Algebra Class 10 Overview

Mean = The average of a set of numbers Median = The middle value when numbers are arranged in order Mode = The number that appears most frequently in a data set Probability = The likelihood of an event occurring

Breaking down problems = Dividing complex problems into smaller, manageable parts Using mathematical tools = Employing formulas and equations to find solutions Understanding principles = Focusing on the rationale behind mathematical concepts Practicing problems = Solving a variety of exercises to reinforce learning

Creating a study schedule = Helps allocate time effectively across topics Maintaining consistency = Enhances long-term retention of information Seeking help = Provides clarification on challenging concepts Reviewing examples = Aids in understanding the application of formulas

<p>Bar graph = Comparing different categories Histogram = Showing frequency distribution Pie chart = Representing parts of a whole Line graph = Displaying data trends over time</p> Signup and view all the answers

<p>Algebra word problems = Involve solving for unknown variables Geometry word problems = Related to shapes and their properties Statistics word problems = Focus on data interpretation and analysis Probability word problems = Concerned with calculating likelihoods of events</p> Signup and view all the answers

<p>Polynomials = Expressions consisting of variables and coefficients Quadratic Equations = Equations of the form $ax^2 + bx + c = 0$ Linear Equations = Equations of the first degree with two variables Factorization = Breaking down an expression into simpler components</p> Signup and view all the answers

<p>Triangle = A polygon with three sides Circle = Set of points equidistant from a center point Chord = A line segment joining two points on a circle Transversal = A line that intersects two or more lines at different points</p> Signup and view all the answers

<p>Sine = Opposite side divided by hypotenuse Cosine = Adjacent side divided by hypotenuse Tangent = Opposite side divided by adjacent side Cosecant = Hypotenuse divided by opposite side</p> Signup and view all the answers

<p>Arithmetic Progression = A sequence where the difference between successive terms is constant Geometric Progression = A sequence where the ratio of successive terms is constant Common Difference = The fixed amount added in each term of an AP Common Ratio = The fixed amount multiplied in each term of a GP</p> Signup and view all the answers

<p>Square = Area = $s^2$ Rectangle = Area = $l \times w$ Triangle = Area = $\frac{1}{2} \times base \times height$ Circle = Area = $\pi r^2$</p> Signup and view all the answers

<p>Acute Angle = An angle less than $90^{\circ}$ Right Angle = An angle equal to $90^{\circ}$ Obtuse Angle = An angle greater than $90^{\circ}$ but less than $180^{\circ}$ Straight Angle = An angle equal to $180^{\circ}$</p> Signup and view all the answers

<p>Cube = Volume = $s^3$ Cuboid = Volume = $l \times w \times h$ Cylinder = Volume = $\pi r^2 h$ Sphere = Volume = $\frac{4}{3} \pi r^3$</p> Signup and view all the answers

<p>Mid-point = Point dividing a line segment into two equal parts Distance Formula = Formula to calculate distance between two points Coordinate Plane = A plane with an x-axis and y-axis Quadrant = One of the four sections of the coordinate plane</p> Signup and view all the answers