Multiplying Exponents
 GOAL: I can multiply numbers and variables that have exponents

 Learning Standards Common Core Standard: 7.EE.1

 Resources RED BOOK Reference: Pages: 410 ─ 413 Practice on page 413#21-26 all. BLACK BOOK Reference: Pages: 426 ─ 430   Practice on page 413 #9-27 odds.

 Practices (with answers) Multiplying Exponents (ver. 2)  Multiplying Exponents (ver. 3)

 Lesson Vocabulary Exponents A number written above and to the right of another number, variable, or mathematical expression that shows how many times the number, variable, or expression is multiplied by itself. Monomials Monomials are the small units or pieces of algebra expressions.  They can be as small as a single number(  2, ─7), or a variable (x, y, a), or a number and variable combination (3d, ─8g, 4x²).

 Video Tutorials Topic Description Time (min: sec) Exponent Properties 1 Khan Academy 2:36 Exponent Properties 2 Khan Academy 5:12 Exponent Properties 3 Khan Academy 2:35 Exponent Properties 4 Khan Academy 3:07

 Strategies and Content Practice Begin(prepare) Numbers and variables that have exponents can be operated on by the usual math operations like addition, subtraction, multiplication and division.  This lesson covers multiplying exponents. Engage As defined above, monomials are small expressions of an algebra problem.These monomials may contain exponents like:$\huge \fn_phv 4K^{3}, 7J^{2}, ─15T^{8}$When we multiply two or more numbers with exponents, we ADD their exponents.  For example:$\huge \fn_phv 5^{2} \bullet 5^{6}=5^{8}$When we multiply two or more variables with exponents, we ADD their exponents.  For example:$\huge \fn_phv B^{3} \bullet B^{4} \bullet B^{2} =B^{9}$When numbers are with variables, we call them coefficients.So monomials with coefficients and variables can be multiplied.  Their exponents are also added.For example:$\huge \fn_phv 2H^{3} \bullet 3H^{2} \bullet 4H^{5} =24H^{10}$The coefficients are multiplied together.Then the exponents on the variable H are added together. Assess(formative) After example problems and videos, try to solve the Practice Worksheets above.  The answers to the practices are on the last page so you can check how well you are doing.Please see me for more help if you are having difficulty with the practices.