Objective 1 b Use matrices to solve mathematical situations and contextual problems. (DOK 2)

Slides:



Advertisements
Similar presentations
Practice Open-Ended Question (10 mins) Keeping Records at the Gas Station Juan has a part-time job at a gas station. Part of his responsibility is to keep.
Advertisements

EXAMPLE 1 Finding a Sale Price You are shopping for a guitar and find one with an original price of $160. The store is offering a 30% discount on all guitars.
EXAMPLE 2 Predicting Results Shopping You buy a T-shirt that costs $9.21. You give the clerk $ Estimate your change. Is this estimate high or low?
Two Step Equation Percentages Adding and Subtracting Adding -- Tax, Markup –Original amount + a percent of that amount –An item is marked up 75%
EXAMPLE 3 Solve a multi-step problem Manufacturing A company manufactures small and large steel DVD racks with wooden bases. Each size of rack is available.
PRESENTER: CARLA KIRKLAND Algebra I Remediation. NUMBER SENSE and OPERATIONS.
4.4 Matrices: Basic Operations. Addition and Subtraction of matrices To add or subtract matrices, they must be of the same order, mxn. To add matrices.
Chapter 4 Systems of Linear Equations; Matrices Section 4 Matrices: Basic Operations.
Warm-up 1.Review notes from Friday. 2.What is the dimension of the matrix below?
4.2 Adding and Subtracting Matrices 4.3 Matrix Multiplication
4.1 Using Matrices to Represent Data
EXAMPLE 1 Finding a Sale Price You are shopping for a guitar and find one with an original price of $160. The store is offering a 30% discount on all guitars.
Matrix Equations Step 1: Write the system as a matrix equation. A three-equation system is shown below.
4.2 Operations with Matrices Scalar multiplication.
Discounts, Sales Tax and Tip. What would the sale price be for a pair of pants that cost $48.00 after a 30% discount is given? Step 1: change the % into.
Algebra 2: Lesson 5 Using Matrices to Organize Data and Solve Problems.
Using Percents to Solve Problems
Holt McDougal Algebra 1 10-Ext Matrices 10-Ext Matrices Holt Algebra 1 Lesson Presentation Lesson Presentation Holt McDougal Algebra 1.
Why??  Percents are all around us! Sales and discounts shopping Sales Tax Income Taxes Tips on restaurant bills Etc…  When doing problems with % remember.
Row 1 Row 2 Row 3 Row m Column 1Column 2Column 3 Column 4.
Sales Tax, Discounts, and Commissions Section 6.7.
Math-7 NOTES DATE: ______/_______/_______ What: Consumer Applications Why: To solve problems involving tax, tips, discounts, etc. What: Consumer Applications.
DO NOW Define: Markup: An increase from the wholesale price of an item to the retail price. Discount: A decrease from the original price of an item to.
Section 3.9 Percents Mr. Beltz & Mr. Sparks. Ratio A PERCENT is a ratio that compares a number to 100. You can write a percent as a FRACTION, DECIMAL,
Yes, you can do it! Mind Calculation: Percent By Kitty Huang.
Multiple Discounts This presentation was created following the Fair Use Guidelines for Educational Multimedia. Certain materials are included under the.
4.1: Matrix Operations Objectives: Students will be able to: Add, subtract, and multiply a matrix by a scalar Solve Matrix Equations Use matrices to organize.
EXAMPLE 4 Use matrices to calculate total cost Each stick costs $60, each puck costs $2, and each uniform costs $35. Use matrix multiplication to find.
Matrix Algebra Section 7.2. Review of order of matrices 2 rows, 3 columns Order is determined by: (# of rows) x (# of columns)
One step equations Add Subtract Multiply Divide  When we solve an equation, our goal is to isolate our variable by using our inverse operations.  What.
8.2 Operations With Matrices
Unit 1-6: Operations with Matrices How could we organize the data?
Add and subtract matrices
Sec 4.1 Matrices.
