# Standard 1 : Apply geometric concepts in modeling situations. (Geometry - Major Cluster)

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Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

### General Information

Number: MAFS.912.G-MG.1
Title: Apply geometric concepts in modeling situations. (Geometry - Major Cluster)
Type: Cluster
Subject: Mathematics
Domain-Subdomain: Geometry: Modeling with Geometry

#### Related Standards

This cluster includes the following benchmarks
 Code Description MAFS.912.G-MG.1.1: Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder). ★ MAFS.912.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). ★ MAFS.912.G-MG.1.3: Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios). ★

#### Related Access Points

This cluster includes the following access points.

#### Access Points

 Access Point Number Access Point Title MAFS.912.G-MG.1.AP.1a: Describe the relationship between the attributes of a figure and the changes in the area or volume when one attribute is changed. MAFS.912.G-MG.1.AP.3a: Apply the formula of geometric figures to solve design problems (e.g., designing an object or structure to satisfy physical restraints or minimize cost). MAFS.912.G-MG.1.AP.2a: Recognize the relationship between density and area; density and volume using real-world models.

#### Related Resources

Vetted resources educators can use to teach the concepts and skills in this topic.

#### 3D Modeling

 Name Description Carrying Cargo - 3D Boat Design and Modeling: This  model-eliciting activity (MEA) will help students tackle real-world problems as they balance constraints with finding the optimal design, all while overcoming unforeseen circumstances that may change the procedure students use to determine the best solution. In the end, students are challenged to design and test their own boats, using Tinkercad to model a 3D-printable boat.

#### Assessments

 Name Description Sample 1 - High School Geometry State Interim Assessment: This is a State Interim Assessment for 9th-12th grade. Sample 4 - High School Geometry State Interim Assessment: This is a State Interim Assessment for 9th-12th grades. Sample 3 - High School Geometry State Interim Assessment: This is a State Interim Assessment for 9th-12th grade. Sample 2 - High School Geometry State Interim Assessment: This is a State Interim Assessment for 9th-12th grade.

#### Perspectives Video: Experts

 Name Description MicroGravity Sensors & Statistics: Statistical analysis played an essential role in using microgravity sensors to determine location of caves in Wakulla County. Download the CPALMS Perspectives video student note taking guide. The Geometry of DNA Replication: A discussion of the applications of Knot Theory, replication of DNA, enzymes, and fluid dynamics. Implications of the Spherical Earth: To understand atmospheric and oceanic currents, one needs a well-rounded understanding of geometry and the shape of the Earth. Mathematical Patterns and Folds in the Brain: A bio-mathematician discusses the folds and the structure of the brain and how they relate to math.

#### Perspectives Video: Teaching Ideas

 Name Description Ecological Sampling Methods and Population Density: 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. Download the CPALMS Perspectives video student note taking guide. Modeling Sound Waves Traveling through Different Mediums : Let this teacher transfer some ideas about teaching wave and material properties to you. Then pass it on to someone else. Download the CPALMS Perspectives video student note taking guide.

#### Teaching Idea

 Name Description Echolocation and Density-SeaWorld Classroom Activity: Students will solve density problems.

#### Text Resource

 Name Description Math for Hungry Birds: This informational text resource is intended to support reading in the content area. A new study indicates that the flying patterns of hunting albatrosses may resemble mathematical designs called fractals. This article describes the basics of fractals and why scientists think the albatross may hunt in such patterns. As it turns out, many animals may use math to find food!

#### Video/Audio/Animation

 Name Description MIT BLOSSOMS - Using Geometry to Design Simple Machines: This video is meant to be a fun, hands-on session that gets students to think hard about how machines work. It teaches them the connection between the geometry that they study and the kinematics that engineers use -- explaining that kinematics is simply geometry in motion.

#### Student Resources

Vetted resources students can use to learn the concepts and skills in this topic.

#### Perspectives Video: Expert

 Title Description MicroGravity Sensors & Statistics: Statistical analysis played an essential role in using microgravity sensors to determine location of caves in Wakulla County. Download the CPALMS Perspectives video student note taking guide.

#### Perspectives Video: Professional/Enthusiast

 Title Description Using Geometry and Computers to make Art with CNC Machining: See and see far into the future of arts and manufacturing as a technician explains computer numerically controlled (CNC) machining bit by bit.