Number bonds join a whole to its two parts in three circles. Pick a set, from Bonds of 2 to pairs that make 100, or a mix by grade, and print 12 bonds with an answer key.
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What a number bond is, and why three circles
A number bond is an addition fact known so well that any one of its three numbers can be filled in at once: shown 7 and the part 5, a pupil says 2 without counting. The picture joins the whole to its two parts, so one drawing carries 5 + 2, 2 + 5, 7 − 5 and 7 − 2.
The number bonds 1st grade and 2nd grade need
Kindergarten works within 5, finds the partner that makes 10 and meets Ten and some more as place value (K.NBT.1). First grade makes the 34 pairs within 10 quick and starts One-digit pairs past 10. Next come the number bonds 2nd grade works on: Bonds of 20, Tens that make 100 and Up to the next ten.
Stay on one whole until it is quick: Bonds of 7 has only 4 pairs, so each soon returns.
Before pencils move, have the class show a missing part on fingers. Fingers work up to 10.
Send a sheet home with its key: the number bonds first grade pupils met in class, ready to check.
Questions and answers
Number bonds grade 1: which sets come first?
Start with Mixed bonds within 10, where the page opens: the Common Core asks first grade for fluency within 10 (1.OA.6). Once those 34 pairs are quick, move to Ten and some more, then One-digit pairs past 10. Grade 1 mix draws on all three.
Does zero count as a part?
Yes. Each Bonds of set includes the pair with zero, so Bonds of 10 has 6 pairs, from 0 and 10 to 5 and 5. Ten and some more, One-digit pairs past 10 and Up to the next ten leave zero out.
Does each set print with an answer key?
Yes. Print makes 1 page of 12 bonds from the set you chose, with the answer key as page 2. Both pages carry the same short sheet code, and Make a new sheet deals new bonds from the same set.
All 32 practice sets
Bonds within 5 5
Bonds of 22 pairs: 0 and 2, 1 and 1. The first double: both parts are the same number.
Bonds of 32 pairs: 0 and 3, 1 and 2. 3 is odd, so it has no double. Its parts 1 and 2 are next-door numbers.
Bonds of 43 pairs: 0 and 4, 1 and 3, 2 and 2. Move 1 from one part to the other and you get the next pair: 1 and 3 turns into 2 and 2.
Bonds of 53 pairs: 0 and 5, 1 and 4, 2 and 3. One hand shows them all: the fingers held up are one part and the fingers folded down are the other.
Mixed bonds within 5All 10 pairs for the wholes 2 to 5, in a mixed order. The Common Core asks kindergarten to add and subtract fluently within 5 (K.OA.5).
Show all 32 practice sets (27 more)
Bonds of 6 to 10 6
Bonds of 64 pairs: 0 and 6, 1 and 5, 2 and 4, 3 and 3. The double, 3 and 3, is the two lines of dots on the six face of a die.
Bonds of 74 pairs: 0 and 7, 1 and 6, 2 and 5, 3 and 4. The 3 pairs without a zero are the opposite faces of a die, which add up to 7.
Bonds of 85 pairs: 0 and 8, 1 and 7, 2 and 6, 3 and 5, 4 and 4. The double is 4 and 4. Move 1 across and it turns into 3 and 5.
Bonds of 95 pairs: 0 and 9, 1 and 8, 2 and 7, 3 and 6, 4 and 5. Each pair is a bond of 10 with 1 taken off one part: 3 and 7 make 10, so 3 and 6 make 9.
Bonds of 106 pairs: 0 and 10, 1 and 9, 2 and 8, 3 and 7, 4 and 6, 5 and 5. The set to know cold. Making ten, the bonds of 20 and the bonds of 100 are all built on these 6 pairs.
Mixed bonds within 10All 34 pairs for the wholes 2 to 10, in a mixed order. The page opens here. First grade fluency in the Common Core means adding and subtracting within 10 (1.OA.6).
Bonds of 11 to 20 13
Bonds of 116 pairs: 0 and 11, 1 and 10, 2 and 9, 3 and 8, 4 and 7, 5 and 6. The first whole past 10. 4 of its pairs use one-digit numbers only (2 and 9, 3 and 8, 4 and 7, 5 and 6), and 5 and 6 is the near double: 5 + 5 + 1 = 11.
Bonds of 127 pairs: 0 and 12, 1 and 11, 2 and 10, 3 and 9, 4 and 8, 5 and 7, 6 and 6. Double 6 is the two rows of an egg carton. 4 pairs use one-digit numbers only: 3 and 9, 4 and 8, 5 and 7, 6 and 6.
Bonds of 137 pairs: 0 and 13, 1 and 12, 2 and 11, 3 and 10, 4 and 9, 5 and 8, 6 and 7. 6 and 7 is the near double the Common Core gives as its own example: 6 + 6 + 1 = 12 + 1 = 13.
