Break Apart Ones To Add

Breaking autonomously an addend is a mental math strategy for addition. Some students may observe this method more efficient than left-to-right addition.

This strategy involves breaking up one addend in an equation into more than manageable parts. Like many other mental math strategies, this strategy encourages students to recollect flexibly and to manipulate numbers in dissimilar ways. This is the big goal of mental math!

As yous look at the examples given, y'all'll notice that this strategy reinforces place value understanding, every bit students are breaking apart the addend by place value.

EXAMPLES

Allow'south accept a look at how to perform this strategy. Whenever you innovate a new strategy in your classroom, be sure to utilise small-scale, easy to piece of work with numbers. This will ensure that students can focus on the strategy itself rather than struggling with big numbers while trying to primary a new strategy.

In this case, we will add fourteen+12. We will break the 12 into a ten and a 2.

Now nosotros add. First we add 14+10 to make 24, and then add together the remaining ii to brand 26.

Allow's attempt another example. Here nosotros will solve 35+46. Start we pause the 46 into a twoscore and a half dozen.

We will add 35+forty to make 75, and and then add the remaining half dozen to make 81.

FLEXIBLE THINKING

Ane of the greatest aspects of mental math is that there is not a series of steps to memorize. Actually we just want our students to understand what the numbers mean and be able to manipulate them in a way that works for each individual student.

Suppose we have the equation 213+214.

1 student might choose to break up the second number and add together 213+200+10+4.

Some other pupil might choose to intermission upwards the second number into only ii parts and add 200+210+4.

A tertiary student might choose to add together these numbers using left to correct add-on.

Here'due south a video with more data on how yous tin teach the intermission apart strategy using the Concrete Representational Abstract model:

This is ane strategy that y'all definitely will want to incorporate into your math teaching. It can exist used in many different ways and you will observe that your students begin using this sort of thinking for other math concepts as well.

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