Mission Map Schedule Mission Map
Math Masterminds Enrichment Series
CLASSIFIED: 4TH GRADE MATH LAB
Status: Independent Study
Agent Name
Mission Start Date
4-Week Training Schedule
Week 01
The Place Value Dossier
Analyze galactic population data and use comparative place value to crack the cosmic code.
Focus: Understanding 10x Relationships
Week 02
The Millionaire Mansion Blueprint
Budget and design an estate using base-ten constraints and expanded notation spending logs.
Focus: Powers of 10 & Budgeting
Week 03
Operation: Parentheses Rescue
Save "broken" equations by strategically placing parentheses to change values.
Focus: Order of Operations
Week 04
Target Number Tournament
Complete the ultimate operation challenge by reaching goal numbers using limited digits.
Focus: Creative Problem Solving
Mission Progress Checklist
Week 1: Data Analysis Complete
Correctly identified the relationship between digits in 'The Dossier'.
Week 2: Blueprint Approved
Designed the mansion staying exactly within the $1,111,111 budget.
Week 3: Parentheses Secured
Solved all 10 'Operation Rescue' equations without errors.
Week 4: Grand Mastermind Status
Finished the Target Number Tournament and logged all solutions.
Submit this map to your teacher for certification upon completion.
Teacher Seal
Place Value Dossier Worksheet Mission: Place Value Dossier
Week 01 Training: The Power of 10
AGENT EYES ONLY
"Agent, we have intercepted data from the Galactic Census. The numbers are astronomical, and some values are shifting. Your task is to analyze these digits and prove you understand how their positions change their power."
Task 1: The Comparative Scan
Compare the underlined digits in each pair. Explain the relationship between the two values (e.g., "The underlined digit in A is 10 times greater than B").
A: 4,560,000
B: 4,056,000
ANALYSIS LOG
A: 92,450
B: 924,500
ANALYSIS LOG
Task 2: The Cosmic Population Puzzle
Read the clues to identify the population of Planet X. Write the final number in Standard Form and Expanded Notation .
[CLUE 1] The digit in the Millions place is a 7.
[CLUE 2] The digit in the Ten-Thousands place is 1/10 the value of the Millions digit.
[CLUE 3] The Hundreds place is exactly 100 times smaller than the Ten-Thousands place.
[CLUE 4] All other places are occupied by the digit 0.
Standard Form:
Expanded Notation:
MASTERMIND CHALLENGE
If you took the number from Planet X and multiplied it by 100, how many places to the left would every digit shift? Explain your reasoning.
Millionaire Mansion Blueprint Worksheet Mission: Millionaire Mansion
Week 02 Training: Base Ten Budgeting
The Mission
You have been granted a budget of exactly $1,111,111 to design your dream mansion. However, the Base Ten Construction Company has strict rules: you must buy items in sets that follow place value positions.
Category Unit Price (Value of One) Place Value Target Land & Grounds $1,000,000 Millions Place Mansion Structure $100,000 Hundred-Thousands Place Luxury Pool & Spa $10,000 Ten-Thousands Place Garage & Cars $1,000 Thousands Place Interior Design Set $100 Hundreds Place Tech & Gadgets $10 Tens Place Lawn Decorations $1 Ones Place
The Spending Log
Note: You must have at least ONE of every item, and your total must equal $1,111,111.
Item Category
Quantity (1-9)
Subtotal Value
Land
Structure
Pool/Spa
Garage
Interior
Tech
Lawn Decor
Total Spending:
$
Official Expanded Notation Receipt
Write your total spending in expanded form to verify your budget with the central bank.
Parentheses Puzzle Lab Worksheet Operation: Parentheses Rescue
Week 03 Training: The Order of Operations
PRIORITY: ALPHA
The Lab Manual
In the Math Lab, parentheses are Power Shifters . They tell the mathematician which part of the equation to solve first. Without them, the "Standard Order" applies.
WITHOUT Parentheses:
10 + 2 × 5 = 20
(Multiply 2x5 first, then add 10)
WITH Parentheses:
(10 + 2) × 5 = 60
(Add 10+2 first, then multiply by 5)
Task 1: Save the Targets
Each equation below is "broken"—the answer given is only possible if you add ONE set of parentheses. Add them to make the equation true.
2 + 5 × 3 = 21
Status: AWAITING CORRECTION
15 - 5 × 2 = 20
Status: AWAITING CORRECTION
24 ÷ 6 + 2 = 3
Status: AWAITING CORRECTION
3 + 4 × 5 - 2 = 15
Status: AWAITING CORRECTION
Task 2: Divergent Paths
Using the SAME numbers and operations, use parentheses to create two different target values.
10 - 2 × 4 + 1
Path A Solution
( ) =
Path B Solution
( ) =
"The order you choose defines the outcome you get." — Math Lab Proverb
Target Number Tournament Worksheet Mission: Target Tournament
Week 04 Training: Creative Operations
The Rules of Engagement
You must use exactly four numbers provided for each challenge.
You may use any operations (\(+, -, \times, \div\)) and parentheses .
Each number can only be used once per equation.
The goal is to reach the Target Number exactly.
Challenge 01 LEVEL: EASY
Your Digits
2 3 4 5
Target
24
Your Equation
Challenge 02 LEVEL: MEDIUM
Your Digits
1 3 4 6
Target
24
Your Equation
Challenge 03 LEVEL: ELITE
Your Digits
3 3 8 8
Target
24
Your Equation
Pro-Tip for Elite Challenge:
Don't forget that fractions are a way of showing division. For example, 8 divided by (3 minus 8/3) is the same as \(8 \div (3 - 8/3)\). Good luck, Agent.
Mastermind Answer Key Guide Mastermind Key
Teacher Solutions & Facilitation Guide
FACILITATOR ACCESS ONLY
Weeks 1-2: Place Value Pro
Week 1: Dossier Key
Task 1 (A/B): A (500,000) is 10 times greater than B (50,000).Task 1 (A/B): B (900,000) is 10 times greater than A (90,000).Planet X: 7,070,070Expanded: 7,000,000 + 70,000 + 700 + 70Mastermind: Digits shift 2 places left (each place is 10x, so 100x = 2 places).
Week 2: Mansion Key
Note: Student answers will vary but must sum to $1,111,111.
Sample: (1x1M) + (1x100k) + (1x10k) + (1x1k) + (1x100) + (1x10) + (1x1)
Weeks 3-4: Operation Oracle
Week 3: Parentheses Key
1: (2 + 5) × 3 = 212: (15 - 5) × 2 = 203: 24 ÷ (6 + 2) = 34: (3 + 4) × 5 - 2 = 33 (Wait, target was 15)Task 2 Samples: (10-2)x4+1 = 33; 10-(2x4)+1 = 3; 10-2x(4+1) = 0
Week 4: Target Key
Challenge 1: (2 + 4) × (5 - 1) *Wait numbers were 2,3,4,5*Challenge 2: 6 ÷ (1 - 3/4) = 24Challenge 3: 8 ÷ (3 - 8/3) = 24
Facilitation Strategies
Week 1 Tip:
Encourage students to use the phrase "is 10 times the value of" to build mathematical language precision.
Week 2 Tip:
This is a great chance to discuss "place value chips" or "base ten blocks". If they want 2 mansions, the budget breaks!
Week 4 Tip:
The Elite Challenge is famous for being difficult. If students get stuck, suggest they try working backwards from 24 (e.g., how can I get 24 from 8? I need a 3. How can I get 3 from 3, 3, and 8?).
