Grade Distribution 3rd 5th 8th A 8 5 n/a B 7 C 2 3 D 1 F 4 6 No Show

Slides:

Advertisements

Similar presentations

Section P4 Polynomials. How We Describe Polynomials.

Advertisements

Find a common monomial factor

5.5 Polynomials Goals: 1. To identify a polynomial and its types 2.To identify terms, coefficients 3.To identify the degree of the poly.

Introduction Algebraic expressions are mathematical statements that include numbers, operations, and variables to represent a number or quantity. We know.

Polynomials and Polynomial Functions Section 5.3.

Do Now. Homework Solutions 1)c 2 – 26c – 56 = 0 (c – 28)(c + 2) = 0 {-2, 28} 2)n 2 + 4n – 32 = 0 (n + 8)(n – 4) = 0 {-8, 4} 3)h 2 + 2h – 35 = 0 (h + 7)(h.

Section 5.1 Polynomials Addition And Subtraction.

Review for Algebra Test over Polynomials… Use laws of exponents, Distributive Property, CLT, addition, subtraction, multiplication, and division of polynomials.

Do Now: Evaluate each expression for x = -2. Aim: How do we work with polynomials? 1) -x + 12) x ) -(x – 6) Simplify each expression. 4) (x + 5)

Combine Like Terms 1) 3x – 6 + 2x – 8 2) 3x – x + 10 Exponent Rules 3) What is 2x  3x? 5x – 14 15x + 3 6x 2 Warm up.

Simplify Warm Up. Classifying Polynomials Section 8-1.

Combine Like Terms 1) 3x – 6 + 2x – 8 2) 3x – x ) 10xy + 5y – 6xy – 14y 5x – 14 15x + 3 4xy – 9y Warm up.

 Simplify the following…  2(4 + x)  x(x – 3x 2 + 2)  5x – 2 + 6x  2x 2 + 5x – 11x  8x(4x 2 )

Unit 8, Lesson 1.  ynomials/preview.weml ynomials/preview.weml.

Warm Up Sept Rewrite using rational exponents: 2. Simplify: 3. Simplify: 4. Simplify: 5. Simplify:

CLASSIFYING POLYNOMIALS. A _______________ is a sum or difference of terms. Polynomials have special names based on their _______ and the number of _______.

Adding and subtracting polynomials

POLYNOMIAL Function: A polynomial is the monomial or the sum of monomials with all exponents as whole numbers and coefficients are all real numbers. Ex-

Polynomials Def: A Monomial is a product of a number and a variable raised to a whole power. k = 0,1,2,3….. ( Degree) a = coefficient.

Do Now: Evaluate each expression for x = -2. Aim: How do we work with polynomials? 1) -x + 12) x ) -(x – 6) Simplify each expression. 4) (x + 5)

Identifying Terms, Factors, and Coefficients (3.1.1) February 1st, 2016.

First Ten Degree: The largest exponent Standard Form: Descending order according to exponents Leading Coefficient: The number in front of the.

8.1 adding and subtracting polynomials Day 1. Monomial “one term” Degree of a monomial: sum of the exponents of its variables. Zero has no degree. a.

ADDING AND SUBTRACTING POLYNOMIALS. REVIEW! A polynomial is a monomial, or sum or difference of monomials. Old Holt 9.1; New Holt 6-4 New Glencoe: 8-1.

Chapter 5 Section 4. EXAMPLE 1 Find a common monomial factor Factor the polynomial completely. a. x 3 + 2x 2 – 15x Factor common monomial. = x(x + 5)(x.

Degrees of a Monomial. Degree of a monomial: Degree is the exponent that corresponds to the variable. Examples: 32d -2x 4 16x 3 y 2 4a 4 b 2 c 44 has.

Adding and subtracting polynomials 1L interpret expressions that represent a quantity in terms of its context.

7-3 Polynomials and 7-4 Adding and Subtracting Polynomials Algebra 1 Glencoe McGraw-HillLinda Stamper.

XEI: Expressions, equations, and inequalities

Expressions and Polynomial Review

2.1 Classifying Polynomials

Let’s Begin!!! .

8-1 Adding and Subtracting Polynomials

Algebra I Section 9.1 – 9.2 Review

Aim: How do we multiply polynomials?

7.1 – Adding & Subtracting Polynomials

Chapter 4 Review Polynomials.

Unit 1: Combining like Terms

Chapter 8 Vocabulary 1.) Monomial 2.) Binomial 3.)Trinomial

Identifying Terms, Factors, and Coefficients (3.1.1)

Multiplying Polynomials

Lesson 5.3 Operations with Polynomials

Let’s Begin!!! .

Adding and Subtracting Polynomials (9.1)

9.1 Add and Subtract Polynomials

Find the degree of each monomial. –4t5 22a4b7 –8mn2 10a2b3

7.1 – Adding and Subtracting Polynomials

9.6 - Factoring Quadratics when a > 1

CLASSIFYING POLYNOMIALS

5.5 Polynomials Goals: 1. To identify a polynomial and its types

Adding and subtracting

Quadratic Applications

Objectives Classify polynomials and write polynomials in standard form. Evaluate polynomial expressions.

Let’s Begin!!! .

3.1 Polynomials How do I know if it’s a polynomial?

Section P4 Polynomials.

Warm Up Jan. 28th 1. Rewrite using rational exponents: 2. Rewrite in radical form then simplify the radical: 3. Simplify: 4. Simplify: 5. Simplify:

CLASSIFYING POLYNOMIALS

Operations with Polynomials

ALGEBRA I - SECTION 8-1 (Adding and Subtracting Polynomials)

Let’s Review Functions

Introduction to Polynomials

8.1 Adding and Subtracting Polynomials

7.3 Polynomials A monomial or a sum of monomials

Let’s Begin!!! .

