Vertical Algorithm Carry Box
H
T
O
2
9
3
4
5
1
Expanded Place Value Guide:
293 = 200 + 90 + 3
451 = 400 + 50 + 1
Regrouping into Hundreds:
9 tens + 5 tens = 14 tens (100 + 40). Circle 10 tens in your diagram to regroup 1 hundred into the Hundreds place!
Draw Area Model, Base-Ten Blocks, or Place-Value Disks
Hundreds (Flats • 100)
Tens (Rods • 10) — Regroup!
Ones (Units • 1)
Total from Diagram:
Final Answer:
4
Problem 4 of 6 • Draw Your Diagram & Solve
Name:
Date:
Problem 584 + 172 = ?
Draw your diagram below, then solve with the algorithm!
Vertical Algorithm Carry Box
H
T
O
5
8
4
1
7
2
Expanded Place Value Guide:
584 = 500 + 80 + 4
172 = 100 + 70 + 2
Regrouping into Hundreds:
8 tens + 7 tens = 15 tens (100 + 50). Circle 10 tens in your diagram to regroup 1 hundred into the Hundreds place!
Draw Area Model, Base-Ten Blocks, or Place-Value Disks
Hundreds (Flats • 100)
Tens (Rods • 10) — Regroup!
Ones (Units • 1)
Total from Diagram:
Final Answer:
5
Problem 5 of 6 • Draw Your Diagram & Solve
Name:
Date:
Problem 165 + 682 = ?
Draw your diagram below, then solve with the algorithm!
Vertical Algorithm Carry Box
H
T
O
1
6
5
6
8
2
Expanded Place Value Guide:
165 = 100 + 60 + 5
682 = 600 + 80 + 2
Regrouping into Hundreds:
6 tens + 8 tens = 14 tens (100 + 40). Circle 10 tens in your diagram to regroup 1 hundred into the Hundreds place!
Draw Area Model, Base-Ten Blocks, or Place-Value Disks
Hundreds (Flats • 100)
Tens (Rods • 10) — Regroup!
Ones (Units • 1)
Total from Diagram:
Final Answer:
6
Problem 6 of 6 • Draw Your Diagram & Solve
Name:
Date:
Problem 391 + 485 = ?
Draw your diagram below, then solve with the algorithm!
Vertical Algorithm Carry Box
H
T
O
3
9
1
4
8
5
Expanded Place Value Guide:
391 = 300 + 90 + 1
485 = 400 + 80 + 5
Regrouping into Hundreds:
9 tens + 8 tens = 17 tens (100 + 70). Circle 10 tens in your diagram to regroup 1 hundred into the Hundreds place!
Draw Area Model, Base-Ten Blocks, or Place-Value Disks
Hundreds (Flats • 100)
Tens (Rods • 10) — Regroup!
Ones (Units • 1)
Total from Diagram:
Final Answer:
Problem 734 − 368 = ?
Show your borrowing in the top boxes & sketch below!
Vertical Algorithm Borrowing Boxes
H
T
O
7
3
4
−
3
6
8
Place Value Unbundling Guide:
Start: 700 + 30 + 4
Unbundled: 600 + 120 + 14
Borrowing Cues:
• Need more ones: Trade 1 ten for 10 ones (4 becomes 14).
• Need more tens: Trade 1 hundred for 10 tens (2 tens becomes 12 tens).
Draw Base-Ten Blocks, Unbundle • Cross Out to Subtract
Hundreds (Flats • 100)
Tens (Rods • 10) — Trade & Cross Out
Ones (Units • 1) — Trade & Cross Out
Remaining Blocks:
Final Difference:
4
Problem 4 of 6 • Unbundle, Draw & Subtract
Name:
Date:
Problem 851 − 475 = ?
Show your borrowing in the top boxes & sketch below!
Vertical Algorithm Borrowing Boxes
H
T
O
8
5
1
−
4
7
5
Place Value Unbundling Guide:
Start: 800 + 50 + 1
Unbundled: 700 + 140 + 11
Borrowing Cues:
• Need more ones: Trade 1 ten for 10 ones (1 becomes 11).
• Need more tens: Trade 1 hundred for 10 tens (4 tens becomes 14 tens).
Draw Base-Ten Blocks, Unbundle • Cross Out to Subtract
Hundreds (Flats • 100)
Tens (Rods • 10) — Trade & Cross Out
Ones (Units • 1) — Trade & Cross Out
Remaining Blocks:
Final Difference:
5
Problem 5 of 6 • Unbundle, Draw & Subtract
Name:
Date:
Problem 643 − 279 = ?