Bonds of 148 pairs: 0 and 14, 1 and 13, 2 and 12, 3 and 11, 4 and 10, 5 and 9, 6 and 8, 7 and 7. Double 7 is the days in 2 weeks. For 8 and 6 the Common Core shows making ten: 8 + 2 + 4 = 10 + 4 = 14.
Bonds of 158 pairs: 0 and 15, 1 and 14, 2 and 13, 3 and 12, 4 and 11, 5 and 10, 6 and 9, 7 and 8. 7 and 8 is the near double: 7 + 7 + 1 = 15. The pair 5 and 10 is the place value one: 1 ten and 5 ones.
Bonds of 169 pairs: 0 and 16, 1 and 15, 2 and 14, 3 and 13, 4 and 12, 5 and 11, 6 and 10, 7 and 9, 8 and 8. Only 2 pairs use one-digit numbers: 7 and 9, and double 8. England's curriculum guidance uses this whole as its example: 9 + 7 = 16, 16 − 7 = 9, 7 = 16 − 9.
Bonds of 179 pairs: 0 and 17, 1 and 16, 2 and 15, 3 and 14, 4 and 13, 5 and 12, 6 and 11, 7 and 10, 8 and 9. Just 1 pair of one-digit numbers makes 17: 8 and 9, the near double 8 + 8 + 1 = 17.
Bonds of 1810 pairs: 0 and 18, 1 and 17, 2 and 16, 3 and 15, 4 and 14, 5 and 13, 6 and 12, 7 and 11, 8 and 10, 9 and 9. 9 and 9 is the largest sum that two one-digit numbers can make, so the one-digit addition facts end here.
Bonds of 1910 pairs: 0 and 19, 1 and 18, 2 and 17, 3 and 16, 4 and 15, 5 and 14, 6 and 13, 7 and 12, 8 and 11, 9 and 10. No two one-digit numbers make 19, so every pair has a two-digit part. 9 and 10 is the place value pair: 1 ten and 9 ones.
Bonds of 2011 pairs: 0 and 20, 1 and 19, 2 and 18, 3 and 17, 4 and 16, 5 and 15, 6 and 14, 7 and 13, 8 and 12, 9 and 11, 10 and 10. Each pair is a bond of 10 with a ten added to one part: 3 and 7 make 10, so 3 and 17 make 20, and so do 7 and 13.
Mixed bonds, 11 to 20All 85 pairs for the wholes 11 to 20, in a mixed order. England's national curriculum expects pupils to know the number bonds to 20 by the end of year 2.
One-digit pairs past 10The 20 pairs of one-digit numbers that add up to more than 10, from 2 and 9 up to 9 and 9. Grade 2 is asked to know every sum of two one-digit numbers from memory (2.OA.2), and these are the ones past 10.
Ten and some more9 pairs, from 10 and 1 up to 10 and 9. Each number from 11 to 19 is ten ones and some more ones, the kindergarten place value idea in K.NBT.1, as in 18 = 10 + 8.
Bonds to 100 5
Any number to 100All 51 pairs, from 0 and 100 to 50 and 50. Unless both parts are whole tens, the ones digits make 10 and the tens digits make 9: in 37 and 63, 7 + 3 = 10 and 30 + 60 = 90.
Fives that make 10011 pairs in steps of 5, from 0 and 100 to 50 and 50. When the parts end in 5 the tens digits add up to 9, not 10: 35 and 65 have 3 tens and 6 tens.
Tens that make 1006 pairs: 0 and 100, 10 and 90, 20 and 80, 30 and 70, 40 and 60, 50 and 50. They are the bonds of 10 counted in tens: 3 and 7 make 10, so 30 and 70 make 100.
Tens within 10034 pairs of whole tens for the wholes 20 to 100, such as 20 and 40 making 60. They match the 34 bonds within 10 one for one, counted in tens.
Up to the next ten81 pairs, each a part from 1 to 9 with the two-digit partner that reaches 20, 30 and so on up to 100, such as 34 and 6 making 40. The two ones digits are always a bond of 10.
Grade mixes 3
Grade 1 mixMixed bonds within 10, Ten and some more and One-digit pairs past 10 in equal shares. Common Core first grade adds and subtracts within 20 with fluency within 10 (1.OA.6). Texas asks for fact strategies within 20, including making 10 (1.3(D)).
Grade 2 mixOne-digit pairs past 10, Bonds of 20, Tens that make 100 and Up to the next ten in equal shares. Common Core second grade knows the one-digit sums from memory (2.OA.2) and works fluently within 100 (2.NBT.5). Texas asks for facts within 20 with automaticity (2.4(A)).
Kindergarten mixMixed bonds within 5 and Bonds of 10 in equal shares. These are the two kindergarten goals in the Common Core: fluency within 5 (K.OA.5) and the partner that makes 10 for any number from 1 to 9 (K.OA.4).