Workbook is also available

Authors: Zvezdelina Stankova, Zdravka Paskaleva, Maya Alashka, Raina Alashka

Pages: 238

ISBN: 978-954-779-270-8

Available: Paperback & PDF

The 8th grade math  textbooks continue the march to higher level mathematics. In algebra, students encounter the basics of algebraic functions and their graphs, learn to solve systems of linear equations and inequalities, solidify their understanding of polynomial equations, and begin working with rational expressions.

\$45.00
\$23.00
• 8B Textbook Online 1 year
\$15.00

Overview

Their study of advanced geometry continues with a rigorous development of classic theorems on circles and their inscribed angles and polygons. In the final chapter, students get an introduction to combinatorics, a field often used to provide bridges between other branches of mathematics. Once again, the year’s curriculum ends with a summary of the ideas and techniques students have added to their personal mathematica toolboxes.

Our math book series promotes at all times:
Simplicity and Elegance: In anything we do, especially in mathematics.
Courage: Not being afraid to make mistakes and to learn from them.
Diversity of Ideas: Via multiple solutions to the same problem.
Learning to Think Deeply: Make connections with previously learned material.

Chapter 8. Functions

1. Rectangular Coordinate System (Review)
2. The Concept of a Function
3. Graph of a Function
4. Different Ways to Define a Function
5. Direct Proportionality. Definition
6. Graph of a Direct Proportionality
7. Linear Function and Its Graph
8. Applications of Linear Functions
9. The Function y = | ax + b | and Its Graph
10. Inverse Variation
11. Graph of an Inverse Variation
12. Linear Functions, Equations, and  Inequalities, Part I
13. Linear Functions, Equations, and  Inequalities, Part II
14. The Function y = ax2 , a ≠ 0, I
15. The Function y = ax2 , a ≠ 0, II
16. Summary of “Functions,” I
17. Summary of “Functions,” II
18. Tests 1-2 on “Functions”
19. General Problems on “Functions”

Chapter 9. Systems of Linear Equations

with Two Unknowns

1. Linear Equations w/ Two Unknowns, I
2. Linear Equations w/ Two Unknowns, II
3. Systems of Linear Equations with Two Unknowns
4. Solving Systems by Substitution
6. Solving Systems of Equations. Exercises
7. Modeling with Systems of Equations
8. Summary of “Systems of Equations”
9. Tests 1-2 on “Systems of Equations”
10. General Problems on “Systems of Equations”

Chapter 10. Systems of Linear Inequalities  with One Unknown

1. Intersection/Union of Intervals
2. Systems of Two Linear Inequalities

with One Unknown

1. Solving Systems of Inequalities with One Unknown
2. Inequalities of the Type

f (x) . g (x) > 0 and f (x) . g (x) < 0

1. Modular Inequalities of the Type

| ax + b | < c, a ≠ 0

1. Modular Inequalities of the Type

| ax + b | > c, a ≠ 0

1. Summary of “Linear Inequalities”
2. Tests 1-2 on “Linear Inequalities”
3. General Problems on “Linear Inequalities”

Chapter 11. Circle Geometry

Part I: Circles and Angles

1. Circle. Circle and Point. Circle and Line
2. Tangents to a Circle
3. The Relative Position of Two Circles
4. Central Angle. Arc of a Circle
5. Chords, Arcs, and Angles
6. Inscribed Angle
7. Peripheral (Tangential) Angle
8. Applications of Inscribed and Peripheral Angles
9. Circles and Angles. Exercises
10. Summary of “Circles and Angles”
11. Tests 1-2 on “Circles and Angles”

Part II: Circles and Polygons (Optional)

1. Geometric Constructions (Review)
2. Construction Problems
3. Geometric Locus of Points in the Plane
4. GLP that Oversee a Segment at an Angle
5. Circle Circumscribed about a Triangle
6. Circumcircle of a Triangle. Exercises
7. Circle Inscribed in a Triangle
8. Incircle of a Triangle. Exercises
9. Famous Points in a Triangle
10. Famous Points in a Triangle. Exercises
11. Constructing a Triangle. Exercises
12. Quadrilateral Inscribed in a Circle
16. Summary of “Circles and Polygons,” I
17. Summary of “Circles and Polygons,” II
18. General Problems on “Circles and Polygons”
19. Tests 1-2 on “Circles and Polygons” 8th Grade Material

Chapter 12. Equations and Roots

3. Equations Reducing to Quadratic Ones
4. Equations Reducing to Quadratic Ones. Exercises
5. Vieta’s Formulas
6. Applications of Vieta’s Formulas
7. Summary of “Equations and Roots”
8. Tests 1-2 on “Equations and Roots”

Chapter 13. Rational Expressions

1. Rational Expressions. Domain
2. Basic Property of Rational Expressions
3. Put Rational Expressions over a CD
5. Multiply, Divide, and Take Powers
6. Transform Rational Expressions
7. Rational Equations
8. Rational Equations. Exercises
9. Model with Rational Equations
10. Summary of “Rational Expressions”
11. Tests 1-2 on “Rational Expressions”
12. General Problems on “Rational Expressions”

Chapter 14. Basic Combinatorial Concepts

3. Permutations
4. Variations
5. Combinations
6. Summary of “Basics in Combinatorics”
7. Test on “Basics in Combinatorics”

Chapter 15. Yearly Review

1. Algebraic and Geometric Inequalities
2. Rational Numbers, Roots, Equations
3. Applications of Vieta’s Formulas
4. Rational Expressions
5. Functions
6. Systems of Equations and Inequalities
7. Parallelograms and Trapezoids
8. Vectors and Operations
9. Midsegments and Centroids
10. Transformations in the Plane. Isometries
11. Circles and Angles
12. Circumcircles and Incircles
13. Basic Combinatorial Concepts
14. Exit Tests 1-2 on 8th Grade Material