Operation Rescue Teacher Guide 7th Grade Special Education Resource & Inclusion
Operation Rescue Teacher Guide
5-Day Multi-Step Order of Operations Unit with Explicit Scaffolds
Target Standard CCSS.MATH.7.EE.B.3 Modified Pace (Tier 2/3)
The Funnel Method
Students rewrite expressions line-by-line in an inverted triangle (V-shape), preventing mental arithmetic overload.
Partner Priority
Multiplication/Division & Addition/Subtraction are paired twins worked strictly Left to Right .
Prompting Scale
Systematic fading from full physical highlighters and cue templates to independent desktop checklists.
5-Day Weekly Instructional Roadmap
Day & Focus
Direct Instruction & Modeling
Scaffolded Guided / Independent Work
Check for Mastery
Day 1: GEMDAS Code
Introduce Level 1 (Parentheses) & Level 2 (Simple Exponents). Use color-coded highlighting on slides.
Order Ops Anchor Reference Sheet distribution. 2-step single grouping practice.
Exit Ticket: Highlight First Step (3 items)
Day 2: The Twin Rule
Deconstruct the M/D trap. Teach the "Left-to-Right Finger Slide" technique using Slide Deck 3 & 4.
Step Funnel Worksheet (Part 1: 3-step problems with guided funnel outlines).
Cold Call: M or D First? Showdown
Day 3: The Full Funnel
Combine 3-4 steps: Groupings, Exponents, and Left-to-Right operations. Model step check-off boxes.
Step Funnel Worksheet (Part 2: Multi-step expressions with blank funnel boxes).
Partner Verification Protocol
Day 4: Real-World Missions
Translating 2-step and 3-step real-world scenarios into expressions. Focus on "What happens first?".
Level 3 Application Cards. Graphic organizer with "Underline", "Translate", and "Calculate".
Error Detective Mini-Task
Day 5: Assessment
5-minute warm-up review. Reiterate checking work backwards and using visual anchor cards.
Accommodated Mastery Check Assessment (reduced problem density, checklist supports).
IEP Goal Data Collection
Co-Teaching & Small Group Implementation Note
In an inclusion classroom, run Stations on Days 2 and 3: Station 1 (Teacher-Led): High-scaffold funnel modeling with color markers. Station 2 (Collaborative): Error Detective matching cards. Station 3 (Independent): Step Funnel practice with desk anchor cards.
Operation Rescue Math Bundle • 7th Grade SPED Instructional Plan • Page 1 of 2
Differentiation Matrix
IEP Accommodations & Modifications Guide
Universal Design for Learning (UDL)
Visual & Spatial Accommodations
• Pre-drawn Funnel Templates: Physical inverted trapezoids prevent misalignment of multi-digit numbers.
• Color-Coded Operation Highlighting: P = Purple, E = Pink, M/D = Amber, A/S = Green.
• Reduced Problem Density: No more than 3-4 problems per page with generous 36px+ line heights.
Cognitive & Procedural Accommodations
• Step-Checklist Anchors: Check-off boxes beside each problem line ensure students verify before computing.
• Allowed Calculation Supports: Multiplication charts (up to 12x12) or 4-function calculators for Tier 3.
• Chunked Instructions: Problems are broken into "Identify First", "Compute", and "Bring Down Remainder".
Systematic Prompting Hierarchy for Struggling Students
Level 1: Visual Cue
Teacher points to Anchor Chart pyramid; student finds matching symbol.
Level 2: Verbal Prompt
"Scan left to right. Do you see any multiplication or division first?"
Level 3: Finger Model
Teacher slides student's index finger under the expression to isolate the single pair.
Level 4: Direct Demo
Teacher solves identical parallel problem on whiteboard, then student mirrors.
Top 3 Student Misconceptions & Instant Fixes
Misconception 1
"Multiplication always comes before Division because M is before D in PEMDAS."
Correction: Write them as M / D side-by-side with a left-to-right arrow. Remind students: "They are twins of equal rank! Whoever is on the left goes first!"
Misconception 2
Forgetting to rewrite unchanged numbers and drop-down operators.
Correction: Use vertical "drop down" arrows from the unused numbers to the next line before calculating anything else.
Misconception 3
Treating exponents as base multiplied by exponent (e.g., \( 3^2 = 6 \)).
Correction: Model writing out the expanded form immediately underneath: \( 3^2 \rightarrow 3 \times 3 = 9 \).
