The main principles and properties of powers are revised in the first pages to let students discover them intuitively when using the windows. Then students can check their knowledge of these principles through simple excercises. In the pages with calculation games students can practice mental calculation of multiplications and divisions and apply the index laws. Finally it revises one of the applications of powers, how it is the factor decomposition of a number.

This short unit shows how whole numbers and decimals can be represented on a straight line. The concept of ordering numbers graphically is also introduced.

In this unit, we revise the basic ideas of natural numbers and we use them to practise the following operations: addition, multiplication, division and powers. The numbers that appear in each window are generated at random. This allows you to use the window indefinitely and practise a lot of different exercises. Numbers consist of only one or two figures so the calculations can easily be done mentally. Magic squares with sums and multiplications are used in the exercises, however the main...

In this unit, basic concepts of natural numbers are revised and the operations of addition and subtraction are practised. Numbers that appear in each window are generated at random. This allows you to use the window indefinitely and practise a lot of different exercises. Numbers consist of only one or two figures so the calculations can easily be done mentally. Magic squares are used in the exercises, however the main objective of this unit is to learn things about natural numbers.

These activities are designed to be viewed on a 17-inch screen and with a resolution of 1024 x 768 pixels because some windows show measurements in centimetres and millimetres that, when viewed with another configuration, won't correspond with reality; and the size of some windows can even be too big. This unit only deals with a basic knowledge on length, volume and weight units, as studied in primary school. It does not deal with the other units of the International System. Moreover, the...

This unit is based on the study of the properties of regular polygons, their basic characteristics and the concept of the circle as a regular polygon with an infinite number of sides. As this unit is aimed at students in their first and second years of secondary education the content is at a very basic, purely constructive level.

This unit has been designed to introduce the concept of both direct and inverse proportional parts or quantities. We will approach the above-mentioned concepts through a series of problems and exercises and also focus on methods which will allow us to apply these concepts to similar situations.

This unit deals with equations and identities and focuses on solving simple equations both numerically and graphically. Finally, we show how these equations can be applied to many everyday problems.

This unit deals with the concepts of equations and identities and focuses on solving simple equations both numerically and graphically. Graphs are used to introduce the concept of affine functions. Finally, we show how this concept can be applied to many everyday problems.

In this unit we will learn about solids of revolution. First, we define what a solid of revolution is. To get a solid of revolution we start out with some segments and a semi-circumference that they will be rotated 360º around its own axis. And so, three surfaces of revolution will form: cylindrical surface, conical surface and spherical surface. Then we will study the properties of these figures. Students should have a pencil and a piece of paper to do calculations and deductions of the...

These activities are designed to be viewed on a 17-inch screen and with a resolution of 1024 x 768 pixels because some windows show measurements in centimetres and millimetres that, when viewed with another configuration, won't correspond with reality; and the size of some windows can even be too big. This unit only deals with a basic knowledge on length, volume and weight units, as studied in primary school. It does not deal with the other units of the International System. Moreover, the...

In this unit, we revise the basic ideas of integers and we use them to practise the following operations: sums and subtractions. Before starting this unit, students should have studied integers in class in the traditional way. These activities can be used as a complement to reinforce and understand the concepts and the operations better. The numbers that appear in each window are generated at random. This allows you to use the window indefinitely and practise a lot of different exercises....

Students are expected to have already worked with this kind of representation on paper: tables of values, battleships etc. If this isn't the case then it could be introduced by getting students to match a pair of numbers to a member of a set to represent something such as seats in a cinema or where the students themselves are seated in the classroom. This unit introduces students to the Cartesian plane through activities which encourage them to understand concepts related to cartesian...

These activities are designed to be viewed on a 17-inch screen and with a resolution of 1024 x 768 pixels because some windows show measurements in centimetres and millimetres that, when viewed with another configuration, won't correspond with reality; and the size of some windows can even be too big. There are two pages for each geometrical figure. On the first page students have to do the equation of the area of this figure themselves. Therefore, the equation is not given. The next page...

In this unit we will look at different types of quadrilaterals and the properties of each kind. Then we will look at different ways to work out their area and perimeter.

This first look at triangles during the first two years of secondary education is mainly focused on the following: constructing triangles using a ruler and compass, characteristics of equal triangles, angles and area. Before studying this unit students should be familiar with how to measure angles and carry out operations with them. Although the study of special lines in a triangle usually takes place during the third and fourth years of secondary education a general introduction to this area...

A polyhedron is a three-dimensional solid whose faces are polygons joined at their edges. A polyhedron is said to be regular if its faces are made up of regular polygons. In this unit we can see some of this polyhedrons and learn about their properties. The design of these activities allows autonomous learning, but they also raise questions for students to investigate using the windows and to do their own deductions. Therefore, students should take notes in their notebooks so that they can...

Numbers that appear in each window are generated at random. This allows you to use the window indefinitely and practise a lot of different exercises. Numbers consist of only one or two figures so the calculations can easily be done mentally. Magic squares are used in the exercises, however the main objective of this unit is to learn things about natural numbers.

The main principles and properties of powers are revised in the first pages to let students discover them intuitively when using the windows. Then students can check their knowledge of these principles through simple excercises. In the pages with calculation games students can practice mental calculation of multiplications and divisions and apply the index laws. Finally it revises one of the applications of powers, how it is the factor decomposition of a number.

In this unit we shall look at the area of percentages and see how to use them in different exercises. We shall also look at examples of how percentages are used in the world around us such as Value Added Tax (VAT), simple interest and the Retail Price Index (RPI).