Algebra and Geometry

Author:Michele Conway, Belle Cottingham, Alastair Duncombe & Amanda George
Lower Secondary Stage 9
IMPORTANT

Practice Other Chapters from Algebra and Geometry

This chapter glances into algebraic expressions. It enables us to use index notation for positive integer powers and apply the index laws. It also describes constructing algebraic expressions and factorising them.

This chapter talks about sequences. It details generating terms of a sequence using term-to-term and position-to-term rules. We will also try to derive an expression from the nth term of an arithmetic sequence.

This chapter provides knowledge about 3D shapes. It elaborates on representing 3D shapes on isometric paper. We will also analyse 3D shapes through plans and elevations and learn to identify reflection symmetry in 3D shapes.

The chapter discusses transformations and tessellations. We will find how to tessellate triangles and quadrilaterals, learn which regular polygons tessellate, and why the others do not. It also highlights the use of coordinate grid to solve problems.

This chapter talks about simple algebraic fractions. We will learn how to add and subtract simple and complex algebraic fractions here. It also offers a glimpse of Egyptian fractions and simplifying algebraic fractions.

In this chapter, we will explore formulae. Deriving formulae and using them from mathematics and other subjects have been taught. It also elaborates on substituting positive and negative numbers into expressions and formulae.

This chapter delves into inequalities. We will understand inequality signs and solve linear inequalities in one variable. It also instructs on representing the solution set on a number line and plotting graphs of inequalities.

This chapter explains linear functions and graphs. It elucidates finding the inverse of a linear function and plotting its graph. Straight line graphs and graphical solution of simultaneous equations are also taught.

This chapter deals with angles and geometrical reasoning. It explains the calculation of the interior or exterior angles of a polygon. Assorted problems on properties of angles, parallel and intersecting lines, triangles, etc., are also given here.

This chapter discusses enlargements and the properties of transformation. We will learn to enlarge 2D shapes and identify the scale factor of an enlargement. It also explains transformation of a shape by translation, reflection, or rotation.

In this chapter, we will talk about equations. The constructions and solutions of linear equations with integer coefficients are discussed here. We will also solve a number problem through this method.

This chapter elaborates on simultaneous equations. It teaches us to solve a simple pair of simultaneous linear equations with like and unlike coefficients. It also highlights solving equations that represent real-life situations.

The chapter deals with expanding brackets. We will learn to expand brackets in algebra here. It also clarifies on how to simplify expressions by using power and collecting like terms, factorise quadratic expressions.

This chapter introduces us to real-life graphs and direct proportion. We will acquire an understanding of reading and interpreting real-life graphs here. Further, we will also discover the concept of direct proportion.

This chapter features real-life graphs and direct proportion. We will acquire an understanding of reading and interpreting real-life graphs here. We will also discover the concept of direct proportion.