Chapter 1: Number
* Covers the number system, including real numbers, rational numbers, and irrational numbers.
* Explores properties of numbers, such as divisibility, factors, and primes.
* Example: Determine if the number 143 is divisible by 7.
Chapter 2: Algebra
* Introduces algebraic expressions, equations, and inequalities.
* Solves linear and quadratic equations using various methods.
* Example: Solve for x in the equation 3x + 5 = 14.
Chapter 3: Coordinate Geometry
* Defines the coordinate plane and Cartesian coordinates.
* Graphs lines, circles, and parabolas.
* Example: Graph the line with equation y = 2x + 1.
Chapter 4: Statistics
* Covers data collection, representation, and analysis.
* Calculates measures of central tendency (mean, median, mode) and dispersion (range, standard deviation).
* Example: Find the mean and standard deviation of the data set {5, 8, 11, 15, 19}.
Chapter 5: Trigonometry
* Introduces the trigonometric ratios (sine, cosine, and tangent).
* Solves triangles using trigonometry.
* Example: Find the angle of elevation to the top of a 100-meter-tall building from a point 50 meters away.
Chapter 6: Sequences and Series
* Explores sequences, their terms, and their limits.
* Sums arithmetic and geometric series.
* Example: Find the sum of the first 10 terms of the arithmetic series 3, 6, 9, ...
Chapter 7: Calculus
* Introduces the concept of a limit and the derivative of a function.
* Calculates derivatives and uses them to find maxima, minima, and rates of change.
* Example: Find the derivative of the function f(x) = x^2 - 3x.
Chapter 8: Vectors
* Defines vectors and their operations (addition, subtraction, scalar multiplication).
* Solves problems involving vectors, including finding vector components and vector projections.
* Example: Find the vector that represents the displacement from point (3, 5) to point (7, 11).
Chapter 9: Mechanics
* Introduces the concepts of displacement, velocity, and acceleration.
* Applies Newton's laws of motion to solve dynamics problems.
* Example: A car accelerates from rest to a speed of 60 mph in 10 seconds. What is the car's acceleration?
