Topic 1
Key Concepts & Understandings
Systems of linear equations and solving techniques (substitution, elimination)
Learning resources
Comprehensive reference covering linear equation systems with solving techniques including elimination and substitution methods.
Quadratic equations and parabolas (factoring, completing the square, quadratic formula)
Learning resources
Complete unit covering all quadratic methods: factoring, completing the square, and the quadratic formula with video tutorials.
Video covering parabola characteristics, symmetry, vertex, and standard forms for quadratic functions.
Polynomial operations and factoring (sum/difference of cubes, trinomials, grouping)
Learning resources
Reference covering polynomial factoring techniques including trinomials, grouping, and special factorizations.
Detailed resource on sum/difference of cubes and other power factorization techniques essential for AMC preparation.
Exponent rules and exponential equations
Learning resources
Comprehensive textbook section on all exponent rules with examples and practice problems.
Solutions for exponential equations using exponent properties and logarithmic techniques.
Rational expressions and equations
Learning resources
Complete textbook treatment of rational equations, LCD methods, and extraneous solution detection.
Foundational resource on rational expression operations and domain restrictions.
Absolute value equations and inequalities
Learning resources
Complete unit with videos and practice covering absolute value equations and inequalities.
Function notation, domain, range, and transformations
Learning resources
Comprehensive reference on function notation, domain, range, and properties for AMC-level mathematics.
Detailed coverage of domain, range, transformations, and interval notation with practice problems.