Grade 11 Mathematics Syllabus1.
Quadratics:- Solving quadratic equations using factoring, completing the square, and the quadratic formula.
- Graphing quadratic functions and identifying key features.
- Solving problems involving quadratic equations and functions.
2.
Functions:- Understanding the concept of a function and its notation.
- Evaluating and graphing various types of functions, including linear, quadratic, exponential, and logarithmic functions.
- Performing operations on functions, such as addition, subtraction, multiplication, and composition.
- Solving problems involving functions and their applications.
3.
Coordinate Geometry:- Understanding and using the distance formula and midpoint formula.
- Graphing lines and identifying their slopes and intercepts.
- Finding equations of lines and solving problems involving parallel and perpendicular lines.
- Investigating and applying properties of conic sections, such as circles, ellipses, parabolas, and hyperbolas.
4.
Circular Measure:- Understanding and using radians to measure angles.
- Converting between degrees and radians.
- Applying trigonometric functions to solve problems involving angles and circular motion.
- Graphing trigonometric functions and identifying their key features.
5.
Trigonometry:- Understanding and applying trigonometric ratios, including sine, cosine, and tangent.
- Solving right triangles and finding missing side lengths and angle measures.
- Using trigonometric identities and formulas to simplify expressions and solve equations.
- Solving problems involving trigonometry and its applications.
6.
Series:- Understanding arithmetic and geometric sequences.
- Finding the sum of finite and infinite arithmetic and geometric series.
- Applying series and sequences to solve problems involving patterns and growth.
7.
Differentiation:- Understanding the concept of a derivative and its notation.
- Finding derivatives of algebraic, exponential, logarithmic, and trigonometric functions.
- Applying differentiation to solve problems involving rates of change and optimization.
8.
Integration:- Understanding the concept of an integral and its notation.
- Finding definite and indefinite integrals of algebraic, exponential, logarithmic, and trigonometric functions.
- Applying integration to solve problems involving area, volume, and accumulation.
9.
Algebra:- Simplifying algebraic expressions and solving equations involving polynomials, rational expressions, and radicals.
- Applying algebraic properties and techniques to solve problems in various contexts.
10.
Logarithmic and Exponential Functions:- Understanding the properties and graphs of logarithmic and exponential functions.
- Solving equations and inequalities involving logarithmic and exponential functions.
- Applying logarithmic and exponential functions to solve problems involving growth and decay.
11.
Forces and Equilibrium:- Understanding the concept of force and its effects on objects.
- Analyzing forces in equilibrium and solving problems involving force diagrams.
- Applying principles of equilibrium to solve problems involving static objects.
12.
Kinematics of Motion in a Straight Line:- Understanding and applying concepts of position, displacement, velocity, and acceleration in one-dimensional motion.
- Solving problems involving motion graphs, equations of motion, and projectile motion.
13.
Momentum:- Understanding the concept of momentum and its conservation.
- Calculating momentum and impulse in various scenarios.
- Solving problems involving collisions and explosions.
14.
Newton’s Laws of Motion:- Understanding and applying Newton's laws of motion.
- Analyzing forces and motion in various situations, including inclined planes, pulleys, and circular motion.
- Solving problems involving forces, motion, and equilibrium.
15.
Energy, Work and Power:- Understanding and applying concepts of energy, work, and power.
- Analyzing the relationships between force, work, and energy.
- Solving problems involving mechanical energy, conservation of energy, and power.
16.
Probability & Statistics:- Understanding basic concepts of probability and statistics.
- Analyzing and interpreting data using measures of central tendency, variation, and correlation.
- Applying probability and statistics to solve problems involving experiments, events, and random variables.
This course is helpful for the following exams: Grade 11