Comparison Machine ScriptComparison Machine Script Facilitation Guide • Lesson 1 Section 1 The Factory Hook Say: "Welcome, Managers! You've been hired at the world's most famous toy factory. Today, we're going to master the logic behind our Comparison Machine. We need to figure out exactly how much 'times as many' means for our production counts." Section 2 Logic Check Say: "Look at the Core Logic section at the top of your guide. When we say '4 times as much,' it means we take our original group and repeat it 4 times! Look at the blueprint models on the right—whether it's a strip diagram or an array, we are repeating groups to see the big picture." Section 3 The RDW Tool Say: "Finally, look at the RDW Strategy box. This is your procedural tool to ensure accuracy. First, you Read the whole problem, then go back and read each sentence one at a time. Second, you Draw to represent exactly what you just read. Finally, you Write your answer. This step-by-step audit keeps our factory counts perfect." Section 4 Production Log Say: "Use your reference guide logic to complete your Manager's Daily Production Log. Let's get to work!" Tycoon Checklist Concept of repeating original groups? Drawing matches the sentence? Full sentence in the 'Write'? Manager Tip Focus on the 'represent' part of Drawing. The model should be a direct visual translation of the sentences read in the first step.
Comparison Machine PracticeThe Comparison Machine Manager's Daily Production Log • TEKS 3.5C & 3.4K Tycoon: Shift Date: Urgent Memo Comparison Briefing Welcome to the floor, Manager! Use RDW (Read, Draw, Write) to solve our production orders. Models like arrays and strip diagrams help us see how much we're making! Training Level: Production Visualization Case Study #001 🤖 Line A produces 4 robots. Line B produces 3 times as many as Line A. Line A 4 Line B ? ? ? Manager's Description Line B is _______ times as much as Line A. Mathematical Code ______ × ______ RDW Production Task: The Array Line Read -> Draw -> Write "A toy shipment has 4 boxes. Each box has 8 action figures inside. How many action figures are there in all?" Draw (Model an Array or Strip Diagram Here): Write (Equation): Write (Statement): Tycoon Challenge: Independent Orders TASK 2 A crate holds 5 times as many marbles as a small box that holds 9 marbles. Manager's Blueprint (Strip Diagram) Equation: TASK 3 Decipher the code: 4 × 12 Write a Comparison Sentence for this: ______ is ______ times as much as ______.
Comparison Machine Reference SheetComparison Machine Guide Manager's Reference Sheet • TEKS 3.5C & 3.4K Training Module 01 Core Logic: "Times as Much" When we say a machine makes 4 times as much, it means we repeat the original group 4 times. 4 × Original = Total The RDW Strategy R READ: Read the whole problem. Then read each sentence one at a time. D DRAW: Represent what you read. W WRITE: Create an equation & statement. Manager's Blueprint Models Model 1: Strip Diagram (Comparison) Line A: 5 Line B: "Line B is 3 times as much as Line A" Model 2: Array (Grouping) "3 rows of 6 teddy bears = 18 total" Use these models in your "Manager's Daily Production Log" to solve problems!
Comparison Machine Answer KeyComparison Machine Answer Key Teacher Reference • Lesson 1 Training Level Solutions Case Study #001: Description 3 times as much Case Study #001: Expression 3 × 4 RDW Production Task Expected Work: Draw: Student should model 4 groups of 8 (e.g., a 4x8 array or a strip diagram with four sections of 8). Write (Equation): 4 × 8 = 32 Write (Statement): There are 32 action figures in all. Independent Orders Task 2 (Equation) 5 × 9 = 45 Task 3 (Sentence) 48 is 4 times as much as 12.
Table Detective PracticeTable Detective Practice Confidential Investigation Log • TEKS 3.5E & 3.5B Badge Number: Active Case Detective Memo: Cracking the Rule Sleuths use the RDW (Read, Draw, Write) method to find the secret rules. Investigate how each machine changes the Input into an Output using all four operations. Evidence Collection: Active Machines The Paint Sprayer Context: Each toy gets 5 layers of protective paint. Toys (In)Layers (Out)2104206308🔎 Secret Rule: The Fabric Trimmer Context: The machine removes 7 scrap pieces from every bin. Parts (In)Final (Out)1582013302345🔎 Secret Rule: Independent Investigation: The Floor Shift Shipping Tracker Context: Boxes arrive in 7 days from the shipping date. Date Shipped (In)Date Arrived (Out)3101017152221🔎 Secret Rule: The Crate Packer Context: Toy robots are packed into crates of 8. Toys (In)Crates (Out)16224340572🔎 Secret Rule: Special Mission: Assembly Check "The labeling machine adds 15 safety labels to every crate before it leaves. If there are 34 items already inside, what is the total count?" Draw (Show the Addition Relationship):
Rule Finder ScriptRule Finder Script Facilitation Guide • Lesson 2 Section 1 The Detective Guide Say: "Welcome back, Sleuths! Today we are looking for patterns across the factory. Every machine follows a unique relationship. Our mission is to investigate addition, subtraction, multiplication, and division." Section 2 Investigating Operations Say: "Look at the Investigating All Operations box on your guide. Tycoons check if the output is getting larger or smaller. Use the context clues—like removing fabric or packing crates—to help you identify the rule. Remember, it must work for every single row!" Section 3 Detective Evidence Say: "Use your Evidence Checklist for every audit. Does it work for row 1? Row 2? Use the sample table at the bottom to practice your logic before starting the shift." Section 4 Procedural Tool Say: "As a reminder, always use your Procedural Audit Tool. Read the whole problem first, then go back sentence by sentence. Draw your model to represent exactly what you read. Finally, write your rule. This keeps our detective work organized and accurate!" Sleuth Checklist Larger Output = (+) or (×) Smaller Output = (−) or (÷) RDW used for challenge? Teacher Note Focus on the operation choice. RDW is the 'procedural audit' used to verify findings and solve the final word problem challenge.
