Renaming Lab Teacher Guide Renaming Lab
Teacher Facilitation Guide
5th-7th Grade Intervention
Objective
Students will fluently execute the renaming (borrowing) algorithm for subtracting mixed numbers.
Duration
45 Minutes (Small Group)
Materials
Whiteboards, Markers, Chart Paper, Colored Pens.
1
Setup & Hook (5 min)
Write "RENAMING" in large letters on the group table or board.
Quick Review: Give students 3 sets of denominators (e.g., 2 & 6, 3 & 7, 4 & 5). They must quickly write the LCD on their whiteboards.Explain: "Today we aren't just subtracting; we're re-building fractions so they are strong enough to subtract."
2
Stop-and-Go: Mr. J (15 min)
Gamify it: 1 point for every correct prediction on the whiteboards.
Timestamp The Prompt / Question Target Answer 0:45 "What is our Least Common Denominator (LCD)?" 6 1:10 "Rename the second fraction ($1/2$). What's the new numerator?" 3 ($3/6$) 1:38 "Can we do $1 - 3$? Stop! What do we do now?" Borrow / Regroup 2:05 "The 9 becomes an 8. What fraction are we adding to $1/6$?" $6/6$ 2:20 "What is the new top fraction after adding $1/6 + 6/6$?" $7/6$ 3:00 "Look at the final answer ($3 \frac{4}{6}$). Simplify it!" $3 \frac{2}{3}$
3
The Giant Blueprint (15 min)
Problem to solve on Chart Paper:
\(12 \frac{1}{4} - 7 \frac{5}{6}\)
Teacher's Role
Assign 1 student as the "LCD Finder".
Assign 1 student as the "Renamer".
Assign 1 student as the "Borrower" (uses RED marker).
Assign 1 student as the "Final Subtractor".
The Borrowing Step
Ensure the "Borrower" explicitly shows:
4
Solo Check (5 min)
Distribute the "Solo Check" slips. Students work silently.
Check Problem: \(6 \frac{2}{5} - 1 \frac{3}{4}\)
Key Answer: LCD is 20. Renames to \(6 \frac{8}{20} - 1 \frac{15}{20}\). Borrows to get \(5 \frac{28}{20} - 1 \frac{15}{20}\).Final Result: \(4 \frac{13}{20}\)
5
Closing (1 min)
"You just mastered the hardest part of fraction math. High fives all around!"
Renaming Lab Slides Intervention Mission
Renaming
Lab
Subtracting Mixed Numbers
Today's Mission
1
Review multiplication and LCDs
2
Stop-and-Go Video Prediction
3
Collaborative "Giant" Problem
The Goal
Master the "Borrowing" step without adding 10 by mistake.
Stop-and-Go Practice
Predict on your whiteboard!
Embedded media
Instructions
When the video pauses, write your prediction immediately.
Scoring
1 point for every correct number or step!
The "Critical Moment"
Why can't we just subtract \(1 - 3\)?
Common Mistake
"Just do 3 minus 1 and write 2."
This is incorrect!
Renaming Lab Fix
We must borrow 1 whole from the neighbor to make our fraction bigger.
Collaborative Challenge
The Giant Blueprint Problem
\(12 \frac{1}{4} - 7 \frac{5}{6}\)
Step 1: LCD
Step 2: Rename
Step 3: BORROW
Final Mission
SOLO CHECK
Complete on your slip:
\(6 \frac{2}{5} - 1 \frac{3}{4}\)
Mission Accomplished
You renamed the fractions and took back the power to subtract!
🖐️
Renaming Strategy Blueprint Renaming Blueprint
Strategy Guide: Mixed Number Subtraction
1
The Setup
Set up your problem vertically (up and down). Line up your whole numbers and your fractions.
2
The LCD Search
Find the Least Common Denominator . Rename your fractions so they match.
3
The Renaming Step (Borrowing)
Take One
Borrow 1 whole from the whole number. It goes down by 1.
\(9 \rightarrow 8\)
Convert to Fraction
Change that 1 whole into a fraction using your denominator .
\(1 = \frac{6}{6}\)
Re-Build
Add that fraction to your top number. Now you're ready!
\(\frac{1}{6} + \frac{6}{6} = \frac{7}{6}\)
4
The Subtraction
Subtract your fractions first, then your whole numbers.
5
The Final Check
Check if your answer can be simplified . Are there common factors?
Blueprint in Action
\(9 \frac{1}{6}\) becomes \(8 \frac{7}{6}\)
\(5 \frac{3}{6}\) becomes \(5 \frac{3}{6}\)
\(3 \frac{4}{6} \rightarrow 3 \frac{2}{3}\)
Renaming Lab Intervention Guide • Step-by-Step Algorithm
Solo Check Exit Ticket Solo Check: Renaming Lab
REF-001
Student Name
Date
Solve the Problem:
\(6 \frac{2}{5} - 1 \frac{3}{4}\)
Your Work Area
Did you simplify?
Solo Check: Renaming Lab
REF-001
Student Name
Date
Solve the Problem:
\(6 \frac{2}{5} - 1 \frac{3}{4}\)
Your Work Area
Did you simplify?
