# Cluster 1: Represent and model with vector quantities.Archived

General Information
Number: MAFS.912.N-VM.1
Title: Represent and model with vector quantities.
Type: Cluster
Subject: Mathematics - Archived
Domain-Subdomain: Number & Quantity: Vector & Matrix Quantities

## Related Standards

This cluster includes the following benchmarks.

## Related Access Points

This cluster includes the following access points.

## Related Resources

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

## Lesson Plans

Lunar Rover Challenge :

In this Engineering Design Challenge, student teams will design a lunar rover. The students will calculate the velocity of the rovers, illustrate the movement through graphs, and complete written explanations. The LRV that can travel the greatest distance wins this challenge.

Type: Lesson Plan

How fast are you?:

Use students' competitive natures in this engaging lab on velocity. Students will learn how using a known distance and a measured time for a runner can be used to calculate their velocity. Students will graph the relationship between these two factors to see the correlation as a graphic representation.

Type: Lesson Plan

Olympic Snowboard Design:

This MEA requires students to design a custom snowboard for five Olympic athletes, taking into consideration how their height and weight affect the design elements of a snowboard. There are several factors that go into the design of a snowboard, and the students must use reasoning skills to determine which factors are more important and why, as well as what factors to eliminate or add based on the athlete's style and preferences. After the students have designed a board for each athlete, they will report their procedure and reasons for their decisions.

Type: Lesson Plan

BIOSCOPES Summer Institute 2013 - Forces:

This lesson is designed to be part of a sequence of lessons. It follows resource 52937 "BIOSCOPES Summer Institute 2013 - Motion" and precedes resource 52910 "BIOSCOPES Summer Institute 2013 - Mechanical Energy." This lesson uses a predict, observe, and explain approach along with inquiry based activities to enhance student understanding of Newton's three laws of motion.

Type: Lesson Plan

Falling for Gravity:

Students will investigate the motion of three objects of different masses undergoing free fall. Additionally, students will:

• Use spark timers to collect displacement and time data.
• Use this data to calculate the average velocity for the object during each interval.
• Graph this data on a velocity versus time graph, V-t. They find the slope of this graph to calculate acceleration.
• Calculate the falling object's acceleration from their data table and graph this data on an acceleration versus time graph, a-t.
• Use their Spark timer data paper, cut it into intervals, and paste these intervals into their displacement versus time graph.

Type: Lesson Plan

Linear Motion:

In this activity students will learn the relationship between:

• Distance and displacement
• Velocity and speed
• Vectors and scalars
• Acceleration

and demonstrate their knowledge through group presentations.

Type: Lesson Plan

Vectors: Tip to Tail:

In this lesson students will learn the characteristics and appropriate use of vectors. They will find the magnitude and direction of vectors, they will add and subtract vectors and use an interactive website (such as Geogebra, phet, etc.) to practice what they have learned.

Type: Lesson Plan

Amusement Park Physics:

Students will research various types of amusement park rides and use their findings to design a feasible ride of their own. They will summarize their findings and present their ride design to the class. Each student will then write a persuasive letter to a local amusement park describing the reasons their ride design is the best.

Type: Lesson Plan

## Perspectives Video: Expert

Vectors and Oceanography:

Don't let the motion of the ocean cause a commotion! Learn how vectors describe ocean movement patterns.

Type: Perspectives Video: Expert

## Perspectives Video: Professional/Enthusiasts

Practical Applications of Vectors in Military Air Traffic Control:

Senior Airman Jennifer Tisdale explains the role of vectors in management of flight traffic for the United States Air Force.

Type: Perspectives Video: Professional/Enthusiast

Vectors and Flight Forces:

When you watch this video, your knowledge related to flight and physics will really take off!

Type: Perspectives Video: Professional/Enthusiast

KROS Pacific Ocean Kayak Journey: Kites, Rowing, Wind, and Navigation:

What’s your vector, Victor? Understanding math and wind helps get you where you want to go.

Related Resources:
KROS Pacific Ocean Kayak Journey: GPS Data Set[.XLSX]
KROS Pacific Ocean Kayak Journey: Path Visualization for Google Earth[.KML]

Type: Perspectives Video: Professional/Enthusiast

## Perspectives Video: Teaching Idea

KROS Pacific Ocean Kayak Journey: Kites, Geometry, and Vectors:

Set sail with this math teacher as he explains how kites were used for lessons in the classroom.

Related Resources:
KROS Pacific Ocean Kayak Journey: GPS Data Set [.XLSX]
KROS Pacific Ocean Kayak Journey: Path Visualization for Google Earth [.KML]

Type: Perspectives Video: Teaching Idea

## Text Resource

Maths Goes to the Movies:

This informational text resource is intended to support reading in the content area. The text shows how math is used to create the life-like computer generated images seen in movies such as Jurassic Park and Lord of the Rings.

Type: Text Resource

## Tutorial

LSSS Tutorial: Introduction to Vectors and Scalars:

This resource is intended to serve as a concise introduction to vector and scalar quantities for teachers of secondary math and science. It provides definitions of vectors and scalars as well as physical examples of each type of quantity, and also illustrates the differences between these two types of quantities in both one and two dimensions, through determinations of both distance (scalar) and displacement (vector).

Type: Tutorial

## Student Resources

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

## Perspectives Video: Expert

Vectors and Oceanography:

Don't let the motion of the ocean cause a commotion! Learn how vectors describe ocean movement patterns.

Type: Perspectives Video: Expert

## Perspectives Video: Professional/Enthusiast

Vectors and Flight Forces:

When you watch this video, your knowledge related to flight and physics will really take off!

Type: Perspectives Video: Professional/Enthusiast

## Parent Resources

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

## Perspectives Video: Expert

Vectors and Oceanography:

Don't let the motion of the ocean cause a commotion! Learn how vectors describe ocean movement patterns.