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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...
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Worksheet
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Curated OER

Lines of Symmetry, Shapes and Symbols

For Students 3rd - 5th Standards
Which shapes are symmetrical? Third graders decide which shapes have lines of symmetry, and which shapes are not symmetrical. They work on 13 shapes and symbols, four of which have lines already drawn through them. Use this resource to...
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Lesson Plan
Curated OER

Points, Lines, Planes, and Space

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

Tangent Lines and the Tangent Function

For Teachers 11th - 12th Standards
Construct tangent lines and make the connection to tangent functions. An informative lesson reviews the geometry origins of the tangent function. Pupils use that information to determine how to construct a tangent to a circle from a...
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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 (p, 0).
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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...
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Worksheet
Mathster

Line and Rotational Symmetry

For Students 4th - 8th Standards
Challenge young mathematicians' understanding of symmetry. Provided with images of different shapes, letters, and national flags, students are tasked with identifying the lines of symmetry and order of rotational symmetry associated with...
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Curated OER

Easy Worksheet: Equations of Lines

For Students 9th - 12th
The class solves 4 short answer problems. They write the equation of a line parallel to a given line passing through a point. Graph paper may be needed.
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Worksheet
Curated OER

Geometry Lines and Angles

For Students 10th
In this lines and angles worksheet, 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 in the diagram...
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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 intersecting lines,...
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Lesson Plan
Virginia Department of Education

Lines and Angles

For Teachers 9th - 11th Standards
Explore angle relationships associated with transversals. Pupils construct parallel lines with a transversal and find the measures of the angles formed. They figure out how the different angles are related before constructing...
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Worksheet
Curated OER

Semester 1 Review for Geometry final

For Students 10th
In this geometry worksheet, 10th graders solve problems that are based on the topics covered in a first semester geometry class, including, linear equations and the equations of parallel and perpendicular lines, the logic of geometry,...
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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.
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Worksheet
Curated OER

Trace a Line of Symmetry

For Students 3rd - 4th
In this lines of symmetry worksheet, young math whizzes analyze pictures of eight common objects and draw a line of symmetry for each.
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Worksheet
Curated OER

Parallel Lines

For Students 7th - 8th
Based on two sets of parallel lines intersected by a transversal, your young geometers determine the measures of 10 angles by applying the definitions of vertical, corresponding, alternate interior, and alternate exterior angles. When...
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Lesson Plan
National Council of Teachers of Mathematics

Stitching Quilts into Coordinate Geometry

For Students 8th - 11th Standards
Who knew quilting would be so mathematical? Introduce linear equations and graphing while working with the lines of pre-designed quilts. Use the parts of the design to calculate the slope of the linear segments. The project comes with...
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Lesson Plan
Curated OER

Parallel Lines in Everyday Life

For Teachers 3rd - 6th
For this identifying parallel lines worksheet, young scholars discover examples of parallel lines at school, home, and outside and list them on a chart. Students write at least 10 short answers.
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Worksheet
Curated OER

Are the Dotted Lines, Lines of Symmetry?

For Students 3rd - 5th
Here is a geometry skills practice instructional activity in which learners respond to eight questions that require them to identify lines of symmetry.
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Worksheet
Curated OER

Quiz: Angles with Parallel Lines

For Students 7th - 8th
Middle schoolers identify all pairs of angles formed from parallel lines and a transversal. They use the definitions of alternate interior, alternate exterior and corresponding angles to determine the value of given angles. This one-page...
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Worksheet
Curated OER

Is This a Line of Symmetry?

For Students 4th - 6th
Here is a geometry skills practice instructional activity in which learners respond to six questions that require them to identify images that have symmetry.
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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...
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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 a point to a...
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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 lesson in the series challenged learners to determine if segments are perpendicular with a formula. Now they use the formula to determine...
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Lesson Plan
EngageNY

Lines That Pass Through Regions

For Students 9th - 12th Standards
Good things happen when algebra and geometry get together! Continue the exploration of coordinate geometry in the third lesson in the series. Pupils explore linear equations and describe the points of intersection with a given polygon as...

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