Multiplication fluency is less about drilling all 100 facts than about knowing a handful cold and having reliable ways to derive the rest. A child who knows their 2s, 5s and 10s, and who can reason that 6 × 7 is 5 × 7 plus one more 7, is in far better shape than one who has half-memorised the whole table.
These games are sequenced for that approach.
Second and third grade: building the meaning first
Before facts, children need to see what multiplication is — equal groups and arrays, and the fact that both describe the same thing.
- Game 25 Sticker Book Patterns — one team builds equal groups, one builds arrays, both compare totals
- Game 34 Crossed Wires — draw crossing lines and count the intersections, building the array by hand
- Game 35 Rectangle Fit — fit rolled rectangles onto a grid, connecting dimensions to area
Third grade: the anchor fact sets
The 2s, 5s and 10s come first because they are easy and because everything else can be derived from them.
- Game 26 On the Double — the ×2 facts, with boards for ×3 and ×4 as well
- Game 27 Trios — the ×5 facts on a three-in-a-row board
- Game 28 Capture 5 First — choose between factors of 2, 5 and 10 for the greater product
- Game 32 Fixed Factor War — hold one factor constant and drill exactly the set you need
Fourth grade: deriving the hard facts
The 6s, 7s, 8s and 9s are where memorisation stalls. They are also where derived-fact strategies pay off most.
- Game 33 Strive to Derive — partition arrays to show Adding a Group and Subtracting a Group
- Game 30 Squares Bingo — the square products, which anchor the facts around them
- Game 39 The Product Game — work backwards from a product to its factors
Fourth to sixth grade: division, factors, and flexibility
Division is best introduced as the same relationship read backwards, not as a new topic.
- Game 38 Multiplication Salute — hear the product, see one factor, work out the other. Division from the multiplication side
- Game 36 The Factor Game — factors, multiples and primes, with real strategy
- Game 31 Multiplication Pathways — a cooperative board that demands planning ahead
- Game 40 Net Zero, Game 41 Softball Hits and Game 42 Three Dice Take — open-ended work across all four operations
Getting the whole set
All 18 multiplication and division games are in the Multiplication/Division collection, or bundled as the Multiplication/Division Bundled Game. If you want both halves, the Complete Bundled Game covers all 42 games from kindergarten through sixth grade.