Three Reads Reference Sheet The Three Reads Strategy
A Math Companion for Minli's Journey
1
First Read: The Context
"What is this story about?"
Don't worry about the numbers yet! Just like Minli listens to her Ba's stories, visualize the setting and characters. What is happening in the problem?
2
Second Read: The Quantities
"What can be counted or measured?"
Focus on the numbers and units. Is it 0.45 miles ? 1.2 pounds ? Identify the known values and what they represent in the journey.
3
Third Read: The Plan
"What math questions can we ask?"
Look for the question. Choose your tool: A Tape Diagram for parts and comparison, or a Number Line for movement and distance.
Tape Diagram
Part
Part
Whole
Number Line
0 0.5 1.0
Red Thread Slides (5th Bridge) 5th Grade Bridge
The Red Thread Path
Week 1: Tenths and Hundredths
4-Lesson Weekly Intervention
Lesson 1: The Context of Math
Three Reads & Adding Tenths
The Strategy
Read 1: The Story. Read 2: The Numbers. Read 3: The Plan.
"The Talking Fish swims 0.4 miles to a village, then another 0.3 miles . How far is the total?"
+ 0.3
0.4 + 0.3 = 0.7
Notice: We line up the tenths!
Lesson 2: Dragon Scale Weights
Modeling Hundredths with Tape Diagrams
"One jade scale weighs 0.36 grams . Another weighs 0.47 grams . What is their combined weight?"
0.36
0.47
? (TOTAL)
Lesson 3: The Mixing Path
0.4 + 0.25 = ?
"Minli has 0.4 pounds of rice. The Dragon brings 0.25 pounds more. How much do they have together?"
Bridge Strategy
Think: 0.40 + 0.25
Model & Solve
Show Your Work Area
Lesson 4: Review Workspace
Complete Your Quest
Draw Your Model
Vertical Algorithm
Red Thread Workbook The Red Thread Path: Workbook
Week 1: Tenths & Hundredths
Name: ____________________________
Date: _____________________________
1
Day 1: The Three Reads
"Minli lives in the Village of Fruitless Mountain. To help her family, she buys a goldfish for 0.25 silver coins and a bowl for 0.15 silver coins . How much silver did she spend in total?"
Read 1: What is the story about?
Read 2: What are the quantities and units?
Read 3: What is the question? Show your plan.
2
Day 2: Jumping with the Fish
"The Talking Fish swims 0.6 miles down the river, then rests. Then, it swims another 0.2 miles . Mark the total distance on the number line."
00.10.20.30.40.50.60.70.80.91.0
Show your equation and solution jumps:
3
Day 3: The Dragon's Pearl
"One string piece is 0.44 meters . Another is 0.39 meters . What is the total length? Draw a tape diagram to model."
Model Work Area (Draw the Bars):
Equation:
Total Length:
Moon Journey Teacher Guide FINAL Teacher Intervention Guide
5th Grade Bridge: 12-Day Journey
12-Day Bridge Pacing (4 Lessons / Week)
Day Lesson Topic Mental Strategy Focus Story Integration 1 Three Reads & Adding Tenths Matching Units (0.4 → 0.40) Minli's Goldfish Spend 2 Adding Hundredths Partial Sums (0.3+0.4) Dragon Scale Weights 3 Mixed Units Precision Renaming Units Rice Sack Supplies 4 Review & Exit Ticket (Week 1) Strategic Choice The Buffalo Boy 5 Comparison Subtraction Double Tape Modeling Baggage Comparisons 6 Counting Up the Path Mental Gap (0.68 to 1.5) Path to Moonlight City 7 Thousandths & Unit Match Renaming to Thousandths Golden King's Seeds 8 Review & Exit Ticket (Week 2) Mental Strategy Mastery The King's Treasure 9 10:1 Shift Mastery Bundling units (10:1) Old Man's Threads 10 Start Unknown Logic Backward Mental Sums Minli's Seed Supply 11 Multi-Step Journey Unit Precision Check The Moon Bridge 12 Final Mastery Quest 5th Grade Mastery Changing Fate
Matching Units Over Placeholders
Instead of 'adding zeros', teach students to 'speak the same language'. Rename 0.4 to 0.400 thousandths so it matches the other term's units exactly.
Mental Path Mastery
For subtraction, emphasize Counting Up . Finding the gap between two numbers is often more conceptually clear for bridge students than multi-digit regrouping.
