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MathematicsAddition & SubtractionAges 7–8

Numbers on a number line

Represent whole numbers as lengths on a number line and represent sums and differences within 100 on a number line diagram

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Teaching Table · Reviewed guide

Set out your lesson

“On a scaled number line, consecutive whole-number marks are equally spaced. The position of 38 is 38 units from zero. Addition moves right or forward by the length being added; subtraction moves left or backward by the length being subtracted. On a paper open number line, jump arcs are not drawn to scale—the labeled endpoints and + or − values show each jump. We can split a long jump into tens and ones while keeping the same total.”

Bring to the table

  • A flexible cloth or plastic measuring tape marked from 0 to 100, handled by the parent
  • Paper
  • Pencil
Full guide and materials
  • A flexible cloth or plastic measuring tape marked from 0 to 100, handled by the parent
  • Paper
  • Pencil
  1. Step 1. Point to 0, 1, 2, and 3 on the measuring tape. Notice that adjacent whole-number points are equally spaced and that 3 is three units from zero.
  2. Step 2. Ask your child to place 18, 42, and 76 on the line and explain that each position shows that many units from zero.
  3. Step 3. Model a paper open number line: label 48 at the start, draw a right-pointing arc labeled +30 to 78, then a right-pointing arc labeled +5 to 83. Explain that the arcs are not drawn to scale; the labels carry the jump values.
  4. Step 4. On a second paper line, label 83 at the start, draw a left-pointing arc labeled −30 to 53, then a left-pointing arc labeled −5 to 48. Compare the endpoints and total values with the addition jumps.
  5. Quick check. On the 0–100 line, ask your child to place 27, show the addition 42 + 35 with forward tens-and-ones jumps, and show the subtraction 77 − 35 with backward tens-and-ones jumps. Success means the placement is correct and both diagrams land on the correct result.

Worked example. For 48 + 35, begin at 48, move +30 to 78, then +5 to 83. The jumps total 35, so 48 + 35 = 83. Reverse the same length: 83 − 35 uses −30 to 53 and −5 to 48.

Optional challenge. Show the inverse pair 60 + 35 = 95 and 95 − 35 = 60 on the same number line. Explain that both equations use the same 35-unit jump, forward in the addition and backward in the subtraction.

What to notice. Save a photo of the paper showing one placed number, one correct addition diagram, and one correct subtraction diagram, or a short parent note recording all three results and the child’s explanation of forward and backward jumps.

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Learning resources

Reviewed external links that reinforce this concept. They do not replace Gakuva’s teaching approach.

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The teaching approach above still stands. Curated practice links will appear here as the shelf fills.

Check understanding

  • Place whole numbers on a number line with equally spaced points
  • Show an addition as a jump forward on the number line (e.g. 38 + 27 shown as jumps)
  • Show a subtraction as a jump backward on the number line
“Can your child mark numbers on a number line and show what happens when they add or subtract — for example, jumping forward 35 places from 48?”

Curriculum record

Type
Representational
Subject
Mathematics
Domain
Addition & Subtraction
Age range
Ages 7–8

Standards

ccss-math:2.MD.6