G-MG.1.2

Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot). ★

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Formative Assessments
Formative Assessments
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Students are asked to determine an estimate of the density of trees and the total number of trees in a forest.
How Many Trees?
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Students are asked to create a model to estimate volume and mass.
Mudslide
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Students are asked to determine the population of the state of Utah given the state’s population density and a diagram of the state’s perimeter with boundary distances labeled in miles.
Population of Utah
Virtual/Hands-on Manipulatives
Virtual/Hands-on Manipulatives
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Assessment Questions
Assessment Questions
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Videos of Expert Instruction
Videos of Expert Instruction
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Statistical analysis played an essential role in using microgravity sensors to determine location of caves in Wakulla County.
MicroGravity Sensors & Statistics
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Dr. David McNutt explains how a simple do-it-yourself quadrat and a transect can be used for ecological sampling to estimate population density in a given area.
Ecological Sampling Methods and Population Density
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Let this teacher transfer some ideas about teaching wave and material properties to you. Then pass it on to someone else.
Modeling Sound Waves Traveling through Different Mediums
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The Gourmet Gift Baskets team wants to break the record for the biggest coffee cup. Will that cup be enough to break it? How many gallons of coffee do you think will fit inside?
World’s Largest Hot Coffee
Math Literature
Math Literature
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Teachers who use this version of the task will need to bring tree leaves (or prepare a good sketch of a tree leaf) to class so that they can work on and discuss how to approximate the area of an irregular shape like a leaf.
How Many Leaves on a Tree? (Version 2)
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The goal of this task is to provide a introduction to the sometimes subtle use of density and units related to density, in a simple and fun context with minimal geometric complexity.
Indiana Jones and the Golden Statue
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The problem asks students to find the amount of water displaced given the relative percentages of silver and gold by volume in the crown.
Archimedes and the King’s Crown
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The goal of this task is to examine a mathematical statement about the mass of snow, hopefully providing some stimulating thought to go along with the very arduous and demanding physical exercise.
A Ton of Snow
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The purpose of this task is for students to apply the concepts of mass, volume, and density in a real-world context.
How Many Cells Are in the Human Body?
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Explain which measurements you will need to take as well as extra information that you may need in order to estimate the thickness of a soda can.
How Thick is a Soda Can? Variation II