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(Day 1) Bellwork  8/20/2018

(Day 1) Bellwork  8/20/2018. Log on to IXL & complete one of the following levels based on your week2 quiz results.  (8.NS.A.1)( 1-4) decimals & fractions (8-D.4) (8.EE.A.2)( 5-8) squares (8-F.15) (8.EE.A.2 )(9-12) cubes (8-F.20) (8.NS.A.2)(13-20) Estimate square roots (8-F.16)

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(Day 1) Bellwork  8/20/2018

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  1. (Day 1) Bellwork 8/20/2018 Log on to IXL & complete one of the following levels based on your week2 quiz results.  • (8.NS.A.1)(1-4)decimals & fractions(8-D.4) • (8.EE.A.2)(5-8)squares (8-F.15) • (8.EE.A.2)(9-12)cubes (8-F.20) • (8.NS.A.2)(13-20)Estimate square roots (8-F.16) Didn’t miss any... (8.EE.A.1)Understanding exponents (8-F.1)

  2. Properties of Exponents • I can write numbers and expressions using exponents accurately 4/5 times • I can evaluate expressions with exponents accurately 4/5 times. 8.EE.A.1 Know and apply the properties of integer exponents to generate equivalent numerical expressions.

  3. OBJECTIVES: • Evaluate simple exponential expressions • Multiply monomials

  4. Vocabulary • Power- product of repeated factors (includes exponent and base) • Exponent- tells how many times the base is used as a factor • Base- common factor • Expanded Form • Exponential Form

  5. Exponential and Expanded Form We write numbers in exponential form when the same number is being multiplied repeatedly. Exponential Form BASEEXPONENT34 Expanded Form 3×3×3×3 1 2 3 4

  6. Change the following to either exponential or expanded form. • 23 • 7×7×7×7×7×7 • a2 • b×b×b×b

  7. Examples

  8. Example 2 Question: What is one aspect of this process that can be confusing? How can you prevent from making mistakes?

  9. Got it? P. 16

  10. Evaluating Powers • When we evaluate powers, we are actually finding an answer by repeated multiplication • Ex: = 12 x 12 = _______

  11. Evaluating powers examples p.17

  12. Evaluating expressions with exponents

  13. Evaluating expressions • Review: evaluate the expression if x=5                  20x substitute 5 for x    20 (5) =______

  14. Got it? P.18

  15. Properties of Exponents • When using exponents we have 6 basic properties: • Product Rule • Quotient Rule • Power Raised to a Power • Product Raised to a Power • Zero Exponent • Negative Exponents

  16. Vocabulary 

  17. The Product Rule-Multiplying Like Bases To multiply two numbers with the same base, add the exponents.  

  18. Examples

  19. Explanation using expanded form

  20. Let's try this one together...

  21. Try this one on your own...

  22. Sometimes the monomials include constants in addition to bases & exponents. Ex. 

  23. Try these on your own. Check answers with your partner. 

  24. Reflection: • How can I write numbers using exponents? • When could I use exponents in my daily life?

  25. CLEAR DESK & GET READY TO TAKE THE MCAP 

  26. Exit Ticket 8/20

  27. (Day 2) Bellwork 8/21/18 

  28. More Practice with the Product Rule

  29. The Quotient Rule- Dividing Like Bases To divide two numbers with the same base, subtract the exponents.   34 32

  30. What happens when you divide a number by itself?

  31. Explanation using expanded form

  32. What is the common base? EXPAND…

  33. Think-Pair-Share

  34. Solution

  35. Try this one on your own...

  36. Try this one on your own...

  37. Independent practice.

  38. Bellwork 8/22/18

  39. The Power rule Exponents Day 3!

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