Tekijät
Esta Erit, Markku Lähderinne, Kärt Matiisen & Elo ReinikTehtäväkokoelman tekijät
Esta Erit, Markku Lähderinne, Kärt Matiisen & Elo ReinikKustantamo
e-Oppi Oy
Kuuluu paketteihin
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Oppimateriaali sisältää 64 lukua ja 1296 tehtävää, joista 1028 sijaitsee kirjan luvuissa ja 268 opettajan tehtäväkokoelmassa.
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Tekijät
Esta Erit, Markku Lähderinne, Kärt Matiisen & Elo Reinik -
Tehtäväkokoelman tekijät
Esta Erit, Markku Lähderinne, Kärt Matiisen & Elo Reinik -
Aine
Matematiikka -
Luokka
8. luokka -
Teoksen kieli
Englanti -
Kustantamo
e-Oppi Oy -
Kuuluu paketteihin
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
Kirjanmerkki |
Luku |
|---|---|
| 1.1. |
Explanations and tips
Tutustu ilmaiseksi! |
2. Numbers
Kirjanmerkki |
Luku |
|---|---|
| 2.1. |
Fractions and decimals
Tutustu ilmaiseksi! |
| 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
Kirjanmerkki |
Luku |
|---|---|
| 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
Kirjanmerkki |
Luku |
|---|---|
| 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
Kirjanmerkki |
Luku |
|---|---|
| 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
Kirjanmerkki |
Luku |
|---|---|
| 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
Kirjanmerkki |
Luku |
|---|---|
| 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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