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Master integrated mathematics concepts through comprehensive lectures and problem-solving sessions aligned with the Big Ideas Math Integrated Mathematics I textbook by Boswell and Larson. Work through eight detailed chapters covering fundamental algebraic and geometric principles, starting with solving various types of equations including simple, multi-step, and absolute value equations, then progressing to rewriting equations and formulas. Explore inequalities by learning to write, graph, and solve single-step, multi-step, compound, and absolute value inequalities. Develop proficiency with linear functions through graphing techniques, function notation, and transformations, while mastering both slope-intercept and standard forms of linear equations. Build skills in writing equations using slope-intercept and point-slope forms, constructing parallel and perpendicular lines, and analyzing scatter plots with lines of fit and arithmetic sequences. Tackle systems of linear equations using graphing, substitution, and elimination methods, including special systems and linear inequalities in two variables. Advance to exponential functions, growth and decay models, and comparisons between linear and exponential functions, while exploring geometric and recursively defined sequences. Conclude with statistical concepts including measures of center and variation, box-and-whisker plots, distribution shapes, two-way tables, and data display selection, plus an introduction to basic geometric concepts of points, lines, and planes. Each chapter includes dedicated quiz reviews, comprehensive chapter reviews with examples, and cumulative assessments to reinforce learning and track progress throughout the integrated mathematics curriculum.