Show your borrowing in the top boxes & sketch below!
Vertical Algorithm Borrowing Boxes
H
T
O
6
4
3
−
2
7
9
Place Value Unbundling Guide:
Start: 600 + 40 + 3
Unbundled: 500 + 130 + 13
Borrowing Cues:
• Need more ones: Trade 1 ten for 10 ones (3 becomes 13).
• Need more tens: Trade 1 hundred for 10 tens (3 tens becomes 13 tens).
Draw Base-Ten Blocks, Unbundle • Cross Out to Subtract
Hundreds (Flats • 100)
Tens (Rods • 10) — Trade & Cross Out
Ones (Units • 1) — Trade & Cross Out
Remaining Blocks:
Final Difference:
6
Problem 6 of 6 • Unbundle, Draw & Subtract
Name:
Date:
Problem 912 − 547 = ?
Show your borrowing in the top boxes & sketch below!
Vertical Algorithm Borrowing Boxes
H
T
O
9
1
2
−
5
4
7
Place Value Unbundling Guide:
Start: 900 + 10 + 2
Unbundled: 800 + 100 + 12
Borrowing Cues:
• Need more ones: Trade 1 ten for 10 ones (2 becomes 12).
• Need more tens: Trade 1 hundred for 10 tens (0 tens becomes 10 tens).
Draw Base-Ten Blocks, Unbundle • Cross Out to Subtract
Hundreds (Flats • 100)
Tens (Rods • 10) — Trade & Cross Out
Ones (Units • 1) — Trade & Cross Out
Remaining Blocks:
Final Difference:
Chain unbundle across the zeros first!
Vertical Algorithm Borrow Chain
H
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O
7
0
0
−
3
4
5
Subtracting Across Zeros Guide:
Start: 700 + 0 + 0
Unbundled: 600 + 90 + 10
Chain Regrouping Steps:
1. Cannot borrow from 0 tens! Trade 1 hundred for 10 tens (700 becomes 600 + 10 tens).
2. Now trade 1 ten for 10 ones (10 tens becomes 9 tens + 10 ones).
Draw 7 Hundreds • Trade Across Zeros • Cross Out
Hundreds (Flats • 100)
Tens (Rods • 10) — 10 → 9 Tens
Ones (Units • 1) — 10 Ones
Remaining Blocks:
Final Difference:
4
Problem 4 of 6 • Middle Zero Unbundle & Draw
Name:
Date:
Problem 803 − 429 = ?
Trade from hundreds to tens, then tens to ones!
Vertical Algorithm Borrow Chain
H
T
O
8
0
3
−
4
2
9
Subtracting Across Zeros Guide:
Start: 800 + 0 + 3
Unbundled: 700 + 90 + 13
Chain Regrouping Steps:
1. 3 ones − 9 ones needs more ones! 0 tens cannot lend. Trade 1 hundred for 10 tens (800 becomes 700 + 10 tens).
2. Trade 1 ten for 10 ones (10 tens becomes 9 tens; 3 ones becomes 13 ones).
Draw 8 Hundreds, 3 Ones • Trade Across Zero • Cross Out
Hundreds (Flats • 100)
Tens (Rods • 10) — 10 → 9 Tens
Ones (Units • 1) — 13 Ones
Remaining Blocks:
Final Difference:
5
Problem 5 of 6 • Chain Unbundle & Draw
Name:
Date:
Problem 900 − 467 = ?
Chain unbundle across the zeros first!
Vertical Algorithm Borrow Chain
H
T
O
9
0
0
−
4
6
7
Subtracting Across Zeros Guide:
Start: 900 + 0 + 0
Unbundled: 800 + 90 + 10
Chain Regrouping Steps:
1. Cannot borrow from 0 tens! Trade 1 hundred for 10 tens (900 becomes 800 + 10 tens).
2. Now trade 1 ten for 10 ones (10 tens becomes 9 tens + 10 ones).
Draw 9 Hundreds • Trade Across Zeros • Cross Out
Hundreds (Flats • 100)
Tens (Rods • 10) — 10 → 9 Tens
Ones (Units • 1) — 10 Ones
Remaining Blocks:
Final Difference:
6
Problem 6 of 6 • Middle Zero Unbundle & Draw
Name:
Date:
Problem 502 − 186 = ?
Trade from hundreds to tens, then tens to ones!
Vertical Algorithm Borrow Chain
H
T
O
5
0
2
−
1
8
6
Subtracting Across Zeros Guide:
Start: 500 + 0 + 2
Unbundled: 400 + 90 + 12
Chain Regrouping Steps:
1. 2 ones − 6 ones needs more ones! 0 tens cannot lend. Trade 1 hundred for 10 tens (500 becomes 400 + 10 tens).
