Why Should Kids Learn Number Bonds?

BLUE STUDIOS: STEM CLASSES FOR KIDS

BLUE STUDIOS: STEM CLASSES FOR KIDS

Number bonds help students see that numbers can be "broken" into pieces to make computation easier (decomposing/composing). With number bonds, students recognize the relationships between numbers through a written model that shows how the numbers are related.

## What are number bonds?

Using number bonds, students are prompted to explore the relationship between numbers and they can enter their own numbers and stories into a magical word grid. They find that the letters are connected to each other by, for example, the word "fam" could be five separate words connected by the word "dad." Using number bonds, students can: Communicate about how to use numbers to solve problems Communicate about patterns (such as family) Communicate about numbers that are "magic" The overall goal of these activities is to promote higher-order thinking and mathematical understanding. 1. A Quick & Easy Number Bond Activity: Make up a word problem for students that uses a few number bonds. For example, if I need six glasses of water for my guests, how many water bottles will I need?

## Why number bonds work

Children understand number relationships through the process of composition (movement from large numbers to smaller numbers) and decomposition (moving numbers into larger numbers). Composing/decomposing numbers encourages more number thinking (e.g., which of my numbers can form one bigger number? (i.e., If I take two 2's and form one 3, then can I take that 3 and make another 3, and so on?)) and decomposition can encourage more number thinking (e.g., when I take two 4's and form one 5, can I take the remaining 4 and make another 5? and so on?). Having students create number bonds helps them break the number into smaller pieces to think more easily. Number bonds can help with many math concepts. For example, students can apply number bonds when working with fractions.

## How to teach number bonds

Start with an easy number; this will be one to three digits in order to get kids familiar with what it looks like. Write a number on the chalkboard (2-3 and higher are ideal). Picture the number as if you are looking at it. Let the student know that the number is made up of one big plus sign, one single number plus the number minus one. Explain the relationship by drawing a series of lines that connect the plus sign to the number and back again. Help students work out the relationships. Demonstrate addition using two students (example above). Ask the kids to move the problem to the side of the board so that it is right-side up. They will see the relationship of 2+3 to 5. The number pairs are 3+5, 2+3+4, 2+4+3, and 3+3+4+5. Demonstrate subtraction using two students.

## How to help the student understand number bonds

Help students use mental math to learn number bonds: Make math interesting by seeing how numbers can be arranged and interpreted in several different ways. Help students understand number bonds by assigning students groups of numbers and giving them to do something with those groups. For example, students can make lists or numbers of things that have certain sizes. Identify parts of numbers that can be related in different ways (i.e., 0.0000, 0.05, 0.01, 0.10, 0.15, 0.20, 0.25, and so on) and teach students how to break those numbers into pieces for calculating. Align number bonds with math The number bond lesson is aligned with many other math lessons, such as ELD, conceptual mathematics, computational algebraic thinking, high school algebra, and algebra.

## Conclusion

Making patterns with number bonds will help students break down number groups into more manageable and manageable pieces, with visual support for each pair of numbers. This can be useful in the context of number sequences or solving mathematical problems, particularly as a way to aid the understanding of number concepts.