Funny fraction stories: Share some interesting fraction stories.Once, there was a pizza divided into 8 slices. Tom ate 3 slices. So he ate 3/8 of the pizza. His sister was so hungry that she ate the remaining 5 slices, which is 5/8 of the pizza. It was a simple yet funny fraction story about sharing food.
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2024-12-09 13:08
Formula for fraction and simplicityThere wasn't a single formula for fraction reduction, but it could be summarized as follows:
1. For the case where the numerator and numerator of the fraction had a quotient, the factor decomposition was performed first. This helped to discover the resolvable parts of the numerator and the numerator.
2. Observe the coefficient of each term in the fraction to see if there is a common factor that can be extracted to simplify the fraction.
3. When a fraction had a fraction to add or subtract, the general fraction would first transform it into a fraction with the same numerator before performing the operation. The general fraction was to find the lowest common multiple of each numerator as the numerator after the general fraction.
4. In the process of reduction, one had to pay attention to the order of operations, following the principle of first multiplying and dividing, then adding and deducting. If there were parenthesis, calculate the formula in the parenthesis first.
5. After the reduction was completed, the result was checked to see if it was the simplest fraction, which meant that the numerator and numerator could no longer be reduced.
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Funny fraction stories: How can fraction stories be used in teaching kids?Fraction stories can make the concept more relatable. For example, if you tell a story about sharing a cake among friends. Say there are 4 friends and a cake is divided into 8 slices. Each friend gets 2 slices, which is 2/8 or 1/4 of the cake. Kids can better understand the idea of fractions as parts of a whole through such stories.
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2024-12-09 19:41
Ten Techniques of Fraction ReductionThe technique of fraction reduction was as follows:
1. First reduce, then general division method: When calculating the addition and substitution of different decimators, you can first decompose each fraction's numerator and decimator into a factor, and then carry out subsequent calculations after reducing.
2. The grouping general fraction method: According to the characteristics of the fraction, the grouping general fraction method is used to simplify the calculation.
3. Item-by-item general division method.
4. Separation fraction method: Separates the fraction reasonably to simplify it.
5. The method of splitting items.
6. [Whole general division, and then simplify: For the addition and deduction of a fraction and an integral expression, the whole general division can be simplified to solve the problem.]
7. Sequential addition, general fraction, and calculation: When multiple general fraction in the fraction addition operation is troublesome, observe the characteristics of the decimal, add them from left to right, and then divide them in order to simplify the calculation.
8. Split-term elimination method: If the difference between the two factors in the fraction's numerator is 1, the split-term addition method can be used to calculate.
9. Reciprocal evaluation, global substitution: When the fraction structure presents certain characteristics, it can be solved by calculating the reciprocals and global substitution.
10. In some cases, it would be easier to simplify the false fraction into the form of the sum of the whole fraction and the true fraction.
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The Basic Methods of Fraction ReductionThe basic method of fraction reduction was as follows:
1. * * Factoring **: To find the parts that can be reduced by decomposing the numerator and numerator. For example, using the complete square difference formula [a 2 - 2ab + b 2 =(a-b) 2] and the square deviation formula [a 2-b 2 =(a + b)(a-b)] to decompose.
2. * * Reduction **: Reduce the same factor in the numerator and numerator to simplify the fraction.
3. * * General Fraction **: For addition and substitution of a fraction with different predictors, the simplest common numerator must be found, and the fraction must be converted into a fraction with the same numerator before the operation.
4. * * Calculating according to the order of operations **: Calculating according to the order of multiplication and division, then addition and addition. If there are any parenthesis, calculate the formula in the parenthesis first.
5. * * Special Skill **:
- * * Reduce first, then calculate **: When calculating the addition and substitution of different decimators, you can first decompose the numerator and the decimal of each fraction into factors, and then calculate after reducing.
- * * Whole General Fraction **: For the addition and deduction of a fraction and an integral expression, the whole general fraction method can be used to simplify.
- * * Sequential addition, successive general fraction **: When there are many fraction in the fraction addition operation, if you add them from left to right and divide them in turn, the calculation can be simplified.
