Number Bonds/ Fact Families/ Complements of Numbers and Guided Math
Number bonds, fact families and complements of numbers basically are names for the same concept. They describe the relationship between pairs that make up a number. So for instance, 1+4, 2+3, 0+5 are all number bonds of five. For children to develop automaticity with number facts they need to learn their number bonds up to 18. They should learn these first through 5, then through 10, then through 18 cut and paste this url to arrive at this page…http://www.primaryresources.co.uk/maths/pdfs/number_bonds_to_10_rp.pdf
The key component to this is to build understanding at the three levels: concrete, pictorial and abstract. Too often math textbooks jump right to the abstract level, asking students to make connections that they don’t really understand. I have written a post on fact families and ten frames but I would like to discuss this idea further here (be sure to see those posts for further discussion).
Concrete: It is important to start with concrete materials.
1. Use a 5 frame and two sided markers. So students can see the relationships of building numbers that build five. They toss the markers and see the different ways to make five.
2. Use snap cubes. For example, I would use 2 green snap cubes and 3 blue ones. I would then lead the students through activities where they explore the relationships.
3. Explore other numbers up to ten.
4. Use a 10 frame and two sided markers.
5. This is an excellent site that shows how to build through the 3 levels:
Pictorial- The children follow the steps above but then color in their answers on the templates.
At the pictorial level have them make cards that illustrate the bonds: http://www.mathcats.com/explore/factfamilies/printaddcards.html
Some printouts that are colorful and engaging. http://www.sparklebox.co.uk/1211-1215/sb1213.html
Abstract – At this level, add the number sentences. You can also add the fact family triangle. Superfun Power Point Game: http://www.wmnet.org.uk/wmnet/custom/files_uploaded/uploaded_resources/851/Hitthebuttonv7.swf http://scratch.mit.edu/projects/MrShah/63856
Interactive Powerpoints: (All these power points you have to cut and paste the url to see…they can all be found on this website http://www.primaryresources.co.uk/maths/mathsC1.htm)
(http://www.primaryresources.co.uk/maths/powerpoint/Making_10_2.ppt http://www.primaryresources.co.uk/maths/powerpoint/numberbonds_to10_SP.ppt http://www.primaryresources.co.uk/maths/powerpoint/number_bonds_to_10_partyhats.ppt http://www.primaryresources.co.uk/maths/powerpoint/numberbonds_to10.ppt
These you can link to instantly:
http://www.amblesideprimary.com/ambleweb/mentalmaths/numberbond.html www.sparklebox.co.uk/md/addsub/bonds.html (great visuals some at pictorial and some at abstract level)
Practice sheets: Great Booklet to Make:
(Again you have to cut and paste these urls into the browser to arrive at exact page) http://www.primaryresources.co.uk/maths/docs/Number_Bonds_Booklet.doc http://www.primaryresources.co.uk/maths/docs/number_bonds_to_10_strips.doc http://www.primaryresources.co.uk/maths/pdfs/SFnumbersearch1.pdf http://www.primaryresources.co.uk/maths/pdfs/SFnumbersearch2.pdf http://www.primaryresources.co.uk/maths/pdfs/nbonds10PDF.pdf http://www.primaryresources.co.uk/maths/pdfs/3easyadd.pdf http://www.primaryresources.co.uk/maths/pdfs/LH_making10and20.pdf http://www.primaryresources.co.uk/maths/docs/number_bonds_to_10_LD.doc http://www.primaryresources.co.uk/maths/pdfs/LH_numberbonds.pdf http://www.primaryresources.co.uk/maths/powerpoint/numberbonds_to20.ppt
Great Links cut and paste http://www.primaryresources.co.uk/maths/mathsC1.htm (most of the links above come from this site –there are tons more here…I just organized them and highlighted the ones I like)
Also in this blog search:
ten frames, ten frame, fact families