Scientists use math skills in collecting data and making measurements.
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1-4: Mathematics & Science Scientists use math skills in collecting data and making measurements.
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Transcript of Scientists use math skills in collecting data and making measurements.
1-4: Mathematics & Science
Scientists use math skills in collecting data and making measurements.
Anticipatory Set
What mathematical operation do you use in finding the volume of a regular solid?
What mathematical operation do you use in determining the density of an object?
California StandardsScience Standard 8.9.b: Evaluate
the accuracy and reproducibility of data.
Inputestimate: an approximation of a number
based on reasonable assumptions.accuracy: how close a measurement is to
the true or actual value.reproducibility: how close a group of
measurements are to each other.
Inputsignificant figures: all of the digits that have
been measured exactly, plus one digit whose value has been estimated.
precision: a measure of the exactness of a measurement.
InputScientists must sometimes rely on estimates when they cannot obtain exact numbers.
Input
Accurate
Not Reproducible
Not Accurate Not Reproducible
Not Accurate
Reproducible
Accurate Reproducible
Scientists aim for both accuracy and reproducibility in their measurements.
Accuracy vs. Reproducibility
Input
To ensure accuracy, you need to make your measurements carefully using the appropriate instruments.
To ensure reproducibility, you need to repeat the measurement a few times.
InputScientists use significant figures to express precision in their measurements and calculations.
Input & Modeling
When adding or subtracting, the answer should have the same number of decimal places as the measurement with the least number of decimal places.
5.3 cm (1 decimal place)
+21.94 cm (2 decimal places)
27.27 cm = 27.2 cm (1 decimal place)
Input & Modeling
When multiplying or dividing measurements, the answer should have the same number of significant figures as the measurement with the least number of significant figures.
2.25 m (3 significant figures)
x 3 m (1 significant figure)
6.75 m2 = 7 m2 (1 significant figure)
What is the area of a ticket stub that measures 3.5 cm by 2.2 cm?7.7 cm2
Find the area of a rug that is 5.0 by 3.0?15 cm2
Check forUnderstanding
HOMEWORK EXTENSION Write a detailed SUMMARY of the section and
complete the UNANSWERED QUESTIONS section of your notes.
Choose two of the remaining Depth & Complexity ICONS in your notes and explain how they relate to this section.
