Exact Quotient Lesson Guide Day 1 Teacher Guide
Exact Quotient Review: 3-by-1 Long Division
Day 1 of 2
CCSS: 4.NBT.B.6
Instructional Focus & Student Packet Architecture
Day 1 cements procedural fluency with the standard algorithm on 3-digit dividends that divide evenly. The accompanying Student Bundle consolidates all student work into one 5-page printout: Page 1 anchors the Key Takeaway and initial practice; Pages 2–3 provide expanded independent practice; Page 4 serves as homework; and Page 5 completes the lesson as an exit ticket.
Lesson Pacing Schedule (55 Minutes)
Warm-Up (8m)
Place value estimations (\(3 \times 100 = 300\)) and anchor the Page 1 Key Takeaway.
Modeling (12m)
Model \(492 \div 3\) on board. Highlight column alignment and zero subtraction.
Practice (25m)
Students work through Problems 1–6 with mandatory 'Check on the Side' verification.
Wrap-Up (10m)
Students complete Exit Ticket (Page 5); assign Page 4 for homework.
Day 1 Master Solutions Key (All 10 Problems)
Independent Practice (Pages 1–3 • Problems 1–6)
#1. \(492 \div 3\): 164 (\(164 \times 3 = 492\))
#2. \(736 \div 4\): 184 (\(184 \times 4 = 736\))
#3. \(852 \div 6\): 142 (\(142 \times 6 = 852\))
#4. \(938 \div 7\): 134 (\(134 \times 7 = 938\))
#5. \(675 \div 5\): 135 (\(135 \times 5 = 675\))
#6. \(984 \div 8\): 123 (\(123 \times 8 = 984\))
Homework & Exit Ticket
HW #7. \(564 \div 3\): 188
HW #8. \(845 \div 5\): 169
Exit #9. \(628 \div 4\): 157
Exit #10. \(792 \div 6\): 132
Common Pitfall: Digit Alignment
Students misalign quotient digits by writing the tens digit over the hundreds place. Remind students to write the quotient digit strictly above the digit currently being divided.
Page 1 Key Takeaway Goal
Before solving, students articulate: "Every digit in the dividend gets divided," and "Check by multiplying quotient × divisor to reach the exact dividend."
Exact Quotient Review • Day 1 Teacher Guide Page 1 of 1
Exact Quotient Student Bundle Day 1 Review Bundle • Part A
3-by-1 Long Division: Exact Quotients
Name:
Date:
Key Takeaway: Exact Long Division
Formula: Quotient × Divisor = Dividend
My Golden Rule:
Remember: Place every quotient digit directly above its column. Every exact division results in zero leftover after the ones place!
1
3 492
Quotient:
Calculation Space Hundreds • Tens • Ones
3
492
Check on the Side
Multiply quotient × 3 to verify:
Show work:
× 3
Result matches 492?
2
4 736
Quotient:
Calculation Space Hundreds • Tens • Ones
4
736
Check on the Side
Multiply quotient × 4 to verify:
Show work:
× 4
Result matches 736?
Exact Quotient Review Bundle • Independent Practice Page 1 of 5
Day 1 Review Bundle • Part B
3-by-1 Long Division: Exact Practice
Continuous Fluency
3
6 852
Quotient:
Calculation Space Hundreds • Tens • Ones
6
852
Check on the Side
Multiply quotient × 6 to verify:
Show work:
× 6
Result matches 852?
4
7 938
Quotient:
Calculation Space Hundreds • Tens • Ones
7
938
Check on the Side
Multiply quotient × 7 to verify:
Show work:
× 7
Result matches 938?
Exact Quotient Review Bundle • Independent Practice Page 2 of 5
Day 1 Review Bundle • Part C
3-by-1 Long Division: Extra Challenge
Mastery Practice
5
5 675
Quotient:
Calculation Space Hundreds • Tens • Ones
5
675
Check on the Side
Multiply quotient × 5 to verify:
Show work:
× 5
Result matches 675?
6
8 984
Quotient:
Calculation Space Hundreds • Tens • Ones
8
984
Check on the Side
Multiply quotient × 8 to verify:
Show work:
Remainder Quest Lesson Guide Day 2 Teacher Guide
Remainder Quest: 3-by-1 Long Division
Day 2 of 2
CCSS: 4.NBT.B.6 • 4.OA.A.3
Instructional Focus & Student Packet Architecture
Day 2 targets division with remainders and systematic verification. The accompanying Student Bundle consolidates all student work into one 5-page printout: Page 1 anchors the Key Takeaway rules (\(R < \text{Divisor}\) and two-step verification) and initial practice; Pages 2–3 provide expanded independent practice; Page 4 serves as homework; and Page 5 completes the lesson as an exit ticket.
