Lesson plans

ENGAGE (5 min)
Show a bag of everyday objects (ball, book, ruler, coin). Ask: "What do you notice about the shape of each object?" Accept all answers. Write the words "circle, square, triangle, rectangle" on the board.

EXPLORE (10 min)
Give each student a set of shape cut-outs. Ask them to sort the shapes into groups and name them. Circulate and prompt: "Why did you put these together?"

EXPLAIN (10 min)
Display flashcards. Define each shape using clear, simple language:
• Circle — no corners, perfectly round.
• Square — 4 equal sides, 4 corners.
• Triangle — 3 sides, 3 corners.
• Rectangle — 4 sides, opposite sides equal.

Point to real objects in the classroom for each shape.

ELABORATE (10 min)
Shape hunt: Students walk around the room and list 2 objects for each shape in their notebook. Share findings as a class.

EVALUATE (5 min)
Show 6 flashcard images. Students hold up a finger for the number of corners. Quick oral round: teacher points to a shape, student names it.

HOMEWORK
Draw 1 real-life object for each shape and colour it.

ENGAGE (5 min)
Ask: "Where does rain come from? And where does it go after it falls?" Take 3–4 responses. Show a picture of rain over a lake. Record student ideas on the board.

EXPLORE (10 min)
Demo: Place a glass of water in sunlight (or shine a torch on it). Ask students to predict what happens over time. Discuss: Where does the water go? Connect to a cloud forming.

EXPLAIN (15 min)
Draw the water cycle step by step on the board:
1. Evaporation — Sun heats water → water turns to vapour → rises into air.
2. Condensation — Water vapour cools high up → forms clouds.
3. Precipitation — Water droplets collect → too heavy → fall as rain/snow/hail.
4. Collection — Water collects in rivers, lakes, oceans → cycle repeats.

Write key vocabulary: evaporation, condensation, precipitation, transpiration (bonus).

ELABORATE (10 min)
Students draw and label their own water cycle diagram on chart paper or in notebooks.

EVALUATE (5 min)
Exit ticket: 3 fill-in-the-blank sentences.
1. Water turns into vapour through _________.
2. Clouds form through _________.
3. Water falls from clouds as rain through _________.

HOMEWORK
Observe a glass of water left on a windowsill for 2 days. Write what happened and why.

ENGAGE (5 min)
Puzzle: "I think of a number, add 7, and get 15. What is my number?"
Let students guess. Ask: "How did you figure it out?" Introduce the idea of representing the unknown as x.

EXPLORE (8 min)
Show a balance scale diagram. Put "x + 7" on one side, "15" on the other.
Ask: "What do we do to both sides to find x?" Guide students to subtract 7 from both sides. Reinforce: whatever you do to one side, do to the other.

EXPLAIN (12 min)
Formal method:
  x + 7 = 15
  x + 7 − 7 = 15 − 7
  x = 8

Work 3 examples on the board:
  1. x − 4 = 9    → x = 13
  2. 2x = 14      → x = 7
  3. x/3 = 5      → x = 15

Emphasise: identify the operation, apply the inverse to both sides.

ELABORATE (12 min)
Students solve 6 graded problems in pairs:
  Easy: x + 3 = 10; x − 2 = 8
  Medium: 3x = 18; x/4 = 6
  Challenge: 2x + 5 = 17; 3x − 4 = 11

Word problem: "A number increased by 12 equals 29. Find the number."

EVALUATE (8 min)
Board relay: one student from each row solves one equation. Class checks. Exit ticket: 2 equations + 1 word problem.

HOMEWORK
NCERT Exercise 4.2, Q 1–6.

ENGAGE (5 min)
Quick question: "What is the HCF of 36 and 48?" Most students will use prime factorisation. Say: "Today we learn a faster, ancient method."

EXPLORE (8 min)
Divisibility exploration: Start with 48 ÷ 36. 48 = 36 × 1 + 12. Now try 36 ÷ 12. 36 = 12 × 3 + 0. HCF = 12. Ask: "What pattern do you see?" Students discuss in pairs.

EXPLAIN (15 min)
State Euclid's Division Lemma: For positive integers a and b, there exist unique integers q and r such that a = bq + r where 0 ≤ r < b.

