"Factorization" PPT courseware

Description

"Factorization" PPT courseware

Part One: Reviewing Old Knowledge

1.How many forms are there for integer multiplication?

(1) Multiply a monomial by a monomial

(2) Multiply a monomial by a polynomial: m(a+b+c)=ma+mb+mc

(3) Multiply polynomial by polynomial: (a+b)(m+n)=am+an+bm+bn

2. What are the multiplication formulas?

(1) Square difference formula: (a+b)(a-b)=a2-b2

(2)Perfect square formula: (a±b)2=a2±2ab+b2

Factoring PPT, Part 2: Learning Objectives

1. Understand the concept of factorization and master the difference and connection between factorization and integer multiplication.

2. Be able to judge whether factorization is correct or not, and be able to perform simple factorization.

3. Feel the role of factorization in solving related problems.

Discussion:

1. What is the concept of factorization? What is the relationship between factoring and multiplication of integers?

2. What points should be paid attention to when discussing the identification of factorization based on questions 1 and 2 of the outline?

Group discussion: Discuss the ideas and methods of questions 3, 4, and 5 of the outline, and feel the role of factoring in solving related problems.

Factoring PPT, Part 3: Judgment

Determine which of the following expressions are integer multiplications? Which ones are factoring?

(1) x2-4y2=(x+2y)(x-2y)

(2) 2x(x-3y)=2x2-6xy

(3) (5a-1)2=25a2-10a+1

(4) x2+4x+4=(x+2)2

(5) (a-3)(a+3)=a2-9

(6) m2-4=(m+2)(m-2)

Factoring PPT, Part 4: After-class exercises

1. Which of the following transformations from the left to the right of the equal sign are factorizations?

(1) 4a2bc=4a2·b·c ( )

(2) 8m2n-2mn2=2mn(4m-n) ( )

(3) a2-4b2=( a+2b)(a-2b) ( )

(4) 4b2+4b+1=4b( b+1)+1 ( )

3. Please fill in the other factor of the polynomial on the left side of the following equation in the brackets:

(1)6ab-12ac=6a( )

(2) 4mn-2xm=( )(2n-x)

(3) a2-9b2=( )(a-3b)

(4) b2+8b+16=( )2

Keywords: Free download of Hebei Education Edition mathematics PPT courseware for seventh grade volume 2, factoring PPT download, .PPT format;

For more information about the "Factorization" PPT courseware, please click the "Factorization ppt" tab.

"Factorization" PPT:

"Factorization" PPT Part 1 Content: Fill in Can you find the connection and difference between these two sets of equations? What are the characteristics of their left and right sides? Features: Convert the form of the product of integers into the form of the sum of polynomials. Features: Convert the form of the sum of polynomials into...

"Factorization Method for Solving Quadratic Equations of One Variable" PPT courseware:

"Factorization Method for Solving Quadratic Equations" PPT courseware uses the factorization method to solve quadratic equations. General steps: (1) Change the right side of the equation to zero; (2) Decompose the left side of the equation into two linear equations. ________ of factors; (3) Let each factor be zero, we get..

"Solving quadratic equations of one variable using factorization method" PPT courseware 3:

"Solving Quadratic Equations Using Factorization Method" PPT Courseware 3 Review and Review We obtain the roots of quadratic equations by forming perfect squares. This method of solving quadratic equations is called the solving method (solving method). by completing the square) ..

File Info

Update Time: 2024-11-21

This template belongs to Mathematics courseware Hebei Education Edition Seventh Grade Mathematics Volume 2 industry PPT template

Preview