CCSS.MATH.4.OA.A.1-2✓ New York State Education Department (NYSED) AlignedAcademic Year 2026–27
Multiplicative Comparison & Real-World Word Problems
Distinguish between additive comparison ("3 more than") and multiplicative comparison ("3 times as many as").
Why It Matters:Fundamental for scaling recipes, calculating price markups, and understanding scientific ratios.
Curated Video Instruction
● Verified Active EmbedSTEP-BY-STEP PROOF
Worked Example
Maya has 8 books. Leo has 4 times as many books as Maya. How many books does Leo have?
1
Identify the base quantity and comparison factor
Maya = 8 books; Factor = 4 times as many
Multiplicative comparison means multiplying the base quantity by the factor.
2
Write the multiplication equation
Leo = 4 * 8
Leo’s total is 4 groups of 8.
3
Solve the equation
4 * 8 = 32 books
Leo has 32 books.
✓Verification Check
Divide Leo’s total by Maya’s total: 32 / 8 = 4.
32 / 8 = 4
•
4 = 4 (Verified)
⚠️ Common Pitfalls & Misconceptions
Confusing "times as many" with "more than"
✗ Thinking Leo has 8 + 4 = 12 books✓ "Times as many" means multiplication: 8 * 4 = 32
"More than" is additive (+); "times as many" is multiplicative (*).
INTERACTIVE DRILLS
Guided Practice
Practice Question1 of 1
Step-by-step Feedback
A giraffe is 18 feet tall, which is 3 times the height of a kangaroo. How tall is the kangaroo?
MASTERY BENCHMARK
Official Assessment Quiz
Formal Assessment
Multiplicative Comparison & Real-World Word Problems
Passing Criteria:70% or higher
Question 1 of 1
Sam scored 7 points. Alex scored 5 times as many points as Sam. How many points did Alex score?
Education to Career Navigation
Where This Lesson Leads
Architects and Chefs calculate ingredient and material scaling factors.