Euclidean Algorithm:
Step 1: Apply lemma to (a, b). Step 2: Replace (a, b) with (b, r). Step 3: Repeat until r = 0. HCF = last non-zero remainder.

Worked examples:
  1. HCF(135, 225) — 3 steps → 45
  2. HCF(196, 38220) — NCERT example

ELABORATE (10 min)
Board exam question practice (3 questions from past papers):
  1. HCF(26, 91) using Euclidean algorithm.
  2. Show that every positive even integer is of the form 2q.
  3. If HCF(306, 657) = 9, find LCM.

Students work in pairs; one student solves, other reviews.

EVALUATE (7 min)
2-mark exit questions (board paper format):
  1. Use Euclid's division algorithm to find HCF of 455 and 42.
  2. Express 4052 as a product of its prime factors.

HOMEWORK
NCERT Ex 1.1: Q 1(iii), Q 2, Q 4. Try proof: √2 is irrational (for next class).

ENGAGE (5 min)
Ask: "If a plant is sealed in a glass jar with no soil but has water, sunlight and air — will it survive?" Debate for 2 minutes. Collect hypotheses.

EXPLORE (8 min)
Give students a leaf cross-section diagram. Ask them to label any parts they know. Discuss in pairs. Collect: chloroplast, stomata, mesophyll.

EXPLAIN (15 min)
The equation:
  6CO₂ + 6H₂O + light energy → C₆H₁₂O₆ + 6O₂

Break it down:
  Raw materials: CO₂ (from air via stomata), H₂O (from roots via xylem)
  Energy source: sunlight (absorbed by chlorophyll in chloroplasts)
  Products: glucose (stored energy) + oxygen (released via stomata)

Two stages overview (board-level):
  1. Light reaction — in thylakoid membrane, water split, ATP and NADPH produced.
  2. Dark reaction (Calvin cycle) — in stroma, CO₂ fixed into glucose.

Common misconception: Plants don't breathe CO₂ only — they also respire.

ELABORATE (10 min)
Students answer: "Trace the journey of a CO₂ molecule from the air into glucose." (3–4 sentences expected.) Peer review and discuss.

EVALUATE (7 min)
Exit ticket:
  1. What is the role of chlorophyll? (1 mark)
  2. Where does the oxygen released during photosynthesis come from? (2 marks)
  3. Write the balanced chemical equation. (1 mark)

HOMEWORK
NCERT Q1–4 (Chapter 6, Life Processes). Draw and label a chloroplast.

ENGAGE (5 min)
Ask: "Your phone battery charges and also powers your screen — same device, two different processes. What's the difference?" Lead to: charging = electrolytic, discharging = galvanic.

EXPLORE (8 min)
Show Daniell cell diagram. Ask: "Which electrode is anode? Which is cathode? Which way do electrons flow?" Students discuss. Reinforce: oxidation at anode (−), reduction at cathode (+) in a galvanic cell.

EXPLAIN (20 min)
Cell notation: Zn | Zn²⁺ || Cu²⁺ | Cu
E°cell = E°cathode − E°anode = 0.34 − (−0.76) = 1.10 V

Nernst Equation:
  E = E° − (RT/nF) ln Q  ≈  E° − (0.0592/n) log Q  [at 25°C]

Worked example:
  Zn | Zn²⁺(0.1M) || Cu²⁺(1M) | Cu
  Q = [Zn²⁺]/[Cu²⁺] = 0.1/1 = 0.1
  E = 1.10 − (0.0592/2) log(0.1) = 1.10 − (0.0296)(−1) = 1.1296 V

Relationship with ΔG:
  ΔG° = −nFE°   |   ΔG° = −RT ln K   →   E° = (RT/nF) ln K

ELABORATE (12 min)
Board exam practice (3 numericals):
  1. Calculate E for Ni | Ni²⁺(0.001M) || Ag⁺(0.1M) | Ag.
  2. Find ΔG° if E° = 1.10 V, n = 2.
  3. Calculate K for a cell with E° = 0.46 V, n = 2 at 25°C.

Students solve individually; compare with partner.

EVALUATE (5 min)
1-mark Q: State the sign convention for anode and cathode.
3-mark Q: Derive the Nernst equation (HOTS question, common in boards).

HOMEWORK
NCERT Ex 3.5–3.9. Previous year board Q on electrolysis and Faraday's laws (2022, 2023 sets).