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.