Math Module 1: Support for Parents and Students

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
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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. 

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
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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 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
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. 
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
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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. 
Watch this video to help you:
http://youtu.be/GWtNr-9-rVI
http://www.showme.com/sh/?h=W2mqpbU
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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


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. 
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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. 
This video will help you with this lesson:
http://youtu.be/MNAQWSJveBo
















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