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Journey Through the Universe
The Voyage Scale Model Solar System
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...
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
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...
Illustrative Mathematics
How Many Leaves on a Tree?
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...
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
The Scaling Principle for Area
As they investigate scaling figures and calculate the resulting areas, groups determine the area of similar figures. They continue to investigate the results when the vertical and horizontal scales are not equal.
Curated OER
How Big is Barbie?
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...
EngageNY
Properties of Dilations
Investigate dilations to learn more about them. The second segment in a series of 16 provides a discussion of properties of dilations by going through examples. The problem set provides opportunities for scholars to construct dilations.
Radford University
Coal Silo Design Task
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...
Illustrative Mathematics
Grass Seedlings
Plants never grow at the same rate, and that is the antithesis for this word problem involving multiplication of fractions. On the instructional activity, Raul notices that Pablo's seedlings are 1 1/2 times as tall, and Celina's...
Virginia Department of Education
Transformations
The coordinate plane is a popular place! Identify rotations, reflections, and dilations on the coordinate plane. Pupils work in small groups to match transformations of a figure with the description of the transformation....
Virginia Department of Education
Similar Solids and Proportional Reasoning
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...
Curated OER
Properties of Fractals
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...
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
Curated OER
Exploring Ecosystems
Fourth graders investigate ecosystems. In this ecosystem lesson, 4th graders explore producers, consumers, and decomposers and study the interdependence of each.