20-Day Lesson Plan & Teacher's Diary for Class 7

Teacher's Diary Structure Format

Each entry is formatted based on the columns from the Teacher's Diary photo:

• Day / Class No.

• Chapter / Topic (অধ্যায় / বিষয়)

• Learning Objectives / Sub-topics (পাঠের বিষয়বস্তু / শিখন উদ্দেশ্য)

• Classroom Activities & TLM (শ্রেণিকক্ষের কাজ ও শিক্ষা সহায়ক উপকরণ)

🗓️ 20-Day Lesson Plan & Teacher's Diary

Day 1: Chapter 8 – Construction of Triangles (3 sides given)

• Chapter / Topic: Chapter 8: Construction of Triangles (ত্রিভুজ অঙ্কন)

• Learning Objectives: Understanding the basic condition for triangle formation ($a + b > c$); constructing a triangle when 3 side lengths are given (SSS).

• Activities & TLM: Hands-on drawing using a scale, pencil, and compass. Verifying why a triangle cannot be formed when $a + b \le c$.

• Exercises Covered: Exercise 8.1.

Day 2: Chapter 8 – Construction of Triangles (2 sides & included angle)

• Chapter / Topic: Chapter 8: Construction of Triangles (ত্রিভুজ অঙ্কন)

• Learning Objectives: Constructing a triangle given two sides and their included angle (SAS); understanding property of congruent overlap.

• Activities & TLM: Paper cutout activity to check triangle congruency/overlapping; protractor and ruler usage.

• Exercises Covered: Exercise 8.2.

Day 3: Chapter 8 – Construction of Triangles (1 side & 2 adjacent angles)

• Chapter / Topic: Chapter 8: Construction of Triangles (ত্রিভুজ অঙ্কন)

• Learning Objectives: Constructing a triangle given one side and two adjacent angles (ASA / AAS).

• Activities & TLM: Demonstration of angle construction using ruler and protractor.

• Exercises Covered: Exercise 8.3.

Day 4: Chapter 9 – Concept of Congruence

• Chapter / Topic: Chapter 9: Concept of Congruence (সর্বসমতার ধারণা)

• Learning Objectives: Understanding conditions of congruence: SSS, SAS, ASA/AAS, and RHS; differentiating between congruent and similar triangles (AAA condition).

• Activities & TLM: Cutouts of geometric shapes and flowers to demonstrate exact superposition and similarity.

• Exercises Covered: Examples & conceptual problems from Chapter 9.

Day 5: Chapter 10 – Approximate Value (Basics & Decimals)

• Chapter / Topic: Chapter 10: Approximate Value (আসন্নমান)

• Learning Objectives: Understanding real values vs. approximate values ($\approx$); rules for rounding off to decimal places (1, 2, 3 places).

• Activities & TLM: Measuring student heights/ages in class and converting to approximate values on the blackboard.

• Exercises Covered: Chapter text examples & Let's do 10.1, 10.2.

Day 6: Chapter 10 – Practical Applications of Approximation

• Chapter / Topic: Chapter 10: Approximate Value (আসন্নমান)

• Learning Objectives: Rounding to nearest place values (tens, hundreds, thousands, lakhs); real-life problem solving with approximation.

• Activities & TLM: Solving word problems on weight, money, time, and speed of light.

• Exercises Covered: Kose Dekhi - 10.

Day 7: Chapter 11 – Square Root of Fractions

• Chapter / Topic: Chapter 11: Square Root of Fractions (ভগ্নাংশের বর্গমূল)

• Learning Objectives: Finding square roots of fractional numbers; identifying perfect square fractions; finding smallest factors to multiply/divide to get perfect square fractions.

• Activities & TLM: Board work showing prime factorization of numerators and denominators.

• Exercises Covered: Let's do 11.1, 11.2 & Kose Dekhi - 11.1.

Day 8: Chapter 11 – Square Root by Division Method & Decimals

• Chapter / Topic: Chapter 11: Square Root of Fractions & Decimals (ভগ্নাংশের ও দশমিকের বর্গমূল)

• Learning Objectives: Calculating square roots using the division method; evaluating square roots of decimal numbers.

• Activities & TLM: Step-by-step division technique demonstration on the blackboard.

• Exercises Covered: Text examples & division method practice.

Day 9: Chapter 11 – Approximate Square Roots of Non-Perfect Squares

• Chapter / Topic: Chapter 11: Square Root of Fractions (ভগ্নাংশের বর্গমূল)

• Learning Objectives: Calculating square roots of non-perfect square numbers up to given decimal places (e.g., $\sqrt{3}, \sqrt{5}, \sqrt{7}$); practical applications.

• Activities & TLM: Group activity estimating side length of a square given its area.

• Exercises Covered: Let's do 11.5 & Kose Dekhi - 11.2.

Day 10: Chapter 12 – Algebraic Identities: Square Formulas

• Chapter / Topic: Chapter 12: Algebraic Identities (বীজগাণিতিক সূত্রাবলী)

• Learning Objectives: Derivation and application of basic square identities: $(a+b)^2$, $(a-b)^2$, $2(a^2+b^2)$, $4ab$.

• Activities & TLM: Visual geometric representation using square/rectangular cardboard paper cutouts.

