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EngageNY
Relating Scale Drawings to Ratios and Rates
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...
Balanced Assessment
L to Scale
Explore the meaning of scale in relation to actual size through this activity. Young mathematicians examine scale models and determine their relationship to each other. They also find perimeter and area of each model.
EngageNY
Making Scale Drawings Using the Ratio Method
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.
EngageNY
Scaling Principle for Volumes
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...
EngageNY
Computing Actual Lengths from a Scale Drawing
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.
EngageNY
The Unit Rate as the Scale Factor
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...
EngageNY
Scale Drawings
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...
EngageNY
An Exercise in Changing Scales
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.
EngageNY
Changing Scales
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.
EngageNY
Solving Area Problems Using Scale Drawings
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...
EngageNY
Computing Actual Lengths from a Scale Drawing
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...
Balanced Assessment
Scale Charts
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...
Under the Dome
Sphero Draw and Drive
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...
Union County Vocational Technical Schools
Engineering Drawing
Knowing the basics of drafting allows individuals to create drawings that show all the views and measurements necessary to allow others to visualize the original object. Pupils gain experience by drawing three orthographic views of...
EngageNY
Scale Factors
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...
Teach Engineering
Seeing All Sides: Orthographic Drawing
How can your draw three-dimensional figures on paper? The lesson shows pupils how to draw orthographic projections of three-dimensional figures composed of cubes. After viewing a PowerPoint presentation, they practice this skill with...
EngageNY
Computing Actual Areas from a Scale Drawing
Square the scale factor when working with scaled drawings and area. The 19th instructional activity in a series of 22 introduces calculating actual areas from scale drawings. The instructional activity encourages pupils to use the square...
Utah Education Network (UEN)
Ch 5: Geometry I–Scale Drawings, Geometric Figures
Scale up your lessons on geometry and ask learners to investigate conditions on triangles, scale drawings, the area and circumference of circles, and angle relationships. The resource includes activities and a homework assignment.
Balanced Assessment
Modern Building
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...
EngageNY
Making Scale Drawings Using the Parallel Method
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,...
Corbett Maths
Loci Part 3
How do you use a scale drawing to find the region in a lake where a treasure is located? The narrator of a short video problem identifies three criteria to determine the location of the treasure. Using a compass and ruler, he determines...
EngageNY
An Exercise in Changing Scales 2
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...
EngageNY
The Scale Factor as a Percent for a Scale Drawing
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.
Radford University
How to Build a Happy Home
Build a complete house in just a few days. Learners create floor, roof, deck, and landscape plans for a two-story house. Scholars then use their knowledge of area formulas, trigonometric ratios, and the Pythagorean Theorem to determine...