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Solve Addition Word Problems with Lengths

Students use addition within 100 to solve word problems that involve combining or extending lengths. Students write equations and connect the context of length to number operations.

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Solve Addition Word Problems with Lengths

Grade 2 · Length and the Number Line · question 1 of 3

0 of 12

12 rungs. A star at the top.

Rosa tapes a 12 cm red ribbon to a 15 cm blue ribbon. How long is the taped ribbon?

How it is taught

0:00 of 3:56

You add lengths when they use the same unit.

The total length is how long they are together.

Read it: Lengths as jumps

A ribbon is 25 cm long. Kim adds 12 cm more. Start at 25 on the line and jump on 12: it lands on 37 cm.

  1. Find the first length on the line: start there.
  2. Jump on to add a length, or jump back to take one away.
  3. Read where the jump lands: 25 + 12 = 37 cm.

A number line is like a long ruler, so a length is a place on it.

Adding a length moves you on, and cutting one off moves you back.

The jump is the length you added, so where it lands is the new length.

Start at the first length, jump on to add or back to take away, and read where you land.

Starting at 0 instead of at 25, and landing on 12.

The ribbon is already 25 cm long. Start at 25, then jump on 12.

A scarf is 41 inches long. Gran knits 39 inches more. How long is it now? — 80. 41 + 39 = 80 inches.

24 cm + 18 cm

Maria has a blue ribbon that is twenty-four centimeters long. She has a red ribbon that is eighteen centimeters long.

If she lays them end to end, how long are the two ribbons together?

We can write that as twenty-four plus eighteen equals something.

Let's use a number line from zero to fifty to add the lengths.

We start at twenty-four — the length of the blue ribbon.

Now we add eighteen. First we hop ten. Twenty-four plus ten is thirty-four.

Then we hop eight more. Thirty-four plus eight is forty-two.

So twenty-four plus eighteen equals forty-two.

The two ribbons together are forty-two centimeters long. Nice work!

Joining two ribbonsBlue ribbon: 24 cmRed ribbon: 18 cmHow long are they together?24+18=?0501020304024+1034+84242cmTOTAL LENGTH42centimeters
Grade 2 · Joining two ribbons end to end

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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