Add Within 1000 Using Place Value Strategies

Students add two and three-digit numbers within 1000 using strategies based on place value — including decomposing numbers into hundreds, tens, and ones, and adding like units. They use place value blocks, written forms, and mental strategies to develop flexible addition methods.

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Grade 3 · Addition and Subtraction Within 1000 · question 1 of 3

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12 rungs. A star at the top.

120 + 230 = .

How it is taught

0:00 of 4:30

You add hundreds with hundreds, tens with tens.

Like units combine.

A full ten of one unit becomes one of the next.

Read it: Add place by place

268 + 142: the ones make 10, so trade 10 ones for a ten. The tens make 11, so trade 10 tens for a hundred. 268 + 142 = 410.

Line up hundreds, tens and ones.
Add the ones first. 10 ones make a ten: trade them up.
Add the tens, then the hundreds, and trade again when you can.

A place holds 9 at most, so 10 of a place become 1 of the next.

Starting with the ones shows every trade before you need it.

The total stays the same however the blocks are grouped.

Add place by place from the ones. 10 of a place trade for 1 of the next.

Writing 11 tens in the tens place.

11 tens is 1 hundred and 1 ten: trade 10 of them up.

135 + 15 = ___ — 150. Add the ones: 5 + 5 = 10. Trade 10 of them for a rod, then add the tens and the hundreds.

247 + 185

Let's add two hundred forty-seven plus one hundred eighty-five. We'll break each number apart by place value.

Two hundred forty-seven is two hundreds, four tens, and seven ones.

One hundred eighty-five is one hundred, eight tens, and five ones.

Let's add the ones first. Seven plus five.

Seven plus five is twelve. That's one ten and two ones.

Now the tens. Forty plus eighty, plus the extra ten we made.

Forty plus eighty is one hundred twenty. Plus ten more is one hundred thirty.

Now the hundreds. Two hundred plus one hundred, plus the extra hundred from the tens.

Two hundred plus one hundred is three hundred. Plus another hundred is four hundred.

Put it all together: four hundred, plus thirty, plus two.

Two hundred forty-seven plus one hundred eighty-five is four hundred thirty-two. Great work!

Grade 3 · Adding by hundreds, tens, and ones

What you see

While they climb, your page writes one true line to ask about tonight, and a short note each Sunday.

MayaGrade 3 · Mathematics

Did you know?

A chessboard has 64 squares — share them out between the 8 rows and each row holds exactly 8.

Today’s goal: 1 star — one skill mastered, every rung of its ladder climbed
Climbing now: Divide within 100

An example student.

MayaGrade 3 · Mathematics

Maya earned 2 stars this week — Interpret multiplication as equal groups, which took 6 answers over 3 days before its star landed 3 days ago and Multiply by 6, 7, 8 and 9. Next up: Divide within 100.

An example week.

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Standard

CCSS.3.NBT.A.2

Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction

Grade 3

Quoted from the Common Core State Standards.

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What a star here means

A star here is the top of a twelve-rung ladder, in four blocks of equal length — three of facts and one of the skill used in a real question — where a right answer climbs one rung and a wrong one drops back to the start of the block, never below it. The star is kept for good. How we grade

All of Grade 3

This is one rung of 104 in Grade 3 mathematics, in the order they build on each other.

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