Topic outline

• • Number systems

In this chapter we'll be revisiting concepts of rational and irrational numbers and operations as well as concepts about real numbers.

• Polynomials

In this chapter, we'll study a particular type of algebraic expression, called a polynomial. We will also learn about the Remainder theorem and Factor theorem and their applications in the factorisation of polynomials.

• Coordinate geometry

In this chapter, we'll learn about the cartesian system. We'll also understand how to locate points as well as some operations.

• Linear equations in two variables

In this chapter, we'll brush up our prior knowledge of linear equations in one variable and extend that to two variables. You will also learn how to graph linear equations.

• Introduction to Euclidean geometry

On the surface, Euclidean Geometry seems like it is only about the properties of shapes such as triangles, quadrilaterals and circles. When you take a deeper look though, you begin to observe that euclidean geometry is really about learning how to think. It is about the almost addictive process of starting from the first principles (axioms) as the foundation and logically reasoning our way to the top.

• Lines and angles

Let's study the properties of the angles formed when two lines intersect each other and also the properties of the angles formed when a line intersects two or more parallel lines at distinct points. Let's then use the knowledge of these properties to practice deductive reasoning.

• Triangles

In this chapter, we'll will deep dive into the details and prove the congruence of triangles, rules of congruence, some more properties of triangles and inequalities in a triangle.

• • Areas of parallelograms and triangles

There are some interesting properties associated with finding the area of a Triangle and a Parallelogram. This chapter talks about these properties in detail.

• Circles

In this chapter, we will learn about circles, terms related to circles and some properties of a circle. We'll also get to know about chords, sectors and cyclic quadrilaterals.

• Constructions

In this chapter, Let's explore some basic constructions that involve bisecting line segments and angles.

• Probability

We'll be studying in this chapter the experimental approach used in the probability for the events.

• Surface areas and volumes

Let's learn how to find the surface areas and volumes of cuboids and cylinders in detail and extend this study to some other solids such as cones and spheres.

• Statistics

In this chapter, we shall briefly discuss some the aspects regarding data such as presentation of data and graphical representation as well as methods to calculate central tendency.

• Heron's Formula

We'll be learning in this chapter a new method called heron's formula to calculate the area of any type of triangle.

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