Day 24:
Objective:
Materials:
Methods:
Assignment:
Day 25:
Objective:
Methods:
Assignment:
Day 26
Objective:
Introduce matrices. Review of systems of equations; three dimensional
representaions
Prepared sheets
Lecture, class discussion, Q&A
None
Unit Test: Conics
Written Assessment
None
Materials:
Assignment:
Represent a system of equations using a matrix. Augmented matrices – row
operations. Students will solve systems of equations using matrices in 3 variables.
Review material & Functions
Textbook pg. 600-602 #s 25-55 odd; worksheets
Day 27
Objective:
Materials:
Methods:
Assignment:
Adding and Subtracting and scalar multiples. Matrix Multiplication.
Prepared sheets
Lecture, class discussion, Q&A
Textbook pg 615 #s 1-14 all
Day 28
Objective:
Materials:
Methods:
Assignment:
Matrix Multiplication including using the TI-84 plus.
Overhead, boardwork, textbook
Guided discovery, modeling, class discussion, Q&A, Guided Practice
Textbook pg. 615 #s 15-34 all; complete worksheets
Day 29
Objective:
Materials:
Methods:
Assignment:
Application of matrix multiplication
Prepared sheets, overhead, textbook
Guided discovery, guided practice, boardwork, class discussion, Q&A
worksheets
Day 30
Objective:
Materials:
Methods:
Quiz – Adding Subtracting and multiplying matrices
prepared sheets, textbook
Guided discovery, guided practice, boardwork, class discussion, Q&A
Day 31
Objective:
Methods:
Assignment:
Solve systems of equations using matrices in 3 variables. Augmented Matrix Method
- Variations without having to use the identity matrix –triangulation of zeros.
whole class discussion
Textbook pg. 600-602 #s 26-56 even
Day 32
Objective:
Materials:
Methods:
Assignment:
Day 33
Objective:
Assignment:
Day 34
Objective:
Materials:
Methods:
Assignment:
Day 35
Objective:
Materials:
Methods:
QUIZ – no calculator: Augmented Matrix Method
Teacher prepared assessment
Guided discovery, small groups, class discussion, Q & A
worksheets
Inverse of a Matrix. Finding the multiplicative inverse of a matrix and using it to
solve systems.
Textbook pg. 625-627 #s 1-33 odd
Discovering how to solve a system in two variables using determinants. Discuss
Cramer’s Rule. Finding the determinant of a 3 by 3 matrix.
Teacher prepared calculator lab, calculator
Guided discovery, small groups
Worksheets
Assignment:
Students will discuss Cramer’s rule and test if it applies to equations in 3 variables.
Textbook, overhead, calculator
Guided discovery, guided practice (substitution, factoring, table, graph), class
discussion, Q & A
Textbook pg. 646-647 #s 13-18; worksheets
Day 36
Objective:
Objective:
Methods:
Assignment:
Applications of matrices – area of triangle, equation of a line given coordinates
SWBAT review for test matrices
Guided discussion, guided practice Q & A
Textbook pg. 646-647 #s 19-43 odd
Day 37
Objective:
Objective:
Methods:
Assignment:
Applications of matrices – area of triangle, equation of a line given coordinates
SWBAT review for test matrices
Guided discussion, guided practice Q & A
Textbook pg. 646-647 #s 20-44 even
Day 38
Objective:
Materials:
Methods:
Assignment:
SWBAT write a rational expression as the sum of two or more simpler rational
expressions
Prepared sheets, overhead, textbook
Guided discovery, guided practice, boardwork, class discussion, Q&A
pgs. 560-561 #s 1-41 odd
DAY 39
Objective:
Methods:
Assignment:
Review of matrices and determinants.
Guided discovery, guided practice
Textbook pg 649 #s 1-22 all
DAY 40
Objective:
Materials:
Methods:
TEST - Matrices
Prepared test
Written Assessment
Standards:
A-REI.3.,A-REI.8,A-REI.9., N-VM .6., N-VM .7.,N-VM .8.,N-VM .9., N-VM .10.,N-VM .11.,N-VM .12.