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Mathematics in Science

Mathematics in Science. Essential Question: How do scientists use math in science? Objectives: 1) Describe what math skills scientists use in collecting data and making measurements 2) Identify the math skills scientists use to analyze their data. Mathematics and Science. Estimation

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Mathematics in Science

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  1. Mathematics in Science Essential Question: • How do scientists use math in science? Objectives: 1) Describe what math skills scientists use in collecting data and making measurements 2) Identify the math skills scientists use to analyze their data.

  2. Mathematics and Science Estimation What is the difference between estimation and guessing? Why do scientists use estimation? Example • An approximation of a number based on reasonable assumptions. • An estimate is based on known information ; guessing is an opinion based on little or no evidence • Scientists must use estimation when they cannot obtain exact numbers • How would you estimate the number of students in this school? • One way: count the number of students in one class, and multiply that number by the number of classes in the school • 35 students in one class x 30 classes = 1050 students

  3. Mathematics and Science Accuracy vs. Precision Accuracy Precision Accuracy and precision in measurements How do you make measurements accurate and precise? How close a measurement is to the true or accepted value Example: a clock reading 4:00 pm when the actual time is 4:00 pm How close a group of measurements are to each other Example: a friend’s clocks are always 15 minutes late- the clocks are precise to each other Both accuracy and precision are important when making measurements Use a high quality measurement tool Make measurements carefully Repeat the measurement a few times

  4. Mathematics and Science Accuracy vs. Precision

  5. Mathematics and Science Percent Error Equation Example What do the percentages mean? Percent error calculations determine how accurate or close to the true value, an experimental value really is. A low percent error means your measurements are very accurate. A high percent error means your measurements are not very accurate. Tanya measured the mass of an object to be 187 g. The object’s actual mass was 170 g. What is Tanya’s percent error? Difference between experimental value and true value True value Difference between experimental value and true value True value Percent error= Percent error= X 100% X 100% Percent error= 187 g – 170 g 170 g X 100% Percent error = 10%

  6. Summary Answer the essential question and the objectives. Make sure to use complete sentences.

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