Lesson Pacing Schedule (55 Minutes)
Warm-Up (8m)
Multiples drills & anchor the Page 1 Key Takeaway rules.
Modeling (12m)
Model \(579 \div 4 = 144\text{ R }3\). Highlight two-step verification: \((144 \times 4) + 3 = 579\).
Practice (25m)
Students work through Problems 1–6 with mandatory two-step verification checks.
Wrap-Up (10m)
Students complete Exit Ticket (Page 5); assign Page 4 for homework.
Day 2 Master Solutions Key (All 10 Problems)
Independent Practice (Pages 1–3 • Problems 1–6)
#1. \(579 \div 4\): 144 R 3 (\(144 \times 4 + 3 = 579\))
#2. \(823 \div 5\): 164 R 3 (\(164 \times 5 + 3 = 823\))
#3. \(749 \div 6\): 124 R 5 (\(124 \times 6 + 5 = 749\))
#4. \(915 \div 8\): 114 R 3 (\(114 \times 8 + 3 = 915\))
#5. \(682 \div 3\): 227 R 1 (\(227 \times 3 + 1 = 682\))
#6. \(871 \div 7\): 124 R 3 (\(124 \times 7 + 3 = 871\))
Homework & Exit Ticket
HW #7. \(695 \div 4\): 173 R 3
HW #8. \(865 \div 7\): 123 R 4
Exit #9. \(784 \div 5\): 156 R 4
Exit #10. \(939 \div 8\): 117 R 3
Critical Rule: \(R < \text{Divisor}\)
If a remainder is greater than or equal to the divisor (e.g., \(R 5\) when dividing by \(4\)), prompt: "Can you subtract another group of 4?"
Page 1 Key Takeaway Goal
Students anchor: "1. Remainder must always be smaller than the divisor. 2. Verify with \((\text{Quotient} \times \text{Divisor}) + \text{Remainder} = \text{Dividend}\)."
Remainder Quest Review • Day 2 Teacher Guide Page 1 of 1
Remainder Quest Student Bundle Day 2 Review Bundle • Part A
3-by-1 Long Division: Quotients with Remainders
Name:
Date:
Key Takeaway: Rules for Remainders
Check: (Q × Divisor) + Remainder = Dividend
Two Golden Rules:
Rule 1: Remainder must ALWAYS be strictly less than the divisor (\(R < \text{Divisor}\)). Rule 2: Always verify with Step 1 (Multiply) then Step 2 (Add Remainder)!
1
4 579
Quotient: R:
Calculation Space Hundreds • Tens • Ones
4
579
Check on the Side (2 Steps)
1. Multiply • 2. Add Remainder:
Step 1: (Quotient × 4)
× 4
Step 2: Add Remainder:
+ R
Matches 579?
2
5 823
Quotient: R:
Calculation Space Hundreds • Tens • Ones
5
823
Check on the Side (2 Steps)
1. Multiply • 2. Add Remainder:
Step 1: (Quotient × 5)
× 5
Step 2: Add Remainder:
+ R
Matches 823?
Remainder Quest Review Bundle • Independent Practice Page 1 of 5
Day 2 Review Bundle • Part B
3-by-1 Long Division: Remainder Practice
Remainder Fluency
3
6 749
Quotient: R:
Calculation Space Hundreds • Tens • Ones
6
749
Check on the Side (2 Steps)
1. Multiply • 2. Add Remainder:
Step 1: (Quotient × 6)
× 6
Step 2: Add Remainder:
+ R
Matches 749?
4
8 915
Quotient: R:
Calculation Space Hundreds • Tens • Ones
8
915
Check on the Side (2 Steps)
1. Multiply • 2. Add Remainder:
Step 1: (Quotient × 8)
× 8
Step 2: Add Remainder:
+ R
Matches 915?
Remainder Quest Review Bundle • Independent Practice Page 2 of 5
Day 2 Review Bundle • Part C
3-by-1 Long Division: Extra Remainder Practice
Mastery Practice
5
3 682
Quotient: R:
Calculation Space Hundreds • Tens • Ones
