Consecutive Triangular Numbers Animated Visual Proof - Interactive Math

Description

Watch the proof come alive! Two consecutive triangular-number dot patterns combine to form a perfect square, proving T(n) + T(n-1) = n^2. Students control an 8-phase animated walkthrough with 10 worked examples, an interactive scrubber timeline, and clickable step-by-step panel.

Perfect for visual learners who need to SEE why the math works, not just memorize formulas.

What's Included:
- 10 worked examples with varying values
- 8-step animated proof walkthrough per example
- Interactive scrubber/timeline (play, pause, click any step)
- Step-by-step explanation panel with equations
- Keyboard navigation support

How It Works:
- Open the HTML file in any browser (Chrome, Edge, Firefox, Safari)
- Works on Chromebooks, laptops, tablets, and desktops
- No internet required after download
- No installation, no login, no app needed
- Zero prep - just share the file and go

Great For:
- Number pattern exploration
- Connecting geometry and algebra
- Figurate number investigations
- Sub plans and independent work
- Flipped classroom pre-lesson

New to HTML Learning Resources? These are interactive, browser-based activities. No installation, no login - just open and learn! Free guide

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Consecutive Triangular Numbers Animated Visual Proof - Interactive Math

Name: Consecutive Triangular Numbers Animated Visual Proof - Interactive Math
Brand: Micah's Learning Resources
SKU: 15929384
Price: 4.99 USD
Availability: InStock

Micah's Learning Resources

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$4.99

Highlights

Digital downloads

Other (Digital)

Grades

6th - 9th

Subjects

Algebra, Numbers

Standards

CCSS4.OA.C.5

CCSS5.OA.B.3

CCSS6.EE.A.2

Description

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Questions & Answers

Standards

to see state-specific standards (only available in the US).

CCSS4.OA.C.5

Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule “Add 3” and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.

CCSS5.OA.B.3

Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.

CCSS6.EE.A.2

Write, read, and evaluate expressions in which letters stand for numbers.