8/10/2019 Using Doubles and Near Doubles to Promote Fact Fluency
1/16
We continue to work on fact fluency in first grade.
Fact fluency is practiced each day at students'
independent centers. Recently I introduced the
"doubles" and "doubles plus one" strategies to myfirsties. They are so proud to be able to share all of
the doubles they now know!
Introducing Doubles and Near Doubles:At the beginning of the week we we worked through
understanding the Doubles and Doubles-Plus-1 (or
near doubles) strategy with our work mats. Students
saw how knowing and understanding doubles helped
them to solve many more number sentences quickly.
The idea of doubles is that when you have those facts
memorized (1+1, 2+2, 3+3, ect.) you then can add
problems such as 1+2, 2+3, 3+4 by just adding one to
the sum.
http://3.bp.blogspot.com/-9Wu62EeewlE/UuL_fTUjgnI/AAAAAAAAC5Y/OSqhPphY6LQ/s1600/Screen+Shot+2014-01-24+at+6.03.13+PM.pnghttp://4.bp.blogspot.com/-Xb--liXrd9g/UqZnk2STrjI/AAAAAAAACwQ/o8b53t2Lftw/s1600/Screen+Shot+2013-12-09+at+6.58.00+PM.pnghttp://3.bp.blogspot.com/-9Wu62EeewlE/UuL_fTUjgnI/AAAAAAAAC5Y/OSqhPphY6LQ/s1600/Screen+Shot+2014-01-24+at+6.03.13+PM.pnghttp://4.bp.blogspot.com/-Xb--liXrd9g/UqZnk2STrjI/AAAAAAAACwQ/o8b53t2Lftw/s1600/Screen+Shot+2013-12-09+at+6.58.00+PM.png8/10/2019 Using Doubles and Near Doubles to Promote Fact Fluency
2/16
Centers, centers and more centers:After learning about the doubles and near doubles
math strategies students were off to practiceindependently during math centers with their peers. I
wanted my students to be able to explore this math
strategy with hands on activities that helped them
develop this strategy.
http://2.bp.blogspot.com/-tWXvGKhq5Dc/UqZnn-aaRPI/AAAAAAAACwo/7R7ogj4s1ls/s1600/Screen+Shot+2013-12-09+at+6.58.13+PM.pnghttp://1.bp.blogspot.com/-DrOyokYcHPs/UuL1AoBp8fI/AAAAAAAAC5I/N_hz0cU6pyo/s1600/Screen+Shot+2014-01-24+at+5.18.03+PM.pnghttp://2.bp.blogspot.com/-tWXvGKhq5Dc/UqZnn-aaRPI/AAAAAAAACwo/7R7ogj4s1ls/s1600/Screen+Shot+2013-12-09+at+6.58.13+PM.pnghttp://1.bp.blogspot.com/-DrOyokYcHPs/UuL1AoBp8fI/AAAAAAAAC5I/N_hz0cU6pyo/s1600/Screen+Shot+2014-01-24+at+5.18.03+PM.png8/10/2019 Using Doubles and Near Doubles to Promote Fact Fluency
3/16
Students sorted doubles and near doubles math facts.
Students played Bump with partners to continue practicing doubles
and near doubles math facts.
