Mastering the Maze Lesson Plan Mastering the Maze
Lesson Plan • Long Division
Audience
9th Grade Math
Duration
60 Minutes
Learning Objective
Students will be able to fluently divide multi-digit numbers using the standard algorithm, confidently solving problems with dividends up to four digits and single or double-digit divisors.
Why This Lesson?
Long division is a foundational skill in mathematics, essential for understanding fractions, decimals, and algebraic concepts. Mastering it builds confidence in problem-solving and prepares students for more complex mathematical challenges in high school and beyond.
Teacher Prep
Review slide deck and script.
Print Division Drill Worksheets (1 per student).
Print Real World Problems (1 per student/pair).
Ensure projector is functioning.
Time Required: ~15 minutes.
Required Materials
Maze of Long Division Slide Deck
Division Drill Worksheet
Real World Division Activity
Cool Down Exit Ticket
Instructional Sequence
Time Phase Key Activities 10 min Warm-Up Review basic division facts and vocabulary (Dividend, Divisor, Quotient). 15 min Direct Instruction Introduce the "DMSBR" algorithm using the slide deck. 15 min Guided Practice Solve 2-3 problems as a class on whiteboards. Focus on neatness. 15 min Independent Work Complete the Division Drill Worksheet. Individualized support. 5 min Cool Down Exit Ticket assessment.
Detailed Procedures
1. Warm-Up Review (10 mins)
Display the Warm-Up Review on the board. Students work independently for 5 minutes. Review as a class to activate prior knowledge of basic facts ($42 \div 6$, etc.) and academic vocabulary.
2. Direct Instruction: The Algorithm (15 mins)
Use the Slide Deck to introduce **DMSBR** (Divide, Multiply, Subtract, Bring Down, Repeat/Remainder). Use the mnemonic: Dad, Mother, Sister, Brother, Rover . Walk through $72 \div 3$ step-by-step.
3. Guided Practice: Navigating Together (15 mins)
Solve $98 \div 4$ together. Focus on the remainder ($24 \ R \ 2$). Check that students are aligning their columns correctly—this is where most errors occur.
4. Independent & Application (15 mins)
Hand out the Drill Worksheet. Once students finish the drill, they move to the Real World Activity. This connects division to seating charts, gas mileage, and budgeting.
5. Cool Down (5 mins)
Collect Exit Tickets. Use these to group students for the next session based on their confidence levels and accuracy with $189 \div 9$.
Teacher Tip: Common Pitfalls
Column Misalignment: Remind students that the quotient digit must sit directly above the digit being divided.Subtraction Errors: If the result of subtraction is greater than the divisor, they didn't divide enough!Zeros in the Quotient: Students often forget to place a zero when the divisor doesn't go into a brought-down number. Long Division Slide Deck Mastering the Maze
The Standard Algorithm for Long Division
9th Grade Mathematics
Warm-Up: Brain Activation
Vocabulary
1. What is the dividend in \(25 \div 5 = 5\)?
2. What is the divisor in \(48 \div 6 = 8\)?
3. What is the quotient in \(81 \div 9 = 9\)?
Quick Math
4. \(36 \div 4 = ?\)
5. \(63 \div 7 = ?\)
Time: 5 Minutes
The Map to the Maze
The Standard Algorithm is a repeating cycle of 5 steps:
D
Divide
Dad
M
Multiply
Mother
S
Subtract
Sister
B
Bring Down
Brother
R
Repeat / Remainder
Rover
Step One
Divide!
Example: \(72 \div 3\)
How many times does the divisor go into the first digit of the dividend ?
3 goes into 7... 2 times .
2
Step Two
Multiply!
Multiply your new quotient digit by the divisor.
\(2 \times 3 = \mathbf{6}\)
Write the product under the digit you just divided.
2
Step Three
Subtract!
Subtract the product from the dividend digit.
\(7 - 6 = \mathbf{1}\)
Check: Is 1 less than the divisor (3)? YES!
2
1
Step Four
Bring Down!
Bring down the next digit from the dividend to join your remainder.
This creates a new number to work with: 12
2
1 2
Step Five
Repeat or Finish!
Repeat the steps with the new number (12).
D: \(12 \div 3 = 4\)M: \(4 \times 3 = 12\)S: \(12 - 12 = 0\)B: No more digits!
Warm Up Review Worksheet Warm-Up Review
Division Detective Prep
Name:
Date:
Directions: Answer the following questions to get your brain ready for the Long Division Maze!
Part 1: Division Vocabulary
1. What do we call the number being divided? (The total amount you are starting with)
2. What do we call the number that divides the dividend? (How many groups or how many in each group)
3. What do we call the result or answer to a division problem?
Part 2: Quick Math Facts
Problem 4
\(42 \div 6 =\)
Problem 5
\(56 \div 8 =\)
"Ready for the Maze? Long division is just these steps repeated!"
