"Perfect Square Formula" PPT Courseware 3

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"Perfect Square Formula" PPT Courseware 3

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1. Be proficient in using the perfect square formula for calculations;

2. Flexibly use square differences and perfect square formulas for mixed operations;

3. In the process of applying multiplication formulas for calculations, feel the role and value of multiplication formulas.

Review the past and learn the new

What multiplication formulas did you learn in the first two sections?

a2 - b2 = (a+b)(a-b)

(a + b)2 = a2 + 2ab + b2

(a - b)2 = a2 - 2ab + b2

Consolidation exercises

1. (x+3)(x－3)= X2－9

2. (2x+5)2 =4x2+20x+25

3. (a2+b2)(a2-b2)=a4-b4

4. (-3m+4n)2=9m2-24mn+16m2

Explore new knowledge

Calculate: (x-2y)(x+2y) -(x+2y)2+8y2

Calculation: 1. [2(m+1)]2-(2m+1)(2m-1)

= 4(m2+2m+1) - (4m2 -1)

= 4m2+8m+4－ 4m2 + 1

= 8m+5

2. 4x2-(-2x+3)(-2x-3)

= 4x2 -(4x2 -9)

= 4x2 -4x2 +9

=9

Classroom testing

1. Multiple choice questions

In order to apply the square difference formula to calculate (2x+y+z)(y-2x-z), the following deformation is correct ( )

A． [2x-（y+z）] 2

B． [2x+（y+z）][2x－（y+z）]

C. [y+（2x+z）][y－（2x+z）]

D. [z+（2x+y）][z－（2x+y）]

2. Calculation

3(x+1)(x-1) -(3x+2)2

=3(x2－1)－(9x2+12x+4)

=3x2-3-9x2-12x-4

=-6x2-12x-7

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"Perfect Square Formula" PPT courseware 2:

"Perfect Square Formula" PPT courseware 2 Mathematical expression of the perfect square formula: (a+b)2= a2 +2ab+b2 (a-b)2= a2 - 2ab+b2 Text description of the perfect square formula: The sum of two numbers (or difference) squared, is equal to the sum of their squares, plus (or minus..

"Perfect Square Formula" PPT courseware:

"Perfect Square Formula" PPT courseware review 1. Describe the content of the square difference formula and express it with letters. The product of the sum of two numbers and the difference of the two numbers is equal to the square difference of the two numbers. The formula is expressed as: (a+b ) (a-b)=a2 b2 2. 103 97=(100+3) (100-3) ..

"Perfect Square Formula" Operations of Integers PPT Courseware 3:

"Perfect Square Formula" Operations of Integers PPT Courseware 3 Activity 1 Explore and calculate what rules you can find in the following formulas? 1. (p+1)2 = (p+1) (p+1) = ______; 2. (m +2)2= _________; 3.(p-1)2 = (p-1 ) (p-1) = ________; 4.(..

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Update Time: 2024-11-19

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

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