**Lesson 1: Exponential Notation**

Student Outcomes

Students know what it means for a number to be raised to a power and how to represent the repeated

multiplication symbolically.

Students know the reason for some bases requiring parentheses.

**View this video on exponents:**

http://www.khanacademy.org/math/arithmetic/exponents-radicals/world-of-exponents/v/introduction-to-exponents

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**Lesson 2: Multiplication of Numbers in Exponential Form**

Student Outcomes

Students use the definition of exponential notation to make sense of the first law of exponents.

Students see a rule for simplifying exponential expressions involving division as a consequence of the first law

of exponents.

Students write equivalent numerical and symbolic expressions using the first law of exponents.

**View these videos for help on this lesson:**

http://www.youtube.com/watch?v=Buujgb12rPI&list=PL16DEDA7C66C8B23E

http://www.youtube.com/watch?v=A6bydQBbPzs

http://www.youtube.com/watch?v=mQSBSpyo1cs

*******************************************************************************

**Lesson 3: Numbers in Exponential Form Raised to a Power**

Student Outcomes

Students will know how to take powers of powers. Students will know that when a product is raised to a

power, each factor of the product is raised to that power.

Students will write simplified, equivalent numeric and symbolic expressions using this new knowledge of

powers.

**View this video to help with this lesson!!**

http://www.youtube.com/watch?v=T5t4ZD-wxJA&app=desktop

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**Lesson 4: Numbers Raised to the Zeroth Power**

Student Outcomes

Students know that a number raised to the zeroth power is equal to one.

Students recognize the need for the definition to preserve the properties of exponents.

**A video to help you with this concept:**

https://www.khanacademy.org/math/arithmetic/exponents-radicals/negative-exponents-tutorial/v/zero--negative--and-fractional-exponents

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**Lesson 5: Negative Exponents and the Laws of Exponents**

Student Outcomes

Students know the definition of a number raised to a negative exponent.

Students simplify and write equivalent expressions that contain negative exponents.

http://learnzillion.com/lessons/176-simplify-expressions-with-0-and-negative-exponents-part-1

http://learnzillion.com/lessons/177-simplify-expressions-with-0-and-negative-exponents-part-2

****************************************************************************************************

Students know the definition of a number raised to a negative exponent.

Students simplify and write equivalent expressions that contain negative exponents.

**Watch these videos to help you with this lesson!**http://learnzillion.com/lessons/176-simplify-expressions-with-0-and-negative-exponents-part-1

http://learnzillion.com/lessons/177-simplify-expressions-with-0-and-negative-exponents-part-2

****************************************************************************************************

Lesson 6: Proofs of Laws of Exponents

Student Outcomes

Students base symbolic proofs on concrete examples to show that (𝑥 ) = 𝑥 is valid for all integer exponents.

Students base symbolic proofs on concrete examples to show that (𝑥 ) = 𝑥 is valid for all integer exponents.

Students extend the previous laws of exponents to include all integer exponents.

Here is a video for you to see!!

www.youtube.com/watch?v=KFm1rup4hkI

********************************************************************************* Lesson 7: Magnitude

www.youtube.com/watch?v=KFm1rup4hkI

********************************************************************************* Lesson 7: Magnitude

Student Outcomes

Students know that positive powers of 10 are very large numbers, and negative powers of 10 are very small numbers.

Students know that the exponent of an expression provides information about the magnitude of a number.

http://www.khan-academy.org/math/arithmetic/exponents-radicals/orders-of-magnitude/v/orders-of-magnitude-exercise-example-1

http://www.khanacademy.org/math/arithmetic/exponents-radicals/orders-of-magnitude/v/orders-of-magnitude-exercise-example-2

****************************************************************************************************Lesson 8: Estimating Quantities

Student Outcomes

Students compare and estimate quantities in the form of a single digit times a power of 10.

