Tables 6 to 10

• The 6-times through 10-times tables and how they build on tables you already know.
• The 9-times finger trick and splitting (e.g. 7 × 8 = 7 × 5 + 7 × 3).
• To check answers using commutative property and known facts.
• Links to Math Mela word problems with equal groups up to 10.

Level 1 — Core idea

Verbal: 8 × 6 means 8 groups of 6 — or six added eight times.

Symbolic: 8 × 6 = 48; 10 × anything adds a zero (in whole-number tables).

Visual: Array: 8 rows, 6 columns → count or use 8 × 5 + 8 = 48.

Level 2 — Going deeper

9-times trick: hold up fingers for the multiplier; left side = tens, right = ones (e.g. 9 × 4 → 3 fingers down → 36). Splitting: 7 × 8 = (7 × 5) + (7 × 3) = 35 + 21 = 56.

NCERT anchor

NCERT Math Mela, Class 3 — Chapter 9 (House of Hundreds) uses larger equal groups. Practice arranging 6, 7, 8, 9, and 10 objects in rows to see arrays.

10-times rule: 10 × n = n with a zero (10 × 7 = 70). 6-times: double the 3-times answer (6 × 4 = 2 × (3 × 4) = 24).

Find 9 × 6 using the finger trick.

Step 1 — Hold up 6 fingers on one hand (for ×6).
Step 2 — 6th finger from left is bent; 5 fingers left → 5 tens; 4 right → 4 ones.
Step 3 — Answer: **54**
Step 4 — Check: 9 × 6 = 9 × 5 + 9 = 45 + 9 = 54 ✓

Find 7 × 8 by splitting.

Step 1 — Split 8 into 5 + 3.
Step 2 — 7 × 5 = 35; 7 × 3 = 21.
Step 3 — Add: 35 + 21 = **56**
Answer: **56**

• What is 10 × 9?
• Use splitting to find 6 × 7.
• Show 9 × 4 on your fingers.
• Stretch: A carton holds 8 eggs. How many eggs in 9 cartons?

Revision tip: Learn one hard fact (like 7×8) by splitting; the rest follow from patterns.

Open the Practice tab for graded questions on Tables 6 to 10.

• 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.