Cogito
Grade 4 Math · Chapter 2 · Lesson 1
Multiplication as Comparison
"Times as many" is a different question from "more than".
10 problems · about 14 minutes · 4.OA.A.1, 4.OA.A.2
What this lesson teaches
The child interprets a multiplication equation as a comparison and solves multiplicative-comparison problems.
- A multiplication can be read as a comparison.
- "Times as many" means multiply. "More than" means add.
- Read the words carefully before choosing.
Warm-Up Review
From earlier lessons. Loosen up before the new work.
1 problemReview — Subtracting Multi-Digit Numbers: 6,004 − 2,738 = ?
Answer 3266
Why 6,004 − 2,738 = 3,266.
Warm Up
Straightforward practice. Get the method working first.
4 problems4 times as many as 12 is?
Answer 48
Why 4 × 12 = 48.
What does "times as many" tell you to do?
Answer Multiply.
Why "Times as many" is a multiplication.
6 and 3 times as many. How many is that?
Answer 18
Why 3 × 6.
6 and 3 more. How many is that?
Answer 9
Why 6 + 3.
Build It Up
The same ideas with more to keep track of.
2 problems48 is how many times as many as 8?
Answer 6
Why 48 ÷ 8.
7 times as many as 9 is?
Answer 63
Why 7 × 9.
Stretch Yourself
Mixed problems. Work out what kind of question it is before you start.
3 problemsTimes As Many: Ana has 8 stickers. Leo has 5 times as many. How many does Leo have?
Answer 40 stickers
Why 5 × 8 = 40.
More Than: Ana has 8 stickers. Leo has 5 more than her. How many does Leo have?
Answer 13 stickers
Why 8 + 5 = 13. A very different answer.
Working Backwards: Leo has 36 marbles, which is 4 times as many as Ana. How many does Ana have?
Answer 9 marbles
Why Ana has 9 marbles.