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Use a Number Line to Add and Subtract Lengths

Students use a number line to model addition and subtraction involving lengths. They make jumps on the number line to represent combining or comparing lengths, connecting the visual model to equations.

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Use a Number Line to Add and Subtract Lengths

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

0 of 12

12 rungs. A star at the top.

0510BC

Gap from B to C?

How it is taught

0:00 of 3:32

On a number line, the gap is the distance.

Count the spaces, not just the ticks.

051015202530FG

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.

Start at 64 on a number line and jump back 23. Where do you land? — 41. 64 − 23 = 41.

7 cm + 4 cm

Maya has a pencil that is seven centimeters long. She tapes on a four centimeter extension. How long is her pencil now?

Let's use a number line to figure it out. Each space stands for one centimeter.

First, find seven. That's where Maya's pencil ends before the extension.

Now jump four spaces to the right — those are the four centimeters we're adding on.

We land on eleven.

So seven plus four equals eleven.

Maya's pencil = 7 cmShe adds a 4 cm extension.7 cm4 cmHow long is the pencil now?7 cm + 4 cm = ?013centimeters7pencil ends here+ 4 cm+ 4117+4=11ANSWER11centimeters
Grade 2 · Add lengths by hopping on a number line

Maya's pencil is eleven centimeters long. Nice work!

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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