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## 3rd grade (Eureka Math/EngageNY)

### Unit 3: Lesson 5

Topic E: Analysis of patterns and problem solving including units of 0 and 1- Identity property of 1
- Multiply by 0 or 1
- Divide by 1
- Divide by 10
- Represent multiplication on the number line
- Patterns with multiplying even and odd numbers
- Patterns in multiplication tables
- Patterns in multiplication tables
- Relate multiplication and division equations
- Fact families
- Find missing factors (1-digit multiplication)
- Multiplication and division word problems (within 100)
- 2-step estimation word problems
- 2-step word problem: running
- Represent 2-step word problems with equations
- 2-step word problems
- Use associative property to multiply 2-digit numbers by 1-digit

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# Identity property of 1

The identity property of 1 says that any number multiplied by 1 keeps its identity. In other words, any number multiplied by 1 stays the same. The reason the number stays the same is because multiplying by 1 means we have 1 copy of the number. For example, 32x1=32. Created by Sal Khan and Monterey Institute for Technology and Education.

## Video transcript

We're asked to multiply
65 times 1. So literally, we just need to
multiply 65-- we could write it is a times sign like that or
we could write it as a dot like that-- but this
means 65 times 1. And there's two ways
to interpret this. You could view this as the
number 65 one time or you could view this as the
number 1 sixty-five times, all added up. But either way, if you have one
65, this is literally just going to be 65. Anything times 1 is going
to be that anything, whatever this is. Whatever this is times
1 is going to be that same thing again. If I have just some kind of
placeholder here times 1, and I could even write it as the
times symbol times 1, that's going to be that same
placeholder. So if I have 3 times 1,
I'm going to get 3. If I have 5 times 1, I'm going
to get 5, because literally, all this is saying
is 5 one time. If I put-- I don't know-- 157
times 1, that'll be 157. I think you get the idea.