Bar models, also known as strip diagrams, are a visual tool used to solve division problems. They help represent the problem visually, making it easier to understand and solve. This method is particularly useful for teaching division to children.
Understanding Bar Models in Division
A bar model represents the total quantity as a whole bar. This bar is then divided into sections representing the parts of the division problem.
- The Total: The entire length of the bar represents the total amount or dividend.
- The Divisor: The number of equal parts the bar is divided into represents the divisor.
- The Quotient: The length of each equal part represents the quotient (the answer).
Example: 14 Divided by 2
Let's say we want to solve 14 รท 2 using a bar model:
- Draw a bar: Draw a long rectangle to represent the total, 14.
- Divide the bar: Since we're dividing by 2, divide the bar into two equal sections.
- Find the value of each section: Each section represents 14 / 2 = 7.
The bar model visually shows that 14 divided into 2 equal parts results in 7 in each part.
Different Types of Division Problems and Bar Models
Bar models can represent various division word problems, including:
- Partitioning: Dividing a quantity into a specific number of equal groups (e.g., sharing 12 cookies equally among 4 friends).
- Measurement/Quotition: Determining how many groups of a certain size can be made from a total quantity (e.g., How many groups of 3 apples can be made from 15 apples?).
In both cases, the bar model provides a visual representation of the problem, making the solution process clearer.
Resources for Learning More
For more in-depth explanations and examples of using bar models for division, check out these resources:
