Pencils & Polynomials

Help your students confidently graph and interpret linear equations in standard form with these clear and structured Guided Notes! This resource walks students through identifying the parts of a linear equation written as Ax+By=C finding x- and y-intercepts, and using those intercepts to graph lines accurately. Learners also explore horizontal and vertical lines, apply concepts to real-world word problems, and interpret intercepts in context. The notes include: Clear explanations of standard fo

Help students confidently master solving systems of linear equations using the elimination method with these clear, structured, and student-friendly guided notes! This resource breaks down elimination step-by-step, supports multiple variations of the method, and provides worked examples and practice that gradually increase in complexity. Students learn: What elimination is and when to use it compared to graphing or substitution How to recognize systems with common coefficients and eliminate a v

Help your students analyze and describe the key characteristics of functions with these clear and structured Guided Notes! This resource walks learners through identifying x- and y-intercepts, as well as describing when a function is positive, negative, increasing, or decreasing. Students explore how the graph of a function changes across intervals, interpret key features, and connect real-world contexts—like a drone’s flight path—to graph behavior. The notes include: Definitions and guided exa

Help your students master one of the most essential algebra skills—writing equations of parallel and perpendicular lines—with these clear, structured, and visually guided notes! These notes walk students through: Identifying slopes of given lines (including rewriting into slope-intercept form when needed) Recognizing that parallel lines have the same slope and perpendicular lines have opposite reciprocal slopes Writing equations using point-slope form and converting to slope-intercept form Exa

Help your students master how to write equations of lines in point-slope form with these clear, structured, and student-friendly Guided Notes! This resource walks learners through identifying slopes, using given points, and applying the point-slope formula to write linear equations from graphs, tables, real-world scenarios, and multiple representations. Throughout the notes, students see worked examples such as: Writing equations from a given point and slope. Writing equations using two poin

Help students master how to graph linear inequalities with these clear, structured, and classroom-ready guided notes! Designed for middle school and Algebra 1 learners, this resource breaks down graphing inequalities into simple, repeatable steps that build understanding and confidence. Students learn how to: Rewrite inequalities in slope-intercept form to prepare for graphing Determine whether a boundary line is solid or dashed based on the inequality symbol Graph the boundary line using the

Support your students in mastering how to write linear equations in slope-intercept form with these clear, structured, and visually organized Guided Notes! Students learn how to identify the slope, determine the y-intercept, and write equations from graphs, tables, ordered pairs, and real-world situations. The notes walk learners step-by-step through the process of using the slope formula, substituting into y=mx+b, and solving for b when necessary. These guided notes include: Explanations o

Help your students confidently master the concept of graphing linear equations using the slope-intercept form with these clear and structured Guided Notes! This resource introduces students to identifying slope as a rate of change, interpreting y-intercepts, and graphing lines from equations, tables, and verbal descriptions. Students also practice finding slope from points and tables, describing types of slopes, and connecting algebraic equations to real-world contexts—such as modeling a hot air