Red Thread Exit Tickets Red Thread Exit Ticket
Focus: Adding Tenths & Hundredths
Name: ____________________________
Date: _____________________________
1
Minli's Ba tells a story for 0.3 hours and then for another 0.5 hours . How long did he tell stories in total?
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0
Equation & Answer: ________________________________________________
2
A small jade scale weighs 0.36 grams . A larger scale weighs 0.47 grams . What is their combined weight? Draw a Tape Diagram.
Equation:
Total Weight:
How confident do you feel today?
Not yet
Almost
I got it!
Moon Journey Week 1 Workbook FINAL The Red Thread Path: Workbook
Week 1: Matching Unit Precision
Name: ____________________________
Date: _____________________________
1
Lesson 1: Speaking the Same Language
"Minli spends 0.2 coins and 0.35 coins . To add them, we need both numbers to speak hundredths."
Rename 0.2 to Hundredths
0.2 → 0.____
Mental Total
____ hundredths + 35 hundredths
2
Lesson 2: Partial Sums Breakdown
"One jade scale is 0.36g . Another is 0.47g . Break them apart to add."
Add Tenths:
Add Hundredths:
Mental Total:
Week 1 Quest Mastery
Lesson 4 Review: Buffalo Boy Challenge
"The Buffalo Boy needs total water. Sack A has 0.38L . Sack B has 0.4L . Match the units and use your favorite mental strategy."
Match Units & Model
Mental Calculation & Explanation
Moon Journey Week 1 Slides FINAL 5th Bridge
The Red Thread Path
Week 1: Lessons 1 - 4
Mental Math & Unit Matching
Lesson 1: Matching Units
Speaking the Same Value Language
"Minli spends 0.3 coins and then 0.25 coins ."
Mental Bridge Strategy:
0.3 is 30 hundredths.
0.25 is 25 hundredths.
30 + 25 = 55 hundredths (0.55)
0.3 Tenths
0.30 Hundredths
"Now we can add them easily!"
Lesson 2: Partial Sums
"Jade scales weigh 0.36g and 0.47g . Add by place value!"
Thinking Steps:
0.3 + 0.4 = 0.7
0.06 + 0.07 = 0.13
Total: 0.83
Your Partial Sums Space
W1 Exit Ticket
"Buffalo Boy has 0.38L . Minli adds 0.4L more. How much total? Rename and add!"
Rename Both
Match hundredths!
Mental Total
Show your sum...
Golden Seed Slides Golden Seed Comparisons
Week 2: Comparing and Subtracting
Intervention Guide • Days 6-10
Comparison Tape Diagrams
"The King's bowl has 1.4 pounds of rice. Minli's family has 0.85 pounds . How much more rice does the King have?"
1.4 (King's Bowl)
0.85
? (Diff)
1.40 - 0.85 = 0.55
Day 7: Number Line Logic
Subtraction as the Distance Between Points
"The City is 0.95 miles away. Minli has walked 0.38 miles . How much farther must she go?"
Method: Jump from Small to Large
Start at 0.38. How far to get to 0.95?
0.38
0.95
? (Difference)
00.20.40.60.81.0
Day 9: The King's Garden
Thousandths and Placeholder Zeros
"A golden seed is 0.72 grams . A regular pit is 0.456 grams . Which is heavier, and by how much?"
Line Up & Fill In
 0.720
- 0.456
0.264
Pro Tip
Always check the thousandths place. Add a zero if you need to borrow!
Golden Seed Workbook Golden Seed Comparisons: Workbook
Week 2: Comparison & Subtraction
Name: ____________________________
Date: _____________________________
6
Day 6: Who has more?
"Minli carried 0.42 kg of baggage. The Dragon carried 1.15 kg . How much more did the Dragon carry? Draw a comparison tape diagram."
Model Work Area (Draw Two Bars to Compare):
Show your subtraction equation and final answer:
7
Day 7: Farther to Travel
"The mountain peak is at 1.5 miles . Minli is at 0.68 miles . Use the number line to find the difference."
00.20.40.60.81.01.21.41.6
Explain how you used the number line:
8
Day 8: The Buffalo Boy's Gift
"The Buffalo Boy has two baskets of fruit. One weighs 1.45 kg and the other weighs 0.92 kg . How much heavier is the first basket?"
Step 1: Draw Tape Diagram
Step 2: Solve with Place Value
9
Day 9: The King's Garden
"A gold coin is 0.925 oz . A silver coin is 0.88 oz . What is the difference? (Hint: Use a placeholder zero to solve!)"
