Year 12 Maths

Year 12 maths is the first year of study of A-level (Advanced level) math, which is the qualification for further education. Year 12 maths is mainly divided into 3 parts: pure maths, statistics, and mechanics. This year, 2/3^rd of the academic year, pure maths like algebraic methods and trigonometric identities are studied and the remaining 1/3^rd is divided between statistics and mechanics. In year 12 maths, a wide range of new concepts are introduced, and hence it is a must for a year 12 student to have the curriculum in hand.

Year 12 Maths - Curriculum

The complete list of year 12 maths along with detailed subtopics is mentioned below. This would help year 12 students to have an idea of what and how much they are going to learn this year.

Pure Maths:

• Algebraic methods
• Polynomial equations and inequalities
• Exponents and logarithms
• Binomial theorem
• Vectors
• Trigonometry: The following topics fall under trigonometry.
  • Coterminal and reference angles
  • Trigonometric identities
  • Graphing trigonometric functions
  • Trigonometric equations
  • Law of sines and Law of cosines
• Functions: The following are the subtopics that fall under functions.
  • Radical functions
  • Rational functions
  • Quadratic functions
  • Exponential and logarithmic functions
  • Absolute value functions
  • Polynomial functions
  • Transformations of functions
• Calculus: The following are the topics that fall under calculus.
  • Limits and rational functions
  • Continuity
  • Derivatives and applications

Statistics:

• Data collection
• Data and graphs
• Mean, median, and mode
• Range and outliers
• Stem and leaf plots
• Box and whisker plots
• Venn diagrams
• Correlation and regression
• Probability
• Probability distributions
• Hypothesis testing

Mechanics:

• Modeling in Mechanics
• Kinematics
• Dynamics
• Statics
• Work and energy
• Moments
• Center of mass
• Collisions

Developing Year 12 Maths Skills

In year 12 maths, students start learning new concepts like logarithms, binomial theorems, vectors, etc. Further, calculus is introduced which is completely new to a year 12 maths student. Developing the skills in the following topics would help them to excel in their future years and courses.

Logarithms and logarithmic functions: This is a completely new topic introduced in year 12. A logarithm is another way of writing exponent. It is used to solve equations involving exponents that cannot be solved even using the laws of exponents. There are some laws of logarithms as well which students have to memorize in order to solve the questions. Further, year 12 also has logarithmic functions where the students can understand the graphical representation of logarithms and their corresponding outputs.

Binomial theorem: Binomial theorem is used to expand the powers of binomials. In this chapter, students will learn how to expand the power of a binomial, how to find a specific term in the expansion, etc.

Calculus: Calculus mainly deals with the rate of change and area between curves. It starts with limits and extends to derivatives and integrals. Year 12 mainly focuses on limits and derivatives. Further, as part of applications of derivatives, students learn the rate of change, slopes of tangents and normals, increasing and decreasing functions, concavity, etc.

Year 12 Maths Tips and Tricks

Here are some tips for year 12 students to get good grades in maths.

• Do maths revisions on regular basis.
• Test yourself at regular intervals without any prompts given by someone (teacher/parent).
• Get used to a weekly study routine and make sure that the concepts that are taught in the school in a week are practiced by the end of that week itself.
• Practice the past year's papers and worksheets by setting the relevant time limit.