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Transcript
GSE PreCalculus Unit 1: Matrices
Unit Essential Question: How do I use matrices to represent and manipulate data?
Day
Lesson
Assignment
Day 1
How do I add and subtract matrices? How do I
Class intro/syllabus
Monday
multiply matrices by a scalar?
Keeper PPT 1.1p
Standard: MGSE9-12.N.VM.7, MGSE9-12.N.VM.8
8-1-16
Notes Add, Subtract,
Add, Subtract matrices of appropriate dimensions. Multiply matrices by a scalar to
produce a new matrix.
multiply by scalar
Instruction: Discussion & Group Practice
Classwork:
Differentiation: Individual pacing/questions
WS 1.1 #1-10
Homework:
WS 1.1a #1-14
Day 2
Tuesday
8-2-16
Day 3
Wednesday
8-3-16
How do I multiply matrices?
Standard: MGSE9-12.N.VM.7, MGSE9-12.N.VM.8
Add, Subtract, and multiply matrices of appropriate dimensions. Multiply matrices
by a scalar to produce a new matrix.
Instruction: Discussion & Group Practice
Differentiation: Individual pacing/questions
Class meetings – SLO Pre-test
How do I find determinants and inverses (2x2 only)?
Standard: MGSE9-12.N.VM.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 a nonzero if and only if the matrix has a multiplicative inverse
Instruction: Discussion & Group Practice
Differentiation: Individual pacing/questions
Keeper: Finish PPT
Question on Solving,
Additive
inverse/identity
WS 1.1 #11-17
Keeper: PPT 1.2p Notes
on Matrix Multiplication
Homework:
WS 1.2
Classwork:
Daily Skill Check #1
+,-,x,
Slo Pre-Test
Homework: Catch up
on first two days
WS 1.2a
Day 4
Thursday
8-4-16
Day 5
Friday
8-5-16
How do I find determinants and inverses (2x2 only)?
Standard: MGSE9-12.N.VM.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 a nonzero if and only if the matrix has a multiplicative inverse
Instruction: Discussion & Group Practice
Differentiation: Individual pacing/questions
Quiz 1
How do I complete matrix operations using a calculator?
Standard: MGSE9-12.N.VM.7, MGSE9-12.N.VM.8
Add, Subtract, and multiply matrices of appropriate dimensions. Multiply matrices
by a scalar to produce a new matrix.
Instruction: Discussion & Group Practice
Differentiation: Individual pacing/questions
Keeper: Notes PPT 1.3p
on Determinant and
Inverses.
Classwork:
WS 1.3
Homework:
Study for Quiz
Classwork:
Quiz 1
WS 1.4 Matrix Ops with
Calculator
Homework:
Purchase a Calculator
Day 6
Monday
8-8-16
How do I solve systems of equations using matrices?
Standard: MMGSE9-12.A.REI.8, MMGSE9-12.A.REI.9
Represent a system of linear equations as a single matrix equation.
Find the inverse of a matrix if it exists and use to solve systems of linear equations
Instruction: Go over homework, Discussion, & Group Practice
Differentiation: Individual pacing/questions.
Keeper: Notes PPT 1.5p
on Solving Systems w/
Matrices
Classwork: WS 1.5
Homework: WS 1.5a
Day 7
Tuesday
8-9-16
Day 8
Wednesday
8-10-16
Day 9
Thursday
8-11-16
How do I solve systems of equations using matrices?
How do I find the area of a triangle given 3 vertices?
Standard: MMGSE9-12.A.REI.8, MMGSE9-12.A.REI.9, MMGSE9-12N.VM.12
Represent a system of linear equations as a single matrix equation.
Find the inverse of a matrix if it exists and use to solve systems of linear equations
Interpret the absolute value of the determinant in terms of area.
Instruction: Go over homework, Discussion, & Group Practice
Differentiation: Individual pacing/questions.
Daily Skills Check #2 –
Solving Systems
Keeper: Notes PPT 1.6
Find the area of Triangle
using Matrices.
Applications with
Matrices
Classwork: Quads
Application Activity
WS 1.6
Test 1 Review
Classwork:
Review Sheet
Quads
Test 1: Matrices
Test 1 - Matrices