Year 11 Maths

In year 11 maths, some topics like estimating the square roots and cube roots, quadratic inequalities, types of functions, the law of sines and law of cosines are newly introduced. Further, statistics and probability is also extended by a few topics like IQR (Inter Quartile Range), conditional probability etc. Though these new topics are at the introductory level in year 11 maths, learning them to the core would be very helpful for students when they go to their further classes.

Year 11 Maths - Curriculum

Here is the complete information of the topics in the year 11 maths curriculum along with their subtopics. Keeping it in hand helps the students to have the idea about what they are going to learn in maths in year 11.

Numbers:

• Compare and order rational numbers
• Estimating square roots
• Estimating cube roots
• Operations on rational numbers
• Laws of indices
• Compare numbers in standard form
• Operations on numbers in standard form

Percentages:

• Percentage of change
• Taxes
• Word problems on percentages

Algebra:

• Equations with no solutions and an infinite number of solutions
• Word problems on linear equations and simultaneous equations
• Graphing linear inequalities
• Compound inequalities
• Quadratic equations and inequalities
• Sequences
• Polynomials
• Radical expressions

Relations and Functions:

• Types of functions
• Operations on functions
• Linear functions
• Quadratic functions
• Rational functions
• Exponential functions
• Function transformations

Coordinate Geometry:

• Midpoint formula
• Distance formula

Geometry:

• Congruence
• Similarity
• Nets of 3D figures
• Cross sections of 3D figures

Trigonometry:

• Law of sines
• Law of cosines
• Bearings
• Area of a triangle
• Graphing sine and cosine functions

Mensuration:

• Surface areas of cuboids, cylinders, cones, spheres
• Volumes of cuboids, cylinders, cones, spheres
• Percent error: surface area and volume
• Min and Max surface area and volume

Statistics and Probability:

• Quartiles and IQR
• Variance and standard deviation
• Make predictions from scatter plots
• Probability from two-way frequency tables
• Conditional probability
• Geometric probability

Developing Year 11 Maths Skills

Year 11 maths has some difficult topics like types of functions (like linear, quadratic, rational functions and their graphs), advanced trigonometry involving the law of sines and the law of cosines, etc. Also, it involves a bit of advanced statistics and probability. Further, year 11 students get to solve different types of equations as well.

Relations and functions: In this topic, the students of year 11 learn different types of functions, their domain and range, and graph them. The graphing part of functions is very crucial to understand as a student can understand "what a particular type of function stands for" only through graphing.

Advanced trigonometry: In the previous year, students have already learned how to apply trigonometry to right-angled triangles. But this year, trigonometry related to non-right triangles is introduced, which involves the sine rule, cosine rule, and bearings. Advanced trigonometry has more application-based type questions.

Equations and Inequalities: In previous years, students already have experience with linear equations and simple quadratic equations. But in year 11, they will learn to solve the linear and quadratic inequalities and graph them as well. Also, in "sequences", they will learn how to find the general term of a sequence and how to find its sum, etc.

Year 11 Maths Tips and Tricks

Here are some tips and tricks that are helpful for year 11 students to excel in maths.

• Build a strong foundation of basics to make life easier.
• Keep revising the basics.
• Work hard, and practice as many questions as possible from each topic.
• Then solve exam-style questions in exam type environment (by setting a time limit).
• Keep noting the topics/problems that are difficult and keep visiting them.
• Keep the year 11 maths curriculum in hand to know how many topics are left for practice.