Multiplying Polynomials (x + 2)(x + 3). Multiplying Polynomials (x – 1)(x +4)

Slides:



Advertisements
Similar presentations
Let’s Explore Algebra Tiles
Advertisements

South Texas Rural Systemic Initiative
Polynomials and Algebra Tiles
Algebra! It’s NOT Hard; in Fact, It’s Child Play
Jim Rahn Visualizing Multiplication of Binomials and Factoring with Algebra Tiles Jim Rahn
Numeracy Coaches November 21, 2011
Factoring with Algebra Tiles
We are now going to try factoring a very specific type of polynomial, trinomials of the form 1x 2 + bx + c We are now going to try factoring a very specific.
Lesson 5-1 Example Example 1 Draw an array to model the expression 12 ÷ 4. 1.Identify the divisor (the second number). This represents the number.
Let’s Do Algebra Tiles Algebra Tiles Manipulatives used to enhance student understanding of subject traditionally taught at symbolic level. Provide access.
Activity Set 1.4 PREP PPTX Visual Algebra for Teachers.
Section 5.4 Dividing Polynomials. Review of Long Division What terms do we use to describe 672 and 21? Because the reminder is zero, we know that 21 is.
How do we divide decimals?
Modeling Review.
HRSB, 2008 Algebra Tiles 1 x -x x2x2 -x 2. HRSB, 2008 Algebra Tiles y-y xy -y 2 y2y2 -xy.
Multiplying Binomials using Algebra tiles and Rectangle Diagrams
A hands on approach to completing the square Completing the Square with Algebra Tiles.
Dividing by decimals Mr. Johnk Whatever you multiply your divisor by, you must also do to the dividend! The shortcut is to just move the decimal.
Section 8.2: Multiplying and Dividing Rational Expressions.
Let’s Do Algebra Tiles. Algebra Tiles Manipulatives used to enhance student understanding of subject traditionally taught at symbolic level. Provide access.
Ch 11.5 Dividing Polynomials
5.3 Part 2 Polynomial Division
Whole Numbers Multiplying Whole Numbers. Properties of Multiplication Commutative Property of Multiplication Multiplication Properties of 0 and 1 Associative.
Let’s Work With Algebra Tiles
Algebra Tiles To help the development of conceptual understanding of multiplying and factoring polynomials.
Picture This! Multiply Fractions by drawing arrays.
Dividing Polynomials. Simple Division - dividing a polynomial by a monomial.
DIVIDING POLYNOMIALS Mr. Richard must have your “Un-Divided” attention for this lesson!
Warm up Objective: To divide polynomials Lesson 6-7 Polynomial Long Division.
294 ÷ 14. Look at the division problem.  The divisor, 14, can be divided into the first two digits of the dividend, 29, since you can get groups of 14.
Introduction to Algebra Tiles. There are 3 types of tiles...
Small Square Value = 1 Rectangle x Value = x Large Square x x Value = x 2 Algebra Tiles.
Open Area Model of Multiplication
Dividing polynomials This PowerPoint presentation demonstrates two different methods of polynomial division. Click here to see algebraic long division.
Warm Up Divide using long division ÷ Divide.
ALGEBRA TILES SOLVING EQUATIONS Replace the equation with tiles: Negative Positive -X X 1.
Holt Algebra Dividing Polynomials Synthetic division is a shorthand method of dividing a polynomial by a linear binomial by using only the coefficients.
5.1 – 5.6 Review Algebra 2. Exponents! Evaluate the expression: ∙ (x 3 y -5 )(x 2 y) 2 3.(3x 3 y 6 ) -2.
Multiplying Conjugates The following pairs of binomials are called conjugates. Notice that they all have the same terms, only the sign between them is.
Decimal Review. Adding decimals Rules Line up the decimal points 2. Make whole numbers look like decimals.
Operations on Rational Expressions MULTIPLY/DIVIDE/SIMPLIFY.
7-6 Multiplying Polynomials Do you remember algebra tiles? Algebra 1 Glencoe McGraw-HillLinda Stamper.
Adding Decimal Numbers
Model the following problem using algebra tiles: (x + 4)(x – 4) x + 4 x - 4 x2x2.
In this lesson, we will multiply polynomials
Link to Math Summit Program
Solving For “Y” 1. Circle Y 2. What is the inverse operation of X
Let’s Get A Few Things Straight
Model the polynomial with algebra tiles
Section P6 Rational Expressions
Dividing Polynomials Algebra
Dividing Polynomials Tyler McKell.
5.3 Adding Polynomials.
Polynomial Long Division
Dividing Polynomials.
Using Algebra Tiles for Student Understanding
Remainder and Factor Theorem
Connecting Algebra Tiles to Integer Tiles
Dividing Polynomials.
Math 9 Honours Section 4.1 Multiplying & Dividing Polynomials
Multiplying Polynomials Using Algebra Tiles
SOL A.2c Designed by Stephanie Moore
7.2 Multiplying Polynomials by Monomials
Dividing polynomials This PowerPoint presentation demonstrates two different methods of polynomial division. Click here to see algebraic long division.
Factor Using Algebra Tiles
ALGEBRA I - REVIEW FOR TEST 3-3
Algebra 1 Section 9.6.
Keeper 11 Honors Algebra II
Ch 10: Polynomials F) Factoring ax2 + bx + c
Dividing whole number by a decimal
Presentation transcript:

Multiplying Polynomials (x + 2)(x + 3)

Multiplying Polynomials (x – 1)(x +4)

Multiplying Polynomials (x + 2)(x – 3) (x – 2)(x – 3)

Factoring Polynomials Algebra tiles can be used to factor polynomials. Use tiles and the frame to represent the problem. Use the tiles to fill in the array so as to form a rectangle inside the frame. Be prepared to use zero pairs to fill in the array. Draw a picture.

Factoring Polynomials 3x + 3 2x – 6

Factoring Polynomials x 2 + 6x + 8

Factoring Polynomials x 2 – 5x + 6

Factoring Polynomials x 2 – x – 6

Factoring Polynomials x 2 + x – 6 x 2 – 1 x 2 – 4 2x 2 – 3x – 2 2x 2 + 3x – 3 -2x 2 + x + 6

Dividing Polynomials Algebra tiles can be used to divide polynomials. Use tiles and frame to represent problem. Dividend should form array inside frame. Divisor will form one of the dimensions (one side) of the frame. Be prepared to use zero pairs in the dividend.

Dividing Polynomials x 2 + 7x +6 x + 1

Dividing Polynomials x 2 + 7x +6 x + 1 2x 2 + 5x – 3 x + 3 x 2 – x – 2 x – 2 x 2 + x – 6 x + 3