Teacher Instructional Script Teacher Script
Mastering the Maze: Long Division
Introduction (10 mins)
Display Slide 2
"Good morning, everyone! Today, we're diving into a super important math skill: long division . Think of it as a fun maze we're going to navigate together. To get started, let's warm up our brains with some quick division practice and vocabulary review. Take about five minutes to answer the questions on the screen in your notebooks. Ready, set, go!"
Direct Instruction (15 mins)
Slides 3-8
Slide 3: The Map
"Long division might look intimidating, but we have a map! Does anyone remember the family mnemonic? Dad, Mother, Sister, Brother, Rover. This stands for: Divide, Multiply, Subtract, Bring Down, and Repeat or Remainder."
Slide 4-8: The Steps
"Let's look at 72 divided by 3. First, we Divide . How many times does 3 go into 7? Twice. We write 2 above the 7. Next, Multiply 2 by 3 to get 6. Write that under the 7. Now, Subtract 6 from 7 to get 1. Bring Down the 2. Now we have 12. Finally, Repeat : How many times does 3 go into 12? Four times."
Guided Practice (15 mins)
Slide 9
"Let's solve 98 ÷ 4 together. Work along with me on your whiteboards. First step: Divide. How many 4s in 9? (Two). Multiply 2 x 4 = 8. Subtract 9 - 8 = 1. Bring down the 8. Now we have 18. How many 4s in 18? (Four). Multiply 4 x 4 = 16. Subtract 18 - 16 = 2. No more numbers to bring down, so our remainder is 2!"
Independent & Wrap Up (20 mins)
"Now it's time to put your skills to the test. Work through the Division Drill . If you finish early, move on to the Real World Routes activity. Before you leave, complete the Exit Ticket so I can see how you're feeling about the maze!"
Division Drill Worksheet Division Drill
Conquer the Algorithm
Student:
Date:
1. Divide 2. Multiply 3. Subtract 4. Bring Down 5. Repeat / Remainder
1
\(78 \div 3\)
2
\(96 \div 4\)
3
\(135 \div 5\)
4
\(252 \div 7\)
5
\(348 \div 6\)
6
\(425 \div 25\)
7
\(576 \div 18\)
8
\(847 \div 22\)
Challenge Problem
9. A factory produces 1,560 toy cars . If they pack 12 cars into each box, how many boxes will they need?
Real World Division Problems Activity Real World Routes
Applying Long Division to Life
Name: _______________________ Date: ________________________
1
The Party Planner
You are organizing a graduation party for 75 guests . Each circular table can seat 8 people . How many tables do you need to set up so that every guest has a seat?
Final Answer: ___________ tables
2
Road Trip Adventure
Your family is going on a 450-mile road trip. If your car maintains an average speed of 60 miles per hour , how many hours will the trip take (excluding stops)?
Final Answer: ___________ hours
3
Bake Sale Bonanza
The school bake sale raised exactly $385 . If every baked item was sold for the same price of $5 , how many individual items were sold in total?
Final Answer: ___________ items
4
The Library Layout
You have 620 books to arrange on shelves. If each shelf can hold 40 books , how many shelves will you need? Will all shelves be completely full?
Shelves needed: ___________
5
Marathon Pace
A marathon is 26 miles long. If an athlete runs at a steady pace of 4 miles per hour , how many hours will it take to finish? Express your answer with a fraction or decimal.
Final Answer: ___________ hours
Cool Down Exit Ticket Cool Down Exit Ticket
Show What You Know
Task: Solve using the Standard Algorithm
\(189 \div 9\)
Self-Reflection
Not Confident
Somewhat
Very Confident
Long Division Answer Keys Answer Keys
Teacher Resource
Division Drill Key
1. \(78 \div 3\) 26
2. \(96 \div 4\) 24
3. \(135 \div 5\) 27
4. \(252 \div 7\) 36
5. \(348 \div 6\) 58
6. \(425 \div 25\) 17
7. \(576 \div 18\) 32
8. \(847 \div 22\) 38 R 11 (38.5)
Challenge: 1,560 ÷ 12 = 130 boxes
Real World Routes Key
1. Party Planning (75 ÷ 8)
Result: 9 R 3. In the real world, 9 tables aren't enough for the extra 3 people.
Answer: 10 tables
2. Road Trip (450 ÷ 60)
Result: 7.5
Answer: 7.5 hours (or 7 hours 30 mins)
3. Bake Sale ($385 ÷ $5)
Result: 77
Answer: 77 items
4. Library Layout (620 ÷ 40)
Result: 15 R 20. Need an extra shelf for the remainder.
Answer: 16 shelves (No, they won't all be full)
5. Marathon Pace (26 ÷ 4)
Result: 6 R 2
Answer: 6.5 hours (or 6 \(\frac{1}{2}\) hours)
Exit Ticket Check
\(189 \div 9 = \mathbf{21}\)
Check: \(21 \times 9 = 189\). All students should ideally reach this result independently.
