Curated OER
Understanding Proportions and Scale Drawings
Proportions are ratios found using multiplication or division. Middle schoolers solve measurement problems, find a figure's missing dimension, and find the distance between two points. Resource features four lesson plans with detailed...
Curated OER
Learning Ratios and Proportions Through Scale Drawings
Middle and high schoolers explore the concept of scale drawings. They discuss what a scale is and that scales provide a ratio. Pupils construct a scale drawing of their classroom using graph paper.
Curated OER
Scale Drawing: Insulating an Attic
Have your aspiring contractors compute the length of two walls in a compound-shaped attic when given a scale drawing of it and the other dimensions. They find the area, determine the number of rolls of insulation they will need to...
Curated OER
Scale Drawing: Insulating Another Attic
Give your future household repair specialists a real-life chance to apply the concepts of ratio and proportion. Using a scale drawing, they calculate the missing dimensions of two walls of a compound-shaped attic. They then figure how...
Curated OER
Scale Drawing: Perimeter and Area of a Room
Using a scale drawing with some dimensions missing, aspiring do-it-yourself homeowners calculate the remaining sides of a compound-shaped room. They apply the principles of ratio and proportion to determine how much crown molding will be...
EngageNY
Relating Scale Drawings to Ratios and Rates
Enlargements and reductions are all about scale. The instructional activity introduces scale drawing to the class. Pupils determine whether the drawing is a reduction or an enlargement, and the constant of proportionality between the...
EngageNY
An Exercise in Creating a Scale Drawing
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...
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
Computing Actual Areas from a Scale Drawing
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...
Curated OER
Scale/Ratio
Investigate the use of ratios in scale drawings. Learners scale objects up or down using ratios then find the actual size of something using ratios. They apply their knowledge of ratios as they make their own telescopes in science...
Curated OER
Applying Proportionality in Scale Drawings
Sixth graders examine a blue print and discuss the reasoning behind using blue prints. In this proportionality lesson, students collaborate with their teammates to create a scale drawing. Once that is complete, 6th graders write a...
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
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
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.
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
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...
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...
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...
University of Nottingham
Drawing to Scale: A Garden
See how design and geometry go hand in hand. The activity asks learners to use geometry to design a backyard garden given dimensions of each feature. Scholars work with ratios and scale to develop an accurate scale drawing that includes...
Curated OER
A Proportional Fish Story
In this proportions worksheet, students identify and complete 8 different problems that include using proportions to build scale models of various animals. First, they use the scale to complete the chart and draw lines representing the...
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.
Curated OER
Scale Drawings
Young scholars discuss the importance of scaling drawings. In this math lesson, students create a scaled drawing of circuit boards. They explain why accuracy is very important when scaling.
Curated OER
Set Design
Young scholars explore proportional reasoning. In this middle school mathematics instructional activity students investigate scale drawings as they create a proportional representation for the carvings on Mt. Rushmore.
Curated OER
House Project
Make young mathematicians' dreams a reality with this fun drawing project. Given the task of designing their dream home, students create drawings and physical models that demonstrate their understanding of proportion and scale.