• Exercises Covered: Let's do 12.1, 12.2.

Day 11: Chapter 12 – Algebraic Identities: $(x+a)(x+b)$ & $a^2-b^2$

• Chapter / Topic: Chapter 12: Algebraic Identities (বীজগাণিতিক সূত্রাবলী)

• Learning Objectives: Understanding identity $(x+a)(x+b) = x^2 + (a+b)x + ab$ and $(a^2-b^2) = (a+b)(a-b)$; simplification techniques.

• Activities & TLM: Colored paper cutting activity demonstrating $a^2 - b^2$ transformation into a rectangle.

• Exercises Covered: Let's do 12.3 & algebraic evaluation practice.

Day 12: Chapter 12 – Practical Algebraic Simplifications & Value Evaluations

• Chapter / Topic: Chapter 12: Algebraic Identities (বীজগাণিতিক সূত্রাবলী)

• Learning Objectives: Solving complex algebraic value-finding problems (e.g., $x^2 + \frac{1}{x^2}$, $x^4 + y^4$) using identities.

• Activities & TLM: Step-by-step problem-solving on the board.

• Exercises Covered: Exercise practice from Chapter 12.

Day 13: Chapter 13 – Parallel Lines & Transversal Properties

• Chapter / Topic: Chapter 13: Intersecting and Parallel Lines (সমান্তরাল সরলরেখা ও ছেদকের ধর্ম)

• Learning Objectives: Identifying interior/exterior angles, corresponding angles, alternate angles, and consecutive interior angles formed by a transversal.

• Activities & TLM: Using two parallel lines cut by a transversal on chart paper; angle measurement using protractor to prove equality.

• Exercises Covered: Chapter text activities & exercises.

Day 14: Chapter 14 – Properties of Triangles: Altitudes & Medians

• Chapter / Topic: Chapter 14: Properties of Triangles (ত্রিভুজের ধর্ম)

• Learning Objectives: Understanding altitudes and medians of a triangle; constructing altitudes from vertices to opposite sides using set squares/compass.

• Activities & TLM: Paper folding activity to show concurrence of altitudes and medians.

• Exercises Covered: Let's do 14.1, 14.2.

Day 15: Chapter 14 – Area of a Triangle

• Chapter / Topic: Chapter 14: Properties of Triangles (ত্রিভুজের ধর্ম)

• Learning Objectives: Deriving the area formula of a triangle: $\text{Area} = \frac{1}{2} \times \text{Base} \times \text{Height}$.

• Activities & TLM: Graph paper grid-counting activity to verify triangle area against rectangular bounds.

• Exercises Covered: Text activities on grid paper.

Day 16: Chapter 15 – Speed, Time, and Distance (Basic Concepts)

• Chapter / Topic: Chapter 15: Proportion and Unitary Method (সময়ের সাথে গতিবেগের সম্পর্ক)

• Learning Objectives: Understanding relationship between Distance, Speed, and Time ($\text{Speed} = \frac{\text{Distance}}{\text{Time}}$); direct variation between distance and time.

• Activities & TLM: Real-life travel word problems (cycling, taxi).

• Exercises Covered: Let's do 15.1.

Day 17: Chapter 15 – Problems on Trains and Moving Bodies

• Chapter / Topic: Chapter 15: Proportion and Unitary Method (গতিবেগ ও দূরত্ব)

• Learning Objectives: Unit conversions ($\text{km/h}$ to $\text{m/s}$); solving train problems (crossing a pole, standing person, bridge/platform, relative speed).

• Activities & TLM: Diagrammatic illustration of train crossing length vs. bridge length on board.

• Exercises Covered: Kose Dekhi - 15.

Day 18: Chapter 16 – Double Bar Graph (দ্বি-স্তম্ভ লেখ)

• Chapter / Topic: Chapter 16: Double Bar Graph (দ্বি-স্তম্ভ লেখ)

• Learning Objectives: Reading, interpreting, and constructing double bar graphs for comparative data analysis.

• Activities & TLM: Drawing double bar graphs on graph sheets comparing student marks, book sales, or production over two years.

• Exercises Covered: Exercise problems from Chapter 16.

Day 19: Chapter 17 – Area of Rectangles & Squares (Basic Units & Floor Tiling)

• Chapter / Topic: Chapter 17: Area of Rectangles & Squares (আয়তক্ষেত্র ও বর্গক্ষেত্রের ক্ষেত্রফল)

• Learning Objectives: Unit conversions for area ($\text{m}^2, \text{cm}^2, \text{mm}^2$); solving perimeter, area, and floor-tiling problems.

• Activities & TLM: Calculating the number of tiles needed for class room floor using dimensions.

• Exercises Covered: Let's do 17.1, 17.2.

Day 20: Chapter 17 – Four Walls, Pathways & Land Area Calculations

• Chapter / Topic: Chapter 17: Area of Rectangles & Squares (আয়তক্ষেত্র ও বর্গক্ষেত্রের ক্ষেত্রফল)

• Learning Objectives: Calculating area of 4 walls excluding doors/windows; calculating area of pathways running inside/outside rectangular fields or cross-paths.

• Activities & TLM: Drawing pathway layouts and 4-wall expansion diagrams on blackboard.

• Exercises Covered: Kose Dekhi - 17.