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SAT-Math-14: Graphing Linear Inequalities on the Coordinate Plane

This lesson teaches students how to represent linear inequalities visually on the $xy$-plane by drawing boundary lines and determining the correct solution region through shading.

powerty

21 2m

Mathematics

SAT-Math-13: Solving Multi-Step Linear Inequalities

This lesson covers how to solve multi-step linear inequalities, emphasizing the foundational rules of balance and the critical rule of flipping the inequality sign when multiplying or dividing by a negative number.

powerty

23 2m

Mathematics

SAT-Math-12: Perpendicular Lines and Negative Reciprocal Slopes

This lesson covers the geometric and algebraic relationship between perpendicular lines, teaching students how to find and apply negative reciprocal slopes to solve coordinate geometry problems.

powerty

25 2m

Mathematics

SAT-Math-11: Parallel Lines and Equal Slopes

This lesson explores the relationship between geometric parallel lines and their algebraic slopes, showing students how to determine if lines never intersect and how to write equations for parallel paths.

powerty

25 2m

Mathematics

SAT-Math-10: Interpreting Slopes and Intercepts in Context

This lesson teaches students how to decode the real-world meaning of the slope and y-intercept in linear models, translating abstract coefficients into concrete operational descriptions.

powerty

23 2m

Mathematics

SAT-Math-9: Graphing Linear Equations Quickly

This lesson teaches students how to sketch and read linear graphs efficiently on the coordinate plane using the y-intercept and slope, minimizing dependencies on slow point-by-point plotting methods.

powerty

26 2m

Mathematics

SAT-Math-8: Point-Slope Form and Standard Form

This lesson covers two alternative linear equation formats—Point-Slope Form and Standard Form—teaching students how to use them to write equations from data points and how to extract information quickly.

powerty

24 2m

Mathematics

SAT-Math-7: Slope-Intercept Form in Depth

This lesson explores the most high-yield linear equation format on the SAT: Slope-Intercept Form. Students will learn how to instantly extract the slope and y-intercept from the equation, rewrite equations into this form, and decode its components.

powerty

29 2m

Mathematics

SAT-Math-6: Calculating Slope ($m = \frac{y_2 - y_1}{x_2 - x_1}$) from Two Points

This lesson teaches students how to use the formal slope formula to calculate the slope of a line when given any two coordinate points, handling negative coordinate traps, and recognizing special cases.

powerty

26 2m

Mathematics

SAT-Math-5: The Concept of Slope: Steepness and Direction

This lesson introduces the geometric and practical concept of slope, exploring how it measures the steepness and direction of a line on the coordinate plane, and how to identify positive, negative, zero, and undefined slopes at a glance.

powerty

27 2m

Mathematics

SAT-Math-4: Understanding Absolute Value Equations

This lesson covers the geometric and algebraic definition of absolute value, how to solve absolute value equations systematically, and how to identify equations that have no solution.

powerty

30 2m

Mathematics

SAT-Math-3: Setting Up Linear Equations from Word Problems

This lesson teaches students how to accurately translate English word problems into mathematical equations by identifying key operational keywords, defining variables, and structuring equations using real-world rate models.

powerty

24 3m