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Bell Work 8/25/14

Bell Work 8/25/14. Evaluate the expression. 10/15/2014. Powers and Exponents. Roots & Irrational Numbers. TSWBAT: evaluate an expression that has an exponent. TSWBAT: find the root of a number.

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Bell Work 8/25/14

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  1. Bell Work 8/25/14 • Evaluate the expression.

  2. 10/15/2014 • Powers and Exponents • Roots & Irrational Numbers • TSWBAT: evaluate an expression that has an exponent. • TSWBAT: find the root of a number. • Students understand and use such operations as taking the opposite, finding the reciprocal, taking a root, and raising to a fractional power. They understand and use the rules of exponents.

  3. Warm-Up • Simplify the expression.

  4. Notes • Definitions • - Power • = an expression written with a base and an exponent. • Ex. • Ex. • base • exponent • - Base • = the number that is used as a factor. • - Exponent • = tells how many times the base is going to be a factor.

  5. Notes • Simplify each expression. • Ex. • Ex. • Ex. • Now you try. • Ex. • Ex. • Ex.

  6. Notes • Simplify each expression. • Ex. • Ex. • Ex. • Now you try. • Ex. • Ex. • Ex.

  7. Notes • Compare with <, >, or =. • Ex. • Ex. • Now you try. • Ex. • Ex.

  8. Notes • Definitions • - Radicand • = The number inside of the square root symbol. • Ex. • = The radicand is 9. • - Square Root • = What number times itself equals the radicand. • Ex. • - Perfect Square • = a number whose square root is a whole number. • Ex.

  9. Notes • Make a table. Find the square root. • Ex. • Positive Root • Ex. • Negative Root • Ex. • Positive & Negative Root • Ex. • No real number times ITSELF is negative.

  10. Notes • Find each root. • Ex. • Ex. • Ex. • Now you try. • Ex. • Ex. • Ex.

  11. Notes • Find each root. • Ex. • Ex. • Now you try. • Ex. • Ex.

  12. Notes • Cube Root • = What number times itself 3 times equals the radicand. • Make a table. Find the cube root. • Ex. • Ex. • Ex. • Now you try. • Ex. • Ex. • Ex.

  13. Notes • Find each root. • Ex. • Ex. • Now you try. • Ex. • Ex.

  14. Summary • To find the square root of a number just figure out which number times _____ equals the radicand. If it is a fraction, just find the square root of the top and _______ separately. If it is a _____ root do the same thing except find the number that times itself three times equals the _________. • itself • cube • bottom • radicand • A power is an expression that has an _________. The base is the factor, and the exponent tells you how many _______there are. To solve a power, just write down the base as many times as the exponent says, then ________. • exponent • factors • multiply

  15. Homework • Simplify.

  16. Today’s Homework • Rules for Homework • Pencil ONLY. • Must show all of your work. • NO WORK = NO CREDIT • Must attempt EVERY problem. • Always check your answers.

  17. Today’s Homework • Rules for Homework • Pencil ONLY. • Must show all of your work. • NO WORK = NO CREDIT • Must attempt EVERY problem. • Always check your answers.

  18. Ticket Out the Door • Complete the Ticket Out the Door without talking!!!!! • Talking = time after the bell! • Put your NAME on the paper. • When finished, turn your paper face DOWN. • Evaluate the expression. • Find the root.

  19. Class Work • Evaluate the expression. • Compare with <, >, or =.

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