Calculation (Standard Algorithm)
Why did you need a placeholder zero?
Golden Seed Exit Ticket (5th Bridge) 5th Grade Bridge Quest
Golden Seed: Exit Ticket
Focus: Mental Strategies & Matching Units
Name: ____________________________
Date: _____________________________
1
The King has a golden seed weighing 0.75 oz . Minli finds a regular seed weighing 0.48 oz . Find the difference.
Draw a Comparison Tape Diagram Below:
Model Workspace
Gap/Difference: ________________________________________________
2
The King's robe thread is exactly 1.2 meters long. Minli's jacket thread is 0.945 meters .
Match the Units first, then find the gap mentally:
Matching Units
1.2 → 1.____
0.945 → 0.945
Speak the same value language!
Counting Up or Decomposing:
"How does writing numbers in the same units help you compare them?"
Moon Journey Week 2 Slides FINAL 5th Bridge
Golden Seed Comparisons
Week 2: Lessons 5 - 8
Mental Strategy & Unit Matching
Lesson 5: Finding the Gap
Modeling Difference with Tapes
"The King's baggage is 1.15 kg . Minli's is 0.42 kg ."
1.15
0.42
The Gap (?)
Mental Math: Start at 0.42 and jump up to 1.15!
Lesson 6: The Counting Up Path
Finding the Distance Mentally
"The peak is 1.5 miles away. Minli has walked 0.68 miles ."
Jump Strategy:
0.68 + 0.02 = 0.70
0.70 + 0.30 = 1.0
1.0 + 0.5 = 1.5
00.681.5
Lesson 7: Speaking Thousandths
Aligning Place Values for Precision
"A gold seed is 0.925 grams . A regular peach pit is 0.88 grams ."
Same Units Check
0.925 (925 thousandths)
0.880 (880 thousandths)
Mastery Tip:
"To find the gap, we must compare the same units . Rename hundredths to thousandths by aligning the place values. If you need more units to subtract, decompose from the place to the left!"
W2 Exit Ticket
"The King has 1.2 meters of silk. Minli has 0.945 meters . Rename both to thousandths and find the gap mentally!"
Rename & Match
1.200 vs 0.945
Mental Solution
Show your strategy...
Moon Journey Week 2 Workbook FINAL Golden Seed Comparisons: Workbook
Week 2: Gap Thinking & Matching Units
Name: ____________________________
Date: _____________________________
5
Lesson 5: Finding the Baggage Gap
"The King's baggage is 1.15 kg. Minli's is 0.42 kg. Find the difference."
Draw Two Bars Here (Show the Gap)
My Mental Strategy (e.g. Counting Up):
6
Lesson 6: Counting Up the Path
"Moonlight City is 1.5 miles away. Minli has walked 0.68 miles. Count up to find the difference."
00.20.40.60.81.01.21.41.6
Show your mental jumps:
Example: 0.68 + 0.02 = 0.70...
7
Lesson 7: Speaking in Thousandths
"A gold coin is 0.925 oz. A silver coin is 0.88 oz. Rename both to thousandths so you are comparing the same units."
Matching Units
0.925
0.880
Check for thousandths!
Mental Calculation
Find the gap between the units.
"Why do we write 0.88 as 0.880 when comparing it to 0.925?"
Week 2 Quest Mastery
Lesson 8 Review: The King's Treasure
"The King has 2.4 meters of silk. He uses 0.758 meters. How much is left? Match units and find the gap."
Match Units & Model
Find the Gap Mentally
Fate Unknown Slides (5th Bridge) 5th Grade Mastery
Fate Unknown Values
Week 3: Thousandths & Multi-Step Bridge
Direct Instruction & Task
Instruction: Shifting Places
The Power of Ten
"As we move to the left, each place value is exactly 10 times the value of the place to its right."
10x
The Bridge Rule
10 Thousandths 1 Hundredth
Ones . 10ths 100ths 1000ths 0 . 0 1 10
Student Task: The Moon Bridge
"The Moon Bridge is 5.000 miles . Minli walks 1.450 mi and Dragon carries her 2.375 mi . Solve for the final section."
Draw Multi-Step Tape Diagram
Relate to Algorithm
1.450 + 2.375 = ____
5.000 - ____ = ____
Exit Ticket
"The Old Man has 2.000 meters of thread. He gives 0.825 meters to Minli. How much does he have left? Use a placeholder zero strategy!"
