CK-12 Foundation CK-12 Foundation’s Calculus, Volume 1 FlexBook covers the following four chapters: Functions, Limits, and Continuity – A review of the basics of functions is given. Students use linear approximations to study the limit process, before a more formal treatment of limits is given. Differentiation – Students explore instantaneous rate of change, and the relationship between continuity and differentiability. The Chain Rule and implicit differentiation are reviewed. Applications of Derivatives – Students gain practice with using the derivatives in related rates problems. Additional topics include The First Derivative Test, The Second Derivative Test, limits at infinity, optimization, and approximation errors.
Integration – This chapter includes indefinite integrals calculus, initial value problems, definite integrals, the Fundamental Theorem of Calculus, integration by substitution, and numerical integration.
CK-12 Foundation CK-12 Foundation's Basic Algebra, Volume 1 FlexBook covers the following six chapters:
Expressions, Equations, and Functions - covers the relationships among expressions, equations, and functions when variables are present. Also explored is how these ideas can be shown on graphs. Properties of Real Numbers - covers various forms that rational numbers can assume, including fractions, integers, and square roots. Also considered are different operations for manipulating rational numbers. Linear Equations - introduces students to methods of solving simple equations involving variables. Also covered are ratios, scale, and the percent equation. Graphing Linear Equations and Functions - provides students with a more in-depth understanding of equations by introducing coordinate plane graphing concepts such as intercepts and slope. Writing Linear Equations - focuses on writing various forms of equations based upon real-world data and already existing lines. Students will also learn about predicting data using a fitted line. Linear Inequalities and Absolute Value; An Introduction to Probability - covers operations of inequalities, including addition, subtraction, multiplication and division. These principles are then applied to absolute value and probability.
CK-12 Foundation CK-12 Foundation's People’s Physics Book Version 2 Covers the following chapters: Units and Problem Solving- Units, conversions, measurements & symbols Energy Conservation- 5 laws One-Dimensional Motion- motion, velocity, acceleration & deceleration Two Dimensional and Projectile Motion- motion & velocity Newton’s Laws- study of motion, acceleration & force Centripetal Forces- study of force, velocity changes, net-forces, applied forces & acceleration Momentum Conservation- study of motion, mass, velocity, force of gravity & collision Energy and Force- laws of conservation of energy & force Rotational Motion- Conservation of angular momentum, rotational velocity, rotational inertia/motion, , torque & linear motion Simple Harmonic Motion- SMH, periodic motion, oscillation, restorative force, frequency, amplitude & kinetic energy Wave Motion and Sound- harmonic motion, longitudinal/transverse & sound/water waves & interference Electricity- conservation of charge, electromagnetism, charge, gravity, potential energy & electric force Electric Circuits: Batteries and Resistors- Ohm's Law, electric currents/fields, voltage, current, resistance & AC/DC power Magnetism- electromagnetic force, Coulomb electric force, electric current, magnetic fields, electricity & right/left hand rules Electric Circuits: Advanced Topics- circuitry, diodes, inductors, transistors, amplifiers & chips Lights- waves, electromagnetic radiation/ fields, electrons, photons, Fermat’s Principle, refraction/diffraction, scattering/color absorption & dispersion Fluids- force, momentum, density, Archimedes’, Pascal’s & Bernoulli’s Principles Thermodynamics and Heat Engines- Adiabatic process, thermodynamics & entropy Gas Laws Heat Engines and the Laws of Thermodynamics BCTherm Special and General Relativity- Theory of Relativity, Lorentz time dilation/length contraction, speed of light, space time, black holes & event horizons Radioactivity and Nuclear Physics- fission/fusion & radioactive decay Standard Model of Particle Physics- subatomic particles, Standard Model, CPT symmetry, fermions, bosons, leptons, quarks & fundamental forces
Feynman's Diagrams- drawing Feynman’s Diagrams Quantum Mechanics- wave-particle duality The Physics of Global Warming– radiation & thermodynamics Answers to Selected Problems Equations and Fundamental Constants
CK-12 Foundation CK-12 Foundation’s Calculus, Volume 2 FlexBook covers the following four chapters: Applications of Integration – This chapter includes applications of the definite integral, such as calculating areas between two curves, volumes, length of curves, and other real-world applications in physics and statistics. Transcendental Functions – This chapter includes differentiation and integration of logarithmic and exponential functions, exponential growth and decay, derivatives and integrals involving inverse trigonometric functions, and L’Hospital’s Rule. Integration Techniques – Students explore integration by substitution, integration by parts, integration by partial fractions, trigonometric integrals, trigonometric substitutions, and improper integrals.
Infinite Series – This chapter introduces the study of sequences and infinite series. The properties presented describe the behavior of a sequence or series, including whether a sequence approaches a number or an infinite series adds to a number.
CK-12 Foundation CK-12 Basic Physics - Second Edition covers the following chapters:
Units: This chapter covers the basic units used in physics, guidelines for using units, and their importance within physics.
Wave: This chapter covers objects in harmonic motion, which are defined as objects that return to the same position after a fixed period of time. Objects in harmonic motion have the ability to transfer some of their energy over large distances.
Light Nature: This chapter covers the nature of light, polarization, and color.
CK-12 Foundation CK-12 Foundation's Basic Algebra, Volume 2 FlexBook covers the following six chapters:
Systems of Equations and Inequalities; Counting Methods - introduces students to linear systems of equations and inequalities as well as probability and combinations. Operations on linear systems are covered, including addition, subtraction, multiplication, and division. Exponents and Exponential Functions - covers more complex properties of exponents when used in functions. Exponential decay and growth are considered, as are geometric sequences and scientific notation. Polynomials and Factoring; More on Probability - introduces students to polynomials and their basic operations as well as the process of factoring polynomials, quadratic expressions, and special products. Also considered is probability through compound events. Quadratic Equations and Functions - introduces students to quadratic equations and various methods of solving them. Also considered is the discriminant and linear, exponential, and quadratic models. Radicals and Geometry Connections; Data Analysis - covers the concept of the radical and its uses in geometry, including the Distance and Midpoint Formula and Pythagorean’s Theorem. Also considered are methods of analyzing data with charts and graphs. Rational Equations and Functions; Statistics - covers rational functions and the operations of rational expressions. Students learn to graph rational functions, divide polynomials, and analyze surveys and samples.
CK-12 Foundation Introduces engineering techniques and practices to high school students. This book is designed for a broad range of student abilities and does not require significant math or science prerequisites.
CK-12 Foundation CK-12 Earth Science For Middle School covers the study of Earth - its minerals and energy resources, processes inside and on its surface, its past, water, weather and climate, the environment and human actions, and astronomy
CK-12 Foundation CK-12's Middle School Math Grade 6 covers the fundamentals of fractions, decimals, and geometry. Also explored are units of measurement, graphing concepts, and strategies for utilizing the book’s content in practical situations. Volume 1 includes the first 6 chapters - Number Sense and Variable Expressions, Statistics and Measurement, Addition and Subtraction of Decimals, Multiplication and Division of Decimals, Number Patterns and Fractions, and Addition and Subtraction of Fractions.
CK-12 Foundation CK-12's Basic Geometry FlexBook, Volumes 1 through 2, is designed to present students with geometric principles in a more graphics-oriented course. Volume 1 includes 6 chapters: Basics of Geometry, Reasoning and Proof, Parallel and Perpendicular Lines, Triangles and Congruence, Relationships with Triangles, and Polygons and Quadrilaterals.