9.2 - Multiplying Polynomials

CLASSIFYING POLYNOMIAL

Do Now: Aim: How do we work with polynomials?

Presentation transcript:

Grade Distribution 3rd 5th 8th A 8 5 n/a B 7 C 2 3 D 1 F 4 6 No Show 100+ Range 56-100 44-105 Avg 83.6 76.64 12/3/2018 5:59 PM 9.3a: Applications

Polynomial Applications Section 9.3a Polynomial Applications 9.3a: Applications 12/3/2018 5:59 PM

Types of Terms CONSTANT is a function not associated with a variable LINEAR is a function whereas the highest degree is one QUADRATIC is a function whereas the highest degree is two CUBIC is a function whereas the highest degree is three 12/3/2018 5:59 PM 9.3a: Applications

Types of Degrees MONOMIAL is a number or a product of numbers and variables with whole number exponents BINOMIAL is a polynomial with two terms TRINOMIAL is a polynomial with three terms POLYNOMIAL is a monomial or the sum or difference of monomials. 12/3/2018 5:59 PM 9.3a: Applications

Example 1 Given –5x2 + 4x + 3, identify the highest degree and the amount of terms. Then, label the polynomial. 12/3/2018 5:59 PM 9.3a: Applications

Example 2 Given x – 4, identify the highest degree and the amount of terms. Then, label the polynomial. 12/3/2018 5:59 PM 9.3a: Applications

Example 3 Given 8x3 + 5x2 + x – 4, identify the highest degree and the amount of terms. Then, label the polynomial. 12/3/2018 5:59 PM 9.3a: Applications

Your Turn Given 5x3– 1, identify the highest degree and the amount of terms. Then, label the polynomial. 12/3/2018 5:59 PM 9.3a: Applications

Equations Use your STAAR CHART What does perimeter mean? What does area mean? 12/3/2018 5:59 PM 9.3a: Applications

Steps in Applications Read the question TWICE Understand the Question Underline key numbers and terms Draw a picture Write out the equation Show all work (DO NOT DO IT ALL IN YOUR HEAD OR PLUG EVERYTHING IN THE CALCULATOR) Label appropriately 12/3/2018 5:59 PM 9.3a: Applications

Review What does x + x equal to? What does x • x equal to? What does (x + 2)2 equal to? 12/3/2018 5:59 PM 9.3a: Applications

Example 4 Find the perimeter and area of a square with the sides of 5x4y7. Perimeter: 12/3/2018 5:59 PM 9.3a: Applications

Example 4 Find the perimeter and area of a square with the sides of 5x4y7. Area: 12/3/2018 5:59 PM 9.3a: Applications

Your Turn Find the perimeter and area of a square with the sides of 2x9y3. 12/3/2018 5:59 PM 9.3a: Applications

Example 5 Find the perimeter and area of a rectangle with the length of (2x – 5) in. and width is (x + 3) in. Perimeter: 12/3/2018 5:59 PM 9.3a: Applications

Example 5 Find the perimeter and area of a rectangle with the length of (2x – 5) in. and width is (x + 3) in. Area: 12/3/2018 5:59 PM 9.3a: Applications

Example 6 Find the perimeter and area of a rectangle with the length of (2x – 9) in. and width is (4x + 1) in. 12/3/2018 5:59 PM 9.3a: Applications

Your Turn Find the perimeter and area of a rectangle with the length of (3x – 1) in. and width is (3x + 2) in. 12/3/2018 5:59 PM 9.3a: Applications

Example 7 Find the perimeter and area of a triangle with the sides of (x + 4) in. and (x – 5) in., base of (x + 3) in., and height is (6x) in. Perimeter: 12/3/2018 5:59 PM 9.3a: Applications

Example 7 Find the perimeter and area of a triangle with the sides of (x + 4) in. and (x – 5) in., base of (x + 3) in., and height is (6x) in. Area: 12/3/2018 5:59 PM 9.3a: Applications

Example 8 Find the perimeter and area of a triangle with the sides of (2x) in. and (5x – 9) in., base of (4x + 5) in., and height is (x – 2) in. Perimeter: Area: 12/3/2018 5:59 PM 9.3a: Applications

Your Turn Find the perimeter and area of a triangle with the sides of (x – 6) in. and (x + 9) in., base of (2x – 1) in., and height is (4x) in. Perimeter: Area: 12/3/2018 5:59 PM 9.3a: Applications

Example 9 Charles wants a new patio. He wants the length to be 9 more than twice the width (w). What is the area of his patio in terms of the width? 12/3/2018 5:59 PM 9.3a: Applications

Example 10 The Major family wants to expand their kitchen. In order to do so, they are knocking down some walls and adding some new pieces of the room as listed below. The original length is x + 4 and the width is x – 3. The new dimensions for the extension of the room is with 2x – 1 for its length and x – 5 for the width. What is the TOTAL area of the new kitchen? 12/3/2018 5:59 PM 9.3a: Applications

Example 10 The Major family wants to expand their kitchen. In order to do so, they are knocking down some walls and adding some new pieces of the room as listed below. The original length is x + 4 and the width is x – 3. The new dimensions for the extension of the room is with 2x – 1 for its length and x – 5 for the width. What is the TOTAL area of the new kitchen? 12/3/2018 5:59 PM 9.3a: Applications

Your Turn The Major family wants to expand their kitchen. In order to do so, they are knocking down some walls and adding some new pieces of the room as listed below. The original length is x + 8 and the width is x – 5. The new dimensions for the extension of the room is with 3x – 1 for its length and x – 9 for the width. What is the TOTAL area of the new kitchen? 12/3/2018 5:59 PM 9.3a: Applications

Assignment Worksheet 12/3/2018 5:59 PM 9.3a: Applications