Workspace
Fate Unknown Workbook Fate Unknown Values: Workbook
Week 3: Thousandths & Start Unknown
Name: ____________________________
Date: _____________________________
11
Day 11: Threads of Fate
"The Old Man ties a thread 0.125 meters long. He ties another 0.075 meters long. What is the combined length?"
Calculation (Line up the decimals!)
Model the Addition (Tape or Line)
12
Day 12: Minli's Start
"Minli has a bag of seeds. After planting 0.345 pounds , she has 0.500 pounds left. How many pounds did she start with?"
1. DRAW YOUR TAPE DIAGRAM (LABEL THE WHOLE AS '?'):
2. SOLVE THE EQUATION:
13
Day 13: The King's Page
"A page from the Book of Fortune is 0.400 meters wide. A normal page is 0.325 meters wide. What is the difference?"
Modeling the Comparison (Tape Diagram)
Calculation with Borrowing
14
Day 14: The Moon Bridge
"A bridge to the moon is 5.000 miles long. The first part is 1.450 miles . The second is 2.375 miles . How long is the final section?"
Step 1: Find total of the first two sections (Addition)
Step 2: Subtract from the 5.000 whole (Subtraction)
Fate Unknown Exit Tickets Fate Unknown: Exit Ticket
Focus: Thousandths & Start Unknown
Name: ____________________________
Date: _____________________________
1
The Old Man gave Minli 0.675 meters of thread. He had 1.425 meters left. How much did he have at the start?
Equation & Start: ________________________________________________
2
A 3.000 mile bridge is made of three parts. Parts 1 and 2 are 1.250 mi and 0.875 mi . How long is the final part?
Step 1: Total so far
Step 2: Remaining
"The journey is complete!"
Final Self-Check
Modeled
Aligned
Solved
Moon Journey Week 3 Slides FINAL 5th Mastery
Fate Unknown Values
Week 3: Lessons 9 - 12
Bridging to 5.NBT.B.7
Lesson 9: Shifting Units
Mastering Place Value Relationships
"Ten threads of fate braid together to make one thicker thread. Our numbers shift by tens."
The Mastering Rule
10 thousandths
1 hundredth
1s . 10ths 100ths 1000ths 0 . 0 1 10
Bundle ten units to move to the larger place on the left!
Lesson 10 Task: Match the Thousandths
"Minli planted 0.345 lbs of seeds. She has 0.5 lbs left. What is the starting total?"
Match the Units First
0.5 is 0.500
"Both numbers now speak thousandths."
Mental Total
0.300 + 0.500 = 0.800
0.040 + 0 = 0.040
0.005 + 0 = 0.005
Total: 0.845
Lesson 11: The Moon Bridge
"The bridge is 5.0 miles . Part A is 1.45 mi . Part B is 2.375 mi . Solve for Part C."
Step 1: Match Everything
5.0 → 5.000
1.45 → 1.450
2.375 → 2.375
Mental Steps
Add Parts A & B, then find the gap to 5.000.
W3 Exit Ticket
"The Old Man has 2.0 meters of thread. He gives 0.825 meters . How much is left? Rename to matching units and find the gap!"
Rename All
Match thousandths
Mental Gap
Find the distance
Moon Journey Week 3 Workbook FINAL Fate Unknown Values: Workbook
Week 3: Multi-Step & Unit Matching
Name: ____________________________
Date: _____________________________
9
Lesson 9: Shifting units 10:1
"The Old Man ties a thread 0.125m and another 0.075m . Match units and use Partial Sums thinking."
Partial Sums Breakdown
Tenths: 0.1 + 0.0 = ____
Hundredths: 0.02 + 0.07 = ____
Thousandths: 0.005 + 0.005 = ____
Place Value Model
10
Lesson 10: Start Unknown (Mental)
"Minli had seeds. After planting 0.345 lbs , she has 0.5 lbs left. Rename both to thousandths first!"
1. Rename for Precision (Match Units)
0.345 0.500
2. Mental Calculation Space
11
Lesson 11: The Moon Bridge Gap
"The bridge is 5.0 miles . Part 1 is 1.450 mi . Part 2 is 2.375 mi . Rename to thousandths and find the last part."
Combine Units (1.450 + 2.375)
Find Gap to 5.000 (Counting Up)
Week 3 Quest Mastery
Lesson 12 Review: Final Journey
"One scroll weighs 0.825 oz . The second weighs 1.120 oz . Find the difference using unit matching and a mental strategy."
