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02 Adding and Matrix Basics.notebook 1 October 01, 2018 Aug 282:51 PM CLASS OPENER (Do NOW)     DAY 8 September 27/28 Solve for given variable

CLASS OPENER (Do NOW)mathparsons.weebly.com/uploads/3/8/0/1/38010429/day_02.pdf · scalar multiplication •Given a scenario, I can create a matrix and interpret its entries I can

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Page 1: CLASS OPENER (Do NOW)mathparsons.weebly.com/uploads/3/8/0/1/38010429/day_02.pdf · scalar multiplication •Given a scenario, I can create a matrix and interpret its entries I can

02 Adding and Matrix Basics.notebook

1

October 01, 2018

Aug 28­2:51 PM

CLASS OPENER (Do NOW): 

                                                           

     

DAY 8 September 27/28

Solve for given variable

Page 2: CLASS OPENER (Do NOW)mathparsons.weebly.com/uploads/3/8/0/1/38010429/day_02.pdf · scalar multiplication •Given a scenario, I can create a matrix and interpret its entries I can

02 Adding and Matrix Basics.notebook

2

October 01, 2018

Sep 4­10:42 PM

Welcome to GEOGoal:Constructing/Interpreting Matrices + Combining Matrices

Agenda• Review: Unit 2 Performance Indictors • Explore Matrices: Lesson 1, Investigation 1 (P.73 # 1,2,4)• Notes: Matrix Basics + Practice• Practice: • Announcements: Homework 

Page 3: CLASS OPENER (Do NOW)mathparsons.weebly.com/uploads/3/8/0/1/38010429/day_02.pdf · scalar multiplication •Given a scenario, I can create a matrix and interpret its entries I can

02 Adding and Matrix Basics.notebook

3

October 01, 2018

Sep 24­11:13 PM

Unit 2: MatricesPerformance Indicator Level 1 Level 2  Level 3 Level 4

PI 2.1 Add, subtract, and multiply matrices by scalars to produce new matrices

• I can combine two matrices using addition and subtraction

• I can create a new matrix using scalar multiplication

• Given a scenario, I can create a matrix and interpret its entries

I can combine matrices using multiple operations (add/sub/scalar) without context

Given a context, I can apply matrices to solve problems using combinations of addition, subtraction, and scalar 

Given a context, I can apply matrices to solve problems using addition, subtraction, and scalar multiplication (without a prescribed procedure)

PI 2.2 Multiply matrices of appropriate dimensions.

I can multiply a one row matrix by another matrix.

­Given the dimensions of a matrix, I can create another matrix that can be multiplied with it in any order.­I can determine if two matrices can be multiplied. 

I can multiply matrices with more than one row

Given a context, I can apply matrices to solve problems using multiplication (without a prescribed procedure)

PI 2.3 Solve systems of linear equations using matrices

I can convert a system of equations into matrix equations (and vice versa)

I can solve for 2 variables in a system of linear equations using matrices (given in standard form)

I can solve for 2 or more variables in a system of linear equations using matrices (given any form of equation or context)

­I can create a matrix equation to solve problems given a context and solve it using matrices­Explain how inverse matrices help solve systems of linear equations

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02 Adding and Matrix Basics.notebook

4

October 01, 2018

Sep 24­11:21 PM

Introducing Matrices

Page 5: CLASS OPENER (Do NOW)mathparsons.weebly.com/uploads/3/8/0/1/38010429/day_02.pdf · scalar multiplication •Given a scenario, I can create a matrix and interpret its entries I can

02 Adding and Matrix Basics.notebook

5

October 01, 2018

Aug 15­9:58 PM

Unit 2  ­­  The Matrix  (Matrices)Unit 2, Lesson 1, Investigation 1   (p. 73   #1, 2, 4)                (U2, L1, I1)

Complete in notes Section

Notice: Each matrix must have a title, row names, and column names!

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02 Adding and Matrix Basics.notebook

6

October 01, 2018

Sep 27­7:52 AM

Page 7: CLASS OPENER (Do NOW)mathparsons.weebly.com/uploads/3/8/0/1/38010429/day_02.pdf · scalar multiplication •Given a scenario, I can create a matrix and interpret its entries I can

02 Adding and Matrix Basics.notebook

7

October 01, 2018

Aug 15­10:16 PM

Matrix Basics

A = The Dimensions of a matrix are represented byits ROWS x COLUMNS

Each entry (element) in the matrix can be described by its position

A12 =  A23 = 

Page 8: CLASS OPENER (Do NOW)mathparsons.weebly.com/uploads/3/8/0/1/38010429/day_02.pdf · scalar multiplication •Given a scenario, I can create a matrix and interpret its entries I can

02 Adding and Matrix Basics.notebook

8

October 01, 2018

Aug 15­10:22 PM

Equal Matrices Solve for all variables in the equal matrices

Page 9: CLASS OPENER (Do NOW)mathparsons.weebly.com/uploads/3/8/0/1/38010429/day_02.pdf · scalar multiplication •Given a scenario, I can create a matrix and interpret its entries I can

02 Adding and Matrix Basics.notebook

9

October 01, 2018

Sep 7­1:20 PM

Practice with Group

Page 10: CLASS OPENER (Do NOW)mathparsons.weebly.com/uploads/3/8/0/1/38010429/day_02.pdf · scalar multiplication •Given a scenario, I can create a matrix and interpret its entries I can

02 Adding and Matrix Basics.notebook

10

October 01, 2018

Sep 7­1:20 PM

Check your answers

Page 11: CLASS OPENER (Do NOW)mathparsons.weebly.com/uploads/3/8/0/1/38010429/day_02.pdf · scalar multiplication •Given a scenario, I can create a matrix and interpret its entries I can

02 Adding and Matrix Basics.notebook

11

October 01, 2018

Aug 17­1:39 PM

U2, L1, Inv. 3    p. 84  #3 ­ 6    (Combining Matrices)

    Do your matrices have:­TITLE?­Row labels?­Column labels?

Label your notes!! date, page, title  AND  PI 2.1

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02 Adding and Matrix Basics.notebook

12

October 01, 2018

Oct 1­3:28 PM

U2, L1, Inv. 3    p. 84  #3 ­ 6    (Combining Matrices)

Page 13: CLASS OPENER (Do NOW)mathparsons.weebly.com/uploads/3/8/0/1/38010429/day_02.pdf · scalar multiplication •Given a scenario, I can create a matrix and interpret its entries I can

02 Adding and Matrix Basics.notebook

13

October 01, 2018

Sep 27­7:53 AM

Page 14: CLASS OPENER (Do NOW)mathparsons.weebly.com/uploads/3/8/0/1/38010429/day_02.pdf · scalar multiplication •Given a scenario, I can create a matrix and interpret its entries I can

02 Adding and Matrix Basics.notebook

14

October 01, 2018

Sep 29­9:05 PM

Combining Matrices Without ContextEx 1

Ex 2

Ex 3

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02 Adding and Matrix Basics.notebook

15

October 01, 2018

Aug 10­12:56 PM

Class AnnouncementsHomework:   Homework # 3→ Complete homework survey   

  (Due Oct.1/2)

   

Need Help?                       

Flex 1 ­ 4

September Birthdays 

Monse (9.6) Yareli 9.17

Paris (9.7) Miranda (9.1)

Jorge (9.8) Reyna (9.28)

Rachel J (9.1) Ryan B (9.12)

Jho (9.25) Rachel W (9.26)

Elijah (9.27)

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02 Adding and Matrix Basics.notebook

16

October 01, 2018

Sep 17­10:46 PM