How to write the vertical expression for division in third grade
Vertical division is an important content in primary school mathematics, especially for third grade students. Mastering the correct column method is the key to laying a good foundation in mathematics. This article will combine the popular education topics on the Internet in the past 10 days to explain in detail how to solve vertical formats for parents and children, and provide structured data to help understand.
1. Basic concepts of vertical division
Division vertical expression is a calculation method that visually presents the division operation process. It helps students complete division operations step by step through a specific format, especially suitable for the calculation of dividing multiple digits by one digit.
| Terminology | explain |
|---|---|
| dividend | The total number of divisions |
| divisor | number to divide |
| Business | result of division operation |
| remainder | part that cannot be divided |
2. Steps to list the vertical expression of division
The following are the basic vertical division methods that third grade students need to master:
| steps | Operating Instructions | Example(48÷3) |
|---|---|---|
| 1 | Write the division sign "factory" glyph symbol | factory |
| 2 | The dividend is written within the division sign | Factory 48 |
| 3 | The divisor is written to the left of the division sign | 3 factories 48 |
| 4 | Start trial business from a high position | 4÷3quotient1 |
| 5 | Write the quotient above the division sign | 1 |
| 6 | Multiplication and subtraction operations | 3×1=3, 4-3=1 |
| 7 | drop next digit | 18 |
| 8 | Repeat trial business process | 18÷3=6 |
| 9 | final result | 16 |
3. Common errors and correction methods
According to recent hot discussions on education forums, third-grade students often make the following mistakes when learning vertical division:
| Error type | Error performance | Correction method |
|---|---|---|
| Trial business error | Quotient value is too large or too small | Use the multiplication table to estimate first |
| Bit value alignment error | Wrong number position | Use grid paper to assist alignment |
| Missing steps | Forgot to multiply, subtract or place | Step by step checklist |
| Improper handling of remainders | remainder greater than divisor | Retry business calculations |
4. Teaching Suggestions and Techniques
Combining recent popular suggestions from education experts, the following are effective ways to help third-grade students master the vertical form of division:
1.physical demonstration method: Use small sticks, building blocks and other physical objects to demonstrate in groups, allowing students to intuitively understand the concept of division.
2.step-by-step practice: Break down the vertical division formula into multiple small steps and practice each link step by step.
3.formula memory method: Create simple formulas to help students remember the steps, such as "one divided by two multiplied by three minus four".
4.Wrong question analysis method: Collect students’ common mistakes and provide targeted explanations and exercises.
5.Gamified learning: Design division games to improve learning interest.
5. Examples of exercises
The following are popular third grade division exercises on recent educational websites:
| title | difficulty | answer |
|---|---|---|
| 63÷7 | simple | 9 |
| 84÷6 | medium | 14 |
| 125÷5 | more difficult | 25 |
| 96÷8 | medium | 12 |
| 72÷3 | medium | 24 |
6. Key points for parent counseling
According to recent popular discussions on parent forums, when tutoring children to learn vertical division, you should pay attention to:
1.stay patient: Understand that this is a process that takes time, and don’t rush.
2.Encouragement is the main thing: Praise progress more and criticize mistakes less.
3.contact life: Explain the concept of division using practical examples from life.
4.Review regularly: Arrange appropriate review time to consolidate knowledge.
5.Communicate with teachers: Understand the school’s teaching progress and methods.
Through the above systematic explanation and presentation of structured data, I believe that third-grade students can better master the vertical expressions of division. Remember, mathematics learning is a step-by-step process. With more practice, you will definitely make progress!
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