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Academic/Career & Technical Related/Demonstration Lesson Plan Instructor Sara Haldi Program/Class Date Math 4 Period Blizzard Bag 1 2, 3 State Indicator/Competency: 1. 2. 3. 4. Extend the properties of exponents to rational exponents. Use the properties of exponents to transform expressions for exponential functions. Know and apply the properties of integer exponents to generate equivalent numerical expressions. Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Instructional Objective(s): 1.5c Properties of Exponents 1. Students will be able to write exponential expressions in expanded form with 80% accuracy. 2. Students will be able to use the properties of exponents (Zero Exponent, Negative Exponent) to simplify expressions involving exponents with 75% accuracy. 3. Students will be able to use the properties of exponents (Product of Powers, Quotient of Powers, Power of a Power, Power of a Product, Power of a Quotient) to simplify expressions involving exponents with 75% accuracy. 4. Students will be able to simplify expressions involving scientific notation with 80% accuracy. Student Materials: Blizzard Bag packet 1, pencil, calculator Method of Instruction: independent Activities: BLIZZARD BAG 1 WORKSHEET DUE in Two Weeks Exponential Form Base Writing Exponential Expressions in Expanded Form 1. Write each expression in expanded form a. b. c. d. Expanded Form A nonzero quantity raised to the zero power is equal to 1. ( ) A nonzero base raised to a negative exponent is equal to the reciprocal of the base raised to the opposite, positive exponent. ( ) ( ) Simplifying Expressions with Negative Exponents 2. Simplify each expression a. b. ( ) c. ( ) d. ( ) ( ) ( ) To multiply powers with the same base, add the exponents. To divide powers with the same base, subtract the exponents. To raise one power to another, multiply the exponents. To find the power of a product, apply the exponent to each factor. To find the power of a quotient, apply the exponent to the numerator and denominator. ( ) ( ) Using Properties of Exponents to Simplify Expressions 3. Simplify each expression. Assume all variables nonzero. a. b. ( ) c. d. Scientific Notation – a method of writing numbers by using powers of 10. A number takes the form , where and n is an integer. Scientific Notation Move the Decimal Right 7 places Left 7 places Standard Notation 12,750,000 0.00000035 Simplifying Expressions Involving Scientific Notation 4. Simplify each expression. Write the answer in scientific notation. a. ( ) ( ) b. Assessment: Worksheet Blizzard Bag 1 (10pts) Math 4: Haldi Name: _____________________________ Date: ____________ Period: ______ Blizzard Bag 1 SHOW ALL WORK FOR FULL CREDIT Write each expression in expanded form. 1. 1. ____________________________ 2. 2. ____________________________ 3. 3. ____________________________ Simplify each expression. 4. 4. ____________________________ 5. 5. ____________________________ ( ) 6. 7. 6. ____________________________ ( ) 7. ____________________________ Simplify each expression. Assume all variables are nonzero. 8. 8. ____________________________ 9. 9. ____________________________ 10. 10. ___________________________ 11. 11. ___________________________ Simplify each expression. Write the answer in scientific notation. 12. 12. ___________________________ 13. 13. ___________________________