"Application of linear equations of two variables - chicken and rabbit in the same cage" PPT courseware of linear equations of two variables

Description

"Application of linear equations of two variables - chicken and rabbit in the same cage" PPT courseware of linear equations of two variables

teaching objectives

Experience and experience the process of formulating a system of equations to solve practical problems, further understand that equations (sets) are effective mathematical models that describe the real world, and cultivate students' mathematical application abilities.

Teaching focus

Review the question clearly. Find the correct equivalence relationship from real problems. Establish corresponding equations to solve.

Teaching difficulties

Understand the connection between mathematical knowledge and real-life problems, and master strategies for using mathematical methods to solve practical problems.

Total number of feet ÷ 2 - total number of heads = number of rabbits

It can be calculated in this way mainly because the number of rabbit and chicken feet is 4 and 2 respectively, and 4 is a multiple of 2. But when other problems are transformed into this kind of problem, the number of feet is not necessarily 4 and 2, and the above calculation method will not work.

1. What does "there are 35 heads on the mountain" mean? What about "94 feet underneath"?

2. Can you formulate an equation based on the quantitative relationship in (1)?

3. Can you solve this interesting problem?

Logging with a rope. If the rope is folded three times and measured, the rope is five feet longer; if the rope is folded three times and measured, the rope is one foot longer. What are the rope length and well depth?

Use a rope to measure the depth of a well. If you fold the rope into three equal parts, one part of the rope will be 5 meters longer than the depth of the well. If you fold the rope into four equal parts, one part of the rope will be 1 foot longer than the depth of the well. How many feet are the length of the rope and the depth of the well?

Formulate a system of equations according to the meaning of the question

1. A cricket has 6 legs and a spider has 8 legs. There are 10 crickets and spiders in total, with a total of 68 legs. How many crickets are there and how many spiders are there?

2. In order to protect the environment, members of a school's environmental protection team collected waste batteries. On the first day, 4 No. 1 batteries and 5 No. 5 batteries were collected, with a total weight of 460 grams. On the second day, 2 No. 1 batteries and 3 No. 5 batteries were collected, with a total weight of 240 grams. How about the total weight of No. 1 batteries? How many grams does each AA battery weigh?

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For more information about the PPT courseware "A system of linear equations of two variables and the application of linear equations of two variables, a chicken and a rabbit in the same cage", please click the "System of linear equations in two variables ppt application of a system of linear equations of two variables and a chicken and a rabbit in the same cage" ppt tag.

"Application of linear equations of two variables - chicken and rabbit in the same cage" PPT courseware of linear equations of two variables 3:

"Application of linear equations of two variables in a chicken and rabbit in the same cage" PPT courseware of linear equations of two variables 3 The main idea of ​​the topic is to use a rope to measure the depth of a well. If the rope is folded into three equal parts, the length of one part of the rope is 5 feet longer than the depth of the well; if The rope is folded into four equal parts. The length of one part of the rope is 1 foot more than the depth of the well. The rope...

"Application of linear equations of two variables - chicken and rabbit in the same cage" PPT courseware of linear equations of two variables 2:

"A Chicken and a Rabbit in a Cage for a System of Quadratic Linear Equations" PPT courseware for a system of linear equations of two variables 2 A chicken and a rabbit in a cage is a famous ancient Chinese arithmetic problem. It was first seen in the 31st question of the second volume of "Sun Zi Suan Jing": Pheasant and rabbit in a cage. , is widely spread, and many mathematical application problems can be transformed into this kind of...

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Update Time: 2024-09-08

This template belongs to Mathematics courseware Beijing Normal University eighth grade first volume mathematics industry PPT template

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