Thousands Territory Worksheet Case File: Approved
Digit Detectives Agency
Mission 1: Thousands Territory
DETECTIVE NAME:
DATE:
Mission Briefing
Welcome Detective. Secure the Thousands Territory . Analyze place values, map numbers, and decode digit relations.
1 Clue File: Map the Target Number
Write the number 485,203 into the place value chart, then answer the questions.
Thousands Period Ones Period Hundred Thousands Ten Thousands --- ---
A. Digit in the ten thousands place:
B. What is the value of the digit 8?
C. Which digit has a value of 200?
D. Why is there a 0 in the tens place?
2 Clue File: The Base-Ten Code (10x Relationship)
In base-ten math, each place is exactly 10 times the value of the place to its right. Fill in the blanks.
A. A hundred-thousands place is times the value of the ten-thousands place.
B. The 4 in 40,000 is 10 times the value of the 4 in
C. It takes tens to equal 100, and ten thousands to make 100,000.
3 Clue File: Target Digit Analysis
Identify the place value and physical value of the underlined digit.
A. 372,194
Pl: Val:
B. 903,456
Pl: Val:
C. 154,820
Pl: Val:
D. 638,047
Pl: Val:
Case File: The Bank Safe Code Mystery
Detective Ava found a clue about a bank vault: "The digit in the ten thousands place is double the ones digit. The thousands digit is 3 more than the hundreds digit." If the combination is a 6-digit number starting with 5_ _,_5 2 , decode the missing digits!
Final Decoded Safe Combination: 5 _ _ , _ 5 2
DIGIT DETECTIVES ACADEMY • PLACE VALUE SERIES PAGE 1 OF 1
Digit Detectives Slides Digit Detectives Agency
Case File: #PV-401
Mission: Active
Mission to Millions
Welcome to your week-long math training. Your mission is to analyze multi-digit numbers, crack forms, and master comparisons to solve numerical mysteries.
UNIT 1: PLACE VALUE STUDY SLIDE 1 OF 5
M
The Base-Ten 10x Rule
Mission Day 1
The 10x Multiplier
In our base-ten number system, every place value column is exactly 10 times larger than the column directly to its right.
10 Tens = 1 Hundred
Comparing Digit Values in 44,000
40,000
Ten Thousands
←
4,000
Thousands
The left 4 represents 10 times the value of the right 4!
UNIT 1: THOUSANDS TERRITORY SLIDE 2 OF 5
T
Entering the Millions
Mission Day 2
9-Digit Place Value Period Chart
Each period (Millions, Thousands, Ones) contains three place columns: Ones, Tens, Hundreds.
Millions Period Thousands Period Ones Period Hundred Millions Ten Millions Millions --- --- --- 3 8 5
We read this as: 385 million, 206 thousand, 419
UNIT 1: MILLIONS FRONTIER SLIDE 3 OF 5
W
Three Ways to Represent Numbers
Mission Day 3
Standard Form
Written using standard numbers or digits separated by commas every three columns.
30,508,400
Expanded Form
Written as a sum showing the physical value of each individual digit.
30,000,000 +
Word Form
Written entirely with text words, mirroring exactly how the standard number is spoken aloud.
"thirty million, five hundred eight thousand, four hundred"
UNIT 1: FORM CODEBREAKERS SLIDE 4 OF 5
Th
Comparing Magnitudes
Mission Day 4
The Stacking Method
To compare large numbers, align them by commas vertically. Begin comparing starting from the highest place value on the far left.
If digits are identical, shift one column rightwards to determine which digit is greater.
Vertical Stack Demonstration
Suspect A: 4 5 , 6 5 0 , 0 0 0
Suspect B: 4 5 , 6 0 5 , 0 0 0
Comparing the Ten Thousands place:
UNIT 1: MAGNITUDE MATCHUP SLIDE 5 OF 5
Millions Frontier Worksheet Case File: Approved
Digit Detectives Agency
Mission 2: Millions Frontier
DETECTIVE NAME:
DATE:
Mission Briefing
The numbers are growing larger, Detective. Today, we cross the boundary into the Millions Frontier . Your team must investigate the millions period up to hundred millions, and correctly catalog the digits of high-value suspects.
