Explanations and tips

Learning sections

The Spiral 8 digital book provides in-depth information in line with the 8th grade mathematics curriculum. The exercises in the book can be done independently or under the guidance of a teacher.

The content of the book is divided into six thematic units. These are divided into chapters, which in turn are divided into smaller learning sections.

Each learning section includes:

• explanations of new material
• examples
• opportunities to think and discuss.

Useful features

At the end of each learning section, it is possible to quickly find additional material on the same topic.

• If the lesson turned out to be overwhelming, you can refer back to previous lessons in the textbook to see if there are any gaps in your learning.
• If the lesson turned out to be too easy, and the "Practise and solve" tasks were not difficult either, then it is the right time to investigate how this knowledge will be applied later or in other subjects.

There is also a "More options" button at the end of each section, through which you can report an error or give feedback.

Tasks

Each of the book's chapters contains tasks at three different skill levels. Every chapter begins with exercises that deal with the current topic ("Practise and solve"). These are followed by curriculum-based exercises ("Good to know" and "Extra"), some of which ask you to apply your skills and knowledge in new ways.

• Try solving the tasks on your own first, then save and check your answers. 
• Your solution may sometimes differ from the one that is given, but it is good to develop your skills and solve problems in different ways.

Review

Each thematic unit ends with a Review chapter. The exercises found in these chapters help to reinforce the skills you have learned in the thematic unit.

Numbers

• Separate decimal places with a decimal point.
• When entering a negative number, enter the "-" character on the keyboard.
• In the case of a negative fraction, insert the "-" character into the numerator $\frac{-1}{2}$  unless otherwise indicated.
• If the text or blanks of the excercise do not require the improper fraction to be converted into a mixed number, the improper fraction will be considered correct.
• The approximate value of π used in the book is either 3, $\frac{22}{7}$, or 3.14, depending on the task. The task description indicates which one is being used.
• The degree of rounding is stated either in the text of the task or in the answer box as 0.0 (tenths), 0.00 (hundreds), etc.

Expressions

• Enter expressions without spaces. For example: x-2, 3a+2b.
• There are situations in the simplification tasks where it is also necessary to enter a multiplier of 1 or 0. In writing, however, this is generally not done.

Exercises with free writing

• The text box that include a text field marked 'Solution' requires that you write the idea for your solution. This text box is checked by the teacher.
• The 'Notes' text box can be used for your own purposes.

• The tasks found in the book can be solved several times.
• If you press 'Restart', all answers of the task must be re-entered.
• If you press 'Correct errors', all answers will be saved and only individual answers can be corrected.