🐝 HUMBLE HIVE ACADEMY

MISSION BRIEFING

🔐 Hive HQ: The Final Spring Mission

Agent. We have a situation.

A system glitch has locked down every room in Hive Headquarters. Eight rooms. Eight locks. Eight sets of math challenges stand between us and a fully restored Hive.

Each solved question unlocks one clue letter. At the end of Room 1, you will use that clue word to crack the Decimal Door.

ROOM 1 OF 8

🔢 The Decimal Door

Every digit has a place. Every place has a purpose.

Prove you understand how digits shift and why position determines value. Five decimal challenges stand between you and the first open door.

Standards: NC.5.NBT.1 · NC.5.NBT.3

🐝 ROOM 1 — THE DECIMAL DOOR

Question 1 of 5

🔐 Secret Clue Word

Each solved question unlocks 1 letter

❓ Question 1

NC.5.NBT.1 DOK 3

A scientist is measuring the mass of three samples.

• Sample A: 4.05 grams
• Sample B: 0.405 grams
• Sample C: 40.5 grams

The scientist claims Sample C is exactly 10 times Sample A, and Sample A is exactly 10 times Sample B. Which statement best explains why the scientist is correct?

A) When you multiply a decimal by 10, you move the decimal point one place to the right, making each digit worth 10 times more.
B) When you multiply a decimal by 10, you add a zero to the end, which increases its value.
C) When you multiply by 10, the digits change value because the decimal stays and the digits shift right.
D) When you multiply by 10, the whole number part increases by 10 but decimal digits stay the same.

❌ Not quite — read the hint and try again.

💡 Hint 1:

Look at the three numbers — the same digits appear in all three samples. When a digit moves from the tenths place to the ones place, what happened to its value?

💡 Hint 2:

Think: 0.405 × 10 = 4.05 and 4.05 × 10 = 40.5. The digits 4, 0, and 5 do not change — but their positions do. Moving one place to the left makes a digit worth how many times more?

🔍 Let's look at this a different way, Agent.

The number 4.05 is 10 times the value of which number?

A) 40.5
B) 0.405
C) 0.045
D) 405

💡 Scaffold Hint 1:

When you divide by 10, each digit shifts one place to the right and becomes worth 10 times less.

💡 Scaffold Hint 2:

4.05 ÷ 10 = 0.405

❌ Not quite. Use the scaffold hints and try again.

🐝 ROOM 1 — THE DECIMAL DOOR

Question 2 of 5

🔐 Secret Clue Word

Each solved question unlocks 1 letter

❓ Question 2

NC.5.NBT.3 DOK 3

Four students ran a race. Their finishing times in minutes:

• Amara: 2.340
• Diego: 2.304
• Sofia: 2.043
• Liam: 2.430

The coach ranks them fastest to slowest. Which list shows times from least to greatest?

A) 2.430, 2.340, 2.304, 2.043
B) 2.304, 2.043, 2.340, 2.430
C) 2.043, 2.304, 2.340, 2.430
D) 2.340, 2.304, 2.043, 2.430

❌ Not quite — read the hint and try again.

💡 Hint 1:

All four times start with 2, so compare the digits after the decimal point. Start with the tenths place.

💡 Hint 2:

Compare one place at a time.

2.043 → tenths digit 0 2.304 → tenths digit 3 2.340 → tenths digit 3 2.430 → tenths digit 4

🔍 Let's look at this a different way, Agent.

Order these decimals from least to greatest: 1.250, 1.025, 1.205

A) 1.250, 1.205, 1.025
B) 1.205, 1.025, 1.250
C) 1.025, 1.205, 1.250
D) 1.025, 1.250, 1.205

💡 Scaffold Hint 1:

All three numbers start with 1. Compare the tenths digits first.

💡 Scaffold Hint 2:

1.025 < 1.205 < 1.250

❌ Not quite. Use the scaffold hints and try again.

