"Formula Law" PPT

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"Formula Law" PPT

Part One: Learning Objectives

① Further understand the concept of factorization and be able to use the square difference formula to factorize relatively simple polynomials. Further experience the idea of ​​"whole" and cultivate the awareness of "changing elements".

② While factoring different polynomials, students can develop their observation, comparison, judgment and calculation abilities. Using different methods to factor factors can improve their ability to comprehensively apply knowledge.

Review introduction

1. For the equation x2-x = (x+1)

(1) If you look from left to right, what kind of deformation is it?

What is factorization? What is this method of factorization called?

(2) If you look from right to left, that is, x(x+1) = x2-x, what kind of deformation is it?

Therefore, factoring and multiplication of integers are two mutually opposite transformations.

Formula method PPT, part 2: exploring new knowledge

Reverse the square difference formula of integer multiplication (a+b)(a-b)=a²-b², and you get a²-b²=(a+b)(a-b)

The square difference of two numbers is equal to the product of the sum of the two numbers and the difference of the two numbers.

Example 1 Use the square difference formula to factorize the following polynomials

(1)x²-4 (2)y²-25

(3)4x²-9 (4)(x+p)²-(x+q)²

Formula method PPT, the third part of the content: Summary:

1. The polynomial characteristics that can be factored using the square difference formula are:

(1) Exactly two items;

(2) One item is positive and the other item is negative;

(3) can be transformed into (　)2-(　)2.

2. What methods have you learned about factoring? How to choose these methods? What are the requirements for the final result of factoring?

Propose common factor method and formula method.

If there are common factors, extract the common factors first;

If there are no common factors, consider whether you can use the squared difference formula;

Factoring must proceed until each polynomial factor cannot be factored any further.

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

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Update Time: 2024-11-22

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

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