Model the Gap (Counting Up from 0.825)
Mental Calculation & Final Result
Quest Teacher Guide 4Day Teacher Quest Guide
5th Grade Bridge: 4-Lesson Strategic Intensive
The Three Reads Protocol
1. Context
Prompt: "Close your eyes. Listen to the journey. What is happening to Minli?"
2. Units
Prompt: "What can we count? Do our numbers speak the same unit language?"
3. The Plan
Prompt: "What is unknown? Which model will show the fortune?"
Day Topic Modeling Tool Teacher Pro-Tip 1 Unit Precision Part-Whole Tape "Rename 0.3 as 0.30 hundredths so units match 0.25." 2 Comparison Gap Double Tape "Use Counting Up from the smaller value to find the gap." 3 Braid Thousandths Place Value Grid "Model 10:1 shift. 10 thousandths = 1 hundredth." 4 Multi-Step Unknown Model Selection "Have students explain why they chose their model."
Tape Diagrams
Best for: Comparison and Part-Whole logic.
"Who has more? What was the start?"
Number Lines
Best for: Distance and Counting Up gaps.
"How far is the forest from the city?"
Daily Intensive Structure (15-20 Mins)
0-5 MINS
Direct Instruction with Quest Slides .
5-15 MINS
Guided Task in the Workbook .
15-20 MINS
Individual Quest Check .
Quest Mastery Slides 4Day Quest Bridge
The 4-Day Quest
Three Reads & Strategic Modeling
Intensive Intervention
The Strategy
Read 1
"The Context"
Listen for the setting and Minli's goal. Ignore the numbers!
Read 2
"The Units"
List the quantities. Do we need to match thousandths?
Read 3
"The Plan"
Find the unknown. Tape diagram or Number Line?
Day 1 & 2: Finding Gaps
Model: Comparison Tape Diagrams
Quest 1-2
"The King has 1.4 kg . Minli has 0.85 kg . How much more?"
Strategic Move:
Match thousandths (1.400 vs 0.850) and find the gap.
1.400 (WHOLE)
0.850
GAP (?)
Day 3 & 4: Start Unknown
Model: Part-Whole Tape Diagrams
Quest 3-4
"Minli gave 0.345 lbs away. She has 0.5 lbs left. What was the start?"
Strategic Move:
Combine the parts to find the unknown starting whole.
? (STARTING WHOLE)
0.345
0.500
0.345 + 0.500 = 0.845
The Final Challenge
"The Moon Bridge is 5.0 miles . Minli walks 1.45 mi . Dragon flies 2.375 mi . How far is left?"
Step 1
Combine Units
Step 2
Find the Gap
Ans
1.175 mi
Quest Mastery Workbook 4Day Quest Bridge Workbook
4-Lesson Intensive: Three Reads & Modeling Organizers
Name: ____________________________
Date: _____________________________
1
Lesson 1: Precision Path
"Minli spends 0.3 coins and then 0.25 coins . How much total?"
Read 1: Context
What happened in the story?
Read 2: Units
Match the thousandths!
Read 3: Unknown
What are we solving for?
Model (Tape or Number Line)
Mental Units Strategy
0.30 + 0.25 = ____
2
Lesson 2: Finding the Gap
"The King has 1.4 lbs . Minli has 0.85 lbs . Find the difference."
Draw Comparison Tape Diagram (Show the Gap)
Strategy: Counting Up from 0.850
3
Lesson 3: The Braid of Precision
"A gold seed is 0.925 oz . A silver coin is 0.88 oz . Write both as thousandths and combine."
Align Same Units
0.925
0.880
Partial Sums Logic
Final Quest Mastery
Lesson 4: The Bridge of Fate
"The Moon Bridge is 5.0 mi . Part 1 is 1.45 mi . Part 2 is 2.375 mi . Find Part 3."
Draw 3-Part Tape Diagram (Identify the Unknown)
Mental Strategy Steps (Match & Gap)
Quest Reference Sheet 4Day The Bridge Reference
Matching Units & Choosing Models
The Three Reads Routine
1. The Story
What is the setting? What is the main character's goal?
2. The Units
What can be measured? Match the thousandths units!
3. The Math
What is unknown? Which model fits the situation?
1
Speaking in Thousandths
Align place values to make sure you speak the same unit language.
Tenths
0.4
Hundredths
0.40
Thousandths
0.400
2
Counting Up (The Gap)
"How far from 0.68 to 1.5?"
+0.02 +0.30 +0.50
0.68 0.70 1.0 1.5
"Align the places. Choose the model. Find the fortune."
