What Does It Mean to Compose and Decompose Numbers

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How to Teach Composing and Decomposing Numbers

To build a solid number sense, kids will acquire about composing and decomposing numbers as early as kindergarten, and practice these disquisitional skills in offset course, second grade, and beyond. I'thousand here to explain the departure between the two, and show different ways to build the students' understanding of these early on math concepts.

What is Composing vs. Decomposing Numbers

Decomposing and composing numbers, in short, is the power to suspension apart a given number and put it dorsum together over again. In other words, it'due south learning how to parts brand a whole. If you have young children, or teach elementary school, you may know this as "part, part, whole". Let's look a little closer at what this means, and how you lot can teach it to kids.

Composing numbers is the power to put two parts together to make a whole. For case, kids will put together sets of objects, of smaller numbers, to make a complete set.

Decomposing numbers is the ability to break downward numbers into their sub-parts.

7 Different Ways to Teach Decomposing Numbers

Learning how to decompose and compose numbers looks dissimilar in each form. Nonetheless, here on Little Learning Corner, I share tips and resources for early childhood, specializing in Kinder, course 1, and grade ii. Therefore, permit's wait at some tips to teach decomposing numbers in the younger grades. If you lot're looking for teaching strategies for the older kids, check out Fourth dimension for Learning Middle School Math.

Model, model, model: I tin't stress this enough. When you teach numbers, talk virtually them as much as possible. Instead of saying this is number 7, you could say "This is 7. At that place are dissimilar ways nosotros can make the number 7, such every bit 1 and 6, 2 and 5, iii and 4, 5 and 2, six and 1, or seven and 0."
Math Talks: Something special happens when you sit down and do math talks, or number talks, with kids. I accept created math talks for kindergarten, get-go grade, and second grade to increment engagement and promote independent thinkers. When you do a math talk about numbers, the kids express their thinking in a no judgement environment. The kids larn to explain their reasoning, while also learning from others' processing.
Provide a variety of tools and materials: To teach decomposing numbers, have a variety of manipulatives, visuals, and recording sheets for the kids to work through the process. It's also important to encourage immature children to utilize pictures, fingers, or objects to work through and build their understanding.
Play games: Learning math through games builds problem solving skills, allows them to practise strategy in an informal setting, and allows kids to discuss strategies with their peers. There are fun games listed below.
Extend Calendar time: Subsequently talking about the weather and days of the week, y'all will likely do an activity to count the days of schoolhouse. Use that time to talk about the number. For example, if y'all just added a sticker for day 64, talk about what 64 ways, and the place value of each digit. (i.e. half dozen groups of 10 and iv days left over)
Small-scale grouping and whole grouping: Do a combination of modest grouping and whole grouping lessons when teaching how to compose and decompose numbers. Typically, when teaching kindergarten, I would introduce the skill to the whole class, reteach and refine to a modest group, then allow the other students to work in centers – assuasive them time to explore and practice on their ain or with peers.
Create and display an anchor chart:When you lot create a math anchor chart WITH the kids, it becomes meaningful. Piece of work together to create an anchor chart for decomposing numbers, and hang it in a location where they tin can early reference it when they need back up.

Use colorful postal service information technology notes to make anchor charts for numbers through 10. When using mail-it-notes, you can remove ane of the colors and enquire the kids to create a number sentence and find the missing number. For example, on the ballast chart below, the kids would say "four+_=10, and the missing number is 6."

seven Teaching Resources for Decomposing Numbers

i. Decomposing Numbers to 10 Dot Cards

With xxx dot cards included, these colorful tens-frame decomposing cards represent the numbers 1-10 with iii unlike dot arrangements. Dots are red and yellow to match the standard counter manipulatives used in classroom.

two. Number Bonds

In most kindergarten, commencement grade, and second class classrooms, you will see kids working with number bonds.

Number bonds are visual tools used to teach composing and decomposing numbers. They are also a great way to introduce fact families and missing number concepts.

Hither is an example of how to show the number 10 using a number bail. This number bond mat was included in one of my Kindergarten Crate subscription boxes. If y'all desire to try a box, utilize code CORNER to get 10% off.

The number ten was randomly selected from a set up of themed number cards.

You can too find a collection of number bond materials on amazon, such every bit:

magnetic number bonds
dry-erase number bond cards
number bond flashcards

3. Place Value Games

Dino-Math Track game board for place value, improver, and subtraction
Identify Value Safari
Magnetic Base 10 blocks for place value sit-in
Free Place Value printable game

4. I Have, Who Has Ten'southward Frames Numbers to twenty

I Have…Who Has (Superheroes) is a fun, chain-reaction, math game to practice number recognition and composing numbers to 20. This kindergarten and first grade math game can be played as a whole group or with pocket-sized groups in math stations.

Students rapidly learn the blueprint of this game, and get excited to call out their card. "I accept _____, Who has____?" – counting how many in the tens frames at the summit, then reading the next number the bottom of the card, side by side to the colorful superhero.

Kids can't fence who goes commencement, and you don't accept to make that decision! A starting card, and ending card are included. Grab "I Have, Who Has?" HERE.

5. Gratis Part-Part-Whole Games

Complimentary Part, Part, Whole (Numbers to v)
Gratuitous Role-Part-Whole Mini Unit of measurement
Gratuitous Math Olympics Shake and Spill printable. Shake and spill games work all-time with double sided counters. The kids put a set number of counters in the cup, shake it, then spill them out. When they are spilled, the kids can see how to decompose the whole number using smaller numbers.

half-dozen. Puzzles

Puzzles, even if they aren't counting puzzles, prove how the concept of part-role-whole. When you lot put the parts of a puzzle together, you become a whole flick. Here are a few puzzles to teach this concept:

The Learning Journeying math puzzle
Really Good Stuff Kites and Tails Puzzle for Decomposing numbers to ten
Design blocks

7. My Tens-Frame Book

Practice composing and decomposing ten numbers, or numbers 10-xx, and so accept the kids record their piece of work in this "My Ten'south Frame Book".

The kids will use cut and paste counters available, or use other materials such as dotters or stickers, in combination with the tens-frames to build the number shown. So, on each page, they have to write the numeral in expanded grade, showing the place value for the tens place and ones place.

Assessing Composing and Decomposing Numbers

Now that you've learned the difference between composing and decomposing, forth with instruction strategies and resources, allow's talk a lilliputian about assessments.

When checking the students' understanding, yous desire to do so using multiple assessments. For example, you lot will want to observe and take notes as they manipulate objects, play games, and participate in math talks when learning to decompose numbers. You can as well check their progress by looking over completed work samples, such as the tens-frame book shown above.

If yous are looking for a formal cess, you lot can track their progress on a point-based rubric. Hither are examples of kindergarten and showtime grade math rubrics that tin can be used to document the kids' progress in math.

Kindergarten Math Rubrics

1st Grade Math Rubrics

I promise you've found everything you need to help you feel confident in teaching composing and decomposing numbers in the early childhood years.

Before yous go, here are some pop blog posts you volition enjoy:

15 Amazing Benefits of Math Talks with Kids

115 All-time Poems to Keep Reading Fun

36 Fun Subtraction Activities

Decomposing Numbers

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Source: https://littlelearningcorner.com/2021/07/composing-and-decomposing-numbers.html