🚦 Priority 1: Twins (M & D)
Multiplication (×) & Division (÷)
First come, first served from Left to Right ➔
➔
🚦 Priority 2: Twins (A & S)
Addition (+) & Subtraction (-)
Next in line from Left to Right ➔
🔽 The "V-Funnel" Rule
Underline first move, rewrite the rest below!
🔍 Part A: Spot the First Move! (Do NOT calculate yet!)
Underline First Operation
Instructions: Look at each expression. Underline the operation that MUST be solved first! Then write its operator sign (+, -, ×, ÷) in the blank.
1.
16 - 3 × 4
2.
35 ÷ 7 + 8
3.
9 + 6 × 5
4.
28 - 20 ÷ 4
5.
12 ÷ 3 × 2
6.
8 × 4 - 15
7.
14 + 18 ÷ 2
8.
30 - 8 + 6
🔽 Part B: 2-Step "V-Funnel" Workouts (Show Intermediate Steps)
Step-Down Mastery
Instructions: Solve the underlined first step into the dashed box. Then solve the remaining step into the green box!
⚔️ Part A: Left-to-Right Twin Showdown (Equal Priority Battles)
Left-to-Right Rule
Crucial Rule: Multiplication (×) and Division (÷) are equal twins! Addition (+) and Subtraction (-) are equal twins! When both appear, solve whichever comes FIRST on the left!
Track 1: Division on the Left vs. Multiplication on the Left
÷ is Left (Solve ÷ first!)
24 ÷ 4 × 2
= × 2 =
× is Left (Solve × first!)
24 × 2 ÷ 4
= ÷ 4 =
Track 2: Subtraction on the Left vs. Addition on the Left
- is Left (Solve - first!)
30 - 10 + 5
= + 5 =
+ is Left (Solve + first!)
30 + 10 - 5
= - 5 =
Track 3: Mixed Operations (Who's on the Left?)
Solve ÷ first:
40 ÷ 8 × 3
= × 3 =
Solve ÷ first:
18 ÷ 3 × 2
= × 2 =
🕵️ Part B: "Speed Bug" Error Detective (Spot, Circle & Repair!)
Confidence Booster
Scenario: A student made classic MDAS mistakes. Circle the wrong step, identify the trap, and solve it correctly in the Green Box!
Problem: 5 + 4 × 3
Student did: 5 + 4 = 9
Then did: 9 × 3 = 27 🛑
✔ Correct Solution:
5 + (4 × 3) = 5 + _____ =
_____
Problem: 18 ÷ 3 × 2
Student did: 3 × 2 = 6
Then did: 18 ÷ 6 = 3 🛑
✔ Correct Solution:
(18 ÷ 3) × 2 = _____ × 2 =
_____
Problem: 20 - 7 + 3
Student did: 7 + 3 = 10
Then did: 20 - 10 = 10 🛑
✔ Correct Solution:
(20 - 7) + 3 = _____ + 3 =
_____
🎯 Part C: 3-Operation Combo Challenge (2-Step Funnel Collapse)
Multi-Step Precision
Instructions: Underline the first operation. Show the intermediate expression, then write the final answer!
#1: 12 + 6 × 3 - 10
[× goes first]
= 12 + - 10
= - 10 =
#2: 50 - 24 ÷ 6 + 7
[÷ goes first]
= 50 - + 7
= + 7 =
#3: 8 × 4 + 18 ÷ 2
[Solve × & ÷ before +]
= +
= Final Answer:
#4: 36 ÷ 4 × 2 - 5
[÷ on left first!]
= × 2 - 5
= - 5 =
🧩 Part A: Operator Detective (Fill in +, -, ×, or ÷)
Algebraic Thinking
Instructions: Write the correct math symbol (+, -, ×, or ÷) inside the purple box to make the equation true under MDAS rules!
14 2 × 3 = 20
40 - 20 4 = 35
6 × 4 8 = 16
36 6 + 10 = 16
📖 Part B: Real-World MDAS Story Quests (Why MDAS Matters!)
Applied Mathematics
Instructions: Write a single MDAS number sentence, solve step-by-step, and state your final answer with correct units!
Quest 1: School Supplies
Marco had ₱100. He bought 4 notebooks at ₱15 each. How much money does he have left?
Number Sentence: 100 - (4 × 15) = ___________
Work: 100 - _______ = _______
Answer with units:
₱
Quest 2: Bake Sale Cookies
Ate Sarah baked 3 boxes with 8 cookies each. She also had 5 extra loose cookies on a tray. How many cookies in total?
