Authors
Esta Erit, Markku Lähderinne, Kärt Matiisen & Elo ReinikExercises kit’s authors
Esta Erit, Markku Lähderinne, Kärt Matiisen & Elo ReinikPublisher
e-Oppi Oy
Included in packages
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The study kit contains 64 chapters and 1296 exercises of which 1028 are in the chapters and 268 in the task exercises.
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Authors
Esta Erit, Markku Lähderinne, Kärt Matiisen & Elo Reinik -
Exercises kit’s authors
Esta Erit, Markku Lähderinne, Kärt Matiisen & Elo Reinik -
Subject
Mathematics -
Grade
Grade 8 -
Kit's language
English -
Publisher
e-Oppi Oy -
Included in packages
Spiral 8 is a new digital textbook for middle school mathematics. The book's contents are in line with the Finnish lower secondary school curriculum, focusing on topics that are taught in the 8th grade.
The textbook includes comprehensive theory sections and plenty of interactive exercises. These are enhanced with interactive simulations and videos that help students to understand the topic in an intuitive way.
1. How to use this book
Lead |
Chapter |
|---|---|
| 1.1. |
Explanations and tips
Free chapter! |
2. Numbers
Lead |
Chapter |
|---|---|
| 2.1. |
Fractions and decimals
Free chapter! |
| 2.2. | Addition and subtraction of decimals |
| 2.3. | Multiplication and division of decimals I |
| 2.4. | Multiplication and division of decimals II |
| 2.5. | Multiplication and division by number units |
| 2.6. | Large numbers |
| 2.7. |
Small numbers |
| 2.8. | Approximate value |
| 2.9. | Calculations with approximate values |
| 2.10. | Estimates and calculations |
| 2.11. | Units and prefixes |
| 2.12. | Review |
3. Powers
Lead |
Chapter |
|---|---|
| 3.1. | Multiplication of powers |
| 3.2. | Division of powers |
| 3.3. | The power of multiplication or division |
| 3.4. | The power of a power |
| 3.5. | Review |
4. Geometry
Lead |
Chapter |
|---|---|
| 4.1. | Units and measurements |
| 4.2. | Area calculations |
| 4.3. | The area of a quadrilateral |
| 4.4. | The area of a triangle |
| 4.5. | Triangles and the Pythagorean theorem |
| 4.6. | The Pythagorean theorem and polygons I |
| 4.7. | The Pythagorean theorem and polygons II |
| 4.8. | The sine, cosine and tangent of an angle |
| 4.9. | Solving the leg of a triangle |
| 4.10. | Solving the hypothenuse of a triangle |
| 4.11. | Solving triangles and quadrilaterals |
| 4.12. | The circumference of a circle |
| 4.13. | The sector of a circle |
| 4.14. | Review |
5. Percentages
Lead |
Chapter |
|---|---|
| 5.1. | A whole is one hundred percent |
| 5.2. | Percentages and fractions |
| 5.3. | Percentage as a ratio |
| 5.4. | Percentage of a whole |
| 5.5. | Calculating the base value |
| 5.6. | Price change and new price |
| 5.7. | Percentage change |
| 5.8. | Comparisons with percentages I |
| 5.9. | Comparisons with percentages II |
| 5.10. | Solution calculations |
| 5.11. | Percentage calculations I |
| 5.12. | Percentage calculations II |
| 5.13. | Review |
6. Equations
Lead |
Chapter |
|---|---|
| 6.1. | Speed, distance and time |
| 6.2. | Proportional quantities |
| 6.3. | Proportion equations |
| 6.4. | Proportion tasks |
| 6.5. | Ratios and proportionality |
| 6.6. | Inverse proportionality |
| 6.7. | Review |
7. Functions
Lead |
Chapter |
|---|---|
| 7.1. | The concept of a function |
| 7.2. | The graph and intercepts of a function |
| 7.3. | Linear function |
| 7.4. | The graph of a linear function |
| 7.5. | The slope and the constant term |
| 7.6. | Parallel lines |
| 7.7. | Determining the equation of a line |
| 7.8. | Quadratic function |
| 7.9. | Quadratic equation |
| 7.10. | Presenting an equation with factors |
| 7.11. | Parabolas and trajectories |
| 7.12. | Review |
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