Number Pair Analogies

Joyful Mathematics 2 — Fun with Numbers / Patterns Around Us. Number rules (double, add, half) in pattern activities match number-pair analogies.

• Number pairs follow a rule: add, subtract, double, or skip count.
• Find the rule from the first pair, then apply to the third number.
• Example: 2 : 4 :: 3 : 6 (rule: double)

Verbal: Find the rule in the first pair — add, subtract, double, or half — then apply to the third number.

Symbolic: 2 : 4 → ×2. So 3 : 6. 10 : 5 → ÷2. So 8 : 4.

Level 1 — Double

1:2, 2:4, 3:6 → multiply by 2.

Level 1 — Add same number

1:3, 2:4, 5:7 → add 2 each time.

Level 2 — Skip count link

2:4, 3:6, 4:8 → ×2 rule.

Level 2 — Check your answer

Apply rule backward to see if it fits pair one.

Indian real life

Connect this idea to your daily routine at home, school, or the local market in India.

2 : 6 :: 3 : ? (rule: add 4)

Step 1 — 2 + 4 = 6
Step 2 — Same rule: 3 + 4 = **7**
Answer: 7

• 1 : 2 :: 4 : ? (double)
• 5 : 10 :: 6 : ?
• 10 : 5 :: 8 : ? (half)

Stretch: 2 : 6 :: 3 : ? if the rule is "add 4." Check backward: does 2 + 4 = 6?

Revision tip: Write + or × between each pair before solving — never guess the rule from one number alone.

Open the Practice tab for graded questions on Number Pair Analogies.

• Use the platform-native live simulation or PhET-style tool for this topic (number line, Venn, physics playground, molecule builder, sensor dashboard, etc.).
• Mirror / body / home activity: physically do the concept (count objects, measure, role-play) and photograph or describe for portfolio.
• Voice or text reflection with AI Mentor: explain the concept to a younger student or family member.

• "Explain this concept to a Class 6 student using one real example from an Indian home, school, market, or festival."
• "What is one common mistake students make here, and how would you catch yourself making it?"
• Stretch: "How does this connect to coding, robotics, money, health, environment, or a future career?"

• Complete the core practice + one extension activity (photo, table, short reflection, or mini-project) for base XP + topic badge.
• 5-7 day streak or family discussion note = multiplier + visible artifact in parent/principal dashboard.
• Best real-world application stories (anonymised) featured on class or national leaderboard.

• One hands-on project or measurement using the Drishti kit or household items that makes the concept physical.
• Direct link to at least one Future Skill track (Money Management, Green Tech, Cyber Defenders, Micro-Entrepreneurship, AI Mastery, Sustainable Living, Personality Development).
• Coding extension where relevant (simple script, simulation, or data logging).

This material emphasises experiential "learning by doing", competency (apply/create/analyse), vocational exposure, critical thinking, and multidisciplinary connections. Designed to feed live worlds, AI Mentor (with memory), gamification, robotics, parent analytics, and future skills — not just exam prep.

Portfolio Evidence Idea: Your photo/table/reflection/project + one sentence on "How this helps me in real life or a possible future path."

Open the Practice tab for aligned questions (easy/medium/hard + case-based) with full AI scaffolding.

See curriculum for cross-links and the full future-skills/robotics chapters.