1. 8.3 Division Properties of Exponents Learn to use the division properties of exponents to evaluate powers and simplify expressions.

2. 43210 In addition to level 3, students make connections to other content areas and/or contextual situations outside of math. Students will construct, compare, and interpret linear and exponential function models and solve problems in context with each model. - Compare properties of 2 functions in different ways (algebraically, graphically, numerically in tables, verbal descriptions) - Describe whether a contextual situation has a linear pattern of change or an exponential pattern of change. Write an equation to model it. - Prove that linear functions change at the same rate over time. - Prove that exponential functions change by equal factors over time. - Describe growth or decay situations. - Use properties of exponents to simplify expressions. Students will construct, compare, and interpret linear function models and solve problems in context with the model. - Describe a situation where one quantity changes at a constant rate per unit interval as compared to another. Students will have partial success at a 2 or 3, with help. Even with help, the student is not successful at the learning goal. Focus 8 Learning Goal – (HS.N-RN.A.1 & 2, HS.A-SSE.B.3, HS.A-CED.A.2, HS.F-IF.B.4, HS.F- IF.C.8 & 9, and HS.F-LE.A.1) = Students will construct, compare and interpret linear and exponential function models and solve problems in context with each model.

3. 2 5 2323 = 2  2  2  2  2 222222 =2 2 = 4 Reduce

4. Rules for Division Let a and b any real number, and m and n be integers. Quotient of Powers Property: Subtract n from m (a  0) = a m-n amam anan

5. Power of Quotient Property: Distribute power across the ( ). a b m = amam bmbm *Remember: a negative exponent means to rewrite its reciprocal!! Rules for Division

6. 3737 34 34 828828 8585 3 2 2 Practice 1. 2. 3. = 3 3 = 27 = 8 3 8 5 = 1 8 2 = 1 64 = 2 2 3 2 = 4 9 = 8 -2

7. -32x 4 y 2 4x 2 y 3 Try the Challenge Problem Multiply straight across to make one fraction. 16x 3 y ∙ -2xy -4xy 3 -x Divide whole numbers -8x 4 y 2 x 2 y 3 Subtract exponents and make sure all exponents in your answer are positive. -8x 2 y

8. Review all of the rules for exponents: http://safeshare.tv/w/LzzdFknWAc Super Base!