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

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...
Lesson Plan
Journey Through the Universe

The Voyage Scale Model Solar System

For Teachers 9th - 12th Standards
Young scientists learn how to select a scale factor for a large scale model. Then they figure the scale for each of the planets and the distance between them. Finally, they construct a giant scale model of the solar system and answer...
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

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 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

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 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
Curated OER

Scale Factor Area Perimeter

For Teachers 9th - 12th Standards
Mathematicians compare triangles at different scales. In this geometry lesson, students calculate the area and perimeter of triangles. They use the Ti to make observation of the change that takes place as the triangles are dilated.
Lesson Plan
Curated OER

Geometry: Area, Scale Factor, Circumference

For Teachers 5th - 8th
In this geometry worksheet, students solve 10 problems regarding area, scale factors, and circumference. Students, in 3 of the problems, are given the circumference and asked to work backwards to find missing information.
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...
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
Curated OER

Measure: Bearings and Scale Drawings

For Teachers 5th - 7th
Young mathematicians practice measuring acurately with a protractor. They convert measurements using a scale factor, then translate the new information into diagrams. This lesson should be a hit in that it's mostly hands-on work with the...
Lesson Plan
EngageNY

Relating Scale Drawings to Ratios and Rates

For Teachers 7th Standards
Enlargements and reductions are all about scale. The 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 original and the...
Lesson Plan
Curated OER

Solve for Scale Factors Using Proportions

For Teachers 8th
Eighth graders solve problems using proportions with scaled drawings. They work with maps and blue-prints discussing scales and plans and examine different polygons and figure out the scale factors or proportions they have been changed by.
Lesson Plan
Curated OER

Scale factors: Ratios and Proportions

For Teachers 8th - 11th
Students create building and models using scale factors. In this geometry lesson, students apply the properties of ratio and proportion to solve problems. They identify the means and extremes property of cross multiplication.
Lesson Plan
Illustrative Mathematics

How Many Leaves on a Tree?

For Teachers 9th - 12th Standards
This is great go-to activity for those spring or fall days when the weather beckons your geometry class outside. Learners start with a small tree, devising strategies to accurately estimate the leaf count. They must then tackle the...
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...
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...
Lesson Plan
Curated OER

Exploring Similarity Using Scale Drawings

For Teachers 10th
Learners explore scale factor as they create a scale drawing of a box, then determine the surface area and volume of the original and the scale drawing. The one page worksheet contains activities and procedures with four questions....
Lesson Plan
Curated OER

Drawing to Scale

For Teachers 3rd - 5th
Students examine the process of drawing a picture to scale. They analyze and discuss real-life blueprints for a house, and create a scale drawing of an original invention using calculators and rulers.
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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