🐝 ROOM 1 — THE DECIMAL DOOR

Question 3 of 5

🔐 Secret Clue Word

Each solved question unlocks 1 letter

❓ Question 3

NC.5.NBT.1 DOK 3

A teacher writes the following on the board:

• 10² = 100
• 10³ = 1,000

She then asks: "If I multiply 0.007 by 10³, what is the result, and how do you know?"

Marcus says the answer is 7. Priya says the answer is 0.7. Who is correct, and which statement best explains why?

A) Priya is correct. Multiplying by 10³ means multiplying by 10 three separate times, and 0.007 becomes 0.7.
B) Marcus is correct. Multiplying by 10³ means multiplying by 10 three separate times, and after three shifts 0.007 becomes 7.
C) Marcus is correct. Multiplying by 10³ means adding 3 zeros to the number, turning 0.007 into 7.000.
D) Priya is correct. Multiplying by 10³ increases the whole number part by 3, making 0.007 become 0.7.

❌ Not quite — read the hint and try again.

💡 Hint 1:

The exponent tells how many times to multiply by 10. So 10³ means three shifts.

💡 Hint 2:

Follow the digit 7 as it shifts.

0.007 × 10 = 0.07 0.07 × 10 = 0.7 0.7 × 10 = 7

🔍 Let's look at this a different way, Agent.

What is 0.04 × 10²?

A) 0.4
B) 40
C) 400
D) 4

💡 Scaffold Hint 1:

10² means multiply by 10 two times.

💡 Scaffold Hint 2:

0.04 × 10 = 0.4 0.4 × 10 = 4

❌ Not quite. Use the scaffold hints and try again.

🐝 ROOM 1 — THE DECIMAL DOOR

Question 4 of 5

🔐 Secret Clue Word

Each solved question unlocks 1 letter

❓ Question 4

NC.5.NBT.3 DOK 3

A student writes the number forty-two and sixty-eight thousandths as 42.68.

Her teacher marks it incorrect. Which statement best explains the student's error, and what is the correct way to write this number?

A) The student should have written 42,068 because "thousandths" refers to the thousands place in a whole number.
B) The student wrote the correct number. 42.68 and 42 and sixty-eight thousandths are the same value.
C) The student made an error in the whole number part. The correct number is 4,268.
D) The student wrote 42.68, which is 42 and 68 hundredths — not thousandths. The correct number is 42.068.

❌ Not quite — read the hint and try again.

💡 Hint 1:

The word “thousandths” tells you the last digit must be in the third place after the decimal.

💡 Hint 2:

Write the decimal places in order: tenths, hundredths, thousandths.

42 . _ _ _ 42.068

🔍 Let's look at this a different way, Agent.

Which number is written correctly for “five and three hundredths”?

A) 5.3
B) 5.03
C) 5.003
D) 53.0

💡 Scaffold Hint 1:

Hundredths means two digits after the decimal.

💡 Scaffold Hint 2:

5.03 = 5 and 3 hundredths

❌ Not quite. Use the scaffold hints and try again.

🐝 ROOM 1 — THE DECIMAL DOOR

Question 5 of 5

🔐 Secret Clue Word

Each solved question unlocks 1 letter

❓ Question 5

NC.5.NBT.1 NC.5.NBT.3 DOK 3

A store sells three sizes of olive oil bottles:

• Small: 0.250 liters
• Medium: 2.500 liters
• Large: 0.025 liters

A customer says: "The medium bottle holds exactly 100 times as much as the large bottle, and the small bottle is exactly 10 times the large bottle."

Is the customer correct? Which statement best supports the claim?

A) The customer is partially correct. The medium is 100 times the large, but the small is 100 times the large too.
B) The customer is correct only because all three numbers use the same digits.
C) The customer is incorrect. You cannot multiply decimals by powers of 10.
D) The customer is correct. 0.025 × 100 = 2.500 and 0.025 × 10 = 0.250.

❌ Not quite — read the hint and try again.

💡 Hint 1:

Check the two claims one at a time. First test the 100-times claim. Then test the 10-times claim.

💡 Hint 2:

Multiplying by 10 shifts digits one place left. Multiplying by 100 shifts digits two places left.

