National Council of Teachers of Mathematics
Nctm: Illuminations: Circle Area
Explore what the relationship the radius has to the area of a circle. Click the instructions to learn how to use this interactive resource and select"Exploration" for more ideas.
CK-12 Foundation
Ck 12: Geometry: Area and Volume of Similar Solids
[Free Registration/Login may be required to access all resource tools.] In this lesson students find the ratios of the surface areas and the volumes of similar solids. Students examine guided notes, review guided practice, watch...
University of Regina (Canada)
University of Regina: Math Central: Surface Area to Volume Ratio
Students will investigate the relationship between surface area and volume and their application to the inner workings of real life organisms.
National Council of Teachers of Mathematics
Nctm: Illuminations: Scale Factor
The interactive applet allows learners to explore the relationships between side length, area, and perimeter. Students see how changes in the scale factor influence the ratio of areas and perimeters. [Requires Java.]
PBS
Pbs: Real World Ratio and Rate Reasoning: How to Power the Skate Park
The CyberSquad works with area to figure out how to power a skate park using solar panels in this interactive from WNET. In the accompanying classroom activity, students view and analyze a series of video clips from Cyberchase and...
CK-12 Foundation
Ck 12: Geometry: Area and Volume of Similar Solids
[Free Registration/Login may be required to access all resource tools.] This concept teaches students to use ratios between similar solids to solve for missing information. Students examine guided notes, review guided practice, watch...
CK-12 Foundation
Ck 12: Geometry: Area and Perimeter of Similar Polygons
[Free Registration/Login may be required to access all resource tools.] This concept teaches students to find area and perimeter of similar polygons using ratios. Students examine guided notes, review guided practice, watch instructional...
Sophia Learning
Sophia: Finding a Formula for the Surface Area of a Cone
This video tutorial demonstrates how to find the formula for the surface area of a cone.
University of Waterloo (Canada)
Centre for Education in Mathematics and Computing: Ratio and Rate [Pdf]
Learners explore the concepts of rate and ratio in a variety of problem-solving situations. Worksheets contain definitions and visual representations of concepts. Link to related ratio game. Other skills include measurement, data...
Illustrative Mathematics
Illustrative Mathematics: G Mg Hexagonal Pattern of Beehives
Beehives are made of walls, each of the same size, enclosing small hexagonal cells where honey and pollen are stored and bees are raised. This problem examines some of the mathematical advantages of the hexagonal tiling in a beehive....
National Council of Teachers of Mathematics
Nctm: Illuminations: Scale Factor
Use this applet to investigate how changes in the scale factor influence the ratio of perimeters and the ratio of areas between two figures.
CK-12 Foundation
Ck 12: Geometry: Area and Perimeter of Similar Polygons
[Free Registration/Login may be required to access all resource tools.] In this lesson students find the ratios of the perimeters and areas of similar polygons. Students examine guided notes, review guided practice, watch instructional...
TeachEngineering
Teach Engineering: A Chance at Monte Carlo
At its core, the LEGO MINDSTORMS product provides a programmable microprocessor. Students use the EV3 processor to simulate an experiment involving thousands of uniformly random points placed within a unit square. Using the underlying...
Texas Instruments
Texas Instruments: Above and Beyond
In this Computer Algebra System (CAS) activity, students create a general solution for calculating the ratio of the areas above and below a curve.
Texas Instruments
Texas Instruments: An Investigation in Calculus Using the Ti 92
In this activity, students create a general solution for calculating the ratio of the areas above and below a curve.
Other
Desmos: Tile Pile
Students explore proportional relationships in this activity as they build a ratio table in order to project how many tiles would be needed to cover the area of a floor.
Discovery Education
Discovery Education: Architects in Action
Through this instructional activity, middle schoolers will learn how to use ratios to create a scale drawing of their classroom's floor plan. It provides adaptations, discussion questions, assessment rubric, and suggested readings to...
CK-12 Foundation
Ck 12: Interactive Geometry: 9.6 Density Problems
Density is a ratio of the mass/people/things to volume/area. Given the density and one of the two quantities in the ratio, solve for the other quantity in the ratio.
Alabama Learning Exchange
Alex: Circling Around
Students will calculate the diameter, circumference, and ratio of a real world object. Students will create an electronic slideshow to illustrate the process of determining the diameter, circumference, and ratio of these objects.
Texas Instruments
Texas Instruments: Circle Around
In this activity, students compute the circumference and area of circles. They understand that the ratio of the circumference to the diameter is a value called pi. [Requires Adobe Reader.]
Illustrative Mathematics
Illustrative Mathematics: 6.rp Converting Square Units
In this task, 6th graders must inches to feet in order to find the area of a rectangular board and explain the error in the calculations made by the board owner. Aligns with 6.RP.A.3.
Illustrative Mathematics
Illustrative Mathematics: 6.g Painting a Barn
This task asks students to determine the area of the exterior walls of a barn and to calculate how many gallons of paint would be needed to cover them, as well as the cost of the paint. Aligns with 6.G.A and 6.RP.A.3.
Texas Instruments
Texas Instruments: Math Today Wing Tabs Save Fuel
Using the USA TODAY Infograph, 'Wing tabs save fuel', ratios and proportions will be used to explore the concept of similarity between a drawing/model and the actual dimensions. The effects of dilation (size change) on an image and...
Math Open Reference
Math Open Reference: Similar Polygons and Triangles
A complete reference guide to similar triangles and polygons. It provides definitions and interactive activities that enhance further explanation.