Today is Tuesday, August 16 Good Morning, Cougars Today is Tuesday, August 16 ∎ Please get out your math notebook and go to the page where we left off yesterday Please make sure your phones are off or on silent and your backpack is on the floor out of the aisle.

Good Morning, H.S. Class of ‘21 Today is Tuesday, August 16 ∎ Please get out your math notebook and a pencil or pen. Today we will continue with our Lesson 2.1 on integer exponents Please turn your notebooks to the page we left off yesterday Please make sure your phones are off or on silent and your backpack is on the floor out of the aisle.

First & Last Name MATH 8 Period ____ Mr. Pogan/Room 312 ∎ First & Last Name MATH 8 Period ____ Mr. Pogan/Room 312 Write this on the INSIDE COVER of your notebook

FIRST PAGE – TABLE OF CONTENTS ∎ TABLE OF CONTENTS Lesson # Title Book Page # 2.1 Integer Exponents 33 Write this on the FIRST PAGE of your notebook

Taking notes – Setting up CORNELL notes ∎ LESSON NUMBER Lesson Title E.Q. Write the ESSENTIAL QUESTION here Questions Notes Summary

Taking notes – Setting up CORNELL notes ∎ LESSON 2.1 Integer Exponents How can you develop and use properties of integer exponents? E.Q. Questions Notes Summary

3 2 𝑩𝑨𝑺𝑬 𝑻𝒉𝒆 𝒆𝒙𝒑𝒐𝒏𝒆𝒏𝒕 𝒕𝒆𝒍𝒍𝒔 𝒉𝒐𝒘 𝒎𝒂𝒏𝒚 𝒕𝒊𝒎𝒆𝒔 𝒕𝒉𝒆 EQ: How can you develop and use properties of integer exponents? ∎ 𝑷𝒂𝒓𝒕𝒔 𝒐𝒇 𝒂𝒏 𝒆𝒙𝒑𝒐𝒏𝒆𝒏𝒕𝒊𝒂𝒍 𝒆𝒙𝒑𝒓𝒆𝒔𝒔𝒊𝒐𝒏: 𝑬𝑿𝑷𝑶𝑵𝑬𝑵𝑻 3 2 𝑩𝑨𝑺𝑬 𝑻𝒉𝒆 𝒆𝒙𝒑𝒐𝒏𝒆𝒏𝒕 𝒕𝒆𝒍𝒍𝒔 𝒉𝒐𝒘 𝒎𝒂𝒏𝒚 𝒕𝒊𝒎𝒆𝒔 𝒕𝒉𝒆 𝑩𝑨𝑺𝑬 𝒊𝒔 𝒖𝒔𝒆𝒅 𝒂𝒔 𝒂 𝒇𝒂𝒄𝒕𝒐𝒓 A “factor” is a number that is used to multiply

3 2 3 2 𝑚𝑒𝑎𝑛𝑠 3∙3 3 2 =3∙3=9 3 2 𝑑𝑜𝑒𝑠 𝑵𝑶𝑻 𝑚𝑒𝑎𝑛 3∙2 3 2 ≠3∙2=6 𝑩𝑨𝑺𝑬 𝑬𝑿𝑷𝑶𝑵𝑬𝑵𝑻 ∎ 3 2 𝑩𝑨𝑺𝑬 𝑻𝒉𝒆 𝒆𝒙𝒑𝒐𝒏𝒆𝒏𝒕 𝒕𝒆𝒍𝒍𝒔 𝒉𝒐𝒘 𝒎𝒂𝒏𝒚 𝒕𝒊𝒎𝒆𝒔 𝒕𝒉𝒆 𝑩𝑨𝑺𝑬 𝒊𝒔 𝒖𝒔𝒆𝒅 𝒂𝒔 𝒂 𝒇𝒂𝒄𝒕𝒐𝒓 3 2 𝑚𝑒𝑎𝑛𝑠 3∙3 3 2 =3∙3=9 3 2 𝑑𝑜𝑒𝑠 𝑵𝑶𝑻 𝑚𝑒𝑎𝑛 3∙2 3 2 ≠3∙2=6 𝒘𝒓𝒐𝒏𝒈!