Operation Rescue Math Bundle • 7th Grade SPED Accommodations & Interventions • Page 2 of 2
Operation Rescue Slides 7th Grade Math Squad • Tier 2/3 Support
MISSION CODE: GEMDAS
OPERATION RESCUE
Master multi-step math using the Step Funnel Strategy and crack the order of operations code!
4 Levels of Power Left-to-Right Twins The V-Funnel Method
Mission Protocol
The 4 Levels of Operation Power
1
Groupings
Parentheses & brackets come first!
( 6 + 2 )
2
Exponents
Repeated power multiplication.
\( 3^2 = 9 \)
3
Multiply / Divide
Equal partners! Go Left → Right.
× or ÷
4
Add / Subtract
Equal partners! Go Left → Right.
+ or −
Always scan Left to Right like reading a sentence in a book!
Danger Zone Alert
Multiplication & Division Are Equal Twins!
The Common Trap
"PEMDAS has M before D, so I must multiply first!"
\( 12 \div 3 \times 2 \ne 12 \div 6 \)
Doing \( 3 \times 2 \) first gives the wrong answer (2)!
The Rescue Rule
Multiply and Divide have the exact same rank . Solve whichever appears first on the left!
\( 12 \div 3 \times 2 = 4 \times 2 = 8 \)
Correct! Division was first on the left!
Memory Hook: M and D are twins holding hands! Left to Right wins the race.
Level 4 Partner Rule
Addition & Subtraction Are Twins Too!
Don't Fall For It
Thinking you must add before subtracting even when subtraction comes first!
\( 15 - 5 + 4 \ne 15 - 9 \)
Adding \( 5 + 4 \) first makes it wrong (6)!
Solve Left to Right
Slide your finger from left to right. Subtract first because it appears first!
\( 15 - 5 + 4 = 10 + 4 = 14 \)
Correct! \( 10 + 4 = 14 \)!
Golden Rule: A and S share Level 4! Never skip subtraction if it is on the left!
Visual Tool
The Step Funnel (Tornado) Strategy
1
Underline ONE Pair
Find the highest priority operation and underline it.
2
Calculate Underneath
Write the answer directly below with a small V-arrow.
3
Order Ops Anchor Reference Order Ops Anchor Reference
7th Grade Rescue Squad • Desk Reference Guide
Name: Date:
The 4 Levels of Operation Power (Top = First!)
Work from Level 1 Down to Level 4
1
GROUPINGS & PARENTHESES Do all operations inside grouping symbols first!
( 4 + 5 ) [ 8 - 2 ]
2
EXPONENTS & POWERS Multiply the base number by itself!
3² = 3 × 3 = 9
3
MULTIPLY OR DIVIDE Equal Twins!
Go strictly Left to Right . Whoever is first wins!
× ↔ ÷ (L → R)
4
ADD OR SUBTRACT Equal Twins!
Go strictly Left to Right . Whoever is first wins!
+ ↔ − (L → R)
The "Twins" Trap Warning
M does not beat D !A does not beat S !
18 ÷ 3 × 2 → 6 × 2 = 12 ✓
18 ÷ 3 × 2 → 18 ÷ 6 = 3 ✗
Tip: Use your index finger to slide from left to right!
The V-Funnel Strategy
14 + (8 - 2) × 3
↓ Solve Parentheses ↓
14 + 6 × 3
↓ Multiply beats Add ↓
14 + 18
↓ Final Addition ↓
32
My Step-by-Step Problem Solving Routine
1 Scan
Find Parentheses or Exponents first.
2 Underline
Underline the exact ONE pair you will solve.
3 Drop Down
Rewrite untouched numbers & symbols below.
4 Funnel
Repeat until one single number remains.
Operation Rescue • 7th Grade SPED Anchor Card Keep this reference card flat on your desk during all practice missions!
Step Funnel Practice Worksheet Operation Rescue • Student Practice Mission
Step Funnel Practice Worksheet
Solve one step at a time. Bring down untouched numbers to form your funnel.
