Grade 4 Math • Standard 4.NBT.5 • Strategy 2: Distributive Area Model • Printer-Friendly
Say to Class: "Today we learn Strategy 4: Vertical Partial Products! It uses the exact same four products as the window box, but we write them vertically in lines under the problem. Notice how each line corresponds to multiplying ones by ones, ones by tens, tens by ones, and tens by tens."
Draw This Side-By-Side Connection On Board
Strategy 3: Window
800
60
240
18
Strategy 4: Vertical Stack
43
× 26
18 (6 × 3)
240 (6 × 40)
60 (20 × 3)
800 (20 × 40)
1,118
3. "We Do" — Whiteboard Showdown Game (15 min)
• Challenge #1: Solve 34 × 25 using Strategy 4. (Answer: 20 + 150 + 80 + 600 = 850).
• Challenge #2: Solve 52 × 18. (Answer: 16 + 400 + 20 + 500 = 936).
• Celebrate accurate vertical alignment!
4. "You Do" — Practice Handout (15 min)
Students complete Day 4 practice. Give students the option to verify their partial products using the Strategy 3 window model.
Connection: Both Strategy 3 and Strategy 4 yield the identical 4 partial sums. Let students use whichever visual makes them most confident!
Substitute Name:
Dates Covered:
Classroom / Period:
Contact Phone:
Day 1: Strategy 1 — Base-Ten Rectangular Arrays (1-digit × 2-digit) [ ] Done [ ] Needs Review
Day 2: Strategy 2 — Distributive Area Model (1-digit × up to 4-digit) [ ] Done [ ] Needs Review
Day 3: Strategy 3 — 4-Box Window Area Model (2-digit × 2-digit) [ ] Done [ ] Needs Review
Day 4: Strategy 4 — Vertical Partial Products Algorithm (2-digit × 2-digit) [ ] Done [ ] Needs Review
Day 5: Strategy 5 — Strategy Selection & Multi-Step Modeling (4.OA.3) [ ] Done [ ] Needs Review
Students Mastering Strategies 1–5:
Students Needing Small Group Intervention:
Substitute Notes on Behavior, Homework & Supplies:
Grade 4 Math • Sub Transition Documentation • Completed Homework Packet Filed with Answer Key
Show 4 partial products:
Answer:
4. [4.NBT.5] Missing Distributive Room:
In the area model for 5 × 3,462:
15,000 + 2,000 + [ ] + 10 = 17,310
Missing Value:
5. [4.NBT.5] Word Problem:
A library bought 8 novel sets. Each set costs $215. What was the total cost?
Workspace:
Total: $
6. [4.NBT.2 - Compare Numbers]
Compare using >, <, or = :
405,290 [ ] 450,199
Compare highest place value first
7. [4.NBT.4 - Subtraction with Zeros]
Solve: 60,000 - 24,675
Stack & regroup across zeros:
Difference:
8. [4.OA.4 - Factors & Prime/Composite]
List all factor pairs of 36:
Pairs:
Is 36 Prime or Composite?
More than 2 factors?
9. [4.G.1 - Geometry Lines]
Which lines cross at a 90° right angle?
[ ] Parallel lines
[ ] Perpendicular lines
Check angle property
10. [4.OA.3 - Multi-Step Problem]
Maya had 160 beads. She used 45 for a necklace and 38 for a bracelet. Left?
Step 1 (Add) & Step 2 (Subtract):
Left: beads
Tuesday Homework • Exactly 10 Questions • Strategy 2 Focus (4.NBT.5) & Spiral Review (No Rounding) • Printer-Friendly
Wednesday Homework • 10 Questions
Name:
Date:
1. [4.NBT.5] Solve: 23 × 15 Strategy 3
Draw 4-box window:
Product:
2. [4.NBT.5] Solve: 34 × 26 Strategy 3
Draw 4-box window:
Product:
3. [4.NBT.5] Solve: 45 × 32 Strategy 3
Show 4 room calculations:
Product:
4. [4.NBT.5] Add Window Rooms:
For \(28 \times 14 = (20+8) \times (10+4)\):
Rooms: 200 + 80 + 80 + 32
Add them vertically:
Product:
5. [4.NBT.5] Word Problem:
A theater has 24 rows with 18 seats in each row. How many seats total?
Workspace:
Total: seats
6. [4.OA.1 - Multiplicative Comparison]
Kendra has 9 cards. Caleb has 5 times as many cards. How many does Caleb have?
Equation: 9 × 5 =
Caleb has: cards
7. [4.OA.4 - Prime or Composite]
Is the number 29 prime or composite? Explain using its factors.
Factors of 29:
Classification:
Only 1 and itself?
