ALEX Lesson Plans
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Title: Vectors Drive the Boat
Description:
Using a combination of online exploration and teacher instruction students will discover that vectors have both magnitude and direction. They will be able to use vectors to represent problem situations. Students will also be will be able to perform basic operations on vectors.
Standard(s): [MA2013] PRE (912) 5: (+) 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). [NVM1] [MA2013] PRE (912) 7: (+) Solve problems involving velocity and other quantities that can be represented by vectors. [NVM3] [MA2013] PRE (912) 8: (+) Add and subtract vectors. [NVM4]
Subject: Mathematics (9  12)
Title: Vectors Drive the Boat
Description: Using a combination of online exploration and teacher instruction students will discover that vectors have both magnitude and direction. They will be able to use vectors to represent problem situations. Students will also be will be able to perform basic operations on vectors.
Thinkfinity Lesson Plans
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Title: Sums of Vectors and Their Properties
Description:
In this lesson, one of a multipart unit from Illuminations, students manipulate a velocity vector to control the movement of an object in a gamelike setting. In the process, they extend their knowledge of number systems to the system of vectors.
Standard(s): [MA2013] PRE (912) 5: (+) 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). [NVM1] [MA2013] PRE (912) 7: (+) Solve problems involving velocity and other quantities that can be represented by vectors. [NVM3] [MA2013] PRE (912) 8: (+) Add and subtract vectors. [NVM4] [MA2013] AM1 (912) 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 ), including the use of eigenvalues and eigenvectors. [NVM1] (Alabama) [MA2013] AM1 (912) 2: (+) Solve problems involving velocity and other quantities that can be represented by vectors, including navigation (e.g., airplane, aerospace, oceanic). [NVM3] (Alabama) [MA2013] AM1 (912) 3: (+) Add vectors endtoend, componentwise, and by the parallelogram rule. Understand that the magnitude of a sum of two vectors is typically not the sum of the magnitudes. Find the dot product and the cross product of vectors. [NVM4a] (Alabama)
Subject: Mathematics Title: Sums of Vectors and Their Properties
Description: In this lesson, one of a multipart unit from Illuminations, students manipulate a velocity vector to control the movement of an object in a gamelike setting. In the process, they extend their knowledge of number systems to the system of vectors. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Learning about Properties of Vectors and Vector Sums Using Dynamic Software
Description:
In this twolesson unit, from Illuminations, students manipulate a velocity vector to control the movement of an object in a gamelike setting. They develop an understanding that vectors are composed of both magnitude and direction, and extend their knowledge of number systems to the system of vectors.
Standard(s): [MA2013] PRE (912) 5: (+) 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). [NVM1] [MA2013] PRE (912) 7: (+) Solve problems involving velocity and other quantities that can be represented by vectors. [NVM3] [MA2013] PRE (912) 8: (+) Add and subtract vectors. [NVM4] [MA2013] PRE (912) 9: (+) Multiply a vector by a scalar. [NVM5] [MA2013] AM1 (912) 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 ), including the use of eigenvalues and eigenvectors. [NVM1] (Alabama) [MA2013] AM1 (912) 2: (+) Solve problems involving velocity and other quantities that can be represented by vectors, including navigation (e.g., airplane, aerospace, oceanic). [NVM3] (Alabama) [MA2013] AM1 (912) 3: (+) Add vectors endtoend, componentwise, and by the parallelogram rule. Understand that the magnitude of a sum of two vectors is typically not the sum of the magnitudes. Find the dot product and the cross product of vectors. [NVM4a] (Alabama) [MA2013] AM1 (912) 4: (+) Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum, including vectors in complex vector spaces. [NVM4b] (Alabama) [MA2013] AM1 (912) 5: (+) Understand vector subtraction v  w as v + (w), where (w) is the additive inverse of w, with the same magnitude as w and pointing in the opposite direction. Represent vector subtraction graphically by connecting the tips in the appropriate order, and perform vector subtraction componentwise, including vectors in complex vector spaces. [NVM4c] (Alabama)
Subject: Mathematics Title: Learning about Properties of Vectors and Vector Sums Using Dynamic Software
Description: In this twolesson unit, from Illuminations, students manipulate a velocity vector to control the movement of an object in a gamelike setting. They develop an understanding that vectors are composed of both magnitude and direction, and extend their knowledge of number systems to the system of vectors. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Orbiting Satellites
Description:
In this lesson, from Illuminations, students explore the concept of orbits, specifically the connection of Earthorbiting satellites to the study of the environment. Both geometric and algebraic concepts are presented to students in this application of science and mathematics to a realworld situation.
Standard(s): [S1] (6) 10: Describe components of the universe and their relationships to each other, including stars, planets and their moons, solar systems, and galaxies. [MA2013] GEO (912) 35: Give an informal argument for the formulas for the circumference of a circle; area of a circle; and volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri's principle, and informal limit arguments. [GGMD1] [MA2013] PRE (912) 7: (+) Solve problems involving velocity and other quantities that can be represented by vectors. [NVM3]
Subject: Mathematics,Science Title: Orbiting Satellites
Description: In this lesson, from Illuminations, students explore the concept of orbits, specifically the connection of Earthorbiting satellites to the study of the environment. Both geometric and algebraic concepts are presented to students in this application of science and mathematics to a realworld situation. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
Web Resources
Podcasts
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Title: Math in Basketball
Description:
Basketball player Elton Brand describes how he became an NBA star, then presents a challenge about the math behind the perfect free throw shot.
Standard(s): [S1] PHS (912) 7: Relate velocity, acceleration, and kinetic energy to mass, distance, force, and time. [S1] PHS (912) 12: Identify metric units for mass, distance, time, temperature, velocity, acceleration, density, force, energy, and power. [S1] PHY (912) 1: Explain linear, uniform circular, and projectile motions using one and twodimensional vectors. [S1] PHY (912) 4: Describe quantitative relationships for velocity, acceleration, force, work, power, potential energy, and kinetic energy. [MA2013] PRE (912) 7: (+) Solve problems involving velocity and other quantities that can be represented by vectors. [NVM3] [MA2013] AM1 (912) 2: (+) Solve problems involving velocity and other quantities that can be represented by vectors, including navigation (e.g., airplane, aerospace, oceanic). [NVM3] (Alabama)
Math in Basketball
http://www.thirteen....
Basketball player Elton Brand describes how he became an NBA star, then presents a challenge about the math behind the perfect free throw shot.
Interactives/Games
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Title: The Moving Man
Description:
Learn about position, velocity, and acceleration graphs. Move the little man back and forth with the mouse and plot his motion. Set the position, velocity, or acceleration and let the simulation move the man for you.
Standard(s): [S1] PHS (912) 7: Relate velocity, acceleration, and kinetic energy to mass, distance, force, and time. [S1] PHY (912) 4: Describe quantitative relationships for velocity, acceleration, force, work, power, potential energy, and kinetic energy. [MA2013] PRE (912) 7: (+) Solve problems involving velocity and other quantities that can be represented by vectors. [NVM3] [MA2013] AM1 (912) 2: (+) Solve problems involving velocity and other quantities that can be represented by vectors, including navigation (e.g., airplane, aerospace, oceanic). [NVM3] (Alabama)
The Moving Man
http://phet.colorado...
Learn about position, velocity, and acceleration graphs. Move the little man back and forth with the mouse and plot his motion. Set the position, velocity, or acceleration and let the simulation move the man for you.

