Curated OER
Similar or Not?
Fifth graders define the meaning of similar and congruent using concrete objects. They make similar and congruent figures using geoboards. They draw their figures on dot paper, and color their designs.
Curated OER
Investigating Trigonometric Ratios Through Similar Right Triangles
Students identify similar and congruent right triangles. In this geometry lesson, students use trigonometric ratios to identify missing sides and angles of a triangle. They differentiate similar and congruent triangles.
Curated OER
Geography: Lengths, Perimeter, and Area of Similar Objects
Sixth graders explore characteristics of similar objects. Using attribute blocks, they explore the ratios of the perimeter, area and side length in similar shapes. They calculate and compare the area of shapes.
Curated OER
Fractals Teachers' Notes
When you see a flower or a tree in nature do you see the math? This web resource contains many ideas for using fractals in a math class including Sierpinski’s triangle, Koch's Snowflake, and the Jurassic Park Fractal. Additionally, it...
Curated OER
Geometry History Lesson
Tenth graders investigate the early history of geometry. In this geometry instructional activity, 10th graders investigate translations, rotations, and reflections. They also solve problems with line of symmetry and rotational symmetry...
Curated OER
CSI Investigation of Congruence and Similarity
Students differentiate between similarity and congruence using polygons. In this geometry lesson, students label triangles based on their properties. They find missing sides and angles using the interior sum theorem.
Curated OER
Proportional Similarities
Pupils model the geometric relationship with graphing. In this geometry lesson, students differentiate between parallel, perpendicular, similar and congruent shapes. They use properties of polygons to differentiate their shapes correctly.
EngageNY
Proving the Area of a Disk
Using a similar process from the first lesson in the series of finding area approximations, a measurement resource develops the proof of the area of a circle. The problem set contains a derivation of the proof of the circumference formula.
EngageNY
Definition and Properties of Volume
Lead a discussion on the similarities between the properties of area and the properties of volume. Using upper and lower approximations, pupils arrive at the formula for the volume of a general cylinder.
Curated OER
Investigation-Looking at Polygons
Eighth graders plot points and investigate polygons. They locate a point, using ordered pairs of integers on the coordinate plane. Students compare geometric measurements and computations on coordinate axes as they are applied to...
Curated OER
Using the Web to Explore Shapes
Third graders research the Internet to locate geometric designs in familiar buildings. They review shapes, solids, angles and symmetry as they research websites of familiar buildings in Louisville. They record the information they see...
Curated OER
Plane and Solid Figures
Students define a plane and a solid shape. In this geometry lesson, students compare and contrast different geometric shapes as they relate to solids. They name the geometric solids based on their sides and edges.
Curated OER
Tennis Triangle
Students calculate the height of a tree or flagpole. They measure the shadow of the tree or flagpole and the length of a shadow of a meterstick. Using similar triangles, calculate the heigh. Devise two additional ways in which to measure...
Curated OER
Ratio Relationships
Students solve for the different ratio and proportion of a problem. In this geometry instructional activity, students show their knowledge of how to solve proportional relationships. They convert between percent, decimals and fractions.
Curated OER
Primary Geometry
Students identity simple geometric shapes. For this early geometry lesson, the teacher introduces students to triangles, squares, and rectangles, then students identify and classify the shapes as they are found in the classroom. To...
Curated OER
Similarity and Congruence
Students determine that two figures are similar or congruent by
investigating figures that are similar and figures that are congruent. They prove that two figures are similar or congruent by using definitions,
postulates, and theorems.
Virginia Department of Education
Transformations
The coordinate plane is a popular place! Identify rotations, reflections, and dilations on the coordinate plane. Pupils work in small groups to match transformations of a figure with the description of the transformation. They perform...
Curated OER
Probability and Geometry
Students explore the ways Geometry can help solve probability problems. Students describe platonic solids and practice calculating probability using an online resource. They construct dice with various numbers of sides to demonstrate...
Mathematics Assessment Project
Solving Problems with Circles and Triangles
After completing a task involving examining the ratio of areas of triangles and circles in a given figure, scholars examine sample responses to identify other strategies they could use to solve the problem.
Curated OER
Geometry, Measurement & Reasoning
Students complete worksheets involving rotational symmetry. In this geometry lesson plan, students complete worksheets to identify rotational symmetry and rotations. They compare and contrast rotated figures. Students examine the...
Curated OER
Investigating Trigonometric Ratios Through Similar Right Triangles.
49Students investigate the properties of right triangles. In this geometry lesson, students differentiate between similar and congruent triangles. They use the Pythagorean Theorem to find the missing angles and sides.
Illustrative Mathematics
Why Does SSS Work?
While it may seem incredibly obvious to the geometry student that congruent sides make congruent triangles, the proving of this by definition actually takes a bit of work. This exercise steps the class through this kind of proof by...
Curated OER
Plain Figures and Measuring Figures
Students investigate basic geometric concepts. For this geometry lesson, students explore solids through measuring and modeling. This assignment models the importance of understanding concrete objects in geometry.
Curated OER
Triangles & Congruence, Proportions & Similarity, Right Triangle & Trigonometry
Young scholars are introduced to the topic of congruence and proportions in Geometry. Using technology, they construct and validate the properties of various geometric figures and identify whether it is congruent or proportion to the...