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...
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...
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
Perimeter and Area
Students calculate the perimeter and area of given figures and lengths.
Noyce Foundation
Between the Lines
Explore linear and square dimensions by comparing areas of similar figures. A creative set of five activities designed for elementary through high school classes asks young scholars to compare areas of specific polygons. The first two...
Curated OER
Similarity of Length, Area, and Volume
In this similarity worksheet, students determine the length, area and volume of similar figures. This three-page worksheet contains explanations, examples, and 20 problems. Answers are provided on page three.
Curated OER
Similar Triangles and Proportions
Pupils investigate similar triangles and proportions as they make conjectures about the length of sides of similar triangles. For this lesson, have your class construct similar triangles using Cabri Jr so that they share a common vertex.
Curated OER
Math-Geometry: Area and Perimeter
Upper graders measure the area and perimeter of several items. In this area and perimeter instructional activity, learners engage in measuring area and perimeter in several scenarios. Full-group instruction requires students to listen to...
Curated OER
Similarity
In this similarity worksheet, 9th graders solve and complete 6 different types of problems. First, they complete the statement in the box shown. Then, students determine whether they agree or disagree with the statement and given...
Curated OER
Chapter 8 Extra Problems Worksheet: Similar Triangles
In this similar triangles worksheet, students solve 6 similar triangles. Students use proportions to solve similar triangles and similar rectangles.
Curated OER
Investigating Area and Perimeter of Polygons.
Student sinvestigate the area and perimeter of polygons. They differentiate between similar and congruent polygons.. They identify the ratio and proportions of the sides and angles of polygons.
Curated OER
Similar Figures
In this similar figures worksheet, students identify corresponding sides and corresponding angles of given polygons. They identify similar figures. This three-page worksheet contains 18 problems.
Curated OER
Similarity
Students find the factor of proportionality in similar polygons. In this similarity of polygons lesson plan, students measure the sides and angles of polygons and derive a factor of proportionality between corresponding pairs of sides...
Balanced Assessment
Square and Circle
To determine the dimensional change to quadruple the area, class members determine how to increase the dimensions of a square and a circle to increase the perimeter by a given factor. they then calculate the necessary factor to...
Curated OER
Geometry: Calculating the Area of a Circle
In this area worksheet, students use the perimeter or radius to determine the area of a circle. This one-page worksheet contains 8 problems. This worksheet may be produced in printed form. Answers may be viewed on-line.
Curated OER
Surface Area and Volume of Similar Solids
Students explore similar figures. In this surface area and volume lesson, students identify the relationship between the surface area and volume of similar figures.
Curated OER
Review Geometry - Week 8 (Triangles)
For this triangle worksheet, students use similar figures to find the length of one side of two similar triangles. They find the area of a triangle inscribed in a rectangle. This two-page worksheet contains eight problems.
Curated OER
Ratio of Perimeter and Area
In this similar figures activity, students complete a chart calculating the perimeter and area of four rectangles and then compare the ratios. There are 4 questions.
Mathed Up!
Enlargements
Make enlargements with and without centers. Pupils work through seven problems dealing with dilations or enlargements. The first couple items are strict enlargements without centers, while the others have centers. Class members also...
National Council of Teachers of Mathematics
Scale Factor
Does doubling mean everything doubles? Learners adjust the scale factor between two rectangles. Using the calculated measurements, pupils investigate the ratios between the lengths, perimeters, and areas of the rectangles.
Curated OER
Surface Area and Volume
Students are introduced to the notion of surface area and volume, learn the terminology used with surface area and volume and have experimented with the surface area and volume of different prisms.
Helping with Math
Geometry: Areas of Triangles
For this areas of triangles instructional activity, students observe given polygons. They determine the area of triangles, rectangles and compound figures. This one-page instructional activity contains 5 multi-step problems. This...
Discovery Education
Discovering Math: Exploring Geometry
Apply geometric properties and formulae for surface area and volume by constructing a three-dimensional model of a city. Learners use similar and congruent figures and transformations to create a city of at least 10 buildings. They trade...