# SUCCEED

Lesson Plan
Shodor > SUCCEED > Curriculum > Apprentices > Lesson Plan

## Middle / High School

### Concepts

#### Lesson Abstract

Students are challenged to think about how they know what they know. Scientific knowledge must be qualified by a consideration of to what certainty the information is known. This lesson is a foundation for all other classes in our curriculum. We recommend that teachers incorporate these concepts in other lessons.

Students given a list of terms that are used in analyzing scientific evidence and making connections between observations and hypotheses. Through conversation and interactive examples and activities, the students should gain an understanding about scientific research which they can apply in many situations.

• Not applicable

#### Objectives

• Discuss scientific terms
• See demonstrations of the concepts they are learning
• Understand the significance of these concepts as they relate to current events in science.

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### Prerequisite Knowledge

Students should be at a level of educational development where they can discuss and learn these new terms. A middle school or high school class should be able to understand these concepts. Pattern recognition and confidence with reading English is helpful for many of the examples. Familiarity with the basic mathematical concepts from geometry will also be useful.

### Teacher Preparation

Teacher should review the terms and make sure he or she has a good understanding of the scientific use of the terms.

The concepts should be paired up with examples and activities. There is a large selection of possible activities, so the teacher should decide what activities to do according to the amount of time available and the concepts the teacher wants to emphasize.

### Materials

 Required Materials Media Equipment Depends on which activities the teacher chooses Not applicable Computer with Internet access, 1 or 2 students per machineComputer and data projector

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### Presentation Outline

#### Introduction

5 minutes

• Ask the students how people know what they know. How do scientists make their discoveries? (Observation) What kinds of tests do they have to run in order to prove something true? What are some obstacles that could make information less reliable?
• Talk about pattern recognition. http://www.shodor.org/talks/ncsi/
• Give the students the concept sheet.

#### Exploration

0 minutes

• Not applicable.

#### Physical Modeling and Measurement

35 minutes

• Necessary / Sufficient
• A condition can be necessary for your assumption to be true, but it may not be sufficient to prove that it is in fact true.
• Multiplication: For a number to be divisible by 4, it is necessary for that number to be even, but evenness is not sufficient to prove that the number is divisible by 4.
• Addition: When you add two positive integers greater than zero, it is necessary that the resulting number is greater than either original numbers. However, just because the sum is greater is not sufficient to say you have the right answer. However, if the sum is smaller, it is sufficient to say you have the wrong answer.
• Multiplying Fractions: When you multiply two proper fractions together, it is necessary that the resulting number is smaller than either of the original fractions. In fact, the resulting number is only "some of" the smaller fraction, so it must be smaller than the smaller fraction.
• Activity: Water Jar Activity
• Consistent / Conclusive
• A condition can be consistent with the observed situation, but it may not be conclusive evidence that it is the cause of the observation.
• Life Example: Your little brother running around may be consistent with the broken lamp, but it may not be conclusive evidence that he was the only possible cause for the breakage.
• Example: There is evidence that people who drink more coffee get less sleep. Coffee drinking is thus consistent with lack of sleep. However, people could be drinking more coffee because they need to stay up anyway, so the evidence is not conclusive to prove that coffee drinking keeps people awake.
• In the News: A scientific finding is not "proof" of something, but evidence that was found to be consistent with the observation.
• Uncertainty / Certainty
• Observations always come with a certain level of uncertainty. When analyzing your evidence, you must take this uncertainty into account. When you give evidence of something, you know it to a reasonable level of scientific certainty.
• Ambiguity: Uncertainty can arise from information that is not completely clear.
• 3 + 2 * 6 ... answer could be 15 or 30 depending on the order in which you do the calculations. Parentheses take away ambiguity.
• "Count from ten to one backwards." ... Ambiguous statement, could mean to count "1, 2, 3, 4..." or to count "net, enin, thgie, neves..." or to turn around and count "10, 9, 8, 7...".
• Randomness: Uncertainty can arise from factors that affect your results and cause random variations.
• Spin a coin on a desk, try to get the coin to hit an object at the end of the desk. Use the same set of steps to spin the coin, and observe the direction the coin goes. It won't always spin the same way due to variations you can't measure.
• Systematic Error: Uncertainty can arise from the architecture you are using for your calculations. Even if your algorithm is correct, you can end up with round off error.
• Excel Round-off Activity
• Definition
• Sometimes you know something is true because it is defined to be so.
• Geometry:
• How many angles does a triangle have? 3. How do you know? That's the definition of a tri-angle.
• How many degrees are there in a circle? 360. How do you know? That's the definition of a degree and a circle.
• Convention
• Sometimes you know something is true because people have agreed to do things a certain way.
• Convention can reduce uncertainty by ensuring a consistent way of doing things.
• Order of Operations: We know that 3 + 2 * 6 should be 15 because we have defined that multiplication is done before addition.
• Algorithm: When a particular set of steps is followed every time in the absence of randomness, you will have the same answer.
• Deterministic Card Tricks
• Construction
• Sometimes you know something is true because you can actually build or "construct" something that proves it's true.
• Geometry: How do you know that all of the angles of a triangle add up to make a straight line (180 degrees)? You can cut up the triangle and put the angles next to each other. Or, you can use the Triangle Sum of Angles Activity.
• Measurement
• Sometimes you know something is true because you can measure the results.
• Geometry: How do you know that all of the angles of a triangle add up to make a straight line (180 degrees)? You can measure the angles and add them together.
• Evidence
• When you find something that is consistent with your observations, it can be called evidence.
• This can be related back to the consistent / conclusive argument.
• Proof
• When you have conclusive evidence, it can be considered proof that your hypothesis is true.
• The word proof is often used incorrectly when people think it is synonymous with evidence.
• It is easier to give a proof for something in mathematics, through measurement, construction, and convention. In science there is the challenge of uncertainty.

#### Computational Modeling

0 minutes

• Not applicable.

#### Conclusion

5 minutes

Talk with students about the sources they use for information

• Ask them to use Google to find these values:
• The boiling point of radium
• The mass of the earth