Factoring Patterns By Karen White. Factoring Patterns Students have learned to multiply binomials using FOIL, distributive, box, vertical and monkey face.

Slides:

Advertisements

Similar presentations

Multiplying Binomials

Advertisements

5.2 Multiplying Polynomials. To Multiply Polynomials Each term of one polynomial must be multiply each term of the other polynomial.

 Pg. 15 #37-42, 46-49,53, 55. Learning Target: I will recognize the types of polynomials and multiply them together to get a single polynomials. Learning.

10.7 Factoring Special Products

Math Notebook. Review  Find the product of (m+2) (m-2)  Find the product of (2y-3)^2.

Special Products of Polynomials.

Section 9-3 Multiplying Binomials SPI 12D: multiply two polynomials with each factor having no more than two terms Objectives: Multiply binomials by modeling.

Section 2.5 Multiplication of Polynomials and Special Products

Topic: Multiplying Polynomials. Multiplying Polynomials REMEMBER: Laws of exponents. REMEMBER: Combine like terms for your final answer (exponents don’t.

Factor Special Products April 4, 2014 Pages

Perfect Square Trinomials and Difference of Perfect Squares

 We use the acronym below to multiply two binomials. F – O – I – L – FIRST OUTSIDE INSIDE LAST.

5.3 Add, Subtract, and Multiply Polynomials. Add Polynomials Vertically or Horizontally Find the sum of the polynomials below: 2x 3 – 5x + 3x – 9 and.

Polynomials and Factoring CHAPTER 9. Introduction This chapter presents a number of skills necessary prerequisites to solving equations. These skills.

I can show multiplying polynomials with the FOIL. OBJECTIVE.

6.3 Adding, Subtracting, & Multiplying Polynomials p. 338.

Multiplication: Special Cases Chapter 4.5. Sum x Difference = Difference of Two Squares (a + b)(a – b) = (a – b)(a + b) =a 2 – b 2.

Multiplying Polynomials; Special Products Multiply a polynomial by a monomial. 2.Multiply binomials. 3. Multiply polynomials. 4.Determine the product.

Review Operations with Polynomials December 9, 2010.

Multiplying Polynomials *You must know how to multiply before you can factor!”

Aim: How do we multiply polynomials? Do Now: Multiply the following 1. 2x(3x + 1) 2. (x – 1)(x + 2) 3. (x +2)(x 2 – 3x + 1)

Quiz 1) 2). Multiplying a Trinomial and Binomial We can’t FOIL because it is not 2 binomials. So we will distribute each term in the trinomial to each.

Objective - To multiply polynomials. Multiply the polynomial by the monomial. 1) 3(x + 4) 2) 3) Distributive Property.

Multiplying Binomial × Binomial An important skill in algebra is to multiply a binomial times a binomial. This type of problem will come up often.

Factoring General Trinomials Factoring Trinomials Factors of 9 are: REVIEW: 1, 93, 3.

Objective - To recognize and factor a perfect square trinomial. Find the area of the square in terms of x. Perfect Square Trinomial.

2.3Special Products of Polynomials Square of a Binomial Pattern Multiply binomials by using F O I L.

4.5 SKM & PP SKM & PP 1 Multiplying Radical Expressions.

Factoring Polynomials Section 2.4 Standards Addressed: A , A , CC.2.2.HS.D.1, CC.2.2.HS.D.2, CC.2.2.HS.D.5.

Warm Ups Term 2 Week 3. Warm Up 10/26/15 1.Add 4x 5 – 8x + 2 and 3x x – 9. Write your answer in standard form. 2.Use the Binomial Theorem to expand.

Special Factoring Patterns Students will be able to recognize and use special factoring patterns.

Using Distribution with Polynomials Copyright Scott Storla 2015.

Objective - To recognize and use the factoring pattern, Difference of Squares. Multiply. 1) 2) 3) 4) Inner and Outer terms cancel!

