University:
Winston-Salem Forsyth County Schools
Course:
AP Calculus AB
Academic year:

2014
Views:

328

Pages:

6
Author:

iskricamilt

February 25, 2014 Notebook p. 1 Title: Multiplying Monomials EQ: How do we simplify expressions involving powers of monomials? How do we multiply monomials? Vocab • Monomial is a number, a variable, or a product of a number and one or more variables. • Constant a monomial that is a real number • EXAMPLES: • 5 monomial • P+Q (binomial) • X monomial • 1 monomial • 2yxd monomial Determine whether each expression is a monomial. Explain your reasoning. Determine whether each expression is a monomial. Explain your reasoning. Expression Monomial Reason a. no b. yes c. d. yes xy yes The expression involves subtraction, not the product, of two variables. The expression is the product of a number and two variables. is a real number and an example of a constant. The expression is the product of two variables. Expression Monomial Reason a. yes Single variables are b. no The expression involves subtraction, not the c. no The expression is the quotient, d. yes The expression is the product of a *any number that is alone, or connected by multiplication is a monomial. (A binomial is connected by addition or subtraction). A fraction is a monomial as long as the denominator is a number (not a variable). 1 February 25, 2014 Product of Powers • To multiply two powers that have the same base, add the exponents Example using symbols: Simplify . Product of Powers Actual example: Answer: Simplify . Simplify each expression. Product of Powers Answer: Simplify. a. Answer: b. Answer: Simplify. Example 12c 2 February 25, 2014 Power of a power • To find the power of a power multiply the exponents. Simplify Power of a Power • Example using symbols: Simplify. Power of a Power • Actual example: Answer: Finish writing systems for word problems (all questions) AND complete 8-1 skills practice #1-6 classifying monomials Simplify. Power of a product • To find the power of a product, find the power of each factor and multiply. • Example using symbols • Actual example 3 February 25, 2014 Take out your homework (8-1) and your warm up from yesterday. I am stamping. You are going to need to work on p. 413 # 1-14 Simplify Answer: Geometry Find the volume of a cube with a side length Volume Express the surface area of the cube as a monomial. Formula for volume of a cube Power of a Product Answer: Simplify. Answer: 4 February 25, 2014 Simplifying a monomial expression Simplify • To simplify an expression using monomials write and equivalent expression in which: Power of a Power each base appears exactly once no powers of powers all fractions in simplest form Power of a Product Power of a Power Simplify Commutative Property Answer: Answer: Power of Powers 5 February 25, 2014 Practice/HW • Make notecards • P. 413 #1640 even 6