"Multiplication Formula" Multiplication, division and factorization of integers PPT courseware 5

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"Multiplication Formula" Multiplication, division and factorization of integers PPT courseware 5

1. Scenario introduction

Ask students to explore the following questions: An old man likes children very much. Whenever children come to his home as guests, the old man will treat them with candy. When a child comes, the old man will give the child a piece of candy. When two children come, the old man will give each child two pieces of candy... (1) On the first day, a boy went to the old man's home. How many pieces did the old man give to these children in total? sugar? (2) The next day b girls went to the old man’s home. How many pieces of candy did the old man give these children in total? (3) On the third day, these (a+b) children went to see the old man together. How many pieces of candy did the old man give these children in total? (4) Which is more, the number of candies these children got on the third day or the total number of candies they got on the first two days? How much more? Why?

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

2. Exploring new knowledge

In the above problem, we encountered the operation of the square of the sum of two numbers. How to perform such operation?

Can we convert (a+b)2 into the knowledge we have learned to solve it?

We know that a2=a·a, so (a+b)2=(a+b)(a+b), which converts it into the product of polynomial and polynomial.

3. Summary review

1. What is the content of the perfect square formula?

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

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

2. Ask students to summarize the structural characteristics of the perfect square formula.

The left side of the formula is the perfect square of a binomial; the right side is three terms, two of which are the squares of each term of the binomial on the left. The other term is twice the product of the two terms in the binomial on the left.

3. We must correctly understand the broad meaning of the letters in the formula: it can be a number, letter or other algebraic formula. As long as it conforms to the structural characteristics of the formula, you can use this formula

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"Multiplication Formula" PPT:

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"Multiplication Formula" Multiplication, division and factorization of integers PPT courseware 4:

"Multiplication Formula" Multiplication, Division and Factorization of Integers PPT Courseware 4 Review the old knowledge of the square difference formula (a + b) (a b) = a2 - b2 Then whether (a+b)(a+b) and (a-b)(a-b) Can it also be expressed using a formula? Explore Calculate the following expressions, what can you find...

"Multiplication Formula" Multiplication, division and factorization of integers PPT courseware 3:

"Multiplication Formula" Multiplication, division and factorization of integers PPT courseware 3 Activity 1 Knowledge review of polynomials and the rules for multiplication of polynomials: To multiply polynomials, first multiply each term of one polynomial by each term of another polynomial, and then Add the resulting products. (a+b..

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Update Time: 2024-10-22

This template belongs to Mathematics courseware People's Education Press Eighth Grade Mathematics Volume 1 industry PPT template

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