice Identify the variables in this experiment:
The temperature was measure at different depths of water in a pond.
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Practice Identify the variables in this experiment:
The higher the temperature of water, the faster the egg will boil.
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The Scientific Attitude
Fact is the close agreement by competent observers who make a series of observations of the same phenomenon Law/principle is a hypothesis that has been tested over and over again without contradiction Theory is a large body of information that encompasses well-tested and verified hypothesis about certain aspects of the natural world Science is always evolving and changing as new information is discovered. Is this a strength of weakness of science?
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Science, Technology, and Science
Science is a method of answering theoretical questions Technology is a method of solving practical problems
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Graphing Activity Please work with the members at your lab table. In your notes, identify: The different types of graphs and what they are used for. The parts needed in a graph. You have 5 minutes. Go!!!
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Graphing Notes Best Fit or Trendline Data Points Scale
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Extra Notes Accuracy vs Precision
Accuracy is how well the results agree with the standard (hitting the bulls eye) Precision degree of exactness of the measurements (all the arrows hitting in the same area) Linear Relationships- directly proportional values. Nonlinear relationships- indirectly proportional
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Activity With your partner- create a lab activity to measure a paper air plane flight distance. Create a paper air plane. Write a procedure to test the distance. Make 1 modification and repeat the procedure. Identify the independent variable, dependent variable, constants, and control of the activity. *each person does this on his/her paper
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