Students use their knowledge of ratios, fractions, and laws of exponents to simplify expressions.

http://learnzillion.com/lessons/1293-multiply-numbers-in-scientific-notation

http://learnzillion.com/lessons/1302-use-scientific-notation-to-estimate-products

http://learnzillion.com/lessons/1313-divide-numbers-in-scientific-notation

http://learnzillion.com/lessons/1327-use-scientific-notation-to-estimate-quotients

*********************************************************************************

Students know that positive powers of 10 are very large numbers, and negative powers of 10 are very small numbers.

Students know that the exponent of an expression provides information about the magnitude of a number.

**Watch these videos to help you:**http://www.khan-academy.org/math/arithmetic/exponents-radicals/orders-of-magnitude/v/orders-of-magnitude-exercise-example-1

http://www.khanacademy.org/math/arithmetic/exponents-radicals/orders-of-magnitude/v/orders-of-magnitude-exercise-example-2

****************************************************************************************************Lesson 8: Estimating Quantities

Student Outcomes

Students compare and estimate quantities in the form of a single digit times a power of 10.

Students use their knowledge of ratios, fractions, and laws of exponents to simplify expressions.

**Watch these videos to help you:**http://learnzillion.com/lessons/1293-multiply-numbers-in-scientific-notation

http://learnzillion.com/lessons/1302-use-scientific-notation-to-estimate-products

http://learnzillion.com/lessons/1313-divide-numbers-in-scientific-notation

http://learnzillion.com/lessons/1327-use-scientific-notation-to-estimate-quotients

*********************************************************************************

Lesson 9: Scientific Notation

Student Outcomes

Students write, add and subtract numbers in scientific notation and understand what is meant by the term leading digit.

http://youtu.be/GWtNr-9-rVI

http://www.showme.com/sh/?h=W2mqpbU

********************************************************************************

Student Outcomes

Students write, add and subtract numbers in scientific notation and understand what is meant by the term leading digit.

**Watch this video to help you:**http://youtu.be/GWtNr-9-rVI

http://www.showme.com/sh/?h=W2mqpbU

********************************************************************************

Lesson 10: Operations with Numbers in Scientific Notation

Student Outcomes

Students practice operations with numbers expressed in scientific notation and standard notation.

A video to help you:

http://youtu.be/MxnBK3uIcNA

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Lesson 11: Efficacy of the Scientific Notation

Student Outcomes

Students continue to practice working with very small and very large numbers expressed in scientific notation.

Students read, write, and perform operations on numbers expressed in scientific notation.

A video to help with this concept:

http://youtu.be/ebWE9Po9cBU

This video will help you with this lesson:

http://youtu.be/MNAQWSJveBo

Student Outcomes

Students practice operations with numbers expressed in scientific notation and standard notation.

A video to help you:

http://youtu.be/MxnBK3uIcNA

********************************************************************************

Lesson 11: Efficacy of the Scientific Notation

Student Outcomes

Students continue to practice working with very small and very large numbers expressed in scientific notation.

Students read, write, and perform operations on numbers expressed in scientific notation.

A video to help with this concept:

http://youtu.be/ebWE9Po9cBU

Lesson 12: Choice of Unit

Student Outcomes

Students understand how choice of unit determines how easy or difficult it is to understand an expression of measurement.

Students determine appropriate units for various measurements and rewrite measurements based on new units.

*************************************************************************************************

Student Outcomes

Students understand how choice of unit determines how easy or difficult it is to understand an expression of measurement.

Students determine appropriate units for various measurements and rewrite measurements based on new units.

*************************************************************************************************

Lesson 13: Comparison of Numbers Written in Scientific
Notation and Interpreting Scientific Notation Using
Technology

Student Outcomes

Students compare numbers expressed in scientific notation.

Students apply the laws of exponents to interpret data and use technology to compute with very large numbers.

Student Outcomes

Students compare numbers expressed in scientific notation.

Students apply the laws of exponents to interpret data and use technology to compute with very large numbers.

http://youtu.be/MNAQWSJveBo

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