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Authoritative PPT Summary
"Solve practical problems with two unknowns using equations" Equations PPT courseware
teaching objectives
1. Combined with specific examples, experience the process of using line segment diagrams to analyze quantitative relationships and making equations to solve slightly complex problems involving two unknowns.
2. Be able to use line segment diagrams to analyze quantitative relationships, and be able to formulate equations to answer applied problems involving two unknowns.
3. Feel the intuitiveness of drawing and analyzing quantitative relationships, and initially experience the advantages of combining ideas with numbers and shapes and drawing and analyzing problems.
Explore new knowledge
How many flower chickens and black chickens does grandma raise?
Tell me what information you learned from the picture?
What quantitative relationships did you discover from the line graph?
Number of black chickens + number of flower chickens = total number of chickens
The number of flower chickens = the number of black chickens + 16
A car sales company sold a total of 68 cars and vans in the fourth quarter of last year.
How many cars and vans did this company sell in the fourth quarter of last year?
Can you draw a line graph based on the information in the figure?
What quantitative relationships did you discover from the line graph?
Number of vans + number of cars = total sales
Number of cars = number of vans × 3
practice
1. The fourth and fifth grade students planted a total of 108 trees, and the fifth grade students planted 22 more trees than the fourth grade students. How many trees should each of the fourth and fifth grade students plant?
Solution: Suppose the fourth grade students plant x trees, then the fifth grade students plant (x + 22) trees.
x+22+x=108
2x+22=108
2x=108-22
x=43 Five: 43+22=65 (tree)
Answer: 43 trees were planted in the fourth grade and 65 trees were planted in the fifth grade.
2. The unit price of a mobile phone is five times that of a telephone. How much are the unit prices of mobile phones and telephones?
Solution: Suppose the unit price of the telephone is x yuan, then the unit price of the mobile phone is 5x yuan.
5x+x=1590
6x=1590
x=265
Mobile phone unit price = 265×5 = 1325 (yuan)
Answer: The unit price of mobile phones is 1,325 yuan, and the unit price of telephones is 265 yuan.
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