Number Bonds 03 - Hard

💡Tips for Parents

▸ Why It Matters This is the hardest of the three number-bonds worksheets in the series: the nine problems reach totals all the way up to 10, including one full bond of 10 = 3 + 7. That bond is one of the most valuable facts in early arithmetic, since children lean on "friends of 10" constantly once they start adding and subtracting larger numbers and using shortcuts such as turning 8 + 5 into 8 + 2 + 3. Notice, too, that most problems leave the right-hand circle blank, but one flips the pattern and leaves the left circle blank instead, so your child has to actually read each bond rather than settling into an automatic left-to-right habit. Review questions: 3, 7 · Number Bonds 02 - Medium. ▸ Getting Started Before counting, ask your child what they already know about pairs that make 10; many have already met 10 = 5 + 5 or 10 = 6 + 4 through games or finger counting, and pulling on that prior knowledge builds confidence faster than starting from zero. If a ten-frame or a handful of small counters is nearby, drop the known number in as counters first, then add one more at a time while counting aloud until reaching the total; the empty spaces left over are the missing number. Framing a bond as "some friends on the swings, some on the slide" can also make it feel more concrete. ▸ If They Get Stuck For a bond like 9 = 6 + ?, suggest counting up from 6: "6... 7, 8, 9," raising one finger per number said; the fingers raised are the missing part. If your child instead starts counting from 1 every time, gently redirect them to start from the known number, since starting from 1 grows slower and more error-prone as totals climb toward 10. Watch, too, for the common mistake of writing the total itself into the blank circle instead of the missing part; this slip shows up most often on the one reversed item where the left circle, not the right, is empty. ▸ Praise Points Celebrate especially when your child solves 10 = 3 + 7 straight from memory instead of counting it out; that fact is one of the most useful in all of early math, and having it instantly available is worth celebrating out loud. Also praise flexible thinking on the reversed problem, since recognizing that the blank circle can sit on either side of a bond shows real understanding rather than a memorized routine. A comment like "you knew that one without even counting!" reinforces exactly the behavior you want to encourage as the bonds keep growing larger.

🎯What This Worksheet Builds

This sheet's nine problems push number bonds up to a total of 10, including the pivotal 10 = 3 + 7 split, the "friends of 10" fact children will lean on constantly once they start adding and subtracting bigger numbers, regrouping, and using mental-math shortcuts. It also varies which circle is left blank, mostly the right side but once the left, so children practice reading a bond in either direction instead of memorizing a single fixed pattern for where the answer goes.

👉Next Step

Once 10 = 3 + 7 is instant recall rather than counted out, move on to Number Bonds - Combining Numbers, where the child builds a total by adding two known parts together instead of splitting one number apart. That shift, from decomposing to composing, is the same skill flipped around, and mastering both directions gives a much sturdier foundation for the addition and subtraction work that comes right after.