Sivukartta Sulje Varoitus: täysi sivukartta on liian suuri – alla on vain osittainen sivukartta. Mathematics Math 7 Part II : Classifying figures and areas 1. The coordinate system Pictures 2. Basic concepts of geometry Pictures 3. Angles Background: Reflection Pictures 4. Adjacent angles and opposite angles Pictures 5. Corresponding angles Pictures 6. Circles Pictures 7. Drawing with a compass Pictures 8. Polygons Pictures 9. Triangles Pictures 10. Regular polygons Pictures 11. Lengths and perimeters Background: The SI system and ISO Pictures 12. Units of area Pictures 13. Areas of triangles, parallelograms and trapeziums Pictures 14. Spreadsheets 15. Revision Pictures Part III: Exponents and polynomials 1. The product of powers with the same base 2. The quotient of powers with the same base and the zero exponent 3. The power of a power 4. The negative exponent 5. The power of a product Pictures 6. The power of a quotient 7. Scientific expressions Background: Atoms 8. Calculating powers with a calculator 9. Numeral systems Background: The development of numeral systems 10. Variable expressions 11. Polynomials Pictures 12. Combining and arranging terms Pictures 13. Adding and subtracting polynomials 14. Multiplying a monomial by a monomial Pictures 15. Multiplying a polynomial by a monomial Pictures 16. Multiplying a polynomial by a polynomial Pictures 17. Revision Pictures Tables and formulas Math 8 Part II: Lines and proportionality 1. Drawing a line Images 2. Defining the intersection of two lines 3. Determining the slope of a line 4. The slope-intercept form y = kx + b 5. The general form of a line 6. Forming the equation of a line 7. Parallel and perpendicular lines Images 8. Speed calculations 9. Ratio 10. Proportional distribution 11. Proportions 12. Direct proportionality Mathematical models 13. Inverse proportionality 14. Revision Preliminary test I (Chapters 1–7) Images Preliminary test II (Chapters 8–13) Part III: 2D geometry 1. Congruent and similar figures 2. Scale Mapping methods 3. The similarity of triangles 4. The golden ratio Where does the golden ratio occur? 5. Reflection with respect to an axis Shape and symmetry 6. Reflection with respect to a point 7. Rotation and translation Images 8. Square root 9. Calculating square roots 10. The Pythagorean theorem Images 11. Applications of the Pythagorean theorem 12. The circumference and area of a circle How does the Earth orbit the Sun? 13. The arc and sector of a circle 14. The tangent angle of a circle 15. The inscribed and central angles of a circle 16. Revision Preliminary test (Chapters 1-15) Tables and formulas Math 9 Part I: Expressions and functions 1. The function machine 2. The definition of a function Images 3. The graph of a function Images 4. Linear polynomial functions Images 5. The x-intercept of a function Images 6. Piecewise functions * Images 7. From observations to functions * Images 8. Number sequences The Fibonacci sequence Images 9. Arithmetic number sequences Images 10. Geometric number sequences Images 11. Solving a pair of equations graphically Images 12. Solving a pair of equations by calculating Images 13. Applications of equation pairs 14. Solving an inequality graphically Images 15. Solving a pair of inequalities* Images 16. Revision Images Preliminary test Images Part II: Trigonometry and geometry 1. A review of the use of the compass Images 2. Polygons Images 3. Tangent Images 4. Sine and cosine Images 5. The Pythagorean theorem and memory triangles* Images 6. Trigonometric area formulas * Images 7. Classifying and drawing objects Images 8. Areas of different objects Ecological footprint Images 9. Units of volume Images 10. Cylinder volume Images 11. Cone volume Pyramids Images 12. Sphere Images 13. Polyhedrons Images 14. Objects and planar intersections Images 15. Areas and volumes of similar objects Images 16. Density* Eureka Images 17. Symmetry Images 18. Geometric proofs* Images 19. Revision Images Preliminary test Images Part III: Revision and applications 1. Decimal numbers Images 2. Dividing into factors 3. Polynomials Images 4. Representing a polynomial as a product Images 5. Quadratic polynomial functions Images 6. Incomplete quadratic equations I Images 7. Incomplete quadratic equations II Images 8. Rational expressions* Images 9. Dividing a monomial by a monomial* Images 10. Dividing a polynomial by a monomial and a polynomial* Images 11. Solving rational and proportional equations Images 12. Direct and inverse proportionality Images 13. Powers and roots Images Tables and