Name:
Date:
Order of Power: 1. ( ) Groupings → 2. Exponents → 3. × / ÷ (L → R) → 4. + / − (L → R)
LEVEL 1 Guided Funnel Outlines • Underline the First Step
Follow the arrow guides
Mission 1
□ P □ MD □ AS
\( 18 - (4 + 6) \div 2 \)
Line 1: 18 − [ ] ÷ 2
Line 2: 18 − [ ]
Final Answer:
Mission 2
□ MD (L) □ MD (R) □ AS
\( 24 \div 6 \times 3 + 5 \)
Line 1: [ ] × 3 + 5
Line 2: [ ] + 5
Final Answer:
LEVEL 2 Independent Funnels • Draw Your Own V-Lines
Check off your steps
Mission 3 Watch the Left-to-Right twins!
\( 15 - 3 \times 4 + 7 \)
Work lines down:
Steps: □ × □ − □ +
Mission 4 Parentheses first!
\( (7 + 5) \div 4 \times 6 \)
Work lines down:
Steps: □ ( ) □ ÷ □ ×
Operation Rescue • Step Funnel Practice Page 1 of 2
LEVEL 3 CHALLENGE & APPLICATION
Multi-Step Powers & Word Problem Rescue
Remember: \( 2^3 = 2 \times 2 \times 2 = 8 \)
Mission 5: Power Up Exponent Inside!
\( 3^2 + 10 \div 2 - 4 \)
Expand exponent, then funnel:
Steps: □ Exp □ ÷ □ + □ −
Mission 6: Complex Grouping Inside ( ) First!
\( 6 \times (9 - 7)^2 + 8 \)
Solve inside ( ), then square:
Steps: □ ( ) □ Exp □ × □ +
Mission 7: The School Store Rescue
Chunked Problem Solving Organizer
Marcus bought 3 notebooks for $4 each and 2 pens for $2 each . He had a discount coupon for $5 off his total . How much money did Marcus spend?
Part A: Underline Key Operations
3 notebooks at $4 • 2 pens at $2 • Coupon: Subtract $5
Part B: Write Math Expression Example: 3 × 4 + ...
Part C: Funnel to Find Total Cost
Work line by line:
Total Spent: $
Rescue Squad Self-Check: How do you feel about multi-step funnels?
&circle; Still Need Rescue I need teacher help with M/D
&circle; Getting Stronger I can do it with my anchor card
Step Funnel Answer Key Teacher / Paraeducator Solution Guide
Step Funnel Answer Key • Part 1
Full worked funnel solutions and diagnostic indicators for Missions 1–4
Answer Key Missions 1 to 4
Level 1 Solutions & Error Diagnostics
Mission 1: \( 18 - (4 + 6) \div 2 \) Ans: 13
18 − (4 + 6) ÷ 2
18 − 10 ÷ 2 (Solved parentheses first)
18 − 5 (Division beats subtraction)
= 13
Common Error: If student got 4 , they subtracted \( 18 - 10 = 8 \), then \( 8 \div 2 = 4 \). Remind them: Division has higher rank than subtraction!
Mission 2: \( 24 \div 6 \times 3 + 5 \) Ans: 17
24 ÷ 6 × 3 + 5
4 × 3 + 5 (Left-to-right: ÷ before ×)
12 + 5 (Multiply before add)
= 17
Common Error: If student got \( 6.33 \), they fell into the M-before-D trap: \( 6 \times 3 = 18 \), then \( 24 \div 18 \). Point to the Left-to-Right twin rule!
Level 2 Solutions & Error Diagnostics
Mission 3: \( 15 - 3 \times 4 + 7 \) Ans: 10
15 − 3 × 4 + 7
15 − 12 + 7 (Multiply first: 3 × 4 = 12)
3 + 7 (L → R: subtract before add)
= 10
Common Error: If student got -4 or was confused, they added \( 12 + 7 = 19 \), then tried \( 15 - 19 \). Emphasize: Subtraction came first on the left!
Mission 4: \( (7 + 5) \div 4 \times 6 \) Ans: 18
(7 + 5) ÷ 4 × 6
12 ÷ 4 × 6 (Parentheses: 7 + 5 = 12)
3 × 6 (L → R: 12 ÷ 4 = 3)
= 18
Common Error: If student got 0.5 , they multiplied \( 4 \times 6 = 24 \) first, then did \( 12 \div 24 \). Review Level 3 Left-to-Right scanning.
