The 7 times table is 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84.
Ask parents which times table is hardest and many will say the 7s. There is a reason: 7 does not double neatly, the answers have no simple "ends in" rule, and facts like 7 × 8 sit right next to look-alikes from other tables. The reassuring part is that by the time most children reach the 7s, they already know more than half of them. Here is how to show your child that, and how to tackle the few facts that are genuinely new.
Play: the 7 times table
Every fact can be flipped: 7 × 3 is the same as 3 × 7. So if your child knows the 2s, 3s, 4s, 5s, 6s, 9s, 10s and 11s, they already have 7 × 2, 7 × 3, 7 × 4, 7 × 5, 7 × 6, 7 × 9, 7 × 10 and 7 × 11. Together with 7 × 1, that leaves just 7 × 7 = 49, 7 × 8 = 56 and 7 × 12 = 84. Showing this list to a child who feels stuck on the 7s can change their attitude instantly.
Write the numbers in order: 5, 6, 7, 8. Read them as "56 = 7 × 8." It is a simple memory hook for the single most-missed fact in the 7s, and many children remember it after seeing it once or twice.
Seven groups is five groups plus two groups. For 7 × 6: 5 × 6 = 30 and 2 × 6 = 12, so 30 + 12 = 42. For 7 × 8: 40 + 16 = 56. Both pieces come from easy tables, so this is a dependable fallback when memory fails.
Say the 7s as a chant: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84. Clap or tap on each number. A steady beat helps the sequence stick, and it gives your child a way to check an answer by counting up from a known anchor like 7 × 5 = 35.
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7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84: the answers to 7 × 1 through 7 × 12.
Seven does not halve or double neatly, the answers have no short ending pattern, and several facts look similar to facts from the 6s, 8s and 9s. In practice, though, only 7 × 7, 7 × 8 and 7 × 12 are new if your child already knows the other tables.
Show them the facts they already know by flipping (7 × 3 = 3 × 7), use the 5-6-7-8 hook for 56 = 7 × 8, and practice the remaining facts for a few minutes every day.
7 × 8 = 56. Remember it as the sequence 5, 6, 7, 8: "56 = 7 × 8."
7 × 7 = 49, which is one less than 50.
Usually 3rd grade in the US. The Common Core standard 3.OA.C.7 expects children to know all products of two one-digit numbers from memory by the end of 3rd grade.