∎ 𝐄𝐱𝐚𝐦𝐩𝐥𝐞𝐬: 𝟑 𝟐 = 𝟑∙𝟑 = 𝟗 𝟓 𝟐 = 𝟓∙𝟓 = 𝟐𝟓 𝟗 𝟐 = 𝟗∙𝟗 = 𝟖𝟏 𝟏𝟐 𝟐 = 𝟏𝟐∙𝟏𝟐 = 𝟏𝟒𝟒

𝑻𝒓𝒚 𝒕𝒉𝒆𝒔𝒆 𝒐𝒏 𝒚𝒐𝒖𝒓 𝒐𝒘𝒏. 𝑾𝒉𝒆𝒏 𝒚𝒐𝒖 𝑨𝑵𝑫 𝒚𝒐𝒖𝒓 𝒑𝒂𝒓𝒕𝒏𝒆𝒓 𝒂𝒓𝒆 𝒅𝒐𝒏𝒆, 𝒄𝒐𝒎𝒑𝒂𝒓𝒆 𝒂𝒏𝒔𝒘𝒆𝒓𝒔: ∎ 𝟒 𝟐 = 𝟒∙𝟒 = 𝟏𝟔 𝟖 𝟐 = 𝟖∙𝟖 = 𝟔𝟒 𝟏 𝟐 = 𝟏∙𝟏 = 𝟏 𝟏𝟏 𝟐 = 𝟏𝟏∙𝟏𝟏 = 𝟏𝟐𝟏

𝒙 𝟐 𝒙 𝟑 Means 𝒙 squared, or 𝒙 to the second power Means 𝒙 cubed, or 𝑵𝒐𝒕 𝒂𝒍𝒍 𝒆𝒙𝒑𝒐𝒏𝒆𝒏𝒕𝒔 𝒂𝒓𝒆 "𝟐" ∎ 𝒙 𝟐 Means 𝒙 squared, or 𝒙 to the second power 𝒙 𝟑 Means 𝒙 cubed, or 𝒙 to the third power For any exponent higher than 3, just say 𝒙 𝟒 is 𝒙 to the fourth power, etc.

𝑬𝒙𝒂𝒎𝒑𝒍𝒆𝒔 ∎ 𝟐 𝟑 = 𝟐∙𝟐∙𝟐 ↓ ↓ ↓ 𝟒∙ 𝟐 = 𝟖 𝟑 𝟒 = 𝟑∙𝟑∙𝟑∙𝟑 ↓ ↓ ↓ ↓ 𝟗 ∙ 𝟗 = 𝟖𝟏

𝑻𝒓𝒚 𝒕𝒉𝒆𝒔𝒆 𝒐𝒏 𝒚𝒐𝒖𝒓 𝒐𝒘𝒏. 𝑾𝒉𝒆𝒏 𝒚𝒐𝒖 𝑨𝑵𝑫 𝒚𝒐𝒖𝒓 𝒑𝒂𝒓𝒕𝒏𝒆𝒓 𝒂𝒓𝒆 𝒅𝒐𝒏𝒆, 𝒄𝒐𝒎𝒑𝒂𝒓𝒆 𝒂𝒏𝒔𝒘𝒆𝒓𝒔: ∎ 𝟒 𝟒 = 𝟒∙𝟒∙𝟒∙𝟒 ↓ ↓ ↓ ↓ 𝟏𝟔 ∙ 𝟏𝟔 = 𝟐𝟓𝟔 𝟐 𝟓 = 𝟐∙𝟐∙𝟐∙𝟐∙𝟐 ↓ ↓ ↓ ↓ ↓ 𝟒 ∙ 𝟒 ∙ 𝟐 ↓ ↓ ↓ 𝟏𝟔 ∙ 𝟐 = 𝟑𝟐

Please get out a blank sheet of lined paper for QUIZ #8-16 ANY QUESTIONS? ∎ Please get out a blank sheet of lined paper for QUIZ #8-16 Everything else should be off of your desk and lap

HOW TO SET UP YOUR QUIZ PAPER ∎ First & Last Name Today’s Date QUIZ #8-16 PERIOD

QUIZ #8-16 𝟏. 𝟕 𝟐 = 𝟐. 𝟔 𝟐 = 𝟑. 𝟑 𝟑 = 𝟒. 𝟐 𝟔 = Per. 1 Please circle or ∎ 𝟏. 𝟕 𝟐 = Please circle or box your answers 𝟐. 𝟔 𝟐 = 𝟑. 𝟑 𝟑 = NO TALKING! EYES ON YOUR OWN PAPER! 𝟒. 𝟐 𝟔 = When you finish, please put your paper in the tray up front and return quietly to your seat

QUIZ #8-16 𝟏. 𝟔 𝟐 = 𝟐. 𝟑 𝟑 = 𝟑. 𝟐 𝟔 = 𝟒. 𝟕 𝟐 = Per. 3 Please circle or ∎ Please circle or box your answers 𝟏. 𝟔 𝟐 = 𝟐. 𝟑 𝟑 = 𝟑. 𝟐 𝟔 = NO TALKING! EYES ON YOUR OWN PAPER! 𝟒. 𝟕 𝟐 = When you finish, please put your paper in the tray up front and return quietly to your seat