http://1.bp.blogspot.com/-DxP6aPqycsE/UuMEUsuuQQI/AAAAAAAAC5o/k8VjlY4O8S0/s1600/Screen+Shot+2014-01-24+at+6.24.26+PM.pnghttp://pinterest.com/pin/create/button/?url=http://dailylearningtothecore.blogspot.com/2014/01/using-doubles-and-near-doubles-to.html&media=http://2.bp.blogspot.com/-fWuKP2CFm_0/UuMEp0NaA-I/AAAAAAAAC5w/H7djH3Bqsx0/s1600/Screen+Shot+2014-01-24+at+6.25.40+PM.png&description=Using%20Doubles%20and%20Near%20Doubles%20to%20Promote%20Fact%20Fluencyhttp://2.bp.blogspot.com/-fWuKP2CFm_0/UuMEp0NaA-I/AAAAAAAAC5w/H7djH3Bqsx0/s1600/Screen+Shot+2014-01-24+at+6.25.40+PM.pnghttp://1.bp.blogspot.com/-DxP6aPqycsE/UuMEUsuuQQI/AAAAAAAAC5o/k8VjlY4O8S0/s1600/Screen+Shot+2014-01-24+at+6.24.26+PM.pnghttp://pinterest.com/pin/create/button/?url=http://dailylearningtothecore.blogspot.com/2014/01/using-doubles-and-near-doubles-to.html&media=http://2.bp.blogspot.com/-fWuKP2CFm_0/UuMEp0NaA-I/AAAAAAAAC5w/H7djH3Bqsx0/s1600/Screen+Shot+2014-01-24+at+6.25.40+PM.png&description=Using%20Doubles%20and%20Near%20Doubles%20to%20Promote%20Fact%20Fluencyhttp://2.bp.blogspot.com/-fWuKP2CFm_0/UuMEp0NaA-I/AAAAAAAAC5w/H7djH3Bqsx0/s1600/Screen+Shot+2014-01-24+at+6.25.40+PM.pnghttp://1.bp.blogspot.com/-DxP6aPqycsE/UuMEUsuuQQI/AAAAAAAAC5o/k8VjlY4O8S0/s1600/Screen+Shot+2014-01-24+at+6.24.26+PM.pnghttp://pinterest.com/pin/create/button/?url=http://dailylearningtothecore.blogspot.com/2014/01/using-doubles-and-near-doubles-to.html&media=http://2.bp.blogspot.com/-fWuKP2CFm_0/UuMEp0NaA-I/AAAAAAAAC5w/H7djH3Bqsx0/s1600/Screen+Shot+2014-01-24+at+6.25.40+PM.png&description=Using%20Doubles%20and%20Near%20Doubles%20to%20Promote%20Fact%20Fluencyhttp://2.bp.blogspot.com/-fWuKP2CFm_0/UuMEp0NaA-I/AAAAAAAAC5w/H7djH3Bqsx0/s1600/Screen+Shot+2014-01-24+at+6.25.40+PM.pnghttp://1.bp.blogspot.com/-DxP6aPqycsE/UuMEUsuuQQI/AAAAAAAAC5o/k8VjlY4O8S0/s1600/Screen+Shot+2014-01-24+at+6.24.26+PM.png8/10/2019 Using Doubles and Near Doubles to Promote Fact Fluency
4/16
Students played "Doubles Dice on Ice!" another math game to
promote fact fluency.
http://1.bp.blogspot.com/-ltHZVAeiNgM/UuMzur12kFI/AAAAAAAAC60/mUFEj4rGXHc/s1600/Screen+Shot+2014-01-24+at+9.46.38+PM.pnghttp://4.bp.blogspot.com/-0oxgSfjVrtY/UuMzgBlyYJI/AAAAAAAAC6s/oFj3H231Lhs/s1600/Screen+Shot+2014-01-24+at+9.37.35+PM.pnghttp://1.bp.blogspot.com/-ltHZVAeiNgM/UuMzur12kFI/AAAAAAAAC60/mUFEj4rGXHc/s1600/Screen+Shot+2014-01-24+at+9.46.38+PM.pnghttp://4.bp.blogspot.com/-0oxgSfjVrtY/UuMzgBlyYJI/AAAAAAAAC6s/oFj3H231Lhs/s1600/Screen+Shot+2014-01-24+at+9.37.35+PM.png8/10/2019 Using Doubles and Near Doubles to Promote Fact Fluency
5/16
We used the SmartBoard during centers to match up some "Ladybug
Doubles!"
