Download 2016 HS Algebra 2 Unit 3 Plan - Matrices

Unit Design
Content Area
Grade/Course
Unit Title
Duration of Unit
Warren County Public Schools
Mathematics
HS Algebra 2
Unit 3: Matrices
8 days
Priority Standards
HSN.VM.C.6 - Use matrices to represent and manipulate data, e.g., to represent payoffs or
incidence relationships in a network.
HSN.VM.C.7 - Multiply matrices by scalars to produce new matrices, e.g., as when all of the
payoffs in a game are doubled.
HSN.VM.C.8 - Add, subtract, and multiply matrices of appropriate dimensions.
Quality Core Standards
D.1 Expressions, Equations, and Inequalities
C. Solve algebraically a system containing three variables
I.1 Matrices
A. Add, subtract, and multiply matrices.
B. Use addition, subtraction, and multiplication of matrices to solve real-world problems.
C. Calculate the determinant of 2 x 2 and 3 x 3 matrices.
D. Calculate the inverse of a 2 x 2 matrix.
E. Solve systems of equations by using inverses and determinants of matrices.
F. Use technology to perform operations on matrices, find determinants, and find inverses.
Supporting Standards
HSN.VM.C.9 - Understand that, unlike multiplication of numbers, matrix multiplication for square
matrices is not a commutative operation, but still satisfies the associative and distributive
properties.
HSN.VM.C.10 - Understand that the zero and identity matrices play a role in matrix addition and
multiplication similar to the role of 0 and 1 in the real numbers. The determinant of a square
matrix is nonzero if and only if the matrix has a multiplicative inverse.
Concepts (nouns)
Data
Matrices
Matrices
Skills (verbs)
Represent and Manipulate
Multiply
Add and Subtract
Learning Targets
LT1: Represent data as a matrix. (4)
LT2: Perform basic operations with matrices. (4)
Bloom’s Level (verb)
Analyze
Analyze
Analyze
Unit Design
Warren County Public Schools
LT3: Calculate determinate of matrices.(4)
LT4: Calculate inverses of matrices if they exist. (4)
LT5: Solve systems of equations. (4)
Determine Big Ideas (lifelong
understandings)
Matrices can be used to organize data and
implement problem solving skills.
Write Essential Questions (Answer Big Idea,
hook student interest.
How can you create a computer programming
game for Battleship or Connect Four using
matrices?
Formative Assessment Lesson(s):
“The teacher leaders for the Gates grant work recommend that Warren County
Administration adopt the practice that Warren County Math teachers do a minimum of
one Formative Assessment Lesson per quarter. Other choices for formative assessment
lessons may be found at http://map.mathshell.org/materials/lessons.php .
Common Assessment(s):
2016 HS Algebra 2 Unit 3 DCA – Matrices Version A
2016 HS Algebra 2 Unit 3 DCA – Matrices Version B
2016 HS Algebra 2 Unit 3 DCA – Matrices Version C
Note: 2016 HS Algebra 2 Unit 3 DCA – Matrices Review is to be used in conjunction
with the above assessments.