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...
Curated OER
Dilation
Tenth graders identidy and define various geometry terms, Students create exact replicas of a shape that is either smaller or larger than the original shape. Students prove that their entire shapes are larger or smaller in the same...
Noyce Foundation
Photographs
Scaling needs to be picture perfect. Pupils use proportional reasoning to find the missing dimension of a photo. Class members determine the sizes of paper needed for two configurations of pictures in the short assessment task.
Curated OER
Simplifying Ratios
In this simplifying ratios worksheet, 10th graders solve and complete 24 various types of problems. First, they complete each ratio and reduce when necessary. Then, students find the length and width of each rectangle described. They...
Indian Institute of Technology
Could King Kong Exist?
The title says it all: Could King Kong exist? Investigate how increasing the dimensions of an object affects its surface area and volume to mathematically conclude whether a creature with the weight and height of King Kong could actually...
EngageNY
Comparing the Ratio Method with the Parallel Method
Can you prove it? Lead your class through the development of the Side Splitter Theorem through proofs. Individuals connect the ratio and parallel method of dilation through an exploration of two proofs. After completing the proofs,...
Inside Mathematics
Hopewell Geometry
The Hopewell people of the central Ohio Valley used right triangles in the construction of earthworks. Pupils use the Pythagorean Theorem to determine missing dimensions of right triangles used by the Hopewell people. The assessment task...
Chicago Botanic Garden
What Can Tree Rings Tell Us About Climate?
Tree rings are slightly thicker on the south side of the tree because it receives more sunlight. Part two in a series of five lessons helps learners analyze tree rings to determine the environmental conditions that caused size...
Curated OER
Corresponding Parts of Similar Triangles
Here is a lesson that has learners take a look at corresponding parts of similar triangles, ratios of similarity, reductions and enlargements. They'll manipulate the scale factor (r) to observe the changes in similar triangles and then...
Curated OER
The Distance Formula and Marching Nonviolently for Social Change
Students explore the distance formula using real world data from nonviolent marches for social change. In this secondary mathematics lesson, students investigate the marches of Gandhi and King using maps overlaid with a coordinate...
EngageNY
Modeling Using Similarity
How do you find the lengths of items that cannot be directly measured? The 13th installment in a series of 16 has pupils use the similarity content learned in an earlier resource to solve real-world problems. Class members determine...
EngageNY
More About Similar Triangles
Determine whether two triangles are similar. The lesson presents opportunities for pupils to find the criterion needed to show that two triangles are similar. Scholars use the definition of similarity to find any missing side...
Curated OER
Proportionality: The X-Plane Generation
Students meet NASA researchers who describe the relationship between force, energy and motion. They discuss how NASA's experimental X-plane is being tested to make space travel more reliable and show how proportionality and ratios are...
Curated OER
Designing Kites
Sixth graders sketch their own kites by creating a scale drawing of an original design. In this designing kites lesson, 6th graders draw a rough sketch, then accurately draw their design on large paper with a ruler, measuring...
Virginia Department of Education
Dilation
Open up your pupils' eyes and minds on dilations. Scholars perform dilations on a trapezoid on the coordinate plane. They compare the image to the preimage and develop generalizations about dilations.
Curated OER
Exploring Similar Polygons
In this exploring similar polygons worksheet, 10th graders solve 9 various problems that are related to similar polygons. First, they define similar and the symbol used to identify similar to another. Then, students find the measurement...
Curated OER
Andromeda's Scale
Students perform a classroom activity of measuring the angular size of something from several distances. On the Internet, they obtain and examine images with various magnification factors and estimate the angular size of Andromeda.
Radford University
Coal Silo Design Task
The coal is mined. Now what? Scholars design a coal silo that stores mined earth using at least two different three-dimensional shapes. They calculate the volume, determine the amount of mined earth produced in a day, and find the amount...
Curated OER
Similarity
Eighth graders understand that proportional enlargement of shapes doesn't change the angles of those shapes. For this similarity lesson, 8th graders complete exercises to create enlargements of shapes and understand similar shapes.
National Nanotechnology Infrastructure Network
Mixtures and Nanotechnology
What does size have to do with it? Learners analyze different mixtures, both homogeneous and heterogeneous, to discover the properties related to the size of their particles. The activity connects these properties to those of...
Curated OER
Building My Dream House
Students create their dream house using a spreadsheet for measurements. In this measurements and drawings lesson, students apply concepts of units and conversions as they build and create different shapes. They use Google Sketch-up...
CK-12 Foundation
CK-12 Middle School Math Concepts - Grade 6
Twelve chapters cover a multitude of math concepts found in the Common Core standards for sixth grade. Each title provides a brief explanation of what you will find inside the chapter—concepts from which you can click on and learn more...
Curated OER
Layering the Air
Students study the layer of the atmosphere. In this lesson on the atmosphere, students discuss the composition of the air around us and how the atmosphere was formed. Students create a scale model of the layers of the atmosphere.
Curated OER
Leonardo Lives
Students investigate the concepts of force and motion. They describe how motion is created by force. Also students define a simple machine and the factors of application to creating force or motion. They analyze the plans of Leonardo De...