Learning Objectives
- 01
Demonstrate end-to-end fluency.
Advance A
W3·D5Goal: 50 problems in under 15 minutes.
Demonstrate end-to-end fluency.
Left-to-right 3×1 (Benjamin): hundreds, tens, units — each piece, then add.
800 × 3 = 2400
Hundreds first.
80 × 3 = 240
Tens next.
8 × 3 = 24
Then units.
2400 + 240 + 24 = 2664
Add as you go, left-to-right — say each running total aloud.
= 2664
Benjamin, Secrets of Mental Math — distribute left-to-right
Left-to-right 3×1 (Benjamin): hundreds, tens, units — each piece, then add.
200 × 8 = 1600
Hundreds first.
50 × 8 = 400
Tens next.
3 × 8 = 24
Then units.
1600 + 400 + 24 = 2024
Add as you go, left-to-right — say each running total aloud.
= 2024
Benjamin, Secrets of Mental Math — distribute left-to-right
Left-to-right 3×1 (Benjamin): hundreds, tens, units — each piece, then add.
300 × 6 = 1800
Hundreds first.
60 × 6 = 360
Tens next.
2 × 6 = 12
Then units.
1800 + 360 + 12 = 2172
Add as you go, left-to-right — say each running total aloud.
= 2172
Benjamin, Secrets of Mental Math — distribute left-to-right
×9 shortcut (Benjamin): use (n × 10) − n.
831 × 10 = 8310
Multiplying by 10 just shifts a zero on the end.
8310 − 831 = 7479
Subtract one copy of 831, because 9 = 10 − 1.
= 7479
Benjamin, Secrets of Mental Math — distribute left-to-right
Left-to-right 3×1 (Benjamin): hundreds, tens, units — each piece, then add.
800 × 6 = 4800
Hundreds first.
50 × 6 = 300
Tens next.
8 × 6 = 48
Then units.
4800 + 300 + 48 = 5148
Add as you go, left-to-right — say each running total aloud.
= 5148
Benjamin, Secrets of Mental Math — distribute left-to-right
2×1, 3×1, and factoring methods.
One simple and one intermediate problem to preview the week.
Simple · Day 1
Intermediate · Day 5