formulas Maths Grade 7 Part II : Classifying figures and areas 1. The coordinate system Pictures 2. Basic concepts of geometry Pictures 3. Angles Background: Reflection Pictures 4. Adjacent angles and opposite angles Pictures 5. Corresponding angles Pictures 6. Circles Pictures 7. Drawing with a compass Pictures 8. Polygons Pictures 9. Triangles Pictures 10. Regular polygons Pictures 15. Revision Pictures Maths Grade 8 1. Decimal numbers and significant figures 2. Calculating with decimal numbers and rules for rounding 3. Powers & Standard Form 1. The product of powers with the same base 2. The quotient of powers with the same base and the zero exponent 3. The power of a power 4. The negative exponent 5. The power of a product Pictures 6. The power of a quotient 7. Scientific expressions Background: Atoms 8. Calculating powers with a calculator 9. Numeral systems Background: The development of numeral systems 10. Variable expressions 11. Polynomials Pictures 12. Combining and arranging terms Pictures 13. Adding and subtracting polynomials 14. Multiplying a monomial by a monomial Pictures 15. Multiplying a polynomial by a monomial Pictures 16. Multiplying a polynomial by a polynomial Pictures 17. Revision Pictures 4. Percentages as decimals Images 5. Calculating percentages 6. Additions and reductions as percentages Value-added tax 7. Compound interest 8. Changes and comparisons as percentages 9. Unknown base value 10. Revision 11. Lengths and perimeters Background: The SI system and ISO Pictures 12. Units of area Pictures 13. Areas of triangles, parallelograms and trapeziums Pictures 14. The circumference and area of a circle How does the Earth orbit the Sun? 15. The arc and sector of a circle 16. Ratio 17. Proportional Distribution (Dividing in a given ratio) 18. Proportions 19. Direct proportion Mathematical models 20. Inverse proportion 21. 2D geometry 1. Congruent and similar figures 2. Scale Mapping methods 3. The similarity of triangles 4. The golden ratio Where does the golden ratio occur? 5. Reflection with respect to an axis Shape and symmetry 6. Reflection with respect to a point 7. Rotation and translation Images 16. Revision 23. Lines 1. Drawing a line Images 2. Defining the intersection of two lines 3. Determining the slope of a line 4. The slope-intercept form y = kx + b 5. The general form of a line 6. Forming the equation of a line 7. Parallel and perpendicular lines Images Preliminary test I (Chapters 1–7) Images 24. Expressions and functions 1. The function machine 2. The definition of a function Images 3. The graph of a function Images 4. Linear polynomial functions Images 5. The x-intercept of a function Images 6. Piecewise functions * Images 7. From observations to functions * Images 8. Number sequences The Fibonacci sequence Images 9. Arithmetic number sequences Images 10. Geometric number sequences Images 11. Solving an inequality graphically Images 12. Solving a pair of inequalities* Images 16. Revision Images Preliminary test Images Maths Grade 9 10. The Pythagorean theorem Images 11. Applications of the Pythagorean theorem Part II: Trigonometry and geometry 1. A review of the use of the compass Images 2. Polygons Images 3. Tangent Images 4. Sine and cosine Images 5. The Pythagorean theorem and memory triangles* Images 6. Trigonometric area formulas * Images 7. Classifying and drawing objects Images 8. Areas of different objects Ecological footprint Images 9. Units of volume Images 10. Cylinder volume Images 11. Cone volume Pyramids Images 12. Sphere Images 13. Polyhedrons Images 14. Objects and planar intersections Images 15. Areas and volumes of similar objects Images 16. Density* Eureka Images 17. Symmetry Images 18. Geometric proofs* Images 19. Revision Images Preliminary test Images 12. Solving a pair of equations by calculating Images 13. Solving a pair of equations graphically Images 14. Applications of equation pairs 15. The tangent angle of a circle 16. The inscribed and central angles of a circle Part III: Revision and applications 1. Decimal numbers Images 2. Dividing into factors 3. Polynomials Images 4. Representing a polynomial as a product Images 5. Quadratic polynomial functions Images 6. Incomplete quadratic equations I Images 7. Incomplete quadratic equations II Images 8. Rational expressions* Images 9. Dividing a monomial by a monomial* Images 10. Dividing a polynomial by a monomial and a polynomial* Images 11. Solving rational and proportional equations Images 12. Direct and inverse proportionality Images 13. Powers and roots Images
