EngageNY
Families of Parallel Lines and the Circumference of the Earth
How do you fit a tape measure around the Earth? No need if you know a little geometry! Pupils begin by extending their understanding of the Side Splitter Theorem to a transversal cut by parallel lines. Once they identify the proportional...
Curated OER
Parallel and Perpendicular Lines and Lines of Symmetry: Rhombus Shadowing
Fifth graders demonstrate different types of lines using movement. In this line and movement lesson, 5th graders demonstrate parallel and perpendicular lines, and lines of symmetry using dance movement. They also demonstrate rhombus...
Virginia Department of Education
Lines and Angles
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...
Curated OER
Parallel and Perpendicular Lines
Tenth graders explore parallel and perpendicular lines. In this geometry lesson, 10th graders investigate the relationships associated with parallel lines and transversals, perpendicular lines, and the angles formed by these lines. ...
Curated OER
Introduction to Parallel Lines in Euclidean Space and in Spherical Space
Eighth graders are introduced to the basic concepts of Geometry and their definitions in Euclidean space. They draw and define the following terms: point, line, and line segment. Students also define the terms colliner and...
EngageNY
First Consequences of FTS
Challenge the young mathematicians to find the exact coordinates of a dilated point. The fifth segment in a 16-part series introduces the class to the converse of the Fundamental Theorem of Similarity. Scholars use the theorem to find...
Curated OER
Angles and Parallel Lines
Sixth graders draw parallel and intersecting lines to observe and examine the characteristics of alternate interior angles, vertical angles, corresponding angles, and supplementary angles. Through observation, they discover the...
EngageNY
Nature of Solutions of a System of Linear Equations
If at first you cannot graph, substitute. The lesson introduces the substitution method as a way to solve linear systems if the point of intersection is hard to determine from a graph. The 28th installment of a 33-part series finishes...
02 x 02 Worksheets
Slope
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...
Curated OER
2-D and 3-D Presents at Pedro's Party
Fifth graders draw 2-D and 3-D shapes. They sketch and label geometric figures with correct terminology, then explore parallel and perpendicular lines. Pupils sort and classify shapes drawn.
Curated OER
Lines, Rays, and Angles
Third graders read "Pigs on the Ball" by Amy Axelrod and discuss the geometry concepts presented in the book. They use Twizzler sticks and pipe cleaners to represent lines, rays and angles.
EngageNY
Informal Proofs of Properties of Dilations
Challenge the class to prove that the dilation properties always hold. The lesson develops an informal proof of the properties of dilations through a discussion. Two of the proofs are verified with each class member performing the...
Curated OER
Angle Pairs
Eighth graders are introduced to the vocabulary associated with angles. They experiment with vertical angles, alternate interior angles, alternate exterior angles, and corresponding angles. They determine angle pair relationships when...
Curated OER
Shake It Up with Scatterplots
Students identify how to use a scatterplot to compare two sets of data to determine if they are related. Then they identify and describe the definition of regression line (the "line of best fit"). Students also identify how scientists...
Curated OER
Right Triangles
Learners classify triangles and make connections regarding angle measurements and attributes of acute, right, and obtuse triangles. They listen to teacher define and explain triangles. Everyone imagines a place where a broken wing for a...
Curated OER
Lines and Angles
Students explore Geometry with Twizzlers Candy, pipe cleaners, paper, pencils, and protractors. They manipulate these items to create different angles introduced by the teacher.
Curated OER
Triangle Exploration
Students are introduced to The Geometer's Sketchpad software while in the computer lab. They focus on triangles, horizontal lines, vertex and top parallel lines. Each student utilizes geometry to complete basic geometric constructions.
Curated OER
Introduction to Slope
Learners distinguish between positive and negative slope. They calculate the slope of various lines. Students identify and generate perpendicular and parallel lines base on their slope.
Curated OER
Angle Pairs
Students identify different angle pairs. In this geometry instructional activity, students identify the different angles of two parallel lines cut by a transversal. They identify the interior and exterior angles.
EngageNY
Informal Proof of AA Criterion for Similarity
What does it take to show two triangles are similar? The 11th segment in a series of 16 introduces the AA Criterion for Similarity. A discussion provides an informal proof of the theorem. Exercises and problems require scholars to apply...
Curated OER
Angle Action 1,2 and 3
Students investigate angles through construction. In this geometry lesson, students use a protractor to identify the measurement of an angle. They identify angles cut by a transversal and two parallel lines.
Curated OER
Exploring Geometric Patterns and Relationships
Sixth graders explore different geographic relationships in like drawing lines, rays, and parallelograms. This lesson could be used for review because it covers more than one concept. The students should have prior knowledge.
Curated OER
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.
West Contra Costa Unified School District
Investigating Similar Triangles
Let your use of the resource be in proportion to its usefulness. Pupils investigate similar triangles by measuring side lengths and considering given angle measures. The results of the investigation help develop generalizations about...