0.025 × 10 = 0.250 0.025 × 100 = 2.500

🔍 Let's look at this a different way, Agent.

A bottle holds 0.050 liters. Another bottle holds 0.500 liters. How many times greater is the larger bottle?

A) 10 times greater
B) 100 times greater
C) 1,000 times greater
D) They are equal

💡 Scaffold Hint 1:

Compare where the digits are sitting in each number.

💡 Scaffold Hint 2:

0.050 × 10 = 0.500

❌ Not quite. Use the scaffold hints and try again.

🐝 ROOM 1 — THE DECIMAL DOOR

Decimal Door Puzzle

🔐 Secret Clue Word

Use your letters to crack the door

📞 Keypad Cipher Lock

Use your clue word to decode the door code.

☎️ Phone Keypad Key

Enter the number for each letter in HIVES.

H

I

V

E

S

💡 Puzzle Hint 1:

The keypad symbols have been simplified. Focus only on the number groups and the letters they contain.

💡 Puzzle Hint 2:

The keypad tiles that matter for H, I, V, E, and S are now highlighted.

💡 Puzzle Hint 3:

The highlighted keypad tiles now match the colored answer boxes so you can keep the code in order.

⚠️ One more miss will trigger a teacher check-in safety stop.

Teacher View

This panel is for teacher interpretation only. It does not affect the student-facing clue word or puzzle code.

Independent learner note: a screenshot of this panel can be used for teacher review if needed.

🐝 HUMBLE HIVE ACADEMY

🛑 Pause Here, Agent.

The Hive system is asking for a teacher check-in before you continue.

This is just a quick safety net — not a failure. Once you've checked in, you can return and keep going.

🐝 The Hive is standing by.

🐝 HUMBLE HIVE ACADEMY

🔓 Room 1 Unlocked!

Mission complete, Agent. The Decimal Door is open.

Your clue word was:

Your door code:

Write down that you unlocked Room 1 and show your teacher if needed before moving on. 🔐

Teacher Diagnostic Breakdown — Room 1

Student-facing clue letters remain separate from teacher-facing diagnostic data. The code below reflects performance path, hints used, scaffold/stop triggers, and puzzle completion.

Char	Question	Meaning	Action
4	Q1	Correct first try	✅ Mastered NC.5.NBT.1
1	Q1	Needed Hint 1	⚠️ Review place value shifting
9	Q1	Needed Hint 2	⚠️ Reteach ×10 digit movement
X	Q1	Scaffold resolved	🔻 Small group: NBT.1
W	Q1	All supports exhausted	🚩 Teacher check-in
7	Q2	Correct first try	✅ Mastered NC.5.NBT.3
2	Q2	Needed Hint 1	⚠️ Review comparing decimals
8	Q2	Needed Hint 2	⚠️ Reteach place-by-place comparison
Y	Q2	Scaffold resolved	🔻 Small group: NBT.3
V	Q2	All supports exhausted	🚩 Teacher check-in
5	Q3	Correct first try	✅ Mastered powers of 10 reasoning
3	Q3	Needed Hint 1	⚠️ Review exponent meaning
6	Q3	Needed Hint 2	⚠️ Reteach repeated ×10 shifts
P	Q3	Scaffold resolved	🔻 Small group: NBT.1
Q	Q3	All supports exhausted	🚩 Teacher check-in
D	Q4	Correct first try	✅ Mastered decimal word form
E	Q4	Needed Hint 1	⚠️ Review thousandths placement
F	Q4	Needed Hint 2	⚠️ Reteach writing decimals from word form
R	Q4	Scaffold resolved	🔻 Small group: NBT.3
S	Q4	All supports exhausted	🚩 Teacher check-in
G	Q5	Correct first try	✅ Mastered ×10 and ×100 reasoning
H	Q5	Needed Hint 1	⚠️ Review verifying decimal claims
J	Q5	Needed Hint 2	⚠️ Reteach decimal shifts ×100
K	Q5	Scaffold resolved	🔻 Small group: mixed decimal reasoning
L	Q5	All supports exhausted	🚩 Teacher check-in