Standard 1 : Represent and model with vector quantities. (Archived)



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General Information

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

Related Standards

This cluster includes the following benchmarks
Code Description
MAFS.912.N-VM.1.1: Recognize vector quantities as having both magnitude and direction. Represent vector quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes (e.g., v, |v|, ||v||, v).
MAFS.912.N-VM.1.2: Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point.
MAFS.912.N-VM.1.3: Solve problems involving velocity and other quantities that can be represented by vectors.


Related Resources

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

Lesson Plans

Name Description
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.

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.

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.

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.

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.
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.

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 to practice what they have learned.

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.

Perspectives Video: Expert

Name Description
Vectors and Oceanography:

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

Download the CPALMS Perspectives video student note taking guide.

Perspectives Video: Professional/Enthusiasts

Name Description
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.

Download the CPALMS Perspectives video student note taking guide.

Vectors and Flight Forces:

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

Download the CPALMS Perspectives video student note taking guide.

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]

Download the CPALMS Perspectives video student note taking guide.

Perspectives Video: Teaching Idea

Name Description
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]

Download the CPALMS Perspectives video student note taking guide.

Text Resource

Name Description
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.

Tutorial

Name Description
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).



Student Resources

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

Perspectives Video: Expert

Title Description
Vectors and Oceanography:

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

Download the CPALMS Perspectives video student note taking guide.

Perspectives Video: Professional/Enthusiast

Title Description
Vectors and Flight Forces:

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

Download the CPALMS Perspectives video student note taking guide.



Parent Resources

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

Perspectives Video: Expert

Title Description
Vectors and Oceanography:

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

Download the CPALMS Perspectives video student note taking guide.

Perspectives Video: Professional/Enthusiast

Title Description
Vectors and Flight Forces:

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

Download the CPALMS Perspectives video student note taking guide.