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...
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...
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...
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.
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.
Fun Music Company
Writing Major Scales
Designed as an assessment of understanding, this one-page worksheet asks musicians to demonstrate their understanding of scales by drawing C, G, and F Major scales on the provided staffs.
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...
Journey Through the Universe
Voyage of Discovery
Did you know that Pluto is smaller than the United States of America? It is difficult to conceptualize the size of planets and the distance between them, and the activity addresses those exact issues. After a discussion, pupils create...
Curated OER
Dimensions of the Solar System
A set of instructions that help learners draw concentric orbital arcs to scale of each planet. There is a table to complete with data and questions to check understanding of realistic orbits and relative sizes.
Achieve
Stairway
It's the stairway to learning! Scholars research all aspects of building a staircase. Using information from building codes, they write and graph a system of inequalities to analyze the constraints. The completed project is a scale model...
It's About Time
The History and Scale of the Solar System
Take scientists beyond our earthly reach and into the solar system. Pupils create a model of the solar system and discuss strengths and weaknesses of their model. They calculate distances in light years, discuss the nebular theory, and...
Achieve
Dairy Barn
Agriculture is truly a math-based profession! Help the dairy farmer determine the supplies needed to complete his barn. Using given dimensions, learners build equations and use units to determine the correct amount of materials.
Noyce Foundation
Boxes
Teach your class to think outside the box. Scholars use the concept of equality to solve a problem in the assessment task. They determine how to use a scale to identify the one box out of a set of nine boxes that is heavier than the others.
Achieve
Task: Storage Sheds
Bridge the gap between mathematics and Career Technical Education. Pupils research the cost associated with building storage sheds and analyze possible profit. They build scale models and determine if building and selling the sheds is a...
Illustrative Mathematics
Peaches and Plums
According to the resource graph, which costs more: peaches or plums? Algebra learners compare two proportional relationships and then throw in a banana. Leaving out the scale helps students become intuitive about graphing.
Math by Design
Transformations – Reflections
Scholars use interactive resources to figure out how to mathematically draw a reflection of a geometric shape viewed in a mirror. To conclude the activity, class members are asked to deduce the result of multiple reflections across...
Teach Engineering
Off-Road Wheelchair Challenge
Challenge your class to use their understanding of the engineering design process to design and build a small-scale, off-road prototype for an assistive technology device. Teams select materials to build their scale models, and, using...
Teach Engineering
Super Slinger Engineering Challenge
How well can you launch a ping-pong ball? Small groups design launchers that can launch a ping-pong ball 20 feet into a target. The teams follow the engineering design process as they develop a solution that meets the design...
Mathematics Assessment Project
Linear Graphs
A line is a line is a line. As a middle school assessment task, learners first identify graphs of given linear equations. They then identify the equations that represent real-world situations.
Noyce Foundation
Photographs
Scaling needs to be picture perfect. Pupils use proportional reasoning to find the missing dimension of a photo. Class members determine the sizes of paper needed for two configurations of pictures in the short assessment task.
Curated OER
Ratios and Proportions
This study guide would be great to use when presenting a lesson on ratios and proportions. It includes clear definitions, explanations, and examples to work through as a class or individually. In addition, it has notes on rates and...
Curated OER
Circuit Diagrams: Switching Circuits
Use a lab sheet on circuit diagrams in your electricity unit. Fifth graders draw two series circuits with diagrams, based on two examples. A science experiment prompts learners to use 3x5 cards to illustrate the way a series circuit works.
Illustrative Mathematics
Running a Mile
The single question in this activity has multiple ways to be solved. Two boys ran a mile. Their times were similar, except one time was a fraction of the other. Who ran faster? In demonstrating the answer to this problem, upper graders...
Curated OER
Chemistry of Life Study Guide
Biology learners should understand a few chemistry basics. Here is a worksheet that introduces them to the concepts of chemical reactions, molecular bonding, and the unique combination of properties that make water vital to life....