Having seen different ways that the questions involving regrouping 10s might vary, can you think of other variations you might offer students to deepen or extend their understanding?
Leave a comment below.
24 comments
Karina Oliveira
August 19, 2019
Increasing the number of tens that need regroup. Getting to the first hundred.
To extend the idea of re-grouping 10's, learners could try regrouping the tens into hundreds and then maybe even try questions requiring both tens and hundreds.
Variation reminds me of the importance of relationship between problems that Cathy Fosnot highlighted in her "number strings", or that Akihiko Takahashi highlighted in the Tokyo Shoseki math textbook series. Carefully choose and sequence problems to highlight critical discernments. For the 2 digit regrouping, I think I might begin with problems in which numbers end in 0, then one of the numbers ending in 0, and one not, then both numbers ending in non zero digits that don't add to ten, then numbers in which the ones add to 10, then to numbers in which the ones add to between 11 and 19, then beyond 20 (as was shown in the case of adding 3+ numbers).
Apart from regrouping using 10s, decomposition can also be used in deepening students understanding. That is breaking down tens into ones or hundreds into tens so that the required action (subtraction) can be effected.
The same idea should be extended to other place value and moreover for example 1234 can be expanded as 1000+200+30+4 by adding or subtracting one should focus on the place value position
I really like the idea of the sums to ten be stacked together for a clear visual...start with a small number of pairs (adding to ten), then increase and mix..so students have to think about the matches.
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24 comments
Karina Oliveira August 19, 2019
Increasing the number of tens that need regroup. Getting to the first hundred.
Emily Ng August 20, 2019
Different place values for older grades tenths, hundredths, thousandths etc...
Joanne Decker August 21, 2019
To extend the idea of re-grouping 10's, learners could try regrouping the tens into hundreds and then maybe even try questions requiring both tens and hundreds.
Sarah Kangles August 26, 2019
Students could extend understanding by applying this to other place values.
Heather Betel December 11, 2019
The numbers that sum to ten could be rearranged, e.g., 15 +29 +35 +21, so that students have to find the match.
Paul Gautreau December 14, 2019
Variation reminds me of the importance of relationship between problems that Cathy Fosnot highlighted in her "number strings", or that Akihiko Takahashi highlighted in the Tokyo Shoseki math textbook series. Carefully choose and sequence problems to highlight critical discernments. For the 2 digit regrouping, I think I might begin with problems in which numbers end in 0, then one of the numbers ending in 0, and one not, then both numbers ending in non zero digits that don't add to ten, then numbers in which the ones add to 10, then to numbers in which the ones add to between 11 and 19, then beyond 20 (as was shown in the case of adding 3+ numbers).
Michelle Rushford January 8, 2020
Extending it to include other place values. Making the pairs that equal 10 less obvious.
Kate Hill February 24, 2020
By using different place value digits!
Thomas Adu Kwabena Bempah April 15, 2020
Regrouping can vary interms of a count of tens in hundreds or it can also vary when using the place value chart
Stephen Attakorah April 16, 2020
Apart from regrouping using 10s, decomposition can also be used in deepening students understanding. That is breaking down tens into ones or hundreds into tens so that the required action (subtraction) can be effected.
Eugene Selorm Boni April 21, 2020
Am thinking of regrouping 5's at the levels or 100's at the next level.
Miriam Akua Hagan April 27, 2020
The numbers which sum up to 10s can be rearranged like this 11+19+38+12
Augustine Asamoah May 2, 2020
This could be used to assist students in place value of numbers by breaking down various units such as from tens to ones
Godfred Asiedu Mireku May 17, 2020
The same idea should be extended to other place value and moreover for example 1234 can be expanded as 1000+200+30+4 by adding or subtracting one should focus on the place value position
David Dotse May 23, 2020
Extending ideas to other place values
Pamela Larcher June 4, 2020
I really like the idea of the sums to ten be stacked together for a clear visual...start with a small number of pairs (adding to ten), then increase and mix..so students have to think about the matches.
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