"Solving Slightly Complex Encounter Problems by Using Equations" Equations PPT Courseware

Description

"Solving Slightly Complex Encounter Problems by Using Equations" Equations PPT Courseware

teaching objectives

1. Combined with specific examples, experience the process of independently trying to find equivalence relationships and making equations to solve slightly complex encounter problems.

2. Be able to find equivalence relationships in encounter problems, be able to list equations and solve them, and be able to express the process of thinking about problems in an organized manner.

3. Be able to explore effective ways to use equations to solve encounter problems, understand the diversity of problem-solving methods, and gain successful experience in solving problems independently.

Review old knowledge

Xiaodong and Xiaoying walked toward each other from a distance of 360 meters at the same time. Xiaodong walks 50 meters per minute, and Xiaoying walks 40 meters per minute. How many minutes did it take for the two to meet?

360÷（50＋40）

=360÷90

=4 (minutes)

Answer: They met after 4 minutes.

Explore new knowledge

Two trains A and B departed from Beijing and Shanghai at the same time, traveling in each other's direction, and met each other after 7 hours. How many kilometers does a car travel per hour on average?

Talk about what mathematical information you learned and what problems you want to solve.

The distance traveled by car A in 7 hours + the distance traveled by car B in 7 hours = 1463 kilometers

The distance traveled by car A in 7 hours = total distance ÷ the distance traveled by car B in 7 hours

(Speed ​​of car A + speed of car B) × 7 = total distance

Vehicle A’s speed + Vehicle B’s speed = total distance ÷7

give it a try

1. Each bag of rice weighs 50 kilograms and each bag of flour weighs 25 kilograms. This car is loaded with 48 bags of rice. How many bags of flour can it hold?

Solution: Suppose it can also hold x bags of flour.

3 tons = 3000 kilograms

50×48＋25x＝3000

2400＋25x=3000

25x=3000-2400

25x＝600

x=24

Answer: It can also hold 24 bags of flour.

2. Zhang Village and Licun built a road together. They started construction from one end of the village at the same time and completed it in 16 days. When completed, Zhang Village had built 80 meters more than Li Village. On average, Zhangcun repairs 75 meters per day. How many meters does Licun repair per day?

Solution: Let Licun repair x meters on average every day.

75×16－16x＝80

1200－16x=80

16x=1200-80

16x=1120

x=70

Answer: Licun builds an average of 70 meters a day.

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Update Time: 2024-11-17

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

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