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📚Unit Learning Resources
Comprehensive guide covering balancing equations, order of operations, substitution, and other foundational algebraic concepts directly relevant to chemistry problem-solving.
Detailed video lessons on solving linear equations, systems of equations, and inequalities with conceptual explanations suitable for deeper understanding required at specialized high schools.
Detailed article with worked examples on substitution method for solving systems; directly applicable to chemistry equilibrium and mixture problems.
Shows how algebra skills become critical in chemistry through unit conversions and dimensional analysis, emphasizing that algebra is foundational to quantitative chemistry.
Demonstrates the given-find-ratio algorithm using algebraic equations to solve stoichiometry problems, showing real-world application of equation-solving to chemistry.
Explains coefficient use in balancing chemical equations and connects to conservation of mass, requiring students to think about algebraic relationships.
Free OpenStax textbook chapter on foundational algebra concepts including operations and properties, with detailed conceptual explanations suitable for rigorous study.
✍️Unit Practice Problems
Interactive practice problems for solving multi-step equations with variables on both sides, essential for chemistry stoichiometry and gas law calculations.
Advanced practice problems for elimination method; essential for solving complex chemistry equilibrium and reaction problems that require systematic equation manipulation.
Key Concepts & Understandings
Linear equations and systems of linear equations with multiple variables
Learning resources
Detailed lesson plan covering substitution, elimination, and graphing methods for multiple-variable systems
Practice exercises
Comprehensive Regents-based problem set with graphical and algebraic methods for solving systems of linear equations
Quadratic equations: factoring, completing the square, quadratic formula, and Vieta's formulas
Learning resources
Clear video and article explaining how to solve quadratics using factorization with worked examples
Comprehensive article on completing the square technique with practice problems for solving quadratics
Clear explanation of Vieta's formulas showing relationships between polynomial roots and coefficients
Detailed explanation of the quadratic formula with applications and practice examples for any quadratic equation
Polynomial manipulation including expansion, factoring, and division
Learning resources
Comprehensive textbook chapter covering GCF, trinomial factoring, grouping, perfect squares, and difference of squares
Video explaining polynomial long division and synthetic division techniques for dividing polynomials
Inequalities and absolute value equations/inequalities
Learning resources
Comprehensive resource covering inequalities, absolute value equations and inequalities with study materials
Rational expressions and equations with restrictions
Learning resources
Introduction to rational expressions with explanation of domain restrictions and simplification techniques
Function notation, domain, range, and composition of functions
Learning resources
Clear video on function notation, determining domain, range, and identifying restrictions for various function types
Article explaining function composition, notation f(g(x)), and practical applications with examples