QUIZ #8-16 𝟏. 𝟑 𝟑 = 𝟐. 𝟐 𝟔 = 𝟑. 𝟕 𝟐 = 𝟒. 𝟔 𝟐 = Per. 4 Please circle or ∎ 𝟏. 𝟑 𝟑 = Please circle or box your answers 𝟐. 𝟐 𝟔 = 𝟑. 𝟕 𝟐 = NO TALKING! EYES ON YOUR OWN PAPER! 𝟒. 𝟔 𝟐 = When you finish, please put your paper in the tray up front and return quietly to your seat

QUIZ #8-16 𝟏. 𝟐 𝟔 = 𝟐. 𝟕 𝟐 = 𝟑. 𝟔 𝟐 = 𝟒. 𝟑 𝟑 = Per. 5 Please circle or ∎ 𝟏. 𝟐 𝟔 = Please circle or box your answers 𝟐. 𝟕 𝟐 = 𝟑. 𝟔 𝟐 = NO TALKING! EYES ON YOUR OWN PAPER! 𝟒. 𝟑 𝟑 = When you finish, please put your paper in the tray up front and return quietly to your seat

QUIZ #8-16 𝟏. 𝟐 𝟔 = 𝟐. 𝟑 𝟑 = 𝟑. 𝟔 𝟐 = 𝟒. 𝟕 𝟐 = Per. 5 Please circle or ∎ 𝟏. 𝟐 𝟔 = Please circle or box your answers 𝟐. 𝟑 𝟑 = 𝟑. 𝟔 𝟐 = NO TALKING! EYES ON YOUR OWN PAPER! 𝟒. 𝟕 𝟐 = When you finish, please put your paper in the tray up front and return quietly to your seat

𝑷𝒂𝒈𝒆 𝟑𝟑 ∎

𝑨 𝒏𝒆𝒈𝒂𝒕𝒊𝒗𝒆 𝒆𝒙𝒑𝒐𝒏𝒆𝒏𝒕 𝒅𝒐𝒆𝒔 𝑵𝑶𝑻 𝒎𝒆𝒂𝒏 𝒂 𝐍𝐄𝐆𝐀𝐓𝐈𝐕𝐄 𝐧𝐮𝐦𝐛𝐞𝐫 ∎ 𝑨 𝒏𝒆𝒈𝒂𝒕𝒊𝒗𝒆 𝒆𝒙𝒑𝒐𝒏𝒆𝒏𝒕 𝒅𝒐𝒆𝒔 𝑵𝑶𝑻 𝒎𝒆𝒂𝒏 𝒂 𝐍𝐄𝐆𝐀𝐓𝐈𝐕𝐄 𝐧𝐮𝐦𝐛𝐞𝐫 𝑨 𝒏𝒆𝒈𝒂𝒕𝒊𝒗𝒆 𝒆𝒙𝒑𝒐𝒏𝒆𝒏𝒕 𝒅𝒐𝒆𝒔 𝒎𝒆𝒂𝒏 𝒕𝒉𝒆 𝒏𝒖𝒎𝒃𝒆𝒓 𝒊𝒔 𝒂 𝐅𝐑𝐀𝐂𝐓𝐈𝐎𝐍

∎ 𝟑 𝟐 = 𝟑∙𝟑= 𝟗 𝟏 𝟑 𝟐 = 𝟏 𝟑 ∙ 𝟏 𝟑 = 𝟏 𝟗 𝟑 −𝟐 = 𝟒 𝟐 = 𝟒∙𝟒= 𝟏𝟔 𝟏 𝟒 𝟐 = 𝟏 𝟒 ∙ 𝟏 𝟒 = 𝟏 𝟏𝟔 𝟒 −𝟐 =

∎∎ 𝟐 𝟑 = 𝟐∙𝟐∙𝟐= 𝟖 𝟏 𝟐 𝟑 = 𝟏 𝟐 ∙ 𝟏 𝟐 ∙ 𝟏 𝟐 = 𝟏 𝟖 𝟐 −𝟑 = 𝟑 𝟒 = 𝟑∙𝟑∙𝟑∙𝟑= 𝟖𝟏 𝟏 𝟑 𝟒 = 𝟏 𝟑 ∙ 𝟏 𝟑 ∙ 𝟏 𝟑 ∙ 𝟏 𝟑 = 𝟏 𝟖𝟏 𝟑 −𝟒 =

Copy these terms and simplify: To Be Continued………… ∎ Homework tonight: Copy these terms and simplify: 𝟓 −𝟐 = 𝟒 −𝟑 = 𝟐 −𝟓 = 𝟔 −𝟐 = 𝟗 −𝟑 =

∎ 𝟓 −𝟐 = 𝟏 𝟐𝟓 2. 𝟒 −𝟑 = 𝟏 𝟔𝟒 3. 𝟐 −𝟓 = 𝟏 𝟑𝟐 4. 𝟔 −𝟐 = 𝟏 𝟑𝟔 5. 𝟗 −𝟑 = 𝟏 𝟕𝟐𝟗