Syllabus
Rational Numbers
Integers
Positive and Negative Numbers
Rational Numbers
Number Line
Comparing and Ordering Rational Numbers
Absolute Value
Addition and Subtraction of Rational Numbers
Multiplication and Division of Rational Numbers
Order of Operations
Ratios, Rates & Proportional Relationships
Ratios
Equivalent Ratios
Ratio Tables
Rates
Unit Rates
Proportions
Constant of Proportionality
Proportional Relationships
Tables, Graphs, and Equations
Scale and Scale Drawings
Real-World Proportional Problems
Percents
Percent, Fraction, and Decimal Conversions
Finding Percent of a Quantity
Finding the Whole
Finding the Percent
Percent Increase
Percent Decrease
Discounts
Markups
Sales Tax
Tips
Commission
Profit and Loss
Simple Interest
Algebraic Expressions
Variables and Constants
Terms and Coefficients
Writing Algebraic Expressions
Evaluating Expressions
Combining Like Terms
Distributive Property
Equivalent Expressions
Simplifying Algebraic Expressions
Order of Operations with Variables
Equations & Inequalities
One-Step Equations
Two-Step Equations
Equations with Rational Numbers
Writing Equations from Word Problems
One-Step Inequalities
Two-Step Inequalities
Graphing Inequalities on a Number Line
Solving Real-World Equations and Inequalities
Coordinate Plane & Linear Relationships
Coordinate Plane
Ordered Pairs
Quadrants
Plotting Points
Tables and Graphs
Relationships Between Variables
Rate of Change
Proportional and Non-Proportional Relationships
Equations and Graphs
Interpreting Graphs
Geometry: Angles & Triangles
Types of Angles
Complementary and Supplementary Angles
Vertical and Adjacent Angles
Angle Relationships
Parallel Lines and Transversals
Classifying Triangles by Sides
Classifying Triangles by Angles Triangle Angle
Sum Missing Angle Problems
Scale Drawings
Geometry: Measurement
Perimeter
Area of Rectangles and Squares
Area of Triangles
Area of Parallelograms
Area of Trapezoids
Composite Figures
Circles
Radius and Diameter
Circumference
Area of Circles
Surface Area
Nets
Volume
Three-Dimensional Figures
Statistics
Data Sets
Population and Samples
Random Samples
Measures of Center
Mean
Median
Mode
Range
Quartiles
Interquartile Range (IQR)
Data Distributions
Dot Plots
Histograms
Box Plots
Comparing Data Distributions
Making Inferences from Samples
Probability
Probability
Outcomes and Events
Sample Spaces
Theoretical Probability
Experimental Probability
Relative Frequency
Compound Events
Tables and Tree Diagrams Simulations
Comparing Theoretical and Experimental Probability
Mathematical Problem Solving
Multi-Step Problems
Real-World Applications
Mathematical Modeling
Problem-Solving Strategies
Estimation and Reasonableness
Mathematical Reasoning
Error Analysis
Interpreting and Justifying Solutions
1-1 personalised session with IITians or Engineers
Why Choose us?
Choose Study4Knowledge Institute for expert guidance, strong concepts, personalized learning, regular practice, and proven strategies that empower students to achieve academic and competitive excellence.
How classes are conducted?
Interactive live sessions conducted via Zoom, providing personalized instruction, real-time doubt resolution, engaging discussions, and effective learning from anywhere.