Number Sentence: (3 × 8) + 5 = ___________
Work: _______ + 5 = _______
Answer with units:
cookies
Quest 3: Library Book Distribution
48 storybooks were shared equally among 6 reading tables. Then, Teacher Carla placed 2 bonus dictionaries on each table. How many books does each table have now?
Number Sentence: (48 ÷ 6) + 2 = ___________
Work: _______ + 2 = _______
Answer with units:
books
Quest 4: Team Points Challenge
Team Blue started with 10 points. They won 5 quiz rounds worth 6 points each, but lost 4 penalty points for being noisy. What is their final score?
Number Sentence: 10 + (5 × 6) - 4 = ___________
Work: 10 + _______ - 4 = _______ - 4 = _______
Answer with units:
points
🌟 Part C: MDAS Ninja Mastery Scoreboard & Reflection
Self-Assessment
🥋 Student Self-Checklist:
[ ] I underline the first-priority operation before calculating.
[ ] I treat × and ÷ as equal twins (Left to Right).
[ ] I treat + and - as equal twins (Left to Right).
My Math Confidence Today:
⭐⭐⭐⭐⭐
(Color stars based on how confident you feel!)
Sheet 1 Solutions
Part A: First Move
1. 16 - 3 × 4 [×]
2. 35 ÷ 7 + 8 [÷]
3. 9 + 6 × 5 [×]
4. 28 - 20 ÷ 4 [÷]
5. 12 ÷ 3 × 2 [÷ on left]
6. 8 × 4 - 15 [×]
7. 14 + 18 ÷ 2 [÷]
8. 30 - 8 + 6 [- on left]
Part B: Funnel Steps
#1. 8 + 24 = 32
#2. 30 - 6 = 24
#3. 35 - 12 = 23
#4. 5 + 16 = 21
#5. 50 - 42 = 8
#6. 24 + 9 = 33
#7. 81 - 35 = 46
#8. 60 + 9 = 69
#9. 48 + 25 = 73
#10. 100 - 40 = 60
Sheet 2 Solutions
Part A: Twin Battles
Track 1:
• 24 ÷ 4 × 2 = 6 × 2 = 12
• 24 × 2 ÷ 4 = 48 ÷ 4 = 12
Track 2:
• 30 - 10 + 5 = 20 + 5 = 25
• 30 + 10 - 5 = 40 - 5 = 35
Track 3:
• 40 ÷ 8 × 3 = 5 × 3 = 15
• 18 ÷ 3 × 2 = 6 × 2 = 12
Part B: Bug Detective
• Bug 1: 5 + 12 = 17
• Bug 2: 6 × 2 = 12
• Bug 3: 13 + 3 = 16
Part C: Combo Challenge
#1. 12 + 18 - 10 = 30 - 10 = 20
#2. 50 - 4 + 7 = 46 + 7 = 53
#3. 32 + 9 = 41
#4. 9 × 2 - 5 = 18 - 5 = 13
Sheet 3 Solutions
Part A: Operator Detective
1. 14 + 2 × 3 = 14 + 6 = 20
2. 40 - 20 ÷ 4 = 40 - 5 = 35
3. 6 × 4 - 8 = 24 - 8 = 16
4. 36 ÷ 6 + 10 = 6 + 10 = 16
Part B: Story Problems
Quest 1 (Marco's Money):
• 100 - (4 × 15) = 100 - 60
• Answer: ₱40
Quest 2 (Sarah's Cookies):
• (3 × 8) + 5 = 24 + 5
• Answer: 29 cookies
Quest 3 (Library Books):
• (48 ÷ 6) + 2 = 8 + 2
• Answer: 10 books
Quest 4 (Team Points):
• 10 + (5 × 6) - 4 = 10 + 30 - 4
• 40 - 4 = 36 points
💡 Tutor Intervention & Diagnostic Guide:
• If child computes left-to-right blindly (e.g. 5 + 4 × 3 = 27): Have them draw a physical red traffic light over × and ÷ before touching pencil to paper.
• If child always multiplies before dividing (e.g. 18 ÷ 3 × 2 = 3): Remind them that × and ÷ are equal twins born at the exact same second—whoever is standing on the left gets served first!
🏆 MDAS ORDER OF OPERATIONS MASTER AWARD
This certifies that __________________________________________________ has mastered Grade 4 MDAS Rules with accuracy & grit!
Teacher / Tutor Signature
⭐ 100% ⭐
CONFIDENCE CERTIFIED