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Resource Type
Common Core: Math
CCLS  Math: N.VM.11
 Category
 Vector And Matrix Quantities
 SubCategory
 Perform Operations On Matrices And Use Matrices In Applications.
 State Standard:
 (+) Multiply a vector (regarded as a matrix with one column) by a matrix of suitable dimensions to produce another vector. Work with matrices as transformations of vectors.
16 Results

 Student Outcomes Students will create a short animation in ALICE 3.1 using onestep procedures. Students will apply their understanding of the mathematics of projecting threedimensional images onto...

 Student Outcomes Students learn to project points in 3dimensional space onto a 2dimensional plane. Students learn how to simulate 3dimensional turning on a 2dimensional screen.

 Student Outcomes Through discovery, students will understand how challenging it is to project threedimensional objects onto a twodimensional space. Students will understand that vanishing points...

 In Topic E students apply the knowledge developed in this module to understand how firstperson video games use matrix operations to project threedimensional objects onto twodimensional screens and...

 Student Outcomes Students write parametric equations for a line through two points in ℝ2 and ℝ3 and for a line segment between two points in ℝ2 and ℝ3. Students write parametric equations for the...

 Student Outcomes Students write the equation for a line in ℝ2 or ℝ3 using vectors. Students write the parametric equations for a line in ℝ2 or ℝ3 . Students convert between parametric equations and...

 Topic D opens with a formal definition of a vector. The arithmetical work for vector addition, subtraction, scalar multiplication, and vector magnitude is explored along with the geometrical...

 Student Outcomes Students prove both geometrically and algebraically that matrix addition is commutative.

 Topic B explores the geometric context for higherdimensional matrices. The geometric effect of matrix operations—matrix product, matrix sum, and scalar multiplication—are examined, and students...

 Student Outcomes Students work with 2 × 2 matrices as transformations of the plane. Students combine matrices using matrix multiplication and addition. Students understand the role of the zero matrix...

 Student Outcomes Students work with 2 × 2 matrices as transformations of the plane. Students understand the role of the multiplicative identity matrix.

 Student Outcomes Students use matrix transformations to model circular motion. Students use coordinate transformations to represent a combination of motions.

 Student Outcomes Students use matrix transformations to represent motion along a straight line.

 Topic C highlights the effectiveness of changing notations and the power provided by certain notations such as matrices. The study of vectors and matrices is introduced through a coherent connection...

 Module 2 extends the concept of matrices introduced in Module 1. Students look at incidence relationships in networks and encode information about them via highdimensional matrices. Matrix...

 Precalculus Module 1: Complex Numbers and Transformations Module 1 sets the stage for expanding students' understanding of transformations by exploring the notion of linearity. This leads to the...