Rule Finder Reference SheetRule Finder Detective Guide Sleuth Reference Sheet • TEKS 3.5E & 3.5B Training Module 02 The Machine Model Input 5 Output 40 The Secret Rule: Multiply by 8 Investigating All Operations Sleuths look for how numbers change across four types of machines: Addition "12 More" Subtraction "7 Less" Multiply "5 Times" Division "Split by 8" Evidence Checklist Does the rule work for EVERY row in the table? Is the output getting larger or smaller? InOut212318 Secret Code: × 6 Procedural Audit Tool: R: Read whole problem. Then each sentence one at a time. D: Represent what you read. W: Write equation & statement. Senior Detective Certification: Relationship Specialist
Table Detective Answer KeyTable Detective Answer Key Teacher Reference • Lesson 2 Machine Rule Solutions Machine A: Paint Sprayer Rule: × 5 Output for 8: 40 Layers Machine B: Fabric Trimmer Rule: − 7 Output for 45: 38 Final Machine C: Shipping Tracker Rule: + 7 Output for 21: 28 Arrived Machine D: Crate Packer Rule: ÷ 8 Output for 72: 9 Crates Final RDW: Assembly Check Expected RDW Workflow: Draw: A model showing 34 items and a group of 15 labels being added to find the total. The Rule Add 15 Total Calc 34 + 15 = 49
Factory Finale ScriptFactory Finale Script Facilitation Guide • Lesson 3 Section 1 Graduation Prep Say: "Managers, today is the big day! It is time for your Tycoon Graduation. Please look at your Mastery Guide. We're going to review our skills from the whole week before you take your final certification exam." Section 2 Skills Review Say: "Look at your Certification Samples. We've mastered division for packing crates and subtraction for audits. Also, remember your Table Evidence Checklist: always check every single row in the data! And don't forget our core logic: multiplication comparisons tell us how many times to repeat a group." Section 3 Elite Audit Workflow Say: "Finally, use your Elite Audit Workflow box. It follows our RDW strategy. First, Read the whole problem, then go back and read each sentence one at a time. Second, Draw your model to represent exactly what you read. Third, Write your final solution. This strategy ensures you'll graduate as a top-level tycoon!" Section 4 Final Exam Say: "Once you work through all four departments on the graduation challenge, sign your certificate. Good luck, tycoons!" Elite Assessment Are models drawn for Tasks 1 & 2? Is the subtraction rule correct? Are table rules verified across rows? Graduation Note Reinforce the 'sentence by sentence' reading habit during the final audit. Accuracy is the hallmark of an elite tycoon.
Tycoon Graduation ChallengeTycoon Graduation Challenge Official Certification Exam • TEKS 3.4K, 3.5B, 3.5E Tycoon Candidate: TASK 01: MULTIPLICATION Comparison Scaling "Line 1 packs 8 boxes. Line 2 packs 6 times as many." Equation: _____ × _____ = _____ TASK 02: SUBTRACTION Production Scrap Audit "The factory produced 85 toy trucks. Managers removed 27 broken trucks. How many are left?" Equation: 85 − 27 = _____ TASK 03 The Kit Packer Rule: Divide Parts into Kits of 8. InOut40548664880🔎 Secret Rule: TASK 04 The Pallet Loader Rule: Add 15 lbs for the wood pallet. InOut10252035355050🔎 Secret Rule: Final Certification Signature Tycoon Graduate Signature
Factory Finale Reference SheetFactory Finale Mastery Guide Tycoon Graduation Prep • TEKS 3.4K, 3.5B, 3.5E Elite Candidate Elite Audit Workflow R READ Read whole problem. Then each sentence one at a time. D DRAW Represent what you read. W WRITE Create an equation & statement. Table Evidence Checklist Does the rule work for EVERY row in the table? Is the output getting larger or smaller? Certification Samples Division Logic "72 robots packed into crates of 9 each." 72 ÷ 9 = 8 Crates Subtraction Logic "20 toy parts started. 8 parts removed." 20 − 8 = 12 Left Tycoon Reminder: Multiplication comparisons tell us how many times to repeat a group! Comparisons Table Rules RDW Mastery
Tycoon Graduation Answer KeyTycoon Graduation Answer Key Teacher Reference • Lesson 3 Task 01: Scaling Solutions Visual Model Strip diagram with 6 sections of 8 Executive Equation 6 × 8 = 48 boxes Task 02: Scrap Audit Solutions Manager's Blueprint (D) Student should draw a model showing 85 items total, with a section of 27 marked for removal. The Equation 85 − 27 = 58 Final Statement There are 58 toy trucks ready for shipping. Task 03: Kit Packer Audit Finding (Rule) ÷ 8 Final Output (80) 10 Kits Task 04: Pallet Loader Audit Finding (Rule) + 15 Final Output (50) 65 lbs