Assessment
Mathed Up!

Area of Sector and Length of Arcs

For Students 9th - 12th Standards
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...
Lesson Plan
Willow Tree

Area of Common Geometric Figures

For Students 8th - 11th Standards
Scholars can use area formulas, but can they apply what they know about area? The lesson challenges learners to think logically while practicing finding area of shapes such as rectangles, circles, parallelograms, triangles, and other...
Lesson Plan
EngageNY

The Scaling Principle for Area

For Teachers 9th - 10th Standards
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. 
Worksheet
Curated OER

Similar Triangles and Trapezoids, and Circles

For Students 9th - 12th
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.
Lesson Plan
EngageNY

Proving the Area of a Disk

For Teachers 9th - 10th Standards
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...
Assessment
Mathed Up!

Similar Shapes

For Students 8th - 11th Standards
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...
Worksheet
Curated OER

Similar Figures

For Students 10th
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...
Worksheet
Curated OER

Similar Polygons

For Students 10th
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,...
Activity
Noyce Foundation

Between the Lines

For Students K - 12th Standards
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...
Assessment
1
1
Balanced Assessment

Multi-Figures

For Students 9th - 12th Standards
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...
Assessment
Mathematics Assessment Project

Sports Bag

For Teachers 6th - 8th Standards
Why not give surface area of cylinders a sporting chance in your classroom? A strategic problem-solving task requires pupils to consider the net of a cylinder. Individuals must determine the sizes of the pieces needed to make a...
Interactive
Curated OER

Transforming Congruent Figures: Post Test

For Students 6th - 8th
In this transformations worksheet, learners complete multiple choice questions about the transformations of congruent figures. They complete 10 problems.
Lesson Plan
Curated OER

The Square Counting Shortcut

For Teachers 2nd - 4th Standards
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...
Lesson Plan
Curated OER

Exploring Similarity Using Scale Drawings

For Teachers 10th
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....
Assessment
EngageNY

End-of-Module Assessment Task: Grade 7 Mathematics Module 6

For Students 7th Standards
Determine the level of understanding within your classes using a summative assessment. As the final lesson in a 29-part module, the goal is to assess the topics addressed during the unit. Concepts range from linear angle relationships,...
Worksheet
Curated OER

Geometry: Calculating the Area of a Circle

For Students 7th - 9th
In this area instructional activity, students use the perimeter or radius to determine the area of a circle. This one-page instructional activity contains 8 problems. This instructional activity may be produced in printed form. Answers...
Worksheet
Helping with Math

Geometry: Areas of Triangles

For Students 7th - 9th Standards
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...
Worksheet
Curated OER

Similar Figures

For Students 4th - 5th
In this similar figures worksheet, students determine area and perimeter of rectangles and triangles, then explain their thinking. Answers included on page 2.
Worksheet
Houghton Mifflin Harcourt

Similar Polygons and Circles

For Students 9th - 12th
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...
Assessment
1
1
Balanced Assessment

Square and Circle

For Students 9th - 12th Standards
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...
Lesson Plan
1
1
EngageNY

Definition and Properties of Volume

For Teachers 9th - 10th Standards
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. 
Lesson Plan
Virginia Department of Education

Similar Solids and Proportional Reasoning

For Teachers 9th - 11th
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...
Worksheet
Curated OER

Similarity of Length, Area, and Volume

For Students 9th - 11th
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.
Lesson Plan
EngageNY

Law of Cosines

For Teachers 11th - 12th Standards
Build upon the Pythagorean Theorem with the Law of Cosines. The 10th part of a 16-part series introduces the Law of Cosines. Class members use the the geometric representation of the Pythagorean Theorem to develop a proof of the Law of...