These games and many more can be found in
myDoubles and Near Doubles Math Centers.I have
both a winter and a spring version. Clickhereor on
the picture below to see more about these gamesand activities.
http://www.maths-games.org/ladybird-doubles.htmlhttp://www.maths-games.org/ladybird-doubles.htmlhttp://www.teacherspayteachers.com/Product/Doubles-and-Near-Doubles-Game-Pack-426321http://www.teacherspayteachers.com/Product/Doubles-and-Near-Doubles-Game-Pack-426321http://www.teacherspayteachers.com/Product/Doubles-and-Near-Doubles-Game-Pack-426321http://www.teacherspayteachers.com/Product/Doubles-and-Near-Doubles-Game-Pack-426321http://www.teacherspayteachers.com/Product/Doubles-and-Near-Doubles-Game-Pack-426321http://www.maths-games.org/ladybird-doubles.htmlhttp://www.maths-games.org/ladybird-doubles.htmlhttp://www.maths-games.org/ladybird-doubles.htmlhttp://www.maths-games.org/ladybird-doubles.htmlhttp://www.teacherspayteachers.com/Product/Doubles-and-Near-Doubles-Game-Pack-426321http://www.teacherspayteachers.com/Product/Doubles-and-Near-Doubles-Game-Pack-426321http://www.maths-games.org/ladybird-doubles.htmlhttp://www.maths-games.org/ladybird-doubles.html8/10/2019 Using Doubles and Near Doubles to Promote Fact Fluency
6/16
Jump Game:Students loved this game! I used butcher paper to
create a large game mat and wrote all of the doubles
sums on it (I even added some tricky ones to
challenge my higher students.) One student was in
charge of reading the doubles fact while two otherstudents "jumped" to the correct sum! Although the
game was called "Jump" I quickly told students they
need to walk and "hop" to the numbers because some
of my little friends were getting a little too excited at
the idea of jumping across the game board! Students
had fun hopping to squares to practice their doubles
facts!
http://1.bp.blogspot.com/--NXWOfI2w2A/UqZnk-TpYhI/AAAAAAAACwM/ILcgrTUm6pU/s1600/Screen+Shot+2013-12-09+at+6.58.23+PM.pnghttp://www.teacherspayteachers.com/Product/Doubles-and-Near-Doubles-Game-Pack-426321http://1.bp.blogspot.com/--NXWOfI2w2A/UqZnk-TpYhI/AAAAAAAACwM/ILcgrTUm6pU/s1600/Screen+Shot+2013-12-09+at+6.58.23+PM.pnghttp://www.teacherspayteachers.com/Product/Doubles-and-Near-Doubles-Game-Pack-4263218/10/2019 Using Doubles and Near Doubles to Promote Fact Fluency
7/16
Freebie:What good would a Saturday be without a freebie? :)
We used these doubles task cards this week to
practice our doubles and near doubles math facts
during transitions. They are great because some ofmy kids still need the visual of counting/seeing the
blocks and others add the doubles facts without the
http://1.bp.blogspot.com/-YDACBaPIvi4/UqZnl5MnV0I/AAAAAAAACwU/y5d-6G-twsA/s1600/Screen+Shot+2013-12-09+at+6.58.35+PM.pnghttp://2.bp.blogspot.com/-e1vXATgd2kg/UuMGas9CPsI/AAAAAAAAC6A/dE-lGFEFzlg/s1600/Screen+Shot+2014-01-24+at+6.33.17+PM.pnghttp://4.bp.blogspot.com/-atcqgTIaDvo/UuMFDDSXsbI/AAAAAAAAC54/h5RMQFwgI_o/s1600/Screen+Shot+2014-01-24+at+6.27.31+PM.pnghttp://1.bp.blogspot.com/-YDACBaPIvi4/UqZnl5MnV0I/AAAAAAAACwU/y5d-6G-twsA/s1600/Screen+Shot+2013-12-09+at+6.58.35+PM.pnghttp://2.bp.blogspot.com/-e1vXATgd2kg/UuMGas9CPsI/AAAAAAAAC6A/dE-lGFEFzlg/s1600/Screen+Shot+2014-01-24+at+6.33.17+PM.pnghttp://4.bp.blogspot.com/-atcqgTIaDvo/UuMFDDSXsbI/AAAAAAAAC54/h5RMQFwgI_o/s1600/Screen+Shot+2014-01-24+at+6.27.31+PM.pnghttp://1.bp.blogspot.com/-YDACBaPIvi4/UqZnl5MnV0I/AAAAAAAACwU/y5d-6G-twsA/s1600/Screen+Shot+2013-12-09+at+6.58.35+PM.pnghttp://2.bp.blogspot.com/-e1vXATgd2kg/UuMGas9CPsI/AAAAAAAAC6A/dE-lGFEFzlg/s1600/Screen+Shot+2014-01-24+at+6.33.17+PM.pnghttp://4.bp.blogspot.com/-atcqgTIaDvo/UuMFDDSXsbI/AAAAAAAAC54/h5RMQFwgI_o/s1600/Screen+Shot+2014-01-24+at+6.27.31+PM.png8/10/2019 Using Doubles and Near Doubles to Promote Fact Fluency
8/16
pictures. Click hereor on the picture below to grab
your set!
