"Perfect Square Formula" Multiplication and division of integers PPT

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"Perfect Square Formula" Multiplication and division of integers PPT

Part One: Objectives of this Section

1. Explore the operation process of the perfect square formula, and develop cooperative communication skills, reasoning skills and organized expression skills.

2. Correctly use the perfect square formula to perform simple operations and solve some practical problems.

3. Be able to use geometric figures to illustrate the meaning of formulas, and understand the thinking method of combining numbers and shapes.

Perfect Square Formula PPT, Part 2: Preview Feedback

1. Which of the following formulas can be calculated using the perfect square formula ( )

2. Calculate using the perfect square formula:

4. Calculate (x-y) 2-(y+2x)( y-2x).

Complete square formula PPT, the third part: situation introduction

Students: Can you use two methods to express the area of ​​Figure A and the area of ​​the shaded part of Figure B?

Complete the following questions based on the graphics: As shown in the figure: both pictures A and B are squares:

(1) The area of ​​the square in Figure A is ____________, (expressed by algebraic formula);

The areas of Figures I, II, III, and IV are _____________ respectively.

From this we can get the equation:

(2) In Figure B, the area of ​​the square is III and the area is ______________,

The sum of the areas of Ⅰ, Ⅱ and Ⅳ is ____________,

Use the areas of B, I, II, and IV to represent the area of ​​III_______________.

3. Summarize the perfect square formula:

(a+b) 2= (a-b) 2=

Complete Square Formula PPT, Part 4 Content: Classroom Exploration

Exploration 1: Derivation process of perfect square formula:

2. Explore algorithms

3. Imitate calculations and look for patterns

(1) .( a-5) 2 =( ).

(2) .(x+2a2)2 =( ).

(3). 492 =( ) 2 =( ).

Exploration (1): Summary of perfect square formula

The operation rule of the perfect sum of squares formula: the square of the sum (or difference) of two numbers is equal to their sum of squares, plus (or subtracting) twice their product.

Analysis of classic examples

Example 1. Calculation

(1) (a+3b)2-(3a+b)2

Complete square formula PPT, part 5: in-class testing

1. Which of the following operations is correct ( )

A. a3+ a2＝2 a5 B． (-2 a3)2＝4 a6

C. (a+b)2＝a2+b2 D． a6÷a2＝a3

2. Point out the errors in the following formulas and correct them:

3. Calculate using the perfect square formula:

(1) (2x＋3)2 (2) (4x－5y)2

Complete square formula PPT, part six: summary of this lesson

The algorithm of perfect square formula:

The square of the sum (or difference) of two numbers is equal to the sum of the squares of the two numbers plus (or minus) twice the product of the two numbers.

Homework assignment

Homework: Complete the synchronization exercises in this section

Preview homework: Preview 1.7 "Preview Plan" in the "Division of Integers" tutorial

Keywords: Free download of Beijing Normal University version of seventh grade mathematics volume 2 PPT courseware, complete square formula PPT download, multiplication and division of integers PPT download, .PPT format;

For more information about the PPT courseware "Perfect Square Formulas for Multiplication and Division of Integers", please click on the PPT Complete Square Formulas for Multiplication and Division of Integers PPT tab.

"Perfect Square Formula" PPT courseware for multiplication and division of integers (Lesson 2):

"Perfect Square Formula" Multiplication and Division of Integers PPT Courseware (Lesson 2) Part One: Learning Objectives 1. Further master the perfect square formula; (Key Points) 2. Flexibly use the perfect square formula for calculations. (Difficulty) ... ... ... Complete Square Formula PPT..

"Perfect Square Formula" Multiplication and Division of Integers PPT Courseware (Lesson 1):

"Perfect Square Formula" Multiplication and Division of Integers PPT Courseware (Lesson 1) Part One: Learning Objectives 1. Understand and master the derivation process and structural characteristics of the perfect square formula; (Key Points) 2. Be able to use formulas to perform simple operations. ( Difficulty) ... ... ... ... ..

"Formula Method: Complete Square Formula" Multiplication and factorization of integers PPT:

"Formula Method: Complete Square Formula" Multiplication and Factorization of Integers PPT Part One: Knowledge Review What methods of factoring have we learned? Common factor method: pa+pb+pc=p(a+b+c) Formula method of square difference formula method: In addition to the common factor of square difference...

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Update Time: 2024-10-02

This template belongs to Mathematics courseware Beijing Normal University Edition Seventh Grade Mathematics Volume 2 industry PPT template

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