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Assessment
Inside Mathematics

Hopewell Geometry

For Teachers 9th - 12th Standards
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...
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Unit Plan
Bowland

In or Out? ... What's Your Decision?

For Teachers 6th - 9th
Young mathematicians use photos and video clips to determine if a cricket player is "in" or "out." This analysis occurs using scale factors, distance-rate-time formula, and consideration of precision and accuracy.
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Lesson Plan
EngageNY

Matrix Notation Encompasses New Transformations!

For Teachers 11th - 12th Standards
Class members make a real connection to matrices in the 25th part of a series of 32 by looking at the identity matrix and making the connection to the multiplicative identity in the real numbers. Pupils explore different matrices and...
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Assessment
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Balanced Assessment

Modern Building

For Students 9th - 12th Standards
Turn your pupils into emerging architects with a resource that asks learners to analyze a scale drawing of a building. They use the scale drawing to interpret the size of the actual building before recreating the drawing using a...
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Assessment
Balanced Assessment

How Big is Big?

For Students 6th - 8th
Now you can create your own monster movie. Learners estimate the size of a scale model monster given comparison statements and analyze these estimates to determine if the scale model accurately portrays a lizard.
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Lesson Plan
California Mathematics Project

Model Solar System

For Students 9th - 12th Standards
The sun's diameter is 864,337 miles—challenge learners to create a scale model of the solar system that fits in your classroom. Scholars make conversions and work with scientific notation as they create the scale model. 
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Activity
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Teach Engineering

Using Map Scales to Figure Distances and Areas

For Teachers 6th - 8th Standards
The asteroid is getting closer and the question is whether the state of Alabraska is large enough for the shelter calculated in the previous activity. Teams determine the scale of their project and then use the scale on the map to...
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Assessment
Mathematics Assessment Project

Photographs

For Teachers 6th - 8th Standards
Picture your pupils using this assessment task. Class members must first determine the measurements of smaller copies of photographs placed next to the original. They then determine the dimensions of the entire sheet of photographs.
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Activity
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Teach Engineering

An Inflated Impression of Mars

For Teachers 6th - 8th Standards
Help your class understand the magnitude of the distance between Earth and Mars with an activity that asks small groups to use balloons to create scale models of the Earth, Moon, and Mars. Class members figure out the distances between...
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Lesson Plan
Journey Through the Universe

A Scale Model Solar System

For Teachers 9th - 12th Standards
Between the time scientists discovered Pluto and reclassified it as a dwarf planet, it did not even make one full revolution around the sun. In two activities, scholars investigate scale models and their properties. Pupils find that it...
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Lesson Plan
EngageNY

How Do Dilations Map Angles?

For Students 9th - 10th Standards
The key to understanding is making connections. Scholars explore angle dilations using properties of parallel lines. At completion, pupils prove that angles of a dilation preserve their original measure. 
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Lesson Plan
EngageNY

Making Scale Drawings Using the Parallel Method

For Students 9th - 10th Standards
How many ways can you create a dilation? Many! Individuals strengthen their understanding of dilations by using various methods to create them. The new technique builds on pupils' understanding of the ratio method. Using the ratio,...
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Lesson Plan
EngageNY

Scale Drawings

For Students 9th - 10th Standards
Are you searching for a purpose for geometric constructions? Use an engaging approach to explore dilations. Scholars create dilations using a construction method of their choice. As they build their constructed dilation, they strengthen...
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Assessment
EngageNY

Mid-Module Assessment Task - Geometry (Module 2)

For Students 9th - 10th Standards
Challenge: create an assessment that features higher level thinking from beginning to end. A ready-made test assesses knowledge of dilations using performance tasks. Every question requires a developed written response. 
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Lesson Plan
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EngageNY

Dilations from Different Centers

For Students 9th - 10th Standards
Can you follow a composition of transformations, or better yet construct them? Young mathematicians analyze the composition of dilations, examining both the scale factor and centers of dilations. They discover relationships for both and...
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Lesson Plan
EngageNY

How Do Dilations Map Lines, Rays, and Circles?

For Students 9th - 10th Standards
Applying a learned technique to a new type of problem is an important skill in mathematics. The lesson asks scholars to apply their understanding to analyze dilations of different figures. They make conjectures and conclusions to...
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Lesson Plan
EngageNY

Scale Factors

For Students 9th - 10th Standards
Is it bigger, or is it smaller—or maybe it's the same size? Individuals learn to describe enlargements and reductions and quantify the result. Lesson five in the series connects the creation of a dilated image to the result. Pupils...
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Lesson Plan
EngageNY

Making Scale Drawings Using the Ratio Method

For Students 9th - 10th Standards
Is that drawn to scale? Capture the artistry of geometry using the ratio method to create dilations. Mathematicians use a center and ratio to create a scaled drawing. They then use a ruler and protractor to verify measurements. 
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Lesson Plan
EngageNY

How Do Dilations Map Segments?

For Students 9th - 10th Standards
Do you view proofs as an essential geometric skill? The resource builds on an understanding of dilations by proving the Dilation Theorem of Segments. Pupils learn to question and verify rather than make assumptions. 
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Lesson Plan
EngageNY

Comparing the Ratio Method with the Parallel Method

For Students 9th - 10th Standards
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,...
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Worksheet
Skills Workshop

Ratio, Scale, and Proportion

For Students 6th - 8th Standards
Converting units is an excellent example of how math relates to our everyday tasks. The resource prompts mathematicians to use baking, cooking, and other daily activities to discover how to make larger quantities of each ratio or recipe.
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Unit Plan
Massachusetts Department of Education

Similarity through Transformations

For Teachers 9th - 12th Standards
Create the ultimate miniature golf course. The 93-page model curriculum unit from the Massachusetts Department of Elementary and Secondary Education contains nine lessons on understanding similarity in terms of both Euclidean geometry...
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Activity
Indian Institute of Technology

Could King Kong Exist?

For Teachers 9th - 12th Standards
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...
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Lesson Plan
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Illustrative Mathematics

Running Around a Track I

For Teachers 7th - 11th Standards
The accuracy required by the design and measurement of an Olympic running track will surprise track stars and couch potatoes alike. Given a short introduction, the class then scaffolds into a detailed analysis of the exact nature of the...