8. [4.MD.3 - Area of Rectangle]
A rug is 16 feet long and 7 feet wide. Find area: (Area = L × W)
Workspace:
Area: sq ft
9. [4.NBT.4 - Subtraction]
Solve: 85,214 - 39,468
Stack & regroup:
Difference:
10. [4.MD.4 - Line Plot Fractions]
Ribbon lengths: \(\frac{1}{4}, \frac{2}{4}, \frac{2}{4}, \frac{3}{4}, \frac{4}{4}\) in. Difference between longest and shortest?
Equation: \(\frac{4}{4} - \frac{1}{4} =\)
Difference: in.
Wednesday Homework • Exactly 10 Questions • Strategy 3 Focus (4.NBT.5) & Spiral Review (No Rounding) • Printer-Friendly
Thursday Homework • 10 Questions
Name:
Date:
1. [4.NBT.5] Solve: 53 × 42 Strategy 4
Stack partial products:
Product:
2. [4.NBT.5] Solve: 64 × 38 Strategy 4
Stack partial products:
Product:
3. [4.NBT.5] Solve: 75 × 24 Your Choice
Pick Strategy 3 or 4:
Product:
4. [4.NBT.5] True or False Check:
\(35 \times 46 = (30 \times 40) + (30 \times 6) + (5 \times 40) + (5 \times 6)\)
[ ] True [ ] False
Evaluates to 1,610
5. [4.NBT.5] Word Problem:
An apple orchard has 35 rows of trees with 28 trees in each row. Total trees?
Workspace:
Total: trees
6. [4.NBT.1 - Digit Value]
In 784,210, the 8 is in the ten-thousands place. What is its value?
Value = 8 × 10,000
Value:
7. [4.G.1 - Geometry Angles]
Which angle has a measure greater than 90°?
[ ] Acute angle [ ] Obtuse angle
A ray has: [ ] 1 endpoint [ ] 2 endpoints
Geometry terms
8. [4.OA.4 - Multiples of 8]
List the first 5 multiples of 8:
8, ____, ____, ____, ____
Skip count by 8
9. [4.MD.4 - Line Plot Addition]
Add 3 ribbon measurements: \(\frac{2}{8}\) ft + \(\frac{3}{8}\) ft + \(\frac{2}{8}\) ft.
Workspace:
Total: ft
10. [4.OA.3 - Multi-Step Problem]
A baker made 18 trays with 12 cookies each. Sold 150 cookies. How many left?
Step 1 (18×12) & Step 2 (subtract 150):
Left: cookies
Thursday Homework • Exactly 10 Questions • Strategy 4/5 Focus (4.NBT.5) & Spiral Review (No Rounding) • Printer-Friendly
Substitute Teacher Resource
Grading Guide 10 Pts Per Night
Strategy Equivalence: Whether students use Strategy 3 (Window) or Strategy 4 (Partial Products), all partial sums match!
Wednesday Key (Strategy 3 Focus) Score: /10
1. [4.NBT.5]: \(23 \times 15 = 200+100+30+15 =\) 345
2. [4.NBT.5]: \(34 \times 26 = 600+180+80+24 =\) 884
3. [4.NBT.5]: \(45 \times 32 = 1,200+80+150+10 =\) 1,440
4. [4.NBT.5]: \(200 + 80 + 80 + 32 =\) 392
5. [4.NBT.5]: \(24 \times 18 = 200+160+40+32 =\) 432 seats
6. [4.OA.1]: \(9 \times 4 =\) 36 cards (or \(9 \times 5 = 45\))
7. [4.OA.4]: 29 is Prime (only factors are 1 and 29).
8. [4.MD.3]: \(16 \times 7 =\) 112 sq ft
9. [4.NBT.4]: \(85,214 - 39,468 =\) 45,746
10. [4.MD.4]: \(\frac{4}{4} - \frac{1}{4} =\) \(\frac{3}{4}\) in.
Thursday Key (Strategy 4 & 5) Score: /10
1. [4.NBT.5]: \(53 \times 42 = 2,000+100+120+6 =\) 2,226
2. [4.NBT.5]: \(64 \times 38 = 1,800+480+120+32 =\) 2,432
3. [4.NBT.5]: \(75 \times 24 = 1,400+280+100+20 =\) 1,800
4. [4.NBT.5]: True. Both sides equal 1,610.
5. [4.NBT.5]: \(35 \times 28 = 600+240+100+40 =\) 980 trees
6. [4.NBT.1]: Value is 80,000 (\(8 \times 10,000\))
7. [4.G.1]: Obtuse angle; Ray has 1 endpoint.
8. [4.OA.4]: Multiples of 8: 8, 16, 24, 32, 40
9. [4.MD.4]: \(\frac{2}{8} + \frac{3}{8} + \frac{2}{8} =\) \(\frac{7}{8}\) ft
10. [4.OA.3]: Step 1: 18 × 12 = 216.
Step 2: 216 - 150 = 66 cookies left
Grade 4 Math • Standard 4.NBT.5 Sub Plans • Homework Key (Wednesday & Thursday) • Printer-Friendly
