Fraction Factory Facilitator Guide Fraction Factory
Facilitator Guide
Subject: Math
Grade: 4th Grade
Topic: Like Denominators
Learning Objectives
Add and subtract fractions with like denominators using visual models.
Explain why the denominator remains the same during addition and subtraction.
Represent fractional operations using equations and area models.
Factory Materials
Fraction Factory Slides
Blueprint Builders Activity Cards
Fraction Bars/Circles (Physical or Paper)
Quality Control Worksheets
Delivery Dash Game Board & Dice
Essential Question
"When we combine or take away parts of a whole, why does the size of the pieces stay the same?"
Standards Alignment
CCSS.MATH.CONTENT.4.NF.B.3.A: Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
Production Schedule
1
Shift Kickoff: The Pizza Problem (10 mins)
Start by telling the students they are new engineers at the Fraction Factory. Today's order: Two partial pizzas. Show a visual of 2/8 of a pizza and 3/8 of a pizza. Ask: "If we put these pieces in one box, how many eighths do we have?"
Teacher Note: Look for students who might say "5/16". Use this as a teaching moment to discuss how the size of the slices (the denominator) hasn't changed, just the count of slices (the numerator).
2
Assembly Line: Direct Instruction (15 mins)
Use the Fraction Factory Slides to demonstrate addition and subtraction. Focus heavily on the visual model first before introducing the numerical equation.
Show \( \frac{2}{6} + \frac{3}{6} \). Model it by shading 2 parts, then 3 more parts of the same bar.
Show subtraction \( \frac{5}{6} - \frac{2}{6} \). Model it by shading 5 parts and crossing 2 out.
Emphasize: "We are counting sixth-sized pieces. The name of the piece doesn't change!"
3
Blueprint Builders: Guided Practice (15 mins)
Distribute the Blueprint Builders Activity . Students work in pairs to solve "manufacturing errors" (addition and subtraction problems) using physical fraction bars. Circulate to ensure they aren't adding the denominators.
4
The Quality Check: Closing (10 mins)
Review one problem as a class. Have a student explain the "Golden Rule of the Factory": Keep the pieces the same size (Denominator), only change the count (Numerator).
The Tool Belt: Differentiation
Support Station
For students struggling with the concept, use pre-cut fraction circles . Physically moving the pieces into a "whole" container helps solidify that the size of the wedge is constant.
Advanced Engineering
Challenge students with results that equal 1 whole or greater than 1. Ask: "What happens if we have 5/4 of a bar? How do we ship that?"
Quality Inspection
Formative:
Observe students during Blueprint Builders. Are they adding denominators? Are they drawing bars accurately?
Summative:
The Quality Control Worksheet serves as the final shift report. Use it to gauge mastery of basic operations.
Shift Lead Script Snippet
"Listen up, Team! Today we are working with eighths. If I add \( \frac{2}{8} \) and \( \frac{3}{8} \), I am NOT changing the size of our pizza slices. I am just putting more of them together. We have 5 slices, and they are still eighths. Write it with me: 2 plus 3 is 5, and the denominator says: 'I’m still an 8!'"
Fraction Factory Slides Fraction Factory
Shift 01: Addition & Subtraction
Engineering Operations with Like Denominators
Mission Briefing
1
Master the art of Combining and Separating fractional parts.
2
Keep our pieces the Same Size throughout production.
3
Create Blueprints using bars and circles.
Authorized Personnel Only
Incoming Order: Pizza Delivery!
Box A has \( \frac{2}{8} \) of a pizza.
Box B has \( \frac{3}{8} \) of a pizza.
"Can we fit these into ONE box?"
\( \frac{2}{8} \)
\( \frac{3}{8} \)
Total = ?
Adding Parts
The Process:
Add the numerators.
Keep the denominator.
Count the total parts.
\[ \frac{2}{6} + \frac{3}{6} = \frac{5}{6} \]
Model for Sixth-sized pieces
Subtracting Parts
When we remove parts, the size of the pieces Does Not Change.
"If I have 5 slices and I eat 2, I have 3 slices left. They are still the same size slices!"
\[ \frac{5}{6} - \frac{2}{6} = \frac{3}{6} \]
Start with 5, Remove 2
The Golden Rule
"Change the NUMERATOR (the count),
\( \frac{1}{4} + \frac{2}{4} = \frac{3}{4} \) ✅
\( \frac{1}{4} + \frac{2}{4} = \frac{3}{8} \) ❌
On-Site Training
Task 01
\[ \frac{4}{10} + \frac{5}{10} = \_\_\_ \]
Task 02
\[ \frac{7}{12} - \frac{3}{12} = \_\_\_ \]
Sketch a bar model for one of these in your notebook!
To the Floor!
Grab your tools. It's time to build the blueprints and perform the quality checks. Engineers, to your stations!
Activity: Blueprint Builders
Game: Delivery Dash
Blueprint Builders Activity Blueprint Builders
Engineering Task Force: Fraction Factory
Station No.
Shift Date
Engineer 1: _______________________________
Engineer 2: _______________________________
Project Instructions
Analyze each blueprint below. Use your fraction bars to model the operation, then shade the final production bar and complete the manufacturing equation.
Task 01: Assembly UNIT: 8THS
Combine \( \frac{3}{8} \) of a steel beam with \( \frac{2}{8} \) of a beam.
