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Spooky Math Quest

An October-themed three-day math quest for fourth graders exploring base-ten 10x and 1/10 place value relationships, multi-digit operations within 1,000, and multiplication and division models.

LBLara Becker
Pumpkin Place Values

Students interpret the value of each place-value position as 10 times the position to its right and as one-tenth of the value of the place to its left through October pumpkin harvest models.

Haunted Hundreds

Students deepen and apply their understanding of place-value positions as 10 times the position to the right and one-tenth the position to the left through haunted mansion mystery challenges.

Monster Multiplier Manor

Students master multiplication and division strategies including area models, partial quotients, and standard algorithms in a monster laboratory setting.

Spooky Math Quest

An October-themed three-day math quest for fourth graders exploring base-ten 10x and 1/10 place value relationships, multi-digit operations within 1,000, and multiplication and division models.

LBLara Becker

Common error: Writing 10 instead of \(\frac{1}{10}\).

Item 3: Spot the Digit (1 Point)

In 88,800, which digit is \(\frac{1}{10}\) of 80,000?

Correct: The 8 in the thousands place (value: 8,000).

Common error: Choosing the hundreds place (which is \(\frac{1}{100}\)).

Item 4: Written Explanation (1 Point)

Why is any position always 10 times greater than the position to its right?

Sample Response: "Because our number system is based on groups of 10. It takes exactly 10 units of any place to bundle into 1 unit of the place to its left (like 10 ones = 1 ten, 10 tens = 1 hundred), so moving one place left always multiplies the value by 10."

Accept any response noting bundling by 10 or base-ten structure.

💡 Diagnostic & Remediation Guide for Standard 4.NBT.A.1

Score 4/4 (Mastered)

Fluent with directional shifts. Challenge: What happens when moving two positions left (100×) or right (\(\frac{1}{100}\))?

Score 3/4 (Basic)

Check if the student confused "10 times" with "one-tenth". Clarify left = bigger (×10), right = smaller (\(\div 10\)).

Score ≤ 2/4 (Needs Support)

Use base-ten physical blocks: show 10 unit cubes forming 1 rod, and 1 rod as \(\frac{1}{10}\) of 1 hundred flat.

Page 2 of 2 • Teacher Formative Guide • Spooky Math Quest

Turn & Talk: Explain the Ghost Glitch

Partner Quest

👻

Ghost Glitch Challenge

Gus the Ghost says: "In 550, the 5 in hundreds is 10 times the 5 in tens, so the 5 in tens must be 10 less than 500."

Why is Gus wrong? How should he correctly describe the relationship using multiplication or division?

🏰

Ready for Day 2 Practice!

Grab your Haunted Hundreds Practice Page. Analyze multi-digit numbers, evaluate statements, and solve spooky codebreakers!

Target: Complete all 4 vault sections with 100% precision!

Spooky Math Quest • Grade 4 Ready for Day 2 Practice Page!

Common error: Writing 90 or 90,000.

Item 3: Multiple Choice (1 Point)

Which statement about the number 33,400 is true?

Correct Choice: B. The 3 in ten-thousands (30,000) is 10 times the 3 in thousands (3,000).

Matches state assessment standards.

Item 4: Error Analysis (1 Point)

"Since 700 has one more zero than 70, 700 is 100 times greater than 70." Correct this mistake:

Sample Response: "One more zero means the digit shifted exactly one place value to the left, which multiplies by 10, not 100. So 700 is 10 times greater than 70 (70 × 10 = 700). To be 100 times greater, it would need two more zeros (7,000)."

Must explain that 1 place shift = ×10.

💡 Day 2 Diagnostic Evaluation & Readiness for Day 3

Score 4/4 (Mastered)

Student completely grasps base-ten patterns across multi-digit numbers and can justify reasoning in writing.

Score 3/4 (Proficient)

Minor precision slip on zero count or fraction wording. Provide quick feedback before Day 3 area models.

Score ≤ 2/4 (Intervention)

Have student use a physical slider chart to physically move digits one column left (×10) and right (\(\div 10\)).

Page 2 of 2 • Teacher Formative Guide • Spooky Math Quest

Accept any valid chunking (e.g. 10 + 10 + 1).

Item 3: Strategy Reflection (1 Point)

How does breaking 54 into 50 + 4 make multiplying by 6 easier?

Sample Acceptable Response: "It breaks a hard problem into two basic facts: 6 × 50 is just 6 × 5 tens (300), and 6 × 4 is 24. Then you just add 300 + 24 = 324, which avoids mental mistakes."

Look for mention of place value or basic facts.

🏆 3-Day Spooky Math Quest: Overall Standards Mastery

Day 1 Standards

Place value models, bundling 10 ones into 1 ten, and unbundling within 100 with regrouping.

Day 2 Standards

3-digit operations within 1,000, two-step unbundling across zeros, and foundational fact arrays.

Day 3 Standards

Multiplication area models, partial products, and partial quotients division with friendly numbers.

Page 2 of 2 • Teacher Formative Guide • Spooky Math Quest

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