ALGEBRA CHAPTER 6 Ms. Fisher. OBJECTIVE: EVALUATE EXPRESSIONS CONTAINING ZERO AND INTEGER EXPONENTS. WARM-UP: HOW WAS YOUR WINTER BREAK?! GET ANY GOOD.

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Presentation transcript:

ALGEBRA CHAPTER 6 Ms. Fisher

OBJECTIVE: EVALUATE EXPRESSIONS CONTAINING ZERO AND INTEGER EXPONENTS. WARM-UP: HOW WAS YOUR WINTER BREAK?! GET ANY GOOD PRESENTS?!!! 6.1 Integer Exponent 01/05/2015 Mon

5² = 25 5ˉ² = 1 5² 6.1 Integer Exponent (Simplifying Expressions with Zero and Negative Exponents

6.1 Integer Exponent BE CAREFUL**** ORDER OF OPERATIONS

6.1 Integer Exponent

SMALL GROUP WITH MS. FISHER: MADDIE, NIKKI, & CHRISTIAN HW: PG 395 #’S 2-23 EXTENSION: ALEX & JAMES HW & #’S LEO: STUDY ISLAND ON LAPTOP Independent Work Time…

-GO OVER PARKING LOT QUESTIONS/ HW -TEACH SECTION 6.2 WHOLE GROUP -SMALL GROUP INSTRUCTION TIME OBJECTIVE: EVALUATE AND SIMPLIFY EXPRESSIONS CONTAINING RATIONAL EXPONENTS. WARM-UP: WHAT DOES RATIONAL MEAN? A RATIONAL NUMBER IS A NUMBER THAT CAN BE EXPRESSED AS A FRACTION P/Q WHERE P AND Q ARE INTEGERS AND Q ≠0 6.2 Rational Exponents 01/06/2015 Tuesday.

.

6.2 Rational Exponents in Radical Form

6.2 Rational Exponents 01/06/ Tuesday.

. Example: Simplify each expression 3*3*3*3 = 81 Answer= 3 = (6)² = 36 **Make sure each student has a calculator and knows how to use it**

6.2 Rational Exponents. 2 nd key

6.2 Rational Exponents 01/06/ Tuesday.

. ** In this Chapter the best advice I can give you is… The more problems you do, the better off you are. You need to practice this skill. This is a very difficult skill. The only way to mastered this skill is by working through problems…

Independent Work Time. Small group with Ms. Fisher: Maddie, Nikki, & Christian HW: pg 401#’s 2-21 Extension: Alex & James HW & #’s Leo: Study Island on laptop

6.3 Polynomials 01/07/2015 Wed.. Go over Parking Lot Questions/ Hw -Teach Section 6.3 Whole Group -Small Group Instruction Time Objective: Evaluate polynomial expressions.

6.3 Polynomials 01/07/2015 Wed..

. 2 nd key

6.3 Polynomials 01/07/2015 Wed.. 2 nd key

6.3 Polynomials 01/07/2015 Wed..

6.3 Polynomials 01/07/2015 Wed.. Terms of an ** In this section you will have to take some time to memorize the degree names and term names found in the boxes on page 407 of your textbook**  At the end of class grab a partner and quiz each other

6.3 Polynomials 01/07/2015 Wed..

6.3 Polynomials 01/07/2015 Wed..

6.3 Polynomials Independent Work Time 01/07/2015 Wed.. Small group with Ms. Fisher: Maddie, Nikki, & Christian HW: pg 409#’s 1-25 Extension: Alex & James HW & #’s Leo: Study Island on laptop

6.4 Adding and Subtracting Polynomials 01/08/2015 Thursday. Go over Parking Lot Questions/ Hw -Teach Section 6.4 Whole Group -Small Group Instruction Time Objective: Add and Subtract Polynomials

6.4 Adding and Subtracting Polynomials 01/08/2015 Thursday. HW: pg 409#’s x³ + 6 name = cubic binomial 2.3x³ + 4x² - 7 name = cubic trinomial 3.5x²-2x + 3x ⁴ -6 name= quartic polynomial Find the Degree – Remember Looking for GREATEST DEGREE x²-2x +1 degree= Greatest degree xy² =

6.4 Adding and Subtracting Polynomials 01/08/2015 Thursday.

6.4 Polynomials Independent Work Time 01/08/2015 Thurs.. Small group with Ms. Fisher: Maddie, Nikki, & Christian HW: pg 417#’s 1-14 Extension: Alex & James HW & #’s Leo: Study Island on laptop

6.5 Multiplying Polynomials 01/09/2015 Friday. Go over Parking Lot Questions/ Hw -Teach Section 6.5 Whole Group -Small Group Instruction Time Objective: Multiply Polynomials

6.5 Multiplying Polynomials 01/09/2015 Friday.

MONOMIAL EXAMPLES: 13, 3X, -57, X², 4Y², -2XY, OR 520X²Y² BINOMIAL EXAMPLES: 3X + 1, X² - 4X, 2X + Y, OR Y - Y² POLYNOMIAL EXAMPLES: X 2 + 2X + 1, 3X² - 4X + 10, 2X + 3Y Multiplying Polynomials Page 422

MULTIPLYING POLYNOMIAL BY A MONOMIAL- USE DISTRIBUTIVE PROPERTY STEP ONE: DISTRIBUTE STEP TWO: MULTIPLY STEP THREE: GROUP LIKE BASES 5(2X² + X + 4) 10X² + 5X Multiplying Polynomials Page 422

MULTIPLYING BINOMIAL BY BINOMIAL- USE FOIL METHOD 1.MULTIPLY THE FIRST TERMS (X + 3) (X + 2)  X² 2. MULTIPLY THE OUTER TERMS (X + 3) (X + 2)  2X 3. MULTIPLY THE INNER TERMS (X + 3) (X + 2)  3X 4. MULTIPLY THE LAST TERMS (X + 3) (X + 2)  3 * 2 = 6 (X + 3) (X + 2) = X²+2X +3X +6 = X²+ 5X Multiplying Polynomials Page 422

MULTIPLYING BINOMIAL BY A POLYNOMIAL (MULTIPLYING POLYNOMIALS) -USE RECTANGLE MODEL -WRITE THE PRODUCTS OF THE MONOMIALS IN EACH ROW AND COLUMN -TO FIND THE PRODUCT, ADD ALL OF THE TERMS INSIDE THE RECTANGLE BY COMBING THE LIKE TERMS AND SIMPLIFYING. (5X+ 3) (2X²+10X-6) = 10X³+ 6X² + 50X² +30X-30X Multiplying Polynomials Page x³50x²-30x 6x²30x-18 2x²10x-6 5x 3 Final Answer: 10X³ + 56x² -18