1 Clue File: Cross the Frontier
Write the number 385,206,419 in the chart, then answer the questions below.
Millions Period Thousands Period Ones Period Hundred Mils Ten Mils Millions --- --- ---
A. Which digit is in the ten millions place?
B. What is the value of the digit 3 ?
C. Which digit has a value of 5,000,000 ?
D. Name the three periods on the chart from right to left:
2 Clue File: Value Audits
Audit the statements. Circle TRUE or FALSE and show why.
A. In the number 74,250,900 , the digit 7 is in the ten millions place and represents 70,000,000.
TRUE FALSE
B. The digit 5 in the number 500,100,200 has a value that is exactly 10 times the digit 5 in 5,000,000 .
TRUE FALSE
3 Clue File: Suspect Identification
Identify the place and value of the digit 6 in each suspect number.
A. 164,520,399
Pl: Val:
B. 682,041,500
Pl: Val:
C. 73,460,205
Pl: Val:
D. 956,218,040
Pl: Val:
Case File: The Missing Fortune Clue
An bank account of a historic eccentric billionaire has been locked. The value is a 9-digit number with the following features: The millions period has 2 hundred millions, 7 ten millions, and 5 millions. The thousands period is all zeros. The ones period contains 8 hundreds, 4 tens, and 1 one.
Unlock the Fortune (Write in Standard Form): _ _ _ , _ _ _ , _ _ _
DIGIT DETECTIVES ACADEMY • PLACE VALUE SERIES PAGE 1 OF 1
Form Codebreakers Worksheet Case File: Approved
Digit Detectives Agency
Mission 3: Form Codebreakers
DETECTIVE NAME:
DATE:
Mission Briefing
Attention, Detective. Intel reports show that high-value targets are hiding their numbers in different formats. Your task today is to be a Form Codebreaker . Translate between Standard, Word, and Expanded forms to crack their numerical ciphers.
1 Clue File: Complete the Cipher Table
Each row represents the same number in different forms. Fill in the missing formats completely.
Standard Form Expanded Form Word Form 306,450
|
|
| 8,000,000 + 500,000 + 20,000 + 400 + 7 |
|
|
|
| "forty-two million, seven hundred nine thousand, fifteen" |
2 Clue File: Identify the Trainee Mistake
A trainee agent filled out a report for the suspect number 50,608,240 as shown below. Find and explain his error.
Trainee's Report:
"Expanded form: 5,000,000 + 600,000 + 8,000 + 200 + 40"
Explain the error:
3 Clue File: Expanded Form Decoder
Look carefully at the values below and combine them into Standard Form. Be careful of missing place values!
A. 600,000 + 4,000 + 80 + 3
Standard:
B. 70,000,000 + 200,000 + 500
Standard:
Case File: The Diamond Shipment Cipher
A stolen diamond shipment was tracked. The case folder lists its insurance value as "ninety-four million, five hundred six thousand, twelve dollars." Translate this word form cipher.
Standard Form:
Value of digit 5:
DIGIT DETECTIVES ACADEMY • PLACE VALUE SERIES PAGE 1 OF 1
Magnitude Matchup Worksheet Case File: Approved
Digit Detectives Agency
Mission 4: Magnitude Matchup
DETECTIVE NAME:
DATE:
Mission Briefing
The stakes are high, Detective. Today you must resolve Magnitude Matchups . We must compare multi-digit whole numbers and sort suspect lists. Use the comparison symbols <, >, or = and construct sorted lineups.
1 Clue File: Compare the Suspect Files
Compare the pairs of values. Draw < , > , or = in the circle to crack the relationship.
485,203 485,023
7,419,500 74,195,000
62,090,154 62,090,154
908,450,210 980,450,210
500,000 + 40,000 540,000
36 million 360,000,000
2 Clue File: Suspect Lineups (Ordering)
Order the whole numbers carefully as requested in each lineup.
A. Order from LEAST to GREATEST:
24,509,100 2,450,900 24,095,100 24,590,000
Lineup:
<
<
<
B. Order from GREATEST to LEAST:
805,400,000 850,000,000 85,400,000 805,040,000
Lineup:
>
>
>
Case File: Target Range Boundaries
An alarm has been triggered in Sector 9. The code to disarm it is a number that sits between: 45,600,000 < Disarm Code < 45,650,000 . We have three suspect codes. Analyze and circle the correct code below. Show your evaluation steps.
