Assessment
Mathed Up!

Negative Scale Factor

For Students 9th - 12th
Class members investigate the effect of a negative scale factor dilation on coordinate shapes as they watch a short video that shows an example of a geometric figure undergoing a dilation with a negative scale factor. Learners then try a...
Lesson Plan
EngageNY

Changing Scales

For Teachers 7th Standards
Pupils determine scale factors from one figure to another and the scale factor in the reverse direction. Scholars compute the percent changes between three figures. 
Lesson Plan
EngageNY

Solving Area Problems Using Scale Drawings

For Teachers 7th Standards
Calculate the areas of scale drawings until a more efficient method emerges. Pupils find the relationship between the scale factor of a scale drawing and the scale of the areas. They determine the scale of the areas is the square of the...
Lesson Plan
EngageNY

Computing Actual Lengths from a Scale Drawing

For Teachers 7th Standards
The original drawing is eight units — how big is the scale drawing? Classmates determine the scale percent between a scale drawing and an object to calculate the length of a portion of the object. They use the percent equation to find...
Lesson Plan
EngageNY

An Exercise in Creating a Scale Drawing

For Teachers 7th Standards
Design your dream classroom. The lesson plan contains an exercise to have teams create a scale drawing of their dream classroom. Pairs take the measurements of their classroom and furniture and create a scale factor for them. To finish...
Assessment
1
1
Balanced Assessment

Scale Charts

For Students 9th - 12th Standards
Develop scales using tables. Pupils complete charts to show equivalent scale factors before using the completed tables to determine the sizes of scale drawings. They finish the lesson and demonstrate their understanding by completing a...
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...
Lesson Plan
EngageNY

Scaling Principle for Volumes

For Teachers 9th - 10th Standards
Review the principles of scaling areas and draws a comparison to scaling volumes with a third dimensional measurement. The exercises continue with what happens to the volume if the dimensions are not multiplied by the same...
Lesson Plan
EngageNY

Examples of Dilations

For Teachers 8th Standards
Does it matter how many points to dilate? The resource presents problems of dilating curved figures. Class members find out that not only do they need to dilate several points but the points need to be distributed about the entire curve...
Lesson Plan
EngageNY

Dilations on the Coordinate Plane

For Teachers 8th Standards
Dilations from the origin have a multiplicative effect on the coordinates of a point. Pupils use the method of finding the image of a point on a ray after a dilation to find a short cut. Classmates determine the short cut of being...
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.
Lesson Plan
EngageNY

Fundamental Theorem of Similarity (FTS)

For Teachers 8th Standards
How do dilated line segments relate? Lead the class in an activity to determine the relationship between line segments and their dilated images. In the fourth section in a unit of 16, pupils discover the dilated line...
Assessment
1
1
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...
Assessment
1
1
Balanced Assessment

House Plan

For Students 9th - 12th Standards
A short assessment has individuals determine the scale of a house plan. They use the scale to calculate the size of a door and window that need to be replaced, and then divide a bedroom in two, calculating the size of rooms created.
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. 
Assessment
EngageNY

End-of-Module Assessment Task: Grade 7 Mathematics Module 4

For Students 7th Standards
Asses the class to determine their knowledge of proportional relationships involving percents. Class members work through the nine-question assessment with a variety of percent problems. The multi-step problems involve simple interest,...
Assessment
1
1
Balanced Assessment

Ostrich and Seahorse

For Students 9th - 12th Standards
Examine the relationship between ratios and scale. Young math scholars compare ratios of two models. They use the ratios to make a comparison between the two models. Each image uses a different scale, which requires learners to think...
Lesson Plan
Illustrative Mathematics

Floor Plan

For Teachers 7th - 9th Standards
A multi-step problem has learners finding the actual area based on a scale drawing and then converting units at the end. Two different solution choices are listed depending on the preference on which step to start first. Both methods can...
Assessment9:05
Mathed Up!

Enlargements

For Students 8th - 11th Standards
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...
Activity
Illustrative Mathematics

Box of Clay

For Teachers 5th - 7th Standards
What happens to a volume when you scale the dimensions of a rectangular prism? In this problem, a box of clay is increased in each dimension, with the intent to see if learners can generalize the result. The addition of...
Assessment
Noyce Foundation

Which is Bigger?

For Teachers 6th - 7th Standards
To take the longest path, go around—or was that go over? Class members measure scale drawings of a cylindrical vase to find the height and diameter. They calculate the actual height and circumference and determine which is larger.  
Lesson Plan
EngageNY

What Lies Behind “Same Shape”?

For Teachers 8th Standards
Develop a more precise definition of similar. The lesson begins with an informal definition of similar figures and develops the need to be more precise. The class learns about dilations and uses that knowledge to arrive at a...
Assessment
1
1
CCSS Math Activities

Smarter Balanced Sample Items: 7th Grade Math – Target E

For Teachers 7th Standards
How well do your classes understand scale? You'll certainly know after they answer the set of eight questions from an informative and helpful presentation. Questions include items from coordinate geometry, similar triangles, and scale...
Activity
Illustrative Mathematics

Dilating a Line

For Teachers 9th - 12th Standards
High School geometers verify through experimentation certain properties about dilations. This multi-step problem challenges them to construct examples of dilations to verify specific facts, the final step provides an opportunity to more...

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