EngageNY
Criterion for Perpendicularity
The Pythagorean Theorem is a geometry pupil's best friend! Learners explain the equation a1b1 + a2b2 = 0 for perpendicular segments using the Pythagorean Theorem. They are able to identify perpendicular segments using their endpoints and...
Curated OER
Integrated Algebra
In this integrated algebra worksheet, students solve problems covering topics studied during the year. Problems include topics such as slope-intercept, Venn Diagrams, finding the solution to multi-step algebra problems, writing...
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Lines in the Coordinate Plane
Students graph lines in a coordinate plane. For this geometry lesson, students graph lines on a coordinate plane, and identify the slope. They classify the lines as parallel or perpendicular and write an equation of a given line.
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Standard Form of a Linear Equation
In this Algebra I/Algebra II worksheet, students examine the equation of a line in standard form to determine the slope and y-intercept and determine the missing coordinate of an ordered pair. The one page worksheet contains eight...
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Slope
In this slope worksheet, students solve and complete 3 different types of problems. First, they find the slopes of the lines passing through each sets of coordinate pairs. Then, students find the parameter so that the line passing...
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Lines
In this Algebra I/Algebra II worksheet, students determine the slope of a line, write the equation of a line, examine parallel and perpendicular lines, and solve problems involving linear relationships. The two page worksheet contains...
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Integration: Geometry, Parallel and Perpendicular Lines
In this math worksheet, students write linear equations in slope-intercept form that passes through the given point. On the last 8 equations, students write the equation of the perpendicular line.
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Equations of Lines
Students define slope, and practice finding the slope of lines through given points. They determine the angle of inclination. Students find the relationship between the slope and the tangent of the lines. Students determine special...
Illustrative Mathematics
A Midpoint Miracle
Young geometers develop one of the fundamental properties of quadrilaterals (connecting side midpoints gives a parallelogram) in this short but thought-provoking exercise. Using a combination of hands-on techniques and abstract algebraic...
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Linear Functions
In this linear function learning exercise, students write the equation of a line, identify the slope, distance and midpoints. This one-page learning exercise contains seven problems. Answers are provided at the bottom of the page.
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Applications of Properties of Quadrilaterals in the Coordinate Plane
Young scholars explore the concept of quadrilaterals. In this quadrilaterals lesson, students use the slope formula, midpoint formula, and distance formula to justify that a given quadrilateral is a parallelogram.
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Algebra II Test Sections 2.4
In this algebra learning exercise, students identify the slope of a line, solve algebraic equations with absolute value, and identify the domain and range of given functions. This three-page learning exercise contains 21 problems.
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Special Segments in Triangles
In this special segments in triangles worksheet, 10th graders solve 6 various types of problems related to determining types of segments found in triangles. First, they find a segment if the line parallel is a median or an altitude....
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Writing and Graphing Linear Equations on a Flat Surface
In this linear equations worksheet, students write the equation of a line with given characteristics. They identify the slope of a line and the y-intercept. Explanations and examples are provided at the beginning of the worksheet. This...
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Equation of a Line
In this equation of a line learning exercise, 9th graders solve and complete 7 different problems. First, they find all values of the constant k, if the line contains the given points. Then, students write an equation of the line which...
Radford University
Ancient Aqueduct Analysis Project
Let the class' knowledge of geometry flow like water in an aqueduct. Future mathematicians research ancient Roman aqueducts and consider the geometric concepts necessary in their construction. They then use GeoGebra to create models of...
Curated OER
Skills Review Sheet: Equations
Learners find the equation that passes through two given points. They then locate the intersection of two lines, and find the x and y intercepts for four parabolas when given their equations. Answers are provided.
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Investigating Segments in a Triangle
Pupils investigate segments in a triangle by constructing a triangle using Cabri Jr. They construct segments within the triangle that lie on the midpoints of the triangle's sides. Learners then compare the slope of base of the triangle...
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Quick Graphs of Linear Equations
Graph equations of lines using the slope-intercept method or by plotting both x and y intercepts. Determine if two lines are parallel or perpendicular by comparing their slopes. This handout includes step-by-step directions and four...
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Connecting Algebra and Geometry Through Coordinates
This unit on connecting algebra and geometry covers a number of topics including worksheets on the distance formula, finding the perimeter and area of polynomials, the slope formula, parallel and perpendicular lines, parallelograms,...
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Graphing Solutions
In this graphing solutions worksheet, 9th graders solve 13 various types of problems. First, they find the solution of each systems by graphing on the coordinate plane provided. Then, students solve each systems of equations...
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Do These Systems Meet Your Expectations
This lesson is all about systems of equations and their graphs. Algebra learners create and solve systems of equation using tables and graphing. They identify the point of intersection of a system of equation, and discover what the...
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Linear Inequalities - Parallelogram Problem
Students use the Geometer's Sketchpad to illustrate possible answers to a parallelogram problem. As a class, they discuss the point-slope and linear equation forms. Individually, students solve their equations and check the results on...
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Graphing Inequalities
Young scholars graph linear equations and then find the person in class whose linear equation graph is perpendicular to theirs. In this graphing inequalities lesson plan, students graph their perpendicular slopes and then once their find...