7 Math Lesson

Walking the Number Line: Sums of Rational Numbers & Opposites

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7th grade Level IBTC Style / Thinking Classrooms7.NS.190 min
Learning Objective

Students will be able to find the sum of rational numbers (integers, fractions, and decimals) using number line models and the concept of opposites, and explain why a number and its opposite sum to zero (7.NS.1a, 7.NS.1b).

Lesson Overview

Students progress from locating integers on a number line to adding rational numbers (fractions and decimals) using number line models and the concept of opposites, building toward multi-step sums with mixed signs.

Materials

  • Vertical whiteboards or chart paper
  • Dry-erase markers (multiple colors)
  • Erasers or socks
  • Printed number line reference strips (optional)
  • Four-quadrant consolidation note sheets (printed)
  • Mild/Medium/Spicy practice cards

Scaffolded Task Progression

1Task 1
Start at on a number line. Move RIGHT units. Where do you land?

Write an addition equation that matches your move.
2Task 2
Start at on a number line. Move LEFT units. Where do you land?

Write an addition equation that matches your move.
3Task 3
Start at . First move RIGHT units, then move LEFT units. Where do you land?

Write one addition equation for the full trip. What do you notice?

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