Lesson Plan
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Illustrative Mathematics

The Geometry of Letters

For Teachers 3rd - 5th Standards
Use the alphabet as a tool for teaching your class about geometric figures. Break apart capital letters into line segments and arcs. Classify angles as right, acute, or obtuse. Identify parallel and perpendicular lines. An excellent...
Lesson Plan
Curated OER

Perpendicular Lines

For Teachers 3rd - 6th
In this perpendicular lines practice worksheet, students find and list examples of perpendicular lines at home, at school, and outside.
Lesson Plan
EngageNY

Parallel and Perpendicular Lines

For Students 9th - 12th Standards
Use what you know about parallel and perpendicular lines to write equations! Learners take an equation of a line and write an equation of a line that is parallel or perpendicular using slope criteria. They then solve problems to...
Worksheet
Curated OER

Parallel and Perpendicular Lines

For Students 9th - 10th
For this algebra/geometry worksheet, students investigate the slopes and equations of parallel and perpendicular lines.  The two page worksheet contains a combination of eleven multiple choice and free response questions. ...
Worksheet
Curated OER

Parallel and Perpendicular Lines

For Students 9th - 11th
In this Algebra I/Algebra II/Geometry worksheet, students examine the slopes of parallel and perpendicular lines and the relationship to the equation of the line. The four page worksheet contains explanation of topic, worked examples,...
Lesson Plan
Curated OER

Points, Lines, Planes, and Space

For Teachers 9th - 12th
In this points, lines, planes, and space worksheet, high schoolers solve word problems dealing with points, lines, planes, and space. Students complete 20 individual problems and 20 group problems.
Lesson Plan
EngageNY

Criterion for Perpendicularity

For Students 9th - 12th Standards
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...
Lesson Plan
EngageNY

Motion Along a Line – Search Robots Again

For Students 9th - 12th Standards
We can mathematically model the path of a robot. Learners use parametric equations to find the location of a robot at a given time. They compare the paths of multiple robots looking for parallel and perpendicular relationships and...
Worksheet
Math Mammoth

Parallel & Perpendicular Lines

For Students 4th
In this geometry learning exercise, 4th graders list the lines that are parallel or perpendicular to each other. Then they mark with one color the line segments that are parallel and another color those that are perpendicular.
Handout
McGraw Hill

Lines and Angles

For Students 4th - 7th Standards
Why was the obtuse angle upset? Because it was never right! A valuable resource is loaded with background information on types of angles and lines. Learners review the characteristics of parallel, perpendicular, and...
Worksheet
Curated OER

Parallel and Perpendicular Lines

For Students 10th - 12th
In this parallel and perpendicular lines learning exercise, students find the slope of a line. They identify the slope of a line parallel to another line or find the slope of a line that is perpendicular to a given line. This one-page...
Worksheet
Curated OER

Parallel and Perpendicular Lines

For Students 10th - 11th
In this parallel and perpendicular lines worksheet, students identify the slope of a line that is either parallel to a line or perpendicular to the given line. This one-page worksheet contains ten linear problems.
Lesson Plan
EngageNY

The Distance from a Point to a Line

For Students 9th - 12th Standards
What is the fastest way to get from point A to line l? A straight perpendicular line! Learners use what they have learned in the previous lessons in this series and develop a formula for finding the shortest distance from...
Lesson Plan
02 x 02 Worksheets

Slope

For Teachers 9th - 11th Standards
What does slope have to do with lines? Pupils work with lines and determine the slope of the lines informally and with the slope formula. Groups use their knowledge to calculate the slopes of parallel and perpendicular lines. They also...
Lesson Plan
EngageNY

Equations for Lines Using Normal Segments

For Students 9th - 12th Standards
Describing a line using an algebraic equation is an essential skill in mathematics. The previous instructional activity in the series challenged learners to determine if segments are perpendicular with a formula. Now they use the...
Worksheet
Curated OER

Geometry: Parallel and Perpendicular Lines

For Students 8th - 11th Standards
This basic handout would be good for skills practice or a review of parallel and perpendicular lines. Review the definitions, then practice writing equations of lines that pass through a specific point and are either parallel or...
Worksheet
Curated OER

Points, Lines, and Line Segments - Homework 16.1

For Students 4th - 5th
In this geometry learning exercise, learners complete a homework assignment in which they name 3 lines and line segments. They write parallel, intersecting, or perpendicular, to describe the relationships between 4 pairs of lines. They...
Worksheet
Curated OER

Construct, Bisect, Duplicate: Geometry Practice with Compass and Straight Edge

For Students 9th - 12th
Geometers employ a straight edge and compass to duplicate and bisect segments and angles, construct perpendiculars, parallel lines, figures, and circles with points of concurrency. Ample practice with 65 questions across 8 worksheets. No...
Lesson Plan
EngageNY

Equations for Tangent Lines to Circles

For Teachers 9th - 12th Standards
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...
Lesson Plan
EngageNY

Designing a Search Robot to Find a Beacon

For Students 9th - 12th Standards
Build right angles using coordinate geometry! Pupils explore the concept of slope related to perpendicular lines by examining 90-degree rotations of right triangles. Learners determine the slope of the hypotenuse becomes the opposite...
Worksheet
Curated OER

Diagnostic Test: Angles & Parallel Lines

For Students 9th - 11th
For this diagnostic test worksheet, students solve problems involving angles, parallel lines, and perpendicular lines. They identify alternate interior angles, alternate exterior angles, and corresponding angles. Students find the...
Worksheet
Curated OER

Points, Lines, Segments, Rays, and Angles

For Students 5th
In this geometry worksheet, 5th graders label the two figures shown. Worksheet reviews and provides examples of a point, parallel lines, angles, rays, line segments, and perpendicular lines.
Worksheet
Curated OER

Geometry Lines and Angles

For Students 10th
In this lines and angles instructional activity, 10th graders solve and complete types of problems that include different line segments and angles to identify. First, they determine whether each line is parallel, skew, or perpendicular...
Lesson Plan
Virginia Department of Education

Constructions

For Teachers 9th - 11th Standards
Pupils learn the steps for basic constructions using a straightedge, a compass, and a pencil. Pairs develop the skills to copy a segment and an angle, bisect a segment and an angle, and construct parallel and perpendicular lines.