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Negative Numbers on the Number Line

Đối tượng: Middle SchoolThể loại: Math

Mô tả

Introduces negative numbers by showing a number line from -10 to +10 and demonstrating that numbers extend to the left of zero. Students see that negative and positive numbers are mirror images, then practice addition and subtraction using animated hops.

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Negative Numbers on the Number Line

Description

Introduces negative numbers by showing a number line from -10 to +10 and demonstrating that numbers extend to the left of zero. Students see that negative and positive numbers are mirror images, then practice addition and subtraction using animated hops.

Phases

# Phase Name Duration Description
1 Number Line Intro 6s Draw the number line from -10 to +10 with tick marks and labels. Highlight zero.
2 Mirror Images 8s Place +3 (blue dot) and -3 (red dot). Draw a dashed mirror line at zero. Animate both dots appearing symmetrically.
3 Addition with Negatives 10s Start at 5 (blue), hop left 3 times to show 5 + (-3) = 2. Label each hop.
4 Subtraction Across Zero 8s Start at 2, hop left 5 steps to show 2 - 5 = -3. Land on red zone.
5 Summary 6s Show key takeaways: negative numbers are left of zero, subtraction can cross zero.

Layout

+------------------------------------------------------+
|                                                      |
|   [Title: Negative Numbers on the Number Line]       |
|                                                      |
|   <----+----+----+----+--0--+----+----+----+---->    |
|       -10  -8   -6   -4   -2    2    4    6    8    |
|                                                      |
|   [Formula / equation display]                       |
|   [Phase label / annotation]                         |
|                                                      |
+------------------------------------------------------+

Area Descriptions

Area Content Notes
Top Title text Fades in at start
Center Number line Persistent through animation
Center overlays Colored dots, hop arcs Red = negative, Blue = positive
Bottom Equations and annotations Updates each phase

Assets & Dependencies

  • Fonts: LaTeX / sans-serif
  • Colors:
    • Positives: BLUE (#3B82F6)
    • Negatives: RED (#EF4444)
    • Zero: YELLOW (#F59E0B)
    • Number line: WHITE
    • Background: #1a1a2e
  • Manim version: ManimCE 0.19.1

Notes

  • Hops are arc-shaped (CurvedArrow or Arc) drawn above the number line.
  • The mirror dashed line at zero visually reinforces symmetry.
  • Audience: ages 11-14; keep language simple in on-screen text.