2. Trade 1 ten for 10 ones (10 tens becomes 9 tens; 2 ones becomes 12 ones).
Draw 5 Hundreds, 2 Ones • Trade Across Zero • Cross Out
Hundreds (Flats • 100)
Tens (Rods • 10) — 10 → 9 Tens
Ones (Units • 1) — 12 Ones
Remaining Blocks:
Final Difference:
Date:
Solve: 635 − 287
H
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O
6
3
5
−
2
8
7
Quick Diagram Sketch Unbundle • Cross Out
Hundreds
Tens (Trade)
Ones (Trade)
Check with addition: ______ + 287 = ______
Confidence: 😊 100% 😐 Almost 🤔 Need Help
Cut Here
Exit Ticket 3
Name:
Date:
Solve: 635 − 287
H
T
O
6
3
5
−
2
8
7
Quick Diagram Sketch Unbundle • Cross Out
Hundreds
Tens (Trade)
Ones (Trade)
Check with addition: ______ + 287 = ______
Confidence: 😊 100% 😐 Almost 🤔 Need Help
Exit Ticket 4
Name:
Date:
Solve: 700 − 348
H
T
O
7
0
0
−
3
4
8
Quick Diagram Sketch Chain Trade • Cross Out
Hundreds
Tens (10→9)
Ones (10)
Chain Rule: 700 unbundles into 600 + ______ + ______
Confidence: 😊 100% 😐 Almost 🤔 Need Help
Cut Here
Exit Ticket 4
Name:
Date:
Solve: 700 − 348
H
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O
7
0
0
−
3
4
8
Quick Diagram Sketch Chain Trade • Cross Out
Hundreds
Tens (10→9)
Ones (10)
Chain Rule: 700 unbundles into 600 + ______ + ______
Confidence: 😊 100% 😐 Almost 🤔 Need Help
●
●
●
+ −
5 dots, 2 crossed out
●
●
●
✕
✕
+ −
2 dots + 4 new dots
●
●
●
●
●
●
+ −
6 dots, 3 crossed out
●
●
●
✕
✕
✕
+ −
Part 2
Draw circles, stars, or cookies
Draw an ADDING (+) Story: Join 2 Groups
Draw a SUBTRACTING (−) Story: Cross Out with ✕
Ten-frames: shaded dots = adding (+) • crossed-out dots (✕) = subtracting (−) Page 3 of 4
✂️
Cut the cards below • Paste or draw lines into the correct column
Name:
Paste cards that show PUTTING TOGETHER here
− SUBTRACTION (Minus)
Paste cards that show TAKING AWAY here
Cut Cards Along Dotted Lines
🐱 🐱 → 🐱 1 Cat Joins 2 Cats
🧁 🧁 🧁✕ 1 Cupcake Eaten
🐦 → 🐦 🐦 2 Birds Join 1 Bird
🥕 🥕 🥕 🥕✕ 1 Carrot Taken Away
Adding 2 New Dots
● ● ✕ ✕
Crossing Out 2 Dots
Detective Mastery: Glue each card into the matching + or − box! Page 4 of 4
Draw 2
12 5 + 5 =
Answer:
Draw your pictures below: Draw 5 • Draw 5 more • Count all!
Draw 5
Draw 5
Great Job Adding 1 to 10! Page 4 of 4
11 10 − 6 =
Answer:
Draw your pictures below: Draw 10 circles • Cross out 6 with ✕ • Count left!
Draw 10 • Cross out 6 with ✕
12 10 − 5 =
Answer:
Draw your pictures below: Draw 10 circles • Cross out 5 with ✕ • Count left!
Draw 10 • Cross out 5 with ✕
Great Job Subtracting 1 to 10! Page 4 of 4
10 7 + 3 = Plus • Add
Answer:
Draw your pictures below: Draw 7 • Draw 3 more • Count all!
Draw 7
Draw 3
11 10 − 4 = Minus • Subtract
Answer:
Draw your pictures below: Draw 10 circles • Cross out 4 with ✕ • Count left!
Draw 10 • Cross out 4 with ✕
12 5 + 5 = Plus • Add
Answer:
Draw your pictures below: Draw 5 • Draw 5 more • Count all!
Draw 5
Draw 5
Kindergarten Math Master! You can Add and Subtract! Page 4 of 4
Date:
5 − 2 =
Draw 5 • Cross out 2 (✕) • Count left:
Draw & cross out (✕)
4 − 3 =
Draw 4 • Cross out 3 (✕) • Count left:
Draw & cross out (✕)
I can draw pictures and cross out to subtract!
