Math by Modules

This bundle contains a collection of guided notes to accommodate a full year of instruction for any Algebra 1 course. With over 320 pages of carefully scaffolded notes, accompanying practice problems, and a full, step-by-step answer key, this bundle contains materials for the following units: - Unit 1: Fundamentals of Algebra - Unit 2: Multi-step Equations and Inequalities - Unit 3: Relations and Function - Unit 4: Linear Functions and Equations - Unit 5: Linear Regression - Unit 6: System

This resource provides a thorough, in-depth framework for working with arithmetic and geometric sequences. In particular, this set of guided notes (with several carefully scaffolded practice problems and a full answer key) covers the following topics: - Basics of sequences (notation, formatting, etc.) - Arithmetic sequences (common difference, evaluating and deriving recursive and non-recursive formulas for the nth term) - Geometric sequences (common ratio, evaluating and deriving recursive and

This resource provides a comprehensive, in-depth framework for simplifying radical expressions and equations. In particular, this set of guided notes (with several practice problems and a full answer key) covers the following topics: - Basics of radicals (notation, key terms, perfect squares, etc.) - Simplifying radical expressions containing strictly numbers, strictly variables, and some combination of the two - Solving algebraic equations involving radicals, containing numeric and/or variable

This set of fill-in-the-blank notes offers an in-depth guide to performing linear regressions. Specifically, this resource covers the following topics: - Introduction to linear regressions (e.g. conceptual overview, real-world applications, positive vs. negative vs. no correlation) - Step-by-step guides to completing linear regressions on TI-84 Plus family calculators, as well as the Desmos graphing calculator feature - A full, step-by-step answer key for each practice problem throughout the not

This set of guided notes offers a comprehensive approach to solving multi-step equations and inequalities. Specifically, this resource (with 13 multi-part practice problems and a full answer key) covers the following topics: - Introduction to multi-step equations and inequalities (re-arranging algebraic equations, inequality notation, interval notation, plotting solutions on a number line, etc.) - Solving various types of multi-step equations and inequalities (two-step equations and inequalities

This set of guided notes provides a rigorous, in-depth approach to the fundamentals of algebra and serves as a strong introductory unit for any Algebra 1 course. Specifically, this resource (with 16 multi-part practice problems and a full answer key) covers the following topics: - Introduction to fundamentals of algebra (e.g. basic operations) - Order of operations - Properties of arithmetic (commutative, associative, distributive) - Combining like terms - One-step equations - One-step inequalit

This set of guided notes provides an in-depth approach toward understanding the laws of exponents. In particular, this resource contains the following: - A full set of fill-in-the-blank notes, designed to last for 1-2 weeks of instruction - Several multi-part, scaffolded practice problems (39 individual problems) to supplement each section of notes - An introduction to properties of exponents (e.g. key terms) - 8 sections devoted to each individual exponent rule (zero power, negative exponent, p

This set of guided notes offers a comprehensive approach to working with relations and functions. Specifically, this resource (with 12 multi-part practice problems and a full answer key) covers the following topics: - Basics of relations and functions (e.g. similarities and differences, domain, range, etc.) - Determining whether or not a relation is a function given: (1) a graph, (2) a set of ordered pairs, (3) a table of coordinates, and (4) a mapping diagram. If you enjoy my resources, please

This set of guided notes provides a thorough, in-depth approach to working with quadratic functions, as well as solving quadratic equations. In particular, this resource contains the following: - A full set of fill-in-the-blank notes, designed to last for 2-3 weeks of instruction - 29 scaffolded practice problems to supplement each section of notes - An introduction to quadratic functions (e.g. focus, directrix, axis of symmetry) - A full guide to solving quadratic equations through all 3 key me

This set of guided notes provides a thorough, cohesive approach to working with linear functions. Specifically, this resource (with 29 practice problems and a full answer key) covers the following topics: - Basics of linear functions (e.g. key terms, diagrams, etc.) - Calculating the slope of linear functions given 2 points, a table, and/or a graph - Graphing linear functions given a point and a slope, 2 points, and/or a table - Using slope-intercept, point-slope, and standard forms to write and

This resource offers a substantial, in-depth approach to factoring polynomials. In particular, this set of guided notes (with 29 scaffolded practice problems and a full answer key) covers the following topics: - Intro to factoring polynomials (e.g. key terms) - Factoring polynomials in standard form where a = 1 - Factoring polynomials in standard form where a > 1 - Factoring differences of squares - Factoring sums and differences of cubes - Factoring other cases of polynomials (e.g. partial

This resource provides a rigorous, in-depth framework for understanding compositions and operations of functions. In particular, this set of guided notes (with 18 practice problems and a full answer key) covers the following topics: - Basics of compositions of functions (notation, real-world applications, etc.) - Evaluating compositions of functions using tables of coordinate points - Composing functions algebraically (e.g. using given equations) - Evaluating compositions of functions using grap

This set of guided notes (with practice problems) provides a comprehensive overview to inverse functions, particularly in the following areas: - Basics of inverse functions - Evaluating inverse functions using tables of coordinate points - Finding inverse functions algebraically - Finding inverse functions by graphing If you enjoy my resources, please consider following me to keep up with all things algebra, geometry, and precalculus! The banner and font in the thumbnail were provided by Krista

This resource provides a comprehensive, in-depth approach to solving systems of linear equations. The resource contains: - A full set of guided notes (with answers), designed to last for 2-3 weeks of instruction - 34 scaffolded practice problems to supplement each section of notes - A full guide to solving systems of linear equations through all 4 key methods (substitution, graphing, elimination, and matrices) - A detailed, step-by-step set of calculator instructions to solve systems of equation