Suspect #1
Suspect #2
Suspect #3
Explain your disarm reasoning:
DIGIT DETECTIVES ACADEMY • PLACE VALUE SERIES PAGE 1 OF 1
Mission Millions Quiz FINAL ASSESSMENT
Digit Detectives Agency
Mission 5: Assessment Agency
DETECTIVE NAME:
DATE:
Final Case Assessment
Detective, your probationary period ends today. To receive your official Gold Shield, complete this final place value audit under strict agency exam regulations.
1 Part 1: Digit Audits (Value & Position)
Answer the following place value position questions for the suspect number: 542,809,173
A. Which digit sits in the millions place?
B. What is the value of the digit 4?
C. Which digit has a value of 800,000?
D. Which place value is ten times smaller than millions?
2 Part 2: Form Conversions
A. Write in standard form:
"nine million, forty-two thousand, seven hundred one"
Answer:
B. Write in expanded form: 30,508,400
3 Part 3: Magnitude Comparison & Ordering
604,290 640,290
85,100,000 8,510,000
Order from LEAST to GREATEST:
7,480,200 74,080,200 7,084,200 7,408,200
Case File: The Ultimate Bank Vault Code
You are tracing the final master villain. His passcode has 9 digits. The millions period contains 4 hundred millions , and the remaining places in that period are half the size of the hundred millions digit. The thousands period contains 1 ten thousand , and all other places are zeros. The ones period contains a 9 in the ones place , and remaining places are zeros.
Show place value breakdown:
Ultimate standard form code:
DIGIT DETECTIVES AGENCY • GRADE 4 UNIT 1 ASSESSMENT PAGE 1 OF 1
Mission Millions Teacher Guide Digit Detectives Agency
Teacher Pacing & Lesson Plans (Week 1)
Sadlier-Oxford Alignment
Curriculum Overview: Place Value & Millions
This 4th-grade math pacing guide aligns directly with the Sadlier-Oxford Progress in Mathematics curriculum. Utilizing the "Digit Detectives" gamified detective agency theme, students engage actively in foundational place value concepts. Highly conceptual and aligned to standards, this unit builds from 6-digit review to 9-digit millions structures, standard/expanded forms, and comparison metrics.
Daily Instructional Breakdown
MONDAY
Thousands Territory (Review & 10x Relationship)
Objective: Review place value to hundred thousands. Explain the base-ten 10x multiplier rule.Pacing: Warm-Up (10 min) • Concept Build: Ten times larger modeling (20 min) • Worksheets (15 min) • Debrief (15 min).Misconceptions: Students struggle to conceptualize that the 4 in 40,000 is 10 times larger than the 4 in 4,000 (often thinking it is 10,000 times larger). Model with base-ten blocks.
TUESDAY
Millions Frontier (Exploring Millions Period)
Objective: Introduce the Millions Period (ones, tens, and hundreds of millions). Identify places in 9-digit values.Pacing: Daily Warm-Up (5 min) • House/Period Chart Guided Drawing (25 min) • Independent Practice (20 min) • Share (10 min).Teaching Tip: Emphasize the role of commas as period separators. Practice saying the word "million" or "thousand" at each comma.
WEDNESDAY
Form Codebreakers (Standard, Word, & Expanded Forms)
Objective: Read and write numbers to millions in standard, word, and expanded forms.Pacing: Form Matching Warm-Up (10 min) • Translation Practice (20 min) • Codebreaker Worksheet (20 min) • Closing (10 min).Challenge: Remind students to insert "0" as placeholders in standard form when an expanded value is missing a place value (e.g. 70,000,000 + 200,000 has five zeroes).
THURSDAY
Magnitude Matchup (Comparing & Ordering Millions)
Objective: Use place value logic and inequality symbols (<, >, =) to order 9-digit numbers.Pacing: Digit Comparison Warm-Up (10 min) • Direct Instruction (15 min) • Interactive Practice (20 min) • Debrief (15 min).Teaching Strategy: Instruct students to stack numbers vertically, aligning commas, then compare place-by-place from left to right.