Multiplying Polynomials

Binomial X Binomial The problems will look like this: (x – 4)(x + 9)

8.7 Multiplying Polynomials What you’ll learn: 1.To multiply two binomials 2.To multiply two polynomials.

Polynomials Objective: To review operations involving polynomials.

Factor and Solve Polynomial Equations Homework Questions?

Notes Over 10.7 Factoring Special Products Difference of Two Squares.

Use patterns to multiply special binomials.. There are formulas (shortcuts) that work for certain polynomial multiplication problems. (a + b) 2 = a 2.

Notes Over 6.3 Adding Polynomial Horizontally and Vertically Find the sum. Just combine like terms.

6.3 Adding, Subtracting, & Multiplying Polynomials p. 338 What are the two ways that you can add, subtract or multiply polynomials? Name three special.

EXAMPLE 3 Multiply polynomials vertically and horizontally a. Multiply –2y 2 + 3y – 6 and y – 2 in a vertical format. b. Multiply x + 3 and 3x 2 – 2x +

Grade Eight – Algebra I - Unit 9 Linear Equations and Their Graphs

Warm Up 01/18/17 Simplify (–2)2 3. –(5y2) 4. 2(6xy)

Notes Over 10.8 Methods of Factoring Binomial Trinomial

use patterns to multiply special binomials.

Objectives Factor perfect-square trinomials.

Example 2 Factor the polynomial. 12n n2 a. – 36 + = ( ) 2 n2 –

Factoring Special Cases

8-4 Special Products of Polynomials

Lesson 9.3 Find Special Products of Polynomials

Warm Up Subtract: Add:.

Warm Up Multiply using the F.O.I.L. or Box Method.

Do Now Determine if the following are perfect squares. If yes, identify the positive square root /16.

Multiplying and Dividing Polynomials

Lesson 9.1 How do you add and subtract polynomials?

Perfect Square Trinomials

Lesson 9.7 Factor Special Products

Factor Special Products

Special Products of Binomials

Unit 1 Section 3B: MULTIPLYING POLYNOMIALS

Day 147 – Factoring Trinomials

5.3 Add, Subtract, and Multiply Polynomials

Section 4.2 Adding, Subtracting and Multiplying Polynomials

Review Multiply (3b – 2)(2b – 3) Multiply (4t + 3)(4t + 3)

7.3 Special Products.

U4-S2-L5 Special Binomial Products

Multiplication: Special Cases

Objective - To recognize and use the factoring pattern, Difference of Squares. Multiply. 1) 2) 3) 4) Inner and Outer terms cancel!

Presentation transcript:

Factoring Patterns By Karen White

Factoring Patterns Students have learned to multiply binomials using FOIL, distributive, box, vertical and monkey face methods. Students will multiply given sets of binomials to derive the patterns that occur in the resulting polynomials. Students will then investigate two types of special polynomials, difference of squares and perfect square trinomials, to determine the easiest method to use for factoring these polynomials. The skills will be reinforced and assessed during several group activities and projects. The main project will require each student to make a memory game with a minimum of six difference of squares and six perfect square trinomials obtained from a master list. The students will then form groups and play the different games that were created. Students will be asked to write in their journal about recognizing and factoring these patterns. The writing may also include samples, diagrams, drawings, etc. Final assessment will be a test requiring students to factor special product trinomials.

Essential Question Math is the science of patterns. Are patterns created by multiplication?

Unit Questions What pattern is formed when a binomial is squared? What pattern is created when conjugate binomials are multiplied?

Content Questions Be proficient at multiplying binomials. What pattern is created when conjugate binomials are multiplied?

21 st Century Skills

Assessment- Group Project Each group will derive patterns from given problems. The progress of the group work will be observed. Groups will then be chosen to present the patterns that they derived to the remainder of the class.

Assessment- Game Students will pick twelve problems from a hat and solve them. They will create a memory game using the questions and answers. Students will exchange and play each others games to become proficient at multiplying binomials and factoring polynomials.

Assessment- Journal Each student will be asked to document what they have learned about the patterns that are created when multiplying binomials. The students may use writing, drawing, or diagrams in their journal.