"Laws of Exploration and Expression" Integral formulas and their addition and subtraction PPT download

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"Laws of Exploration and Expression" Integral formulas and their addition and subtraction PPT download

Part One: Learning Objectives

1. Be able to use algebraic expressions to express the changing patterns of numbers and graphics. (Key points)

2. Further cultivate students’ thinking abilities and application awareness such as observation, analysis, abstraction, and generalization. (Difficulty)

Exploring and expressing rules PPT, part 2: introducing new lessons

Ask the students to stretch out their left hands and play the following game together: starting from the thumb, count the numbers 1, 2, 3, 4, 5,..., like the hand shown in the picture. Which finger does the number 20 fall on? superior?

Can you quickly tell which finger the number 200 falls on? What about 2000?

Exploring and expressing rules PPT, the third part: teaching new lessons

Laws in the change of numerical expressions

collaborative inquiry

(1) Please find the relationship between three adjacent numbers on the same horizontal line:

(2) Ask students to find the relationship between three adjacent numbers in a vertical row;

(3) Ask students to find the relationship between three adjacent numbers on the upper left, lower right diagonal;

(4) Ask students to find the relationship between three adjacent numbers on the diagonal line of the lower left and upper right.

expressed algebraically

(a-8)+(a-7)+(a-6)+(a-1)+a+(a+1)+(a+6)+(a+7)+(a+8) = ______

Conclusion: The sum of the nine numbers in the green box = 9 × the number in the middle

Method induction

Use algebraic expressions to express the law of change of numbers:

(1) The numbers are integers. Consider whether there are rules in the sum, difference, product, quotient, sign, etc. of two adjacent numbers, or there are rules in odd, even, square, etc.;

(2) Numbers are fractions, and the changing patterns of the numerator and denominator and the connection between them can be observed respectively;

(3) If it is an equation (or table) that expresses the change pattern of numbers, you can write each equation correspondingly, and then compare the relationship between the numbers in each row and column to find out the pattern.

Exploring and expressing rules PPT, part 4: practice in class

Observe the following equation:

32-12=4×2;

42-22=4×3;

52-32=4×4;

( )2-( )2=( )×( );

Fill in the 4th equation, the nth equation is _______________

Exploration and Expression Rules PPT, Part 5: Class Summary

Explore and express patterns

Laws in the change of numerical expressions

Explore, Conjecture, Verify

Rules in graphics splicing

Special General

Keywords: Beijing Normal University edition seventh-grade mathematics PPT courseware free download, exploration and expression of rules PPT download, integers and their addition and subtraction PPT download, .PPT format;

For more information about the PPT courseware "Integral Formulas and Their Addition and Subtraction Exploration and Expression Rules", please click the Integer Expressions and their Addition and Subtraction PPT Exploration and Expression Rules PPT tab.

"Laws of Exploration and Expression" Integral formulas and their addition and subtraction PPT (Lesson 2):

"Exploring and Expressing Rules" Integral formulas and their addition and subtraction PPT (Lesson 2) Part 1 content: Basic knowledge points are represented by letters and explained with the help of operations to explain the rules or phenomena 1. There is a game rule: you want to multiply a number by 2 and add it Divide 6 by 2 and subtract the number you want...

"Laws of Exploration and Expression" Integral formulas and their addition and subtraction PPT (Lesson 1):

"Exploration and Expression Rules" Integral formulas and their addition and subtraction PPT (Lesson 1) Part 1 content: Basic knowledge points Basic knowledge point 1 Change rules of mathematical formulas 1. Observe a set of numbers 3579, then the nth number can be expressed as (D) A .2( n-1 ) B.2n-1 C.2( n+1 ) D.2n+1 ..

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Update Time: 2024-07-06

This template belongs to Mathematics courseware Beijing Normal University Edition Seventh Grade Mathematics Volume 1 industry PPT template

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