 In this lesson we will go over how to solve a basic matrix equation such as the following: These are matrices, not variables.
Algebra Matrix Operations. Definition Matrix-A rectangular arrangement of numbers in rows and columns Dimensions- number of rows then columns Entries-
Warm Up Perform the indicated operations. If the matrix does not exist, write impossible
EXAMPLE 1 Add and subtract matrices
EXAMPLE 1 Finding a Sale Price Clothing You buy a pair of jeans that is 30% off the original price of $29. What is the sale price? STEP 1 Find the amount.
3.5 Perform Basic Matrix Operations Add Matrices Subtract Matrices Solve Matric equations for x and y.
Solving 2 step equations. Two step equations have addition or subtraction and multiply or divide 3x + 1 = 10 3x + 1 = 10 4y + 2 = 10 4y + 2 = 10 2b +
(4-2) Adding and Subtracting Matrices Objectives: To Add and subtract Matrices To solve certain Matrix equations.
Do Now: Perform the indicated operation. 1.). Algebra II Elements 11.1: Matrix Operations HW: HW: p.590 (16-36 even, 37, 44, 46)
Add and subtract matrices. Multiply by a matrix scalar.
§9-3 Matrix Operations. Matrix Notation The matrix has 2 rows and 3 columns.
Warm-UP A = 7-310B = C =7-4Find:A 22 and C 31 97Find: the dimensions of each -88 Matrix Find: A + B and B – A and C + B.
2.3 MODELING REAL WORLD DATA WITH MATRICES By the end of the section students will be able to add, subtract, and multiply matrices of various sizes. Students.
A rectangular array of numeric or algebraic quantities subject to mathematical operations. The regular formation of elements into columns and rows.
13.3 Product of a Scalar and a Matrix.  In matrix algebra, a real number is often called a.  To multiply a matrix by a scalar, you multiply each entry.
Write, Interpret and Use Mathematical Expression and Equations.
Tell whether the matrix is equal to the fundraiser matrix. Explain.
12-1 Organizing Data Using Matrices
Welcome!  Please grab your Textbook,
Warm-Up - 8/30/2010 Simplify. 1.) 2.) 3.) 4.) 5.)
EXAMPLE 1 Finding a Sale Price
Using Percents 7-10 Warm Up Problem of the Day Lesson Presentation
Matrix Operations SpringSemester 2017.
Matrix arithmetic: addition, subtraction and scalar multiplication
WarmUp 2-3 on your calculator or on paper..
25. Basic matrix operations
EQ: How do I solve an equation in one variable?
4.1 Matrices – Basic Operations
Inverse Matrices and Systems
Consumer Applications Review
1.8 Matrices.
What is the dimension of the matrix below?
Matrix Operations SpringSemester 2017.
Matrix Multiplication
1.8 Matrices.
Introduction to Matrices
Presentation transcript:

Objective 1 b Use matrices to solve mathematical situations and contextual problems. (DOK 2)

What is a matrix? How to solve word problems How to: Add matrices, Subtract matrices, Perform Scalar Multiplication Understand the Following:

3. The matrices below show the different numbers of students who participated in three of the sports at two high schools. Which of the following correctly represents the sum of the numbers of students who participated in the three sports at these two high schools? MSATP Alg I, Test 1, 1b

15.Matrix B is the result when matrix A is multiplied by a scalar. MSATP Alg I, Test 1, 1b

43. What values of x, y, z, and w make this matrix equation true? MSATP Alg I, Test 1, 1b

MSATP, Alg I, Test 2, 1b 6.Matrices A and B are shown below.

MSATP, Alg I, Test 2,1b 36. Andrew plans to buy 3 T-shirts and 3 sweaters. The price in dollars, including tax, of each T-shirt and sweater is shown in matrix C. The store is offering a 15% discount on all the items. Andrew determined the sale price of each item as shown in the matrix below. Which operation justifies the sale price of each item he plans to buy?

24 Matrix R is shown below. Which matrix represents -6R? MSATP Alg I, Test 3, 1B