Equations of a Line
Students write the equation of a line when given the graph, two points on the line, or the slope and a point on the line. The lesson format is teacher lecture, guided instruction, and independent practice.
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Proving Slope Criteria for Parallel & Perpendicular Lines
This lesson launches with learners graphing the fourth vertex of a given rectangle, and finding the length and slope of one of its sides; and ends with learners writing a summary sheet for parallel and perpendicular lines. In between,...
7th - 11th Math CCSS: Designed
Equations for Tangent Lines to Circles
Don't go off on a tangent while writing equations of tangent lines! Scholars determine the equations for tangent lines to circles. They attempt both concrete and abstract examples, such as a tangent line to the unit circle through (p, 0).
9th - 12th Math CCSS: Designed
Every Line is a Graph of a Linear Equation
Challenge the class to determine the equation of a line. The 21st part in a 33-part series begins with a proof that every line is a graph of a linear equation. Pupils use that information to find the slope-intercept form of the equation...
8th Math CCSS: Designed
Using Linear Equations to Define Geometric Solids
Making the transition from two-dimensional shapes to three-dimensional solids can be difficult for many geometry students. This comprehensive Common Core lesson starts with writing and graphing linear equations to define a bounded region...
9th - 11th Math CCSS: Designed
Solving Systems of Linear Equations
Solving systems of equations underpins much of advanced algebra, especially linear algebra. Developing an intuition for the kinds and descriptions of solutions is key for success in those later courses. This intuition is exactly what...
8th - 9th Math CCSS: Adaptable
Writing Equations for Parallel Lines
Acquaint your class with the concept of parallel lines. Learners watch a PowerPoint presentation about how to write equations of parallel lines. Their understanding of linear equations and slope is taken a step further by the exercises...
8th - 11th Math CCSS: Designed