Integer Exponents

1. Integer Exponents We are learning to…simplify expressions that contain both positive and negative exponents. Friday, August 8, 2014

2. Vocabulary “Base” (the Big number) “Exponent” “Write the expressions below in standard form with your teammates. Be ready to share your results with the class.” Tell us how many times to multiply the base by itself!

3. Make a prediction… • With your team…predict what is when written in standard form. • Justify your solution using mathematical reasoning.

4. Follow the pattern to determine the solution to 2-3! = ________ = ________ Pattern: Divide the previous number in standard form by the base (2). = ________ = ________ • Do you see a connection between positive exponents and negative exponents? = ________ = ________ • The denominator of fraction of a negative exponent is the same number as standard form when the exponent is positive. = ________ = ________ = ________ = ________ = ________ = ___________

5. Follow the pattern to determine the solution to 10-5! = ________ = ________ Pattern: Divide the previous number in standard form by the base (10). = ________ = ________ • Do you see a connection between positive exponents and negative exponents? = ________ = ________ • The standard form of a negative exponent is the reciprocal (the number upside down) of the standard form of the positive exponent. = ________ = ________ = ________ = ________ = ___________

6. Team Reflection and Practice • With your teammates brainstorm of ideas of ways that we can find the value of integer exponents in standard form without making a list and following a pattern. • Raise your hand and have your teacher check your responses to the refection. • After checking with your teacher complete the “Team Practice.”