"How many doubles facts do you know?"This week finished with an informal assessment. I
asked my students question that now seemed simple
to many of them, "How many doubles facts do youknow?" Students were then given about 3 minutes to
write as many doubles facts as they are able. It was
awesome to see the excitement as students filled
their white boards with addition sentences. Many
students also realized as they were adding that their
doubles facts followed a pattern of counting by two'swhich allowed them to reach even higher numbers!
http://www.teacherspayteachers.com/Product/Free-Doubles-and-Doubles-Plus-One-Task-Cards-English-and-Spanish-502877http://www.teacherspayteachers.com/Product/Free-Doubles-and-Doubles-Plus-One-Task-Cards-English-and-Spanish-502877http://2.bp.blogspot.com/-p91LFVZ_PII/UqZnmPYSvaI/AAAAAAAACwk/g9G58PU2r_4/s1600/Screen+Shot+2013-12-09+at+6.58.53+PM.pnghttp://www.teacherspayteachers.com/Product/Free-Doubles-and-Doubles-Plus-One-Task-Cards-English-and-Spanish-502877http://2.bp.blogspot.com/-p91LFVZ_PII/UqZnmPYSvaI/AAAAAAAACwk/g9G58PU2r_4/s1600/Screen+Shot+2013-12-09+at+6.58.53+PM.pnghttp://www.teacherspayteachers.com/Product/Free-Doubles-and-Doubles-Plus-One-Task-Cards-English-and-Spanish-502877http://www.teacherspayteachers.com/Product/Free-Doubles-and-Doubles-Plus-One-Task-Cards-English-and-Spanish-5028778/10/2019 Using Doubles and Near Doubles to Promote Fact Fluency
9/16
Thank youTeaching Blog AddictandDoodlebugs
{First Grade Rocks!}for letting us link up and find so
many other teaching ideas all in one place!
http://www.teachingblogaddict.com/2014/01/freebie-friday-january-24-welcome.htmlhttp://www.teachingblogaddict.com/2014/01/freebie-friday-january-24-welcome.htmlhttp://www.teachingblogaddict.com/2014/01/freebie-friday-january-24-welcome.htmlhttp://doodlebugsteaching.blogspot.com/2014/01/five-for-friday-linky-party-january-24th.htmlhttp://doodlebugsteaching.blogspot.com/2014/01/five-for-friday-linky-party-january-24th.htmlhttp://doodlebugsteaching.blogspot.com/2014/01/five-for-friday-linky-party-january-24th.htmlhttp://4.bp.blogspot.com/-IPWD_wA7k-s/UuPJdJNhHLI/AAAAAAAAC74/2d-JYysa95g/s1600/Screen+Shot+2014-01-25+at+8.24.11+AM.pnghttp://2.bp.blogspot.com/-YG-LTGZ-erU/UuNBmqU4mII/AAAAAAAAC7o/YDgTk5xKXD4/s1600/Screen+Shot+2014-01-24+at+10.45.46+PM.pnghttp://2.bp.blogspot.com/-H0uq-Z-Yveo/UuNAcZAGKpI/AAAAAAAAC7g/YIP4SfIDmG4/s1600/Screen+Shot+2014-01-24+at+10.39.36+PM.pnghttp://4.bp.blogspot.com/-IPWD_wA7k-s/UuPJdJNhHLI/AAAAAAAAC74/2d-JYysa95g/s1600/Screen+Shot+2014-01-25+at+8.24.11+AM.pnghttp://2.bp.blogspot.com/-YG-LTGZ-erU/UuNBmqU4mII/AAAAAAAAC7o/YDgTk5xKXD4/s1600/Screen+Shot+2014-01-24+at+10.45.46+PM.pnghttp://2.bp.blogspot.com/-H0uq-Z-Yveo/UuNAcZAGKpI/AAAAAAAAC7g/YIP4SfIDmG4/s1600/Screen+Shot+2014-01-24+at+10.39.36+PM.pnghttp://4.bp.blogspot.com/-IPWD_wA7k-s/UuPJdJNhHLI/AAAAAAAAC74/2d-JYysa95g/s1600/Screen+Shot+2014-01-25+at+8.24.11+AM.pnghttp://2.bp.blogspot.com/-YG-LTGZ-erU/UuNBmqU4mII/AAAAAAAAC7o/YDgTk5xKXD4/s1600/Screen+Shot+2014-01-24+at+10.45.46+PM.pnghttp://2.bp.blogspot.com/-H0uq-Z-Yveo/UuNAcZAGKpI/AAAAAAAAC7g/YIP4SfIDmG4/s1600/Screen+Shot+2014-01-24+at+10.39.36+PM.pnghttp://doodlebugsteaching.blogspot.com/2014/01/five-for-friday-linky-party-january-24th.htmlhttp://doodlebugsteaching.blogspot.com/2014/01/five-for-friday-linky-party-january-24th.htmlhttp://www.teachingblogaddict.com/2014/01/freebie-friday-january-24-welcome.html8/10/2019 Using Doubles and Near Doubles to Promote Fact Fluency
10/16
Happy Saturday!
Amanda
Posted byAmanda Zanchelli at8:37 AM
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Labels:common core,doubles,freebie,math centers,technology
5 comments:
1.
BeckyJanuary 25, 2014 at 12:44 PM
Thanks so much for sharing all the fun ways
you taught these strategies. The freebie is
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Using Doubles and Near Doubles to Promote Fact Fluency
11/16
fantastic and comes just in time for me to teach
this in our current math unit.
Thanks again!
More enVisionMATH: Addingneardoubles
4 Votes
Thelast post aboutenVisionMATH and how I, as a math person and
dad, go about trying to make sense of what my 6-year old
brings home from first grade seems to have struck a chord among
parents. Thecomments have beenoutstanding and there seems to be a
http://castingoutnines.wordpress.com/2010/10/13/more-envisionmath-adding-near-doubles/http://castingoutnines.wordpress.com/2010/10/13/more-envisionmath-adding-near-doubles/http://castingoutnines.wordpress.com/2010/10/13/more-envisionmath-adding-near-doubles/http://castingoutnines.wordpress.com/2010/10/13/more-envisionmath-adding-near-doubles/http://castingoutnines.wordpress.com/2010/08/31/in-the-trenches-with-envisionmath/http://www.envisionmath.com/http://castingoutnines.wordpress.com/2010/08/31/in-the-trenches-with-envisionmath/#commentshttp://castingoutnines.wordpress.com/2010/08/31/in-the-trenches-with-envisionmath/#commentshttp://www.envisionmath.com/http://castingoutnines.wordpress.com/2010/08/31/in-the-trenches-with-envisionmath/http://castingoutnines.wordpress.com/2010/10/13/more-envisionmath-adding-near-doubles/http://castingoutnines.wordpress.com/2010/10/13/more-envisionmath-adding-near-doubles/8/10/2019 Using Doubles and Near Doubles to Promote Fact Fluency
12/16
real need for this kind of conversation. So I have a few more such
posts coming up soon, starting with this one.
The 6-year old brought this home on Monday. Click to enlarge:
Its about adding near doubles, like 3 + 4 or 2 + 3. In case you cant
read the top part or cant enlarge the photo, here are the steps yes,
there are steps, and thats kind of the point of this post for adding
near doubles:
1.
You can use a double to add a near double. It gives: 4 + 5 and
shows four blue balls and five green balls.
2.First double the 4. It shows 4 + 4 = 8, and the four blue balls,
and four of the green balls with the extra green ball sort of falling
to the ground.
