Curated OER
Finding Area of Similar Figures
Students explore the concept of finding area of similar figures. In this finding area of similar figures instructional activity, students use pattern blocks to construct similar figures. Students trace their construction and find the...
Curated OER
Finding Volume of Similar Figures
Upper elementary and middle schoolers examine the Volumes of Similar Figures. They investigate the relationship between corresponding sides and evaluate the volume of similar figures. Pupils record their findings on various activity...
Mathed Up!
Similar Shapes
Similar shapes are all about the scale. Given seven problems, pupils use scale factors to determine measurements within similar shapes. While solving the problem, scholars also determine whether two figures are similar and use area and...
EngageNY
The Scaling Principle for Area
As they investigate scaling figures and calculate the resulting areas, groups determine the area of similar figures. They continue to investigate the results when the vertical and horizontal scales are not equal.
Curated OER
Similar Polygons
In this similar polygons worksheet, 10th graders solve 10 different problems that include determining various similar polygons. First, they determine the perimeter of a second triangle given the measures of all angles in the first. Then,...
Curated OER
Similar Triangles and Trapezoids, and Circles
High schoolers answer two problems involving area of shaded regions. Students then answers six questions involving perimeter, area, and circumferences. The remaining two questions involve ratios of similar figures.
Curated OER
Similar Figures
In this geometry worksheet students explore similar polygons and determine measure of missing sides and angles. Students use indirect measurement with similar triangles and determine the area and volume of similar figures. The seven page...
Curated OER
Exploring Similarity Using Scale Drawings
Learners explore scale factor as they create a scale drawing of a box, then determine the surface area and volume of the original and the scale drawing. The one page worksheet contains activities and procedures with four questions.
Curated OER
Perimeter and Area of Similar Figures
Students determine the relationship between perimeter, circumference, area, surface area, and/or volume of similar figures and their parts. They complete activities related to the question. Answer key included.
Houghton Mifflin Harcourt
Similar Polygons and Circles
In these similar polygons and circles worksheets, students complete 15 questions including 9 word problems regarding similar polygons. Students then complete 15 questions including 1 word problem involving circumference, area, and arc...
Curated OER
Similar Figures
In this similar figures activity, students determine area and perimeter of rectangles and triangles, then explain their thinking. Answers included on page 2.
Mathed Up!
Area of Sector and Length of Arcs
Viewers learn how to apply proportional reasoning to find area of sectors and arc lengths with a video that starts off explaining how to find the areas of circle sectors and the lengths of arcs. Scholars then practice solving problems...
Curated OER
Area, Perimeter and Rations Using Pentominoes
Learners of all ages investigate area and perimeter through pentominoes. In this geometry lesson, students calculate the are and perimeter of different geometric shapes and describe the properties of similar and congruent shapes. This...
Curated OER
Transforming Congruent Figures: Post Test
In this transformations worksheet, learners complete multiple choice questions about the transformations of congruent figures. They complete 10 problems.
Curated OER
Perimeter and Area of Similar Figures
Students explore the relationships between similar figures. In this relationships between similar figures lesson, students discuss relationships between perimeter, circumference, area, surface area, and volume of similar figures through...
Curated OER
Ratios of Similar Figures
Students identify the ratios of different triangles. In this geometry lesson plan, students identify the similarity and differences of triangles. They use the navigator to move the sides of the triangle around.
Radford University
2 and 3 Dimensional Shapes
Take a similar approach to three dimensions. Pupils develop the relationship between areas of similar objects and see how they relate to the ratio of the sides. Building upon area formulas, small groups put together volume formulas for...
Balanced Assessment
Multi-Figures
Apply concepts of scale and ratio to determine relationships in irregular figures. Learners determine the ratio of the perimeters of two figures composed of rectangles and circles. After, they apply similar concepts to find the ratio of...
CK-12 Foundation
Area and Volume of Similar Solids: Similar Solids
Five questions make up an interactive designed to boosts knowledge of area and volume of solid figures. Question types include multiple-choice, true or false, and fill-in-the-blank. A scale model changes measurement to provide a visual...
Willow Tree
Area of Common Geometric Figures
Scholars can use area formulas, but can they apply what they know about area? The activity challenges learners to think logically while practicing finding area of shapes such as rectangles, circles, parallelograms, triangles, and other...
Curated OER
The Square Counting Shortcut
An excellent lesson that encourages students to discover how complex figures can be broken into simpler shapes when measuring area. Working with block letters, learners are given the freedom to develop their own strategies for...
Virginia Department of Education
Similar Solids and Proportional Reasoning
Double the dimensions, quadruple the surface area. Pairs build similar prisms and compare the ratios of their surface areas and volumes to the ratio of the heights. Given two similar cones, partners determine the ratios of the lateral...
Arizona Department of Education
Area and Perimeter of Regular and Irregular Polygons
Extend young mathematicians' understanding of area with a geometry lesson on trapezoids. Building on their prior knowledge of rectangles and triangles, students learn how to calculate the area of trapezoids and other irregular...
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.