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 PreCalculus
Date 
Entry Task 
Activity 
Assignments
and Homework 

1/5 
For all students at your four tops,
organize the following information into a matrix of data.
Be sure to label all relevant details:

Parts of a Matrix: Row, Column, Dimensions,
elements/entries. Real world application of organizing
data. Student Organization Tool: Foldable Read Matrix basics (pg. 428  432 up to "Addition and Subtraction of Matrices"). Add notes to Foldable. JR: Explain how to organize data into a matrix. Provide a real world example. 
Create a 3x3 matrix using data on a
nutrition facts label from three packaged goods of your
choosing. The three rows represent calories, total
fat, and protein, respectively. The three columns
will be the names of the packaged goods. Provide the
data for a single serving of each item. 
1/6 
Add the following matrix to the matrix you
created for homework. What is the meaning of this addition? 
Matrix addition, subtraction and scalar
multiplication. Pg. 432  433 (Matrix addition, subtraction and scalar multiplication). Add new information to Foldable. Carry out each indicated operation, or explain why it cannot be performed.
Problem copied from Stewart, Redlin, Watson 3e Trigonometry and Algebra textbook, 2012. 
1. Nutrition apps use matrices to store
information about popular foods. Matrix A stores
information for a pancake recipe. Mr. G. made an order of
pancakes and Dr. Edge tripled his recipe. What is the
combined nutrition for all pancakes made by Mr. G and Dr.
Edge? Note: Aunt Jemima pancake mix (1/3 cup), 1 large egg and 1 cup low fat milk. 2. Buckstars Coffee (BSC), an international coffee chain competes directly with Yllut's Coffee (YC). The following images are directly from the menu in the store.

1/7 (Block) 
Yullut's coffee realized that want to increase prices by 2%. Use your matrix created from your homework to calculate their new coffee prices?  POGIL to
introduce matrix multiplication. JR: Explain in simple language how to multiply the matrix and the vector.Provide the dimensions of the resulting matrix. 
Pg. 436 #1, 4, 7 
1/9 
Recall the following properties from
algebra, provide an algebraic example for each:

More practice with matrix multiplication,
addition and subtraction (Prove or disprove associative,
distributive, and commutative property). JR: Is the following equation true? Explain why or why not. 
Add titles for the last two "tabs" of your
foldable. Add all relevant details within the first six
"tabs".

1/12 
Recall the following properties from
algebra, provide an algebraic example for each:
Additionally, write the matrix equivalent of the
properties above (or make a best guess if you are
unsure). 
Debrief Entry Task The Multiplicative Inverse; Activity 7.2 pg 441442. JR:Explain in simple language the purpose of a multiplicative inverse AND what it means to be an identity matrix. 
Pg. 446 #1, 2, 3. Set up the matrices
to solve the problem posed at the beginning of Activity
7.2 (see page 441). Consider studying for the semester final 
1/13 
Create the exact form of the
inverse of the matrix. 
Inverse
Matrices activity. JR: Explain why this matrix does not have an inverse. 
Pg. 447450 #7 and #11 (use inverse matrix
to solve the systems). Note: For part b, refer to Inverse Matrices activity from class. Consider viewing the following website: http://www.mathsisfun.com/algebra/matrixinverse.html Consider studying for the semester final 
1/14 
Another way to express a two dimensional
vector is with a 2 X 1 matrix.

Practice multiplying transformation
matrices by vectors to "see" what happens to these. Application of matrices with solving systems of equations. Begin Final Review Exercises. JR: Write about two uses for matrices or matrix operations. What are their real world applications? 
Matrix Final Review Problems/Exercises Pg. 436 # 10 (omit part e) Pg. 447 #5 (calculator okay) Pg. 461 #9 (omit b) Pg. 463 #13b (use matrix operations, explain your process, calculator okay) Pg. 464 #2, 5 Consider studying for the semester final 
1/16 
Write at least two questions you have about
matrices, their uses or problems you need help solving. 
Review Day: Reserved for reviewing any
challenging concepts or misunderstandings. JR: Which concepts about matrices do you need to continue reviewing for the unit exam next Friday? What steps will you take this weekend to study for the semester exam? 
Develop a plan for study and review of
precalculus for the semester 1 final exam. Include:
Consider studying for the semester final. Recall the syllabus says "no late work will be accepted in the last five school days of a grading period." That means NO LATE WORK from today 16 January) through the end of the semester! Practice Matrix Exam (optional) 
1/20 
Write at least two explicit questions or
concepts for which you are still uncertain or would like
review. 
Prepare for Semester 1 Final Exam Review Student Questions JR: 
Prepare for the Final Exams. 
1/21 
Get ready for the exam! Move to a
seat where you have ample room, obtain all the materials
you need before class starts, seat at most two at the
square "cafe tables" and place the paper "blinders"
between each pair of people. 
Semester Final Exam 1.1: You may use YOUR
calculator and a 3 x 5 note card* (writing on both sides
is permitted). Measurement devices (e.g. ruler and
protractor) are also allowed. Expect questions on
all previous topics in the course (excluding matrix
operations). Specifically
Reminder: you will not be allowed to do "corrections" on the final exams! JR: Google Reflection 
Prepare for the remaining Final Exam. 
1/23 
Get ready for the exam! Move to a
seat where you have ample room, obtain all the materials
you need before class starts, seat at most two at the
square "cafe tables" and place the paper "blinders"
between each pair of people. 
Semester Final Exam 1.2: You may use a 3 x
5 note card* (writing on both sides is permitted).
Measurement devices (e.g. ruler and protractor) are also
allowed. Note: calculator NOT allowed! Expect
questions on matrices, specifically
Reminder: you will not be allowed to do "corrections" on the final exams! JR: What are your goals (in general) between now and the end of the school year? What do you hope to learn in mathematics? 