Tesseract - Syllabus Junior Category

Syllabus Junior Category (Grades 6-7)

Basic Operations and Expressions
Introduction to variables, constants, and algebraic expressions
Simplifying algebraic expressions using the distributive property and combining like terms
Understanding the concept of equations and identities
Linear Equations
Solving simple one-variable linear equations
Word problems involving linear equations
Applications of linear equations in day-to-day scenarios
Inequalities
Introduction to inequalities (>, <, ≥, ≤)
Solving simple one-variable inequalities
Representing solutions on a number line
Introduction to Patterns and Sequences
Identifying and extending arithmetic sequences
Finding the nth term of a sequence
Basic applications of sequences
Real-life Applications

Prime Numbers and Divisibility
Prime numbers, composite numbers, and their properties
Finding prime factors of numbers using factor trees
Understanding divisibility rules (2, 3, 5, 10)
LCM and GCD
Least common multiple (LCM) and greatest common divisor (GCD) of two or more numbers
Applications of LCM and GCD in solving word problems
Basic Modular Arithmetic
Introduction to mod notation (clock arithmetic)
Simple congruences and their properties
Introduction to Perfect Squares and Cubes
Recognizing perfect squares and cubes
Identifying square roots and cube roots
Real-life Applications

Basic Shapes and Properties
Identifying polygons: triangles, quadrilaterals, pentagons, etc.
Properties of triangles (equilateral, isosceles, scalene) and quadrilaterals (square, rectangle, parallelogram)
Angles and their properties (complementary, supplementary)
Perimeter and Area
Calculating the perimeter and area of triangles, rectangles, and other polygons
Area of a circle and basic understanding of π (pi)
Application of area and perimeter in real-world problems
Symmetry and Transformations
Understanding symmetry (line symmetry, rotational symmetry)
Basic transformations: translation, rotation, reflection
Real-life Applications