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"Practical Problems and Quadratic Equations of One Variable" PPT Courseware 3 of Quadratic Equations of One Variable
Try to explore, cooperate and communicate, and solve problems
1. How do you understand doubling?
(Doubling it is twice the original net income. If the original value is 1, then the value after two years will be 2)
2. How do you understand “average annual growth rate”?
("Average annual growth rate" means that the percentage of net income growth is the same value every year. That is, it increases by the same percentage every year, but the absolute number of growth is different)
3. After independent thinking, communicate and discuss in groups.
4. Show results and complement each other.
Expand applications
In Example 1, what does (1) double mean? Assuming the original value is 1, how should the equation be listed? Assuming the original value is A, how should the equation be listed?
(2) If the plan is adjusted and the net fiscal revenue value after two years is 1.5 times, 1.2 times, etc. of the original value, what will the average annual growth rate in the two years be adjusted accordingly?
And if the growth rate in the second year is twice that of the first year, what is the growth rate in the first year that can double the city's net fiscal revenue?
Summary and expansion
The general steps for solving word problems using equations are:
1. Review: Review the meaning of the question: what is known and what is sought?
2. Assume: Assume an unknown number, the statement must be complete, and if there is a unit (the same), the unit must be indicated;
3. Column: Column algebraic expressions, find equations of equality series;
4. Solution: Solve the equations listed;
5. Check: whether it is the root of the listed equation; whether it conforms to the meaning of the question;
6. Answer: The answer must also be a complete sentence, indicate the unit and be close to life.
The key to solving word problems using equations is to find the equality relationship.
General relationship on the problem of two average growth (decrease) rates:
A(1±x)2=B (where A represents the base number, x represents the growth (or decrease) rate, and B represents the new number)
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"Practical Problems and Quadratic Equations of One Variable" PPT courseware for quadratic equations:
"Practical Problems and Quadratic Equations" PPT courseware teaching objectives for quadratic equations: 1. Be able to list word problems for solving quadratic equations; 2. Further master the steps and keys to solving word problems; 3. Use multiple solutions to one problem Students understand the essence of formulating equations and develop flexible...