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# Khan Academy and Orders of Magnitude

Lesson 9 of 22

## Objective: SWBAT to estimate a number and compute how many times larger or smaller one number is than another.

## Big Idea: Students need as many opportunities to practice and reflect as we can afford to give them.

*60 minutes*

#### Assessment Overview

*10 min*

This assessment can be done at home or in class. Either way, I ask students to prepare for the assignment by watching the video I created to help students.

This activity can be incredibly helpful if students slow down and take the time needed to think about what they are doing and *why* it makes sense.

Khan Academy is constantly changing its layout and its scoring system, but for this activity I would ask students to log in (optional) and work until their achieve mastery. This is a topic you need to discuss with students. "Mastery" in Khan Academy might mean something like getting 20 correct, but I want students to complete about 10 questions and only continue if they think they need more practice. I have had many students complain about Khan Academy. They get frustrated, because if they make a single mistake they need to basically start from the beginning. They find this discouraging. They kept working and working even when they understood the topic. They spent hours trying to get "mastery" and would give up if they hit the wrong button or number. Instead, they need to stop and reflect. They need to think, "do I need more practice?"

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#### The Assessment

*40 min*

There are currently 5 scientific notation exercise sets on Khan Academy. This assessment is much more difficult than previous assessment. It asks a nice variety of questions. This will help students reflect as they work. Because they assessment is so difficult, I would walk through a set with the class after they had a chance to watch the video and try a few. I would stop the class and project the problems for all to solve.

Remember that the assessment is formative and meant to help students improve in their algorithms for converting numbers into scientific notation.

The structure of the site is overwhelming to many students. To simplify the process, I have them log in to Khan Academy and then open a second tab and go straight to this link:

They could also go to the exercise dashboard and type in "orders of magnitude."

Last year I set this up in a series of assignments through my website:

This exercise is new and was not used last year, but I will use it in future assessment lessons.

**The key is to ask students a follow up question. The guidelines are as follows:**

1. Finish the Orders of Magnitude Exercise Until you reach "mastery"

2. As you work, write the questions and answers in your notebook

3. When you are finished, annotate your notes and explain some general observations you made as you worked.

4. Create solve and explain a challenge problem that would fit in this exercise group.

5. Answer this question and use examples to support your reasoning: This assignment always asked us to round to the nearest whole number. Give a question with a context that you make up. Solve the question by rounding the nearest whole number and then solve it by rounding to the nearest tenth. How many times larger is one answer than the other? Does this matter? Are both answers acceptable?

I usually ask for the parts 4 and 5 via email. Since all students have set me up as a coach I can easily monitor their progress after class. I circulate during class and help students by asking them reflective questions, like "when you move the decimal, what are you doing to the number?"

I collect the notes from at least 1 student who has mastered the topic and 1 who is struggling.

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#### Assessment Review

*10 min*

I finish this assessment by reviewing questions with the class. I log into Khan Academy and project for the whole class to see. I popcorn around the room and ask students to solve and explain. For each question I get at least 2 algorithms, since students love to hear other strategies. I have noticed that many students use one strategy throughout all the problems and are usually so tired of it by the end that they *crave* a more efficient strategy. I wait until the end to share all strategies because I believe that process of struggling helps them process the importance of a more efficient strategy. If we just shared at the start, I think many students would blindly plug in the more efficient strategy without understanding why or how it is efficient.

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- UNIT 1: Starting Right
- UNIT 2: Scale of the Universe: Making Sense of Numbers
- UNIT 3: Scale of the Universe: Fluency and Applications
- UNIT 4: Chrome in the Classroom
- UNIT 5: Lines, Angles, and Algebraic Reasoning
- UNIT 6: Math Exploratorium
- UNIT 7: A Year in Review
- UNIT 8: Linear Regression
- UNIT 9: Sets, Subsets and the Universe
- UNIT 10: Probability
- UNIT 11: Law and Order: Special Exponents Unit
- UNIT 12: Gimme the Base: More with Exponents
- UNIT 13: Statistical Spirals
- UNIT 14: Algebra Spirals

- LESSON 1: Units and Vast Systems of Measurement
- LESSON 2: Adding and Subtracting in Scientific Notation
- LESSON 3: Mad Libs and Math Libs
- LESSON 4: Yuck! Word Problems...
- LESSON 5: The World of Microns
- LESSON 6: 100 People: An Assessment
- LESSON 7: Khan Academy and Scientific Notation Intuition
- LESSON 8: Khan Academy and Scientific Notation Conversions
- LESSON 9: Khan Academy and Orders of Magnitude
- LESSON 10: Khan Academy and Multiplying and Dividing with Scientific Notation
- LESSON 11: Khan Academy and Computations in Scientific Notation
- LESSON 12: Khan Academy Patterns in Zeros
- LESSON 13: Delta Math and Scientific Notation
- LESSON 14: Video Quiz (Alternative Assessment)
- LESSON 15: How far is that?
- LESSON 16: Long Distance Relationships Project
- LESSON 17: Long Distance Relationship Follow Up
- LESSON 18: How big is that?
- LESSON 19: The Universcale (A Project)
- LESSON 20: Universcale Project Follow Up
- LESSON 21: The Digital Scientific Notation Worksheet
- LESSON 22: The Cost of the Death Star