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Module 2: Vectors and matrices

Topic A: Networks and matrices

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Topic B: Linear transformations of planes and space

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Topic C: Systems of linear equations

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Representing linear systems with matrices
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Representing linear systems with matrix equations
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Solving linear systems with matrix equations
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Matrix word problem: vector combination
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Matrix word problem: prices
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Practice
Represent linear systems with matricesGet 3 of 4 questions to level up!
Represent linear systems with matrix equationsGet 3 of 4 questions to level up!

Topic D: Lessons 17-18: Vectors in the coordinate plane

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Intro to vectors and scalars
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Recognizing vectors
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Recognizing vectors practice
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Equivalent vectors
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Vector magnitude from graph
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Vector magnitude from components
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Vector magnitude from initial & terminal points
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Scalar multiplication of vectors
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Adding & subtracting vectors
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Practice
Equivalent vectorsGet 3 of 4 questions to level up!
Magnitude of vectorsGet 3 of 4 questions to level up!
Scalar multiplicationGet 3 of 4 questions to level up!
Add & subtract vectorsGet 3 of 4 questions to level up!

Topic D: Lesson 19: Directed line segments and vectors

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Components of vectors
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Components of vectors (example 2)
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Analyzing scalar multiplication
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Graphically adding & subtracting vectors
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Graphically subtracting vectors
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Adding vectors algebraically & graphically
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Combined vector operations
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Vector operations review
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Practice
Components of vectorsGet 3 of 4 questions to level up!
Analyze scalar multiplicationGet 3 of 4 questions to level up!
Graphically add & subtract vectorsGet 3 of 4 questions to level up!
Combined vector operationsGet 3 of 4 questions to level up!

Topic D: Lessons 20: Vectors and stone bridges

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Direction of vectors from components: 1st & 2nd quadrants
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Direction of vectors from components: 3rd & 4th quadrants
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Vector components from magnitude & direction
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Adding vectors in magnitude & direction form (1 of 2)
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Adding vectors in magnitude & direction form (2 of 2)
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Vector addition & magnitude
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Practice
Direction of vectorsGet 3 of 4 questions to level up!
Vector components from magnitude & directionGet 3 of 4 questions to level up!
Add vectors: magnitude & direction to componentGet 3 of 4 questions to level up!
Add vectors: magnitude & directionGet 3 of 4 questions to level up!

Topic D: Lessons 21-22: Vectors and linear transformations

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Topic D: Lessons 23-24: Why are vectors useful?

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Vectors word problem: pushing a box
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Vectors word problem: tug of war
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Vectors word problem: hiking
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Practice
Vector word problemsGet 3 of 4 questions to level up!

Topic E: First-person video games—projection matrices

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About this unit

"Module 2 extends the concept of matrices introduced in Module 1. Students look at incidence relationships in networks and encode information about them via high-dimensional matrices. Matrix properties are studied as well as the role of the zero and identity matrices. Students then use matrices to study and solve higher order systems of equations. Vectors are introduced, and students study the arithmetic of vectors and vector magnitude. The module ends as students program video games using matrices and vectors." Eureka Math/EngageNY (c) 2015 GreatMinds.org