Overview
The main ideas in first grade are addition and subtraction up to twenty, and starting to make larger numbers out of tens and ones. Kids will not only learn their number facts, but see them as related. This will help them not only learn these facts, but to build number sense.
For example, a child might learn their “doubles”, like 8 + 8 = 16 and from there know close facts such as 8 + 7 = 15 because it must be one less than 8 + 8. Another child might prefer to see 8 + 7 as 8 + 2 + 5, and then see that as 10 + 5 to get 15. This last approach of “making a ten” is key. Finding it this way will help kids remember it and will also be important for knowing the rules of arithmetic and eventually algebra. Kids won’t just see problems like 3 + 2 = 5 but also 5 = 3 + 2 and even 3 + 2 = 1 + 4. Well-established research suggests the importance of activities like this to lay a proper understanding of the equal sign.
Kids will be working in concrete ways with tens and ones, often with blocks and definitely with pictures, so that they know what it means make a ten or break one up. This process is called “regrouping” to emphasize that the value of the number hasn’t changed. We have called it than carrying or borrowing in the past, but are we really `borrowing’ if we never get it back? :-)
Eventually kids will be proficient with pencil-and-paper and even mental math, but using pictures or objects gives them a firm foundation for what they’re doing.
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