- * * Split-term Elimination Method **: If the difference between the two factors in the decimal of the fraction is 1, you can use a specific formula to calculate the split-term addition method.
- * * Inverse evaluation, whole substitution **: For some evaluation problems, you can first find the value of the inverse of the fraction, and then get the value of the original formula.
- * * Separation fraction method **: To simplify a fraction by splitting it into the sum or difference of several fraction.
- * * Set unit 1 **: If the total amount of work or the total distance is not specified in the distance problem or the engineering problem, you can set it as a unit of 1 to simplify the calculation.
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The 8 Basic Steps of Fraction ReductionThe following are the basic steps for fraction reduction:
1. [Factoring: Factoring the numerator and numerator of a quotient. This will help you find the common factor to reduce the number of factors.]
2. Dealing with negative exponents: If there are negative exponents, according to the calculation rules of negative exponents, the negative sign of the exponents represents the reciprocals, and it is converted into the form of positive exponents.
3. Observe the order of operations: first multiply, then multiply and divide, then add and subtract. If there are parenthesis, calculate the ones in the parenthesis first.
4. Dealing with the operation of the fraction and the whole expression: Treat the whole expression as a fraction structure with a quotient of 1, and then perform the operation according to the law.
5. Division to multiplication: If there is a division operation, it must be converted into a multiplication operation, which is to multiply the numerator and numerator of the division by the division.
6. Reduction: Find the common factor of the numerator and the decimal to reduce the fraction into the simplest form. However, you must pay attention to judging the fraction before the reduction. You cannot judge the relevant properties of the fraction after the reduction.
7. Combining similar terms: For similar terms in the fraction, such as similar terms in the numerator and numerator or similar terms in the parenthesis, they are combined and simplified.
8. Checking the Denominator: Make sure that the Denominator in the process of reduction is not 0, and at the same time, make sure that the original fraction and the fraction that appears in the process of reduction are meaningful during the final substitution evaluation.
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How to explain the kindergarten fractionTo explain the kindergarten fraction, one could start from the following aspects:
** 1. Introduction Stage **
1. Introduction of life examples
- He could ask the children about the scores they usually used in their lives, such as how many apples could be divided into and how many portions were eaten. This would allow the children to get a preliminary understanding of the concept of scores, thus paving the way for the introduction of the concept of fraction.
2. interactive guidance
- Ask the children to review the content of the previous mathematics course, guide the children to the blackboard and draw what they think is a "fraction equation"(This kind of interaction method can also be used for the concept of fraction). Then let them speak and discuss the relevant concepts together.
** 2. Concept explanation segment **
1. Physical demonstration
- When explaining the concept of fraction, you can use a physical demonstration method, such as dividing a small ball into several parts as a demonstration, and then ask the child how many parts to divide, how many parts to divide, etc., to guide the child to understand the meaning of "fraction".
2. Basic structure explanation
- From the concept of fraction to fraction, the concept of numerator and numerator of fraction and how to read them were explained. On this basis, the children would understand the representation of fraction, which was also a mathematical expression composed of numerator and numerator.
** 3. Explanation of calculation (if involved)**
1. simple example
- He started with simple fraction calculations. For example, he would start with addition and substitution of the same decimal fraction. He would use simple examples like 1/2+1/2 to let the children understand the basic rules of fraction calculations.
2. Gradually increase the difficulty
- After the children had mastered simple calculations, they would gradually introduce calculations with different zeros to guide the children to think about how to solve problems through methods such as general fraction.
** 4. Practice and feedback segment **
1. class exercise
- Let the children combine the knowledge taught in the classroom and solve some fraction problems by themselves. Then let the children observe each other and check the answers.
2. Sharing solution ideas
- The teachers guided the children to share their own ideas and methods to solve the problem, so that each child could show their own thinking process and results. According to the children's feedback, the teachers understood their mastery of the concept of fraction and calculation methods, and explained and emphasized the existing problems again.
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2024-12-10 17:11