November 19 th Solve the following: 3 3 5 2 7 4. - Exponents & the Order of Operations - Approximately November 19 th to December 3rd.

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Presentation transcript:

November 19 th Solve the following:

- Exponents & the Order of Operations - Approximately November 19 th to December 3rd

This unit will help you develop an understanding of exponents, the power laws, and the importance of a standardized order of operations for when solving equations. We will learn how to work with: - Powers/Exponents - The Order of Operations

Powers -A numerical expression written as: -a x -a = the base -x = the exponent

Powers -A power is showing us a product of equal factors (ex) 2 x 2 x 2

Powers (ex) (-2) 3 = (-2) x (-2) x (-2) (ex) –(2 3 ) = -(2 x 2 x 2) (ex) –2 3 = -(2 x 2 x 2)

Powers In your table groups, create an informational poster summarizing 1 of the 6 laws we will learn about in this unit. Your poster needs to have: -Title- Clear example -Explanation in your own words - One practice question (answer on back)

November 20 Solve the following: (4+3) 4

November 25 th -Next hand-in day is November 26 th – Solve the following & state what rule you use to do so: (4 3 ) ÷ 7 1 (4 x 3) 4

On Wednesday, we spent more time reviewing: -Power of a Power -Power of a Product -Quotient of a Power Today you will have an opportunity to practice these rules through different options. This is to be handed in at the end of today’s class.

November 26 th -Hand-In Day! – Solve the following & state what rule you use to do so: (2 x 1) ÷ 5 7 (4 2 ) 4

November 27 th -Your next hand-in day is Wednesday, Dec 4th – Solve the following & state what rule you use to do so: ÷ 54 1 (2 ÷ 4) 3 (9 2 ) 3

We have now reviewed our remaining 3 Power Laws: -Zero Exponent Law -Power of a Quotient -Product of Powers Today you will have an opportunity to practice these rules through different options. This is to be handed in at the end of today’s class.

December 2nd -Your next hand-in day is Wednesday, Dec 4th – Solve the following & state what rule you use to do so: (4 2 ) 8 (6x2) ÷ (5÷2) x 3 4

Powers (ex) (-2) 3 = (-2) x (-2) x (-2) (ex) –(2 3 ) = -(2 x 2 x 2) (ex) –2 3 = -(2 x 2 x 2)

Using the provided template, create an entry in your interactive notebook summarizing The Six Power Laws. You need: -to explain the law in words -explain the law with an example

December 3 rd -Your next hand-in day is Wednesday, Dec 4th – Solve the following: (-5) 3 -(5)

December 4 th -Hand-In Day, pick a M.M from November 27 th to December 4 th – Solve the following: (-2) 0 -(7)

December 9 th -Next hand-in day will be Wednesday, Dec 18 th – Solve the following equation while showing ALL your steps: (6 2 x 6 2 ) Remember your rules & B.E.D.M.A.S

December 9 th -Next hand-in day will be Wednesday, Dec 18 th – Solve the following equation while showing ALL your steps: 4 0 +[(-4) 2 x (-4) 2 ] Remember your rules & B.E.D.M.A.S

December 10 th -Next hand-in day will be Wednesday, Dec 18 th – Solve the following equation while showing ALL your steps: (-8) 3 + (7 3 x 7 3 ) Remember your rules & B.E.D.M.A.S

December 16 th -Next hand-in day will be Wednesday, Dec 18 th – Solve the following, remember your Power Laws and show ALL your steps: a)(-5) 5 b)-8 0 c)

December 17 th -Next hand-in day will be Wednesday, Dec 18 th – Identify, then correct any errors in the work shown. (3 2 x 3 3 ) 2 = (3 2x3 ) 2 = (3 6 ) 2 = = 3 8 = 6561

December 18 th -Hand-In Day!! December 4 th – 18 th – Solve the following, show ALL your steps: (4 3 ) 2 2 6

Powers (-7) 2 x (-7) 4 Product of Powers

Powers 5 4 ÷ 5 2 Quotient of Powers

Powers (2x3) 4 Power of a Product

Powers (3 4 ) 2 Power of a Power

Powers 9090 Zero Exponent Law

Powers (4 ÷ 5) 3 Power of a Quotient

January 7 th -Your next hand-in day will be Monday, January 13 th – List the 6 Power Laws and write an example question that would fit each.