An open source textbook.
CK-12 Foundation's Geometry FlexBook covers the following chapters: Basics of Geometry - undefined terms, defined terms, basic postulates of points, lines and planes; distances on a coordinate grid; complementary and supplementary angles; vertical angles; linear pairs and classification of polygons. Reasoning and Proof - inductive reasoning, deductive reasoning, conditional statements, properties of equality and two-column proofs. Parallel and Perpendicular Lines - the parallel line postulate, the perpendicular line postulate, and angles formed by two parallel lines and a non-perpendicular transversal. Congruent Triangles - the Triangle Sum theorem, triangle congruence, the SSS and ASA postulates, the AAS congruence theorem, two-column and flow proofs, the HL congruence theorem, AAA and SSA relationships, isosceles and equilateral triangles. Relationships Within Triangles - the midsegment theorem, the perpendicular bisector theorem, the angle bisector theorem, the concurrency of medians theorem, Napoleon's theorem, and the triangle inequality theorems. Quadrilaterals - interior angles of convex quadrilaterals, classifying quadrilaterals, properties of parallelograms, properties of rhombi, rectangles and squares, and properties of trapezoids. Similarity - ratio and proportion, properties of similar polygons, AAA and AA rules for similar triangles, using SSS and SAS to solve problems about similar triangles, identifying proportional segments in triangles and similarity transformations. Right Triangle Trigonometry - using the Pythagorean theorem when working with right triangles, classification of triangles, the converse of the Pythagorean theorem, using the geometric mean, properties of special right triangles, and trigonometric ratios. Circles - relationships between congruent and similar circles, the equation of a circle, tangent lines, arc measures, chords, inscribed angles, and angles formed by chords, secants and tangents. Perimeter and Area - finding the area of polygons, using scale drawings or models, finding the circumference of a circle, areas of circles and sectors, calculating the areas and perimeters of regular polygons and geometric probability. Transformations - transformations of figures in two-dimensional space including translations, reflections, rotations and dilations.
CK-12 Foundation's Life Science FlexBook Covers the following chapters:Studying Life- Nature of science: scientific method. tools used in science and safety in research. Introduction to Living Organisms- what they are, what they are made of, and classification. Introduces carbs, lipids, proteins, and nucleic acids. Cells and Their Structures- what they are, what they are made of, organelles and eukaryotic vs. prokaryotic. Cell Functions- ctive transport, passive transport, photosynthesis, and cellular respirationCell Division, Reproduction, and DNA- mitosis, meiosis, DNA, RNA, and protein synthesisGenetics- Mendel's peas to gene therapy. Evolution- Darwin's natural selection, history of life and evidence of evolution. Prokaryotes- properties and characteristicsProtists and Fungi- properties, characteristics, reproduction and metabolismPlants- nonvascular & vascular, gymnosperms & amniosperms and hormones/tropismsIntroduction to Invertebrates- sponges, cnidarians, and wormsOther Invertebrates- mollusks, echinoderms, arthropods, and insectsFishes, Amphibians, and Reptiles- fishes, amphibians, and reptilesBirds and Mammals- characteristics, properties, diversity and significanceBehavior of Animals- communication, cooperation, mating and cyclesSkin, Bones, and Muscles- skeletal, muscular and integumentary systemsFood and the Digestive System- nutrition and digestionCardiovascular System- heart, blood, vessels and cardiovascular healthRespiratory and Excratory Systems- breathing and elimination of wasteControlling the Body- Nervous SystemDiseases and the Body's Defenses- Diseases and the immune responseReproductive System and Life Stages- Reproduction, fertilization, development and healthFrom Populations to the Biosphere- Ecology: Communities, ecosystems, biotic vs. abiotic factors, and biomesEcosystem Dynamics- Flow of energy, recyclig of matter, and ecosystem changeEnvironmental Problems- Pollution, renewable vs nonrenewable resources, habitat destruction & extinction, and biodiversity
An open source textbook.
An open source textbook on probability and statistics.
An open source textbook.
In this lesson we will review what you have learned in previous classes about mathematical equations of relationships and corresponding graphical representations and how these enable us to address a range of mathematical applications. We will review key properties of mathematical relationships that will allow us to solve a variety of problems. We will examine examples of how equations and graphs can be used to model real-life situations.
CK-12 Foundation's Trigonometry FlexBook covers the following chapters: Trigonometry and Right Angles - introduction to the trigonometric functions. Circular Functions - introduction to radian measure, circular functions and periodic functions. Trigonometric Identities - confirm, verify and derive various trigonometric identities. Inverse Functions and Trigonometric Equations - inverse functions to trigonometric functions, and will apply the domain, range and quadrants of the six inverse trigonometric functions to evaluate expressions. Triangles and Vectors - introduction to vectors and vector applications. Polar Equations and Complex Numbers - plot points in a polar coordinate system, graph and recognize limaçons and cardiods, and work with real-world applications involving polar coordinates and polar equations.
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