St Thomas School Loni

Course Objectives

• To develop strong computational skills in arithmetic operations with integers, fractions, and decimals
• To understand and apply algebraic concepts including expressions, equations, and practical geometry
• To develop spatial reasoning and understanding of geometric principles
• To build skills in data handling and interpretation
• To develop problem-solving abilities and apply mathematical concepts to real-life situations
• To cultivate logical thinking and analytical skills

Course Content

Unit 1: Number System

• Integers: Multiplication and division of integers, properties of integers
• Fractions and Decimals: Multiplication and division of fractions, multiplication and division of decimals
• Rational Numbers: Introduction, representation on number line, operations on rational numbers
• Exponents and Powers: Laws of exponents, application in simplification

Unit 2: Algebra

• Algebraic Expressions: Formation, terms, coefficients, like and unlike terms, operations on algebraic expressions
• Linear Equations in One Variable: Formation, solving simple equations, applications
• Linear Equations in Two Variables: Introduction, solution, plotting on coordinate plane

Unit 3: Geometry

• Lines and Angles: Types of angles, pairs of angles, parallel lines and transversals
• Triangles: Properties, types of triangles, medians and altitudes
• Congruence of Triangles: Criteria for congruence (SSS, SAS, ASA, RHS)
• Quadrilaterals: Types, properties, construction
• Circles: Parts of a circle, circumference, radius, diameter, chord, arc, sector
• Symmetry: Line symmetry, rotational symmetry

Unit 4: Mensuration

• Perimeter and Area: Rectangle, square, triangle, parallelogram, circle
• Area of Pathways
• Surface Area and Volume: Cube, cuboid, cylinder
• Conversion of units

Unit 5: Data Handling

• Collection and Organization of Data
• Representative Values: Mean, median, mode
• Bar Graphs: Construction and interpretation
• Double Bar Graphs
• Pie Charts: Construction and interpretation
• Probability: Basic concepts and simple problems

Unit 6: Ratio and Proportion

• Ratio: Concept, simplification, comparison
• Proportion: Direct and inverse proportion
• Unitary Method: Applications
• Percentage: Concept, conversion to fraction/decimal, applications
• Profit and Loss: Basic concepts
• Simple Interest: Formula and applications

Unit 7: Practical Geometry

• Construction of Triangles: Given base, angles, etc.
• Construction of Parallel Lines
• Construction of Quadrilaterals: Different cases

Assessment Pattern

Assessment	Weightage	Description
Periodic Test 1	10%	Written test covering 50% of the syllabus completed by that time
Periodic Test 2	10%	Written test covering 50% of the remaining syllabus
Notebook Submission	5%	Regularity, assignment completion, and organization
Subject Enrichment	5%	Mathematics lab activities, projects, and problem-solving exercises
Half-Yearly Examination	20%	Comprehensive examination covering the syllabus taught during the first half
Final Examination	50%	Comprehensive examination covering the entire year's syllabus

Prescribed Textbook

• Mathematics for Class VII (NCERT)

Recommended Reference Books

• R.S. Aggarwal - Mathematics for Class VII
• R.D. Sharma - Mathematics for Class VII
• Mathematics Today - Class VII by O.P. Malhotra

Resources Required

• Geometric box with all instruments
• Graph paper and grid notebooks
• Calculator for specific activities (as per teacher's instructions)
• Workbook for additional practice
• Mathematics notebook for class work

Expected Learning Outcomes

By the end of the academic year, students will be able to:

• Perform arithmetic operations with confidence and accuracy
• Formulate and solve simple equations
• Identify and classify different geometric shapes and understand their properties
• Calculate perimeter, area, and volume of various shapes
• Organize data and present it using appropriate graphical representations
• Apply mathematical concepts to solve real-world problems
• Develop a systematic approach to problem-solving

Learning Support

Students requiring additional support will have access to:

• Extra practice worksheets
• Remedial classes during designated hours
• Doubt-clearing sessions after school hours (with prior appointment)
• Online resources through the school portal

Parental Involvement

• Regular review of homework and class assignments
• Encouragement of mental mathematics for daily calculations
• Real-life application of mathematical concepts during shopping, cooking, etc.
• Monitoring of test and examination performance
• Attending parent-teacher meetings to discuss progress