\( \frac{3}{8} + \frac{2}{8} = \frac{\phantom{00}}{8} \)
Task 02: Reduction UNIT: 5THS
Start with \( \frac{4}{5} \) of a fuel tank. Remove \( \frac{2}{5} \).
\( \frac{4}{5} - \frac{2}{5} = \frac{\phantom{00}}{\phantom{00}} \)
Task 03: Gear Ratios UNIT: 4THS
"Combine 1 quarter and 2 quarters."
\( \frac{1}{4} + \frac{2}{4} = \_\_\_ \)
Task 04: Quality Repair UNIT: 10THS
"Find the missing piece of the shipment."
\( \frac{3}{10} + \)
?
\( = \frac{9}{10} \)
Draw or use bars to solve
Custom Fabrication Area
Task 05: The Conveyor Belt Challenge
The conveyor belt is carrying \( \frac{7}{12} \) of a crate of bolts. If the machine adds another \( \frac{4}{12} \) of a crate, how much of the crate is full?Step 1: Draw your own model below.Step 2: Write the equation to match.
______ + ______ = ______
SERIAL NO: FF-2026-4NF PROPERTY OF FRACTION FACTORY GOV. DIVISION REV: 1.0
Quality Control Worksheet Quality Control Report
FINAL SHIFT INSPECTION: 4TH GRADE FRACTION DIVISION
REPORT ID: FF-QC-992
STATUS: PENDING
Inspector Name: __________________________________________
Shift Date: __________________________________________
Assembly Inspection (Addition)
Check for correct numerators
1. \( \frac{2}{5} + \frac{2}{5} = \_\_\_ \)
2. \( \frac{4}{12} + \frac{7}{12} = \_\_\_ \)
Sketch 12ths bar model here
3. \( \frac{1}{4} + \frac{3}{4} = \_\_\_ \)
4. \( \frac{3}{8} + \frac{4}{8} = \_\_\_ \)
Sketch 8ths bar model here
Waste Management (Subtraction)
Keep denominators the same size
5. \( \frac{5}{6} - \frac{2}{6} = \_\_\_ \)
6. \( \frac{9}{10} - \frac{4}{10} = \_\_\_ \)
Sketch 10ths bar model here
7. \( \frac{7}{8} - \frac{3}{8} = \_\_\_ \)
8. \( \frac{3}{3} - \frac{1}{3} = \_\_\_ \)
Sketch 3rds bar model here
The Repair Shop: Word Problems
Scenario A: The packaging department has a roll of tape that is \( \frac{10}{10} \) full. They use \( \frac{3}{10} \) for small boxes and \( \frac{4}{10} \) for large boxes. How much of the roll is left?
Work Area: Draw a model and write the equation.
Scenario B: Engineer Leo mixed \( \frac{2}{6} \) liters of blue paint with \( \frac{3}{6} \) liters of yellow paint to make factory green. How many liters of green paint does he have now?
Work Area: Draw a model and write the equation.
Inspector Certification
Explain why the denominator (the bottom number) doesn't change when we add or subtract these fractions. Why do we keep it the same?
Fraction Factory Global Logistics
AUTHORIZED QC SEAL #772-B
Delivery Dash Game Board Delivery Dash
LOGISTICS & DISTRIBUTION CHALLENGE
2-4 Players
START
Loading Dock
PICKUP
\( \frac{1}{4} + \frac{2}{4} \)
PICKUP
\( \frac{5}{8} - \frac{2}{8} \)
CONVEYOR BELT
Move ahead
PICKUP
\( \frac{3}{10} + \frac{6}{10} \)
PICKUP
\( \frac{7}{12} - \frac{4}{12} \)
TRAFFIC JAM
Lose a turn!
PICKUP
\( \frac{2}{6} + \frac{3}{6} \)
PICKUP
\( \frac{4}{5} - \frac{1}{5} \)
PICKUP
\( \frac{5}{10} + \frac{4}{10} \)
PICKUP
\( \frac{8}{12} - \frac{5}{12} \)
PICKUP
\( \frac{3}{8} + \frac{3}{8} \)
FORKLIFT BOOST
Move ahead
PICKUP
\( \frac{6}{6} - \frac{2}{6} \)
PICKUP
\( \frac{1}{10} + \frac{8}{10} \)
PICKUP
\( \frac{4}{4} - \frac{3}{4} \)
PICKUP
\( \frac{5}{12} + \frac{2}{12} \)
PICKUP
\( \frac{7}{8} - \frac{6}{8} \)
QUALITY CHECK
Move back
PICKUP
\( \frac{2}{5} + \frac{3}{5} \)
PICKUP
\( \frac{11}{12} - \frac{5}{12} \)
PICKUP
\( \frac{2}{8} + \frac{4}{8} \)
PICKUP
\( \frac{10}{10} - \frac{1}{10} \)
PICKUP
\( \frac{1}{6} + \frac{4}{6} \)
FINISH
Shipping Dock
How to Play
1 Place your truck tokens on the Loading Dock.
2 Roll a die and move that many spaces.
3 If you land on a PICKUP space, solve the problem. Another player checks your answer!
Factory Hazards
4 If your answer is wrong, move back to where you started that turn.
5 First truck to reach the Shipping Dock wins!
Remember: Denominators never change in the factory!
