Cut Card
CARD 10 Skill: Borrowing Over Zero
The Equation:
5,004 - 2,348
Special Note: Can't borrow from zero? Go next door to the Hundreds... still zero? Go to Thousands!
Cut Card
CARD 11 Word Problem
The Problem:
A cookie shop baked 3,420 cookies. They sold 1,845 cookies by noon. How many cookies does the shop have left?
Helper: "Have left" means subtraction. Make sure 3,420 is on the top row.
Cut Card
CARD 12 CHALLENGE!
Word Problem Challenge:
An amusement park had 7,240 visitors on Saturday and 4,895 visitors on Sunday. How many more visitors were there on Saturday?
Focus: Use the Expanded Form Subtraction helper to check your regrouping work.
Unit: Place Value Fluency Page 2 of 2
| Card | Equation | Sum |
|---|---|---|
| Card 1 | 3,452 + 1,284 | 4,736 |
| Card 2 | 5,689 + 2,435 | 8,124 |
| Card 3 | 4,098 + 3,924 | 8,022 |
| Card 4 | 1,358 + 2,485 | 3,843 |
| Card 5 | 4,529 + 3,782 | 8,311 |
| Card 6 | 6,899 + 2,755 | 9,654 |
| Card | Equation | Difference |
|---|---|---|
| Card 7 | 5,682 - 2,341 | 3,341 |
| Card 8 | 4,523 - 1,282 | 3,241 |
| Card 9 | 6,134 - 3,456 | 2,678 |
| Card 10 | 5,004 - 2,348 | 2,656 |
| Card 11 | 3,420 - 1,845 | 1,575 |
| Card 12 | 7,240 - 4,895 | 2,345 |
Misconception: Column Flipping
In subtraction (e.g., Card 8: Tens column: \( 2 - 8 \)), a student might simply calculate \( 8 - 2 = 6 \) because it is easier, ignoring borrowing requirements.
➔ Fix: Ask, "If you have 2 candies, can I take 8?" Point to the Expanded Form Helper. Show that we must borrow 10 from the neighbor to turn that 2 into 12.
Misconception: Phantom Carries
In addition (e.g., Card 1: \( 50 + 80 = 130 \)), the student might write the 30 but forget to carry the 100 into the hundreds column, resulting in 4,636 instead of 4,736.
➔ Fix: Have them double check that their dotted carry box contains a "+" number. Point out how 130 literally "spills over" 30 and 100.
Misconception: Zero Ghosting (The Ultimate Challenge - Card 10)
When borrowing across zeros (e.g., 5,004 - 2,348), students get stuck borrowing from the tens place (0) and hundreds place (0). They might blindly write '9's or skip straight to the 5 thousands.
➔ Master Strategy: "Go next door! If Tens has no cookies, Tens has to ask Hundreds. If Hundreds has no cookies, Hundreds asks Thousands! Thousands gives 1,000, so Hundreds gets 10 hundreds. Now Hundreds can give 1 hundred (leaving 9) to Tens. Finally, Tens has 10 tens, and can give 1 ten (leaving 9) to Ones!"
Grid Masters Intervention Kit Page 2 of 2