3.Then it says: 4 + 5 is 4 + 4 and 1 more. At this point you really
have to look at the worksheet itself, because its hard to put into
words what is going on:
http://castingoutnines.files.wordpress.com/2010/10/near-doubles.png8/10/2019 Using Doubles and Near Doubles to Promote Fact Fluency
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And from there, in the fourth frame, one of the girls in the earlier
frame concludes that 4 + 5 must be 9 because 8 and 1 more is 9.
The Guided Practice section has the kids doing four near-double sums.
Clearly, the way the worksheet wants kids to learn how to do this is not
simply to add 2 + 3, but (1) to recognize that 3 is 2 plus 1 more, (2) add
2 + 2, and (3) then add 1 to the result of 2 + 2:
Theres a thing at thebottom asking kids to explain the process and
then a bunchof near-double sums to practice presumably kids are
supposed to use the method described above, but theres nothing
forcing them to do so and some algebra questions with blanks in
the place of variables.
Im not sure exactly how my brain goes about adding neardoubles
whether it just somehow does the addition in ways that are almost
http://castingoutnines.files.wordpress.com/2010/10/near-doubles-closeup-2.pnghttp://castingoutnines.files.wordpress.com/2010/10/near-doubles-closeup.pnghttp://castingoutnines.files.wordpress.com/2010/10/near-doubles-closeup-2.pnghttp://castingoutnines.files.wordpress.com/2010/10/near-doubles-closeup.png8/10/2019 Using Doubles and Near Doubles to Promote Fact Fluency
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automatic thanks to 35 years of repetition, or whether there are little
tricks it employs but I am absolutely certain that I dontdo it the
way enVisionMATH is telling kids how to do it. I tried it. When I read
the worksheet, I thought about near-doubles that arent so easy, like
121 and 122. Quick! Add those together. Did you think, 122 is 121 plus
one more; 121 + 121 = 242; 242 and 1 more is 243 ? I didnt not by
a long shot. Ijust added the numbers together. No methods, no tricks;
just old-school addition. There may be some tricks that my brain
invokes to just add the numbers for example, I tend to visualize
the two terms of the sum stacked atop each other in the classic vertical
arrangement for adding, and then visually add the digits but I am
most definitely notgoing through the four-step process on this
worksheet.
In fact, the four-step process complicates matters so much that its
inexplicable why they are even bringing it up. Most kids at this stage
can add 2 + 3 or 5 + 6 in one step. But by introducing this method,
there arefouroperations: comparison (find the larger of the two near-
doubles), subtraction (take 1 from the larger number), addition (add
the two duplicates), and another addition (add 1 to the result).
Technically there is a fifth operation kids have to perform, namely
recognize that the two numbers they are adding are near-doubles in
the first place.
One might argue that doubling a number (in the third step) is easier
than adding it to itself kids just recognize that doubling 5 gives 10,
for instance and subtracting 1 is a very easy special case of
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subtraction in general that nearly everybody at this age can do without
thinking, similarly for adding 1 at the end. That may be so, but it cant
be so much easier that adding in steps 1, 2 and 4 results in a net
reduction in complexity or a net gain in conceptual understanding.
Butwhat about kids who cant add two one-digit numbers together in
one step? There are some of those out there, including probably a few
in my daughters class. This method doesnt help those kids. Again, we
may argue that adding 4 + 5 is considerably harder than the combined
process of comparison, subtracting 1 from 5, doubling 4, then adding
1. But I dont think so. A four-step process is no less cognitively
demanding than a single-step process, even if the four steps are easy.
And besides, life does not throw near-doubles at you to add. How is a
kid going to learn to add 2 + 5, or 2/5 + 7/8, or 123.38 and 99.99 this
way?
If there is some research that suggests that people really do add near
doubles this way, I would love to see it. Otherwise its hard for me to
believe that any more than a tiny fraction of the human population
actually does it this way. Is there going to be some mind-blowingly
cool way to do complicated arithmetic in ones head farther down the
road that uses this idea, like multiplying numbers that are near-squares or something? Perhaps I should be more patient. But for the
time being, I told the 6-year old just to add the numbers together like
she already knows how to do, the old-fashioned way
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