Lesson Plan
EngageNY

The Unit Rate as the Scale Factor

For Teachers 7th Standards
Discover the scale factor by finding the constant of proportionality. Pupils investigate drawings to determine whether the distances are proportional. The activity defines the scale factor as the constant of proportionality, or unit...
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

The Scale Factor as a Percent for a Scale Drawing

For Teachers 7th Standards
Scholars build upon their knowledge of scale drawings by using percents to represent the scale factor. Individuals work with scaling in vertical, horizontal, and both directions.
Lesson Plan
EngageNY

Computing Actual Lengths from a Scale Drawing

For Teachers 7th Standards
Class members take scale drawings and examine scales to determine distances in the actual objects. Pupils convert the scales of different units to scale factors that can be used in proportional equations.
Lesson Plan
EngageNY

Computing Actual Areas from a Scale Drawing

For Teachers 7th Standards
Square the scale factor when working with scaled drawings and area. The 19th lesson in a series of 22 introduces calculating actual areas from scale drawings. The lesson encourages pupils to use the square of the scale factor to find the...
Lesson Plan
EngageNY

An Exercise in Changing Scales

For Teachers 7th Standards
Classmates create a scale drawing from another scale drawing, changing the scale in the process. Groups enlarge or reduce the scale of the drawing and discuss their processes.
Lesson Plan
EngageNY

An Exercise in Changing Scales 2

For Teachers 7th Standards
Reflect on altering scale factors. The last lesson in the series of 22 has the class compare the two scale drawings they created. They realize that the scale drawing becomes a scale drawing of each other. Class members continue to work...
Lesson Plan
EngageNY

Relating Scale Drawings to Ratios and Rates

For Teachers 7th Standards
Enlargements and reductions are all about scale. The lesson introduces scale drawing to the class. Pupils determine whether the drawing is a reduction or an enlargement, and the constant of proportionality between the original and the...
Interactive
PBS

Map a Model Solar System

For Students 6th - 8th Standards
Creating a solar system map is a snap thanks to a hands-on activity! Science scholars explore the solar system by building it wherever they choose during an interactive from PBS's Space series. Users pick both the location and scale for...
Activity
Under the Dome

Sphero Draw and Drive

For Students 7th Standards
Determine how far the ball rolled. The class watches a video of a person controlling a sphere rolling on the floor. Pupils develop some questions about the video and make estimates to the solutions of the questions. The teacher provides...
Lesson Plan
Benjamin Banneker Association

Celebrate Benjamin Banneker

For Teachers K - 12th Standards
Inventor, astronomer, surveyor, mathematician, clock maker. Learners celebrate the life of Benjamin Banneker by building creative analog clocks, making scale models, and solving problems related to surveying. The activities model the...
Lesson Plan
Curated OER

How Big is Barbie?

For Teachers 9th - 12th
Students measure various dimensions of a male and a female dolls body and scale them proportionally to average human measurements. They calculate the appropriate scale factor (magnitude) to enlarge their doll and apply that scale factor...
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...
Lesson Plan
EngageNY

More About Similar Triangles

For Teachers 8th Standards
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...
Performance
Radford University

Coal Silo Design Task

For Teachers 9th - 12th Standards
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...
Lesson Plan
Curated OER

Properties of Fractals

For Teachers 6th - 8th
Students build a working definition of a regular fractal, they measure the concepts of dimensions and scale, they explore the concept of a logarithm and they attempt to solve simple exponential equations for the exponent both by trial...