😊 Got It! 😐 Almost 🤔 Need Help
Exit Ticket
Name:
Date:
5 + 3 = ADD
Draw 5 • Draw 3 more • Count all:
Draw & count all
6 − 2 = SUB
Draw 6 • Cross out 2 (✕) • Count left:
Draw & cross out (✕)
Check the sign every time (+ or −)!
😊 Got It! 😐 Almost 🤔 Need Help
Cut Here
Exit Ticket
Name:
Date:
5 + 3 = ADD
Draw 5 • Draw 3 more • Count all:
Draw & count all
6 − 2 = SUB
Draw 6 • Cross out 2 (✕) • Count left:
Draw & cross out (✕)
Check the sign every time (+ or −)!
😊 Got It! 😐 Almost 🤔 Need Help
Draw 5 • Cross out 3 (✕)
2 6 − 2 =
Answer:
Draw 6 circles • Cross out 2 with ✕ • Count what's left:
Draw 6 • Cross out 2 (✕)
3 4 − 1 =
Answer:
Draw 4 circles • Cross out 1 with ✕ • Count what's left:
Draw 4 • Cross out 1 (✕)
Parent / Guardian Signature:
Homework Page 3 of 4
⭐
Mixed Math Review • Check the sign before solving!
Name:
Date:
Family Note
Remind your child to check the sign first: + means Add (draw two groups and join) • − means Subtract (draw and cross out).
1 3 + 3 = Plus • Add
Answer:
Draw 3 • Draw 3 more • Count all:
Draw 3
Draw 3
2 6 − 4 = Minus • Subtract
Answer:
Draw 6 circles • Cross out 4 with ✕ • Count what's left:
Draw 6 • Cross out 4 (✕)
3 5 + 4 = Plus • Add
Answer:
Draw 5 • Draw 4 more • Count all:
Draw 5
Draw 4
Parent / Guardian Signature:
Homework Page 4 of 4
3
8
1
Hundreds (100)
Tens (Regroup)
Ones (1)
Total: + + =
3 Solve: 574 + 283
Independent (No Area Model)
H
T
O
5
7
4
2
8
3
Independent Step Check:
• 4 + 3 = 7 ones.
• 7 + 8 = 15 tens (Carry 1 hundred to H, write 5).
• 1 + 5 + 2 = 8 hundreds.
Parent / Guardian Signature:
Homework Page 2 of 4
3
Practice with Area Models • Independent Algorithm
Name:
Date:
Rule: Unbundle 1 ten into 10 ones or 1 hundred into 10 tens when top digit < bottom digit!
Borrow & Subtract
1 Solve: 542 − 178
Area Model Setup
H
T
O
5
4
2
−
1
7
8
Hundreds (100)
Tens (Unbundle)
Ones (Unbundle)
Remaining: + + =
2 Solve: 625 − 283
Area Model Setup
H
T
O
6
2
5
−
2
8
3
Hundreds (100)
Tens (Unbundle)
Ones (1)
Remaining: + + =
3 Solve: 734 − 368
Independent (No Area Model)
H
T
O
7
3
4
−
3
6
8
Independent Step Check:
• 4 − 8 needs more ones → Borrow 1 ten (14 − 8 = 6).
• 2 − 6 needs more tens → Borrow 1 hundred (12 − 6 = 6).
• 6 − 3 = 3 hundreds.
Parent / Guardian Signature:
Homework Page 3 of 4
4
Practice with Area Models • Independent Algorithm
Name:
Date:
Rule: When subtracting across 0, chain unbundle: borrow Hundreds to Tens first, then Tens to Ones!
Chain Borrow
1 Solve: 500 − 236
Chain Model Setup
H
T
O
5
0
0
−
2
3
6
Hundreds (100)
Tens (10 → 9)
Ones (10)
Remaining: + + =
2 Solve: 604 − 278
Chain Model Setup
H
T
O
6
0
4
−
2
7
8
Hundreds (100)
Tens (10 → 9)
Ones (14)
Remaining: + + =
3 Solve: 700 − 345
Independent (No Area Model)
H
T
O
7
0
0
−
3
4
5
Independent Step Check:
• 700 unbundles into 600 + 9 tens + 10 ones.
• 10 − 5 = 5 ones.
• 9 − 4 = 5 tens.
• 6 − 3 = 3 hundreds.
Parent / Guardian Signature:
Homework Page 4 of 4
