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Algebra success for all Basic concepts and properties of algebra are introduced early to prepare students for equation solving. Abundant exercises graded by difficulty level address a wide range of student abilities. The Basic Algebra Planning Guide assures that even the at-risk student can acquire course content. Multiple representations of concepts Concepts and skills are introduced algebraically, graphically, numerically, and verbally-often in the same lesson to help students make the connection and to address diverse learning styles. Focused on developing algebra concepts and skills Key algebraic concepts are introduced early and opportunities to develop conceptual understanding appear throughout the text, including in Activity Labs. Frequent and varied skill practice ensures student proficiency and success.
Normal 0 false false false Foundations of Geometry, Second Edition is written to help enrich the education of all mathematics majors and facilitate a smooth transition into more advanced mathematics courses. The text also implements the latest national standards and recommendations regarding geometry for the preparation of high school mathematics teachers--and encourages students to make connections between their college courses and classes they will later teach. This text's coverage begins with Euclid's Elements, lays out a system of axioms for geometry, and then moves on to neutral geometry, Euclidian and hyperbolic geometries from an axiomatic point of view, and then non-Euclidean geometry. Good proof-writing skills are emphasized, along with a historical development of geometry. The Second Edition streamlines and reorganizes material in order to reach coverage of neutral geometry as early as possible, adds more exercises throughout, and facilitates use of the open-source software Geogebra. This text is ideal for an undergraduate course in axiomatic geometry for future high school geometry teachers, or for any student who has not yet encountered upper-level math, such as real analysis or abstract algebra. It assumes calculus and linear algebra as prerequisites.
Using your book for success -- Entry-level assessment -- Foundations for algebra -- Solving equations -- Solving inequalities -- An introduction to functions -- Linear functions -- Systems of equations and inequalities -- Exponents and exponential functions -- Polynomials and factoring -- Quadratic functions and equations -- Radical expressions and equations -- Rational expressions -- Data analysis and probability -- End-of-course assessment -- Skills handbook -- Reference -- Visual glossary -- Selected answers.
Appropriate for a wide range of student abilities. Works for both the middle school and high school students preparing for success in algebra.