Curated OER
Super Size It, Please!
Pupils take photos from a given distance and determine the height of the person using a scale factor. Pupils calculate the ratio of student actual height to student photo height. They take pictures from 3 different distances to see if...
Curated OER
Dilations and Similarity
In this dilations and similarity instructional activity, pupils solve 10 different problems that include various dilations. First, they determine the scale factor of dilations found in the illustrated graphs. Then, everyone determines...
Curated OER
Geometry Worksheet 9.5: Rotational Symmetry
In this rotational symmetry worksheet, students solve 14 short answer and graphing problems. Students identify the order and magnitude of given figures. Students find the scale factor of a dilation given a graph.
EngageNY
Examples of Dilations
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...
Balanced Assessment
Ostrich and Seahorse
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...
Bowland
In or Out? ... What's Your Decision?
Young mathematicians use photos and video clips to determine if a cricket player is "in" or "out." This analysis occurs using scale factors, distance-rate-time formula, and consideration of precision and accuracy.
Noyce Foundation
Surrounded and Covered
What effect does changing the perimeter have on the area of a figure? The five problems in the resource explore this question at various grade levels. Elementary problems focus on the perimeter of rectangles and irregular figures with...
Illustrative Mathematics
Floor Plan
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...
EngageNY
How Do Dilations Map Lines, Rays, and Circles?
Applying a learned technique to a new type of problem is an important skill in mathematics. The lesson asks scholars to apply their understanding to analyze dilations of different figures. They make conjectures and conclusions to...
PBS
The Planets of the Solar System
Launch a lesson that's sure to capture middle schoolers' interest! Exploration enthusiasts examine the planets of our solar system using an activity from PBS's Space series. The resource includes images and information for each planet,...
Teach Engineering
An Inflated Impression of Mars
Help your class understand the magnitude of the distance between Earth and Mars with an activity that asks small groups to use balloons to create scale models of the Earth, Moon, and Mars. Class members figure out the distances between...
Illustrative Mathematics
Dilating a Line
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...
CK-12 Foundation
Area and Volume of Similar Solids: Similar Solids
Five questions make up an interactive designed to boosts knowledge of area and volume of solid figures. Question types include multiple-choice, true or false, and fill-in-the-blank. A scale model changes measurement to provide a visual...
Flipped Math
Unit 6 Review: Similar Figures
After a short review of the material from the Similar Figures Unit, pupils work through 18 problems to further practice the skills from the unit. Scholars apply those skills in the application problems at the end of the review.
Illustrative Mathematics
Box of Clay
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 physical models...
EngageNY
How Do Dilations Map Angles?
The key to understanding is making connections. Scholars explore angle dilations using properties of parallel lines. At completion, pupils prove that angles of a dilation preserve their original measure.
Curated OER
Perimeter
Have your class practice finding the perimeter of several given shapes. This slide show includes a definition and example of how to find perimeter along with several practice problems for the class to solve.
EngageNY
Mid-Module Assessment Task: Grade 8 Module 3
How well does the class understand dilations? The three-part assessment presents problems related to the properties of dilations. Pupils perform dilations and determine whether a dilation is responsible for a specific image.
Illustrative Mathematics
Sand Under the Swing Set
Help the local elementary school fix their playground by calculating the amount of sand needed near the swing set. The problem practices setting up proportions and ratios with three different options for solving. You can chose the option...
Curated OER
Similar Polygons
In this similar polygons worksheet, students identify the corresponding sides of polygons. They use proportions to solve problems. Students determine the scale factor of similar figures. This two-page worksheet contains diagrams and...
Curated OER
Using the Distance Formula
In this distance formula worksheet, students solve and complete 30 various types of problems. First, they find the exact distance between each pair of points and make a sketch of the situation. Then, students find the center, horizontal...
Curated OER
Dilations with Matrices
Math whizzes explore dilations. They use matrices to perform dilations centered at the origins of triangles and investigate the effect of scale factor on the size relationship between the pre-image and the image of a polygon. A link to...
Curated OER
Leveled Problem Solving Scale Drawings and Models
In this scale drawings worksheet, 5th graders learn to solve measurement problems using scale drawings and models for the six word problems.
Noyce Foundation
Which is Bigger?
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.