Matematika SD: Pembagian Bilangan Cacah || Siap #AKM Asesmen kompetensi minimum 2021Numerasi

Summary

In this video, Amanda from the YouTube channel Bimed 45 provides an accessible explanation of division for elementary school students. She covers two key models for understanding division: the set model and the measurement model, demonstrating with examples like dividing 20 students into 4 groups. She also introduces the Factor Machine approach to solve division problems and discusses the concept of division by zero. Further, Amanda explains the repeated subtraction approach and its application in dividing numbers. The video concludes by emphasizing how teaching division through problem-posing helps students connect mathematical concepts to real-life situations.

Takeaways

• 😀 Division of whole numbers can be explained through two models: the set model and the measurement model.
• 😀 In the set model, a number is divided into equal subsets, with the number of members in each subset representing the quotient.
• 😀 The measurement model divides a total number into several parts and calculates how many parts can be formed.
• 😀 An example of the set model: dividing 20 students into 4 groups results in 5 members per group.
• 😀 An example of the measurement model: dividing 20 students into groups of 4 results in 5 groups.
• 😀 The Factor Machine (or missing factor) approach can be used to solve division problems by finding the relationship between multiplication and division.
• 😀 Using multiplication facts, like 4 × 5 = 20, helps derive that 20 ÷ 4 = 5 and 20 ÷ 5 = 4.
• 😀 When using the Factor Machine approach, we seek the factor (quotient) that satisfies the equation for division.
• 😀 Division by zero is undefined because dividing any number by zero does not yield a valid result.
• 😀 Division by zero can lead to two cases: if dividing by zero results in an indeterminate equation or an undefined result.
• 😀 The repeated subtraction approach shows how division can be solved by subtracting the divisor repeatedly until reaching a remainder less than the divisor.
• 😀 Problem posing (students creating their own division problems) helps enhance understanding and applies division concepts to real-world contexts.

Q & A

What are the two models of division discussed in the video?

The two models of division discussed are the set model and the measurement model.

How does the set model work for division?

In the set model, you divide a total number of items into equal groups or subsets. For example, 20 divided by 4 involves dividing 20 items into 4 equal groups, with each group containing 5 items.

What is the measurement model of division?

In the measurement model, you have a total measure (e.g., 20 units) and divide it into equal parts. For example, 20 divided by 4 means dividing the 20 units into 4 equal parts, each part containing 5 units.

What is the Factor Machine approach to division?

The Factor Machine approach involves finding the factor that, when multiplied by the divisor, gives the dividend. For example, if 24 is divided by 8, the factor is 3 because 8 multiplied by 3 equals 24.

What does division by zero mean, and why is it undefined?

Division by zero is undefined because there is no number that, when multiplied by zero, will give a non-zero result. Dividing any number by zero leads to an impossible scenario.

What happens when zero is divided by any non-zero number?

When zero is divided by any non-zero number, the result is zero. This is because zero divided by any number is always zero.

What is the repeated subtraction approach to division?

The repeated subtraction approach involves subtracting the divisor from the dividend repeatedly until the remainder is less than the divisor. For example, 44 divided by 13 involves subtracting 13 from 44 multiple times until the remainder is less than 13.

How does the division process work when there is a remainder?

When there is a remainder, the division process results in a quotient and a remainder. For example, 44 divided by 13 gives a quotient of 3 with a remainder of 5, meaning 44 equals 13 times 3 plus 5.

What does it mean if a division problem has no remainder?

If a division problem has no remainder, it means the dividend is divisible by the divisor. For example, 39 divided by 13 has a remainder of 0, so 39 is divisible by 13.

How can problem posing or submitting problems help students in understanding division?

Problem posing helps students apply their understanding of division to real-world contexts. It encourages critical thinking and allows students to explore different scenarios and better understand the concept of division.