Roots of Reason
Roots of Reason
rootsofreason.org
bigger groups, same idea
Anchor Chart · Grade 4 · 4.NBT.B.5

Multiplying 2-Digit by 1-Digit

24 × 6
6 groups of 24 is just 6 groups of 20 and 6 groups of 4 - every road below uses that split.
1Break It Apart
24 = 20 + 4
6 groups of 20120
6 groups of 424
120 + 24 = 144
Same equal groups as 6 × 4 - the groups just got bigger.
2Area Model
6
20+ 4
6 × 20
120
6 × 4
24
120 + 24 = 144
The width splits into 20 + 4; each piece gets its own room.
3Partial Products
24
×  6
24
← 6 × 4, the ones
+ 120
← 6 × 20, the tens
144
← add them
Write every product, then add. Nothing is hidden.
4Standard Algorithm
+224
×  6
144
Step 1: 6 × 4 = 24. Write the 4, carry the 2 tens.
Step 2: 6 × 2 tens = 12 tens.
Step 3: 12 + 2 = 14 tens → 144.
The shortcut version of #3 - the carry is the 6 × 4 = 24.