"Chicken and Rabbit in the Same Cage" Discovery Park PPT Courseware

Description

"Chicken and Rabbit in the Same Cage" Discovery Park PPT Courseware

teaching objectives

1. Experience the process of independent learning, communication and using different methods to solve the problem of "chicken and rabbit in the same cage".

2. Be able to use equations or hypothesis methods to solve the "chicken and rabbit in the same cage" problem, and experience the diversity of problem-solving methods.

3. Obtain methods and experience in solving the "chicken and rabbit in the same cage" problem, and believe that you can learn mathematics well.

situation creation

"Today there are pheasants and rabbits in the same cage. There are thirty-five heads on top and ninety-four legs on the bottom. How many pheasants and rabbits are there?" ——"Sun Tzu's Sutra"

Meaning: There are several chickens and rabbits in the same cage. Counting from the top, there are 35 heads, and counting from the bottom, there are 94 legs. How many chickens and rabbits are there in the cage?

Explore new knowledge

How many chickens and rabbits are there?

Tell me how the child in the picture calculated that he has 68 legs?

It is known that chickens and rabbits have a total of 22 heads and 70 legs. How many chickens and rabbits are there?

It can be concluded from the table that there are 9 chickens and 13 rabbits.

Solution: Suppose there are x rabbits, then there are (22-x) chickens.

4x+2×(22-x)=70

4x+44-2x=70

2x+44＝70

2x=70-44

2x=26

x=13

Number of chickens: 22-13=9 (birds)

Answer: There are 9 chickens and 13 rabbits.

Hypothesis method:

[Method 1] Assume that these 22 chickens are all chickens.

(1) Based on 22 chickens, the number of legs is: 22×2=44 (pieces)

(2) Less than the actual number of legs of chickens and rabbits: 70-44=26 (pieces)

(3) Because each rabbit has 2 less legs, the number of rabbits can be calculated: 26÷2=13 (only)

(4) Number of chickens: 22-13=9 (birds)

Answer: There are 9 chickens and 13 rabbits.

[Method 2] Assume that these 22 are all rabbits.

(1) Calculated based on 22 rabbits, the number of legs is: 22×4=88 (pieces)

(2) Less than the actual number of legs of chickens and rabbits: 88-70=18 (pieces)

(3) Because each chicken has 2 extra legs, the number of chickens can be calculated: 18÷2=9 (birds)

(4) Number of rabbits: 22-9=13 (only)

Answer: There are 9 chickens and 13 rabbits.

Consolidate application

practice

1. There are 23 turtles and ducks in the pond, and they have 60 legs in total. How many turtles and ducks are there?

There are 7 turtles and 16 ducks.

2. Use 100 yuan to buy each of the following washing liquids. (Answer using list method)

(1) 1 bottle for 12 yuan, 11 bottles for 8 yuan.

(2) 3 bottles for 12 yuan, 8 bottles for 8 yuan.

(3) 5 bottles for 12 yuan, 5 bottles for 8 yuan.

(4) 7 bottles for 12 yuan, 2 bottles for 8 yuan.

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Update Time: 2024-09-07

This template belongs to Mathematics courseware Hebei Education Edition Fifth Grade Mathematics Volume 1 industry PPT template

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