Operation Rescue • Step Funnel Answer Key Page 1 of 2
TEACHER GUIDE • ADVANCED MISSIONS
Step Funnel Answer Key • Part 2
Solutions for Missions 5 & 6 (Exponents) and Mission 7 (Word Problem)
Answer Key Missions 5 to 7
Mission 5: \( 3^2 + 10 \div 2 - 4 \) Ans: 10
3² + 10 ÷ 2 − 4
9 + 10 ÷ 2 − 4 (Exponent: 3 × 3 = 9)
9 + 5 − 4 (Divide: 10 ÷ 2 = 5)
14 − 4 (Add: 9 + 5 = 14)
= 10
Diagnostic: If student got 7 , they calculated \( 3^2 = 6 \) (multiplying base by exponent). Have them write \( 3 \times 3 \) out.
Mastery Check Assessment Operation Rescue • Day 5 Unit Assessment
Mastery Check Assessment
Show all your steps using the funnel method. Box your final answer.
Name:
Date:
□ Anchor Chart □ Calculator
Remember: 1. ( ) Grouping | 2. Exponents | 3. × / ÷ (L → R) | 4. + / − (L → R)
Problem 1: Grouping First 3 Points
\( (15 - 3) \div 4 + 7 \)
Work lines down:
Answer:
Problem 2: Twin Rule 3 Points
\( 20 \div 2 \times 3 - 6 \)
Work lines down:
Answer:
Problem 3: Power Up 3 Points
\( 4^2 - 2 \times 5 + 3 \)
Work lines down:
Answer:
Problem 4: Multi-Step 3 Points
\( 2 \times (10 - 6) + 18 \div 3 \)
Work lines down:
Answer:
Problem 5: Error Detective Challenge
3 Points
Agent Alex tried to solve \( 16 - 8 + 4 \). Look at Alex's work below. Find the mistake and solve it correctly!
Alex's Work (Has a Mistake!)
16 − 8 + 4
16 − 12 ← (Added 8 + 4 first)
= 4 ✗
What rule did Alex forget?
Your Correct Funnel:
Correct Answer:
Operation Rescue • Total Points: 15 Mastery Target: 12/15 (80%) • CCSS.MATH.7.EE.B.3
Mastery Check Answer Key Special Education Scoring Guide & Rubric
Mastery Check Answer Key
Worked solutions, IEP goal data criteria, and intervention diagnostics
Assessment Key Total: 15 Points
Problem 1: \( (15 - 3) \div 4 + 7 \) Answer: 10
(15 − 3) ÷ 4 + 7
= 12 ÷ 4 + 7 (Parentheses: 12)
= 3 + 7 (Divide: 3)
= 10
Rubric: 1 pt grouping, 1 pt division, 1 pt correct sum (10).
Problem 2: \( 20 \div 2 \times 3 - 6 \) Answer: 24
20 ÷ 2 × 3 − 6
= 10 × 3 − 6 (L → R: ÷ before ×)
= 30 − 6 (Multiply: 30)
= 24
Trap Alert: If answer is \( -2.67 \), student did \( 2 \times 3 = 6 \) first.
Problem 3: \( 4^2 - 2 \times 5 + 3 \) Answer: 9
4² − 2 × 5 + 3
= 16 − 2 × 5 + 3 (Exponent: 4 × 4 = 16)
= 16 − 10 + 3 (Multiply: 10)
= 6 + 3 = 9
Trap Alert: If \( 4^2 = 8 \), review repeated multiplication.
Problem 4: \( 2 \times (10 - 6) + 18 \div 3 \) Answer: 14
2 × (10 − 6) + 18 ÷ 3
= 2 × 4 + 18 ÷ 3 (Parentheses: 4)
= 8 + 18 ÷ 3 (Multiply: 8)
= 8 + 6 = 14
Rubric: 1 pt grouping, 1 pt both M/D ops, 1 pt sum (14).
Problem 5: Error Detective Solution & Feedback Guide Correct Ans: 12
Alex's Flaw:
Alex calculated addition before subtraction: \( 8 + 4 = 12 \).
Rule Explained:
Addition and Subtraction are equal twins . When they appear together, solve Left to Right .
Correct Funnel:
16 − 8 + 4
= 8 + 4
= 12
IEP Progress Monitoring Documentation Template
Standard IEP Goal: "By [Date], given a multi-step expression with up to 4 operations, student will correctly apply the order of operations using visual organizers with at least 80% accuracy across 3 consecutive trials."
Score: _____ / 15 (___%)
Prompts Needed: 0 • 1-2 • 3+
Accommodations: Calc • Anchor • Extended
Operation Rescue • Mastery Check Assessment Answer Key Tier 2/3 Special Education Support Guide
