Study kit (Mathematics, Grade 9)

Mathematics, Grade 9

Authors
Kersti Kaldmäe, Anneli Kontson, Kärt Matiisen, Enno Pais
Exercises kit’s authors
Kersti Kaldmäe, Anneli Kontson, Kärt Matiisen, Enno Pais, Malle Saks
Publisher
Avita

1. Mental Calculation and Algebra

Lead
Chapter
1.1. Replacing an Operation with Other Operations
Free chapter!
1.2. Squaring a Two-digit Number, and Multiplying Two-digit Numbers
1.3. Squaring and Multiplying Numbers Close to 100

2. Square Number and Square Root of a Number

Lead
Chapter
2.1. Square Root
2.2. Basic Operations with Square Roots

3. Quadratic Function and Quadratic Equation

Lead
Chapter
3.1. The Quadratic Function and Its Graph
3.2. Drawing a Parabola Using the Table Method
3.3. Interpreting a Quadratic Graph
3.4. Solving Quadratic Equations with a Graph
3.5. Incomplete Quadratic Equations
3.6. The Formula for Solving a Quadratic Equation
3.7. Solving Quadratic Equations
3.8. Finding the Vertex of a Parabola
3.9. The Number of the Quadratic Equation's Solutions Depends on the Discriminant
3.10. Word Problems Involving Parabolas

4. Elements of Simplifying Expressions

Lead
Chapter
4.1. Algebraic Fraction
4.2. Reducing Algebraic Fractions
4.3. The 'Minus' when Reducing an Algebraic Fraction
4.4. Multiplying and Dividing Fractions
4.5. Addition and Subtraction of Fractions with a Common Denominator
4.6. Addition and Subtraction of Proper Fractions
4.7. Exercises for Simplifying Simple Expressions

5. The Geometry of a Right-Angled Triangle

Lead
Chapter
5.1. Pythagorean Theorem (1)
5.2. Pythagorean Theorem (2)
5.3. Euclid's Theorem
5.4. Area of a Regular Polygon

6. Trigonometry and Right Triangles

Lead
Chapter
6.1. Angle Units
6.2. Sine and Cosine of an Acute Angle
6.3. Sine and Cosine of an Acute Angle in a Right Triangle
6.4. Tangent of an Acute Angle
6.5. Angle of Elevation
6.6. Solving a Right Triangle

7. Pyramid

Lead
Chapter
7.1. The Pyramid and its Elements
7.2. Surface Area and Volume of a Pyramid
7.3. A Regular Square Pyramid

8. Solid of Revolution

Lead
Chapter
8.1. Solid of Revolution
8.2. Cylinder
8.3. Cone
8.4. Sphere

9. For Reflection and Practice

Lead
Chapter
9.1. Tasks for Connecting Topics and Reflecting on Different Situations
9.2. Tasks for Analysing Everyday Information
9.3. Tasks in Algebra
9.4. Algebra, Easy and Fast
9.5. Investigating Shapes
9.6. Equations and Functions
9.7. Tasks from Mathematics Classics
9.8. Exam Revision. Algebraic Expressions
9.9. Exam Revision. Geometry.
9.10. Exam Revision. Functions

10. Extras

Lead
Chapter
10.1. Definitions
10.2. Glossary
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