Construction Scalar Multiplication of Matrices HS NVM C

Construction Scalar Multiplication of Matrices HS. N-VM. C. 7

Bellwork 123 rf. com • Think about a time in your life when you had to give the same thing to everyone. • Write down a example on your note-taker. • Share with your partner.

Math Check Basic multiplication skills are needed to be successful in this lesson on matrices. Do not use a calculator 1. 2. 3.

Math Check Answers Basic skills are needed to be successful in this lesson on matrices. Do not use a calculator 1. = 35 2. = -5 3. =

Objectives 1. 2. 3. 4. Define terminology Define scalar multiplication of a matrix Multiply a matrix by a scalar Use scalar multiplication of a matrix for real world problems

Terminology

Scalar Multiplication • When you multiply any matrix by a constant or scalar you multiply each element by the scalar. • Do you see a pattern?

Connections What mathematical property does scalar multiplication remind you of? mathproblemsformiddleshcoolclassroom. blogspot. com

Think-Pair-Share Discuss with your partner what property scalar multiplication reminds you of and be ready to share WHY? PROPERTY OF AZ CTE CURRICULUM CONSORTIUM, 2013

? Thumbs up / Thumbs down Did you get Distributive Property of Multiplication PROPERTY OF AZ CTE CURRICULUM CONSORTIUM, 2013 coolmath. com

Example 1 • Multiply

Do the math!

Example 1 Answer

U-try! 1. 2.

Write on your Slates Work the U-try! PROPERTY OF AZ CTE CURRICULUM CONSORTIUM, 2013

U-try! Answers 1. 2.

Applications in Construction • An construction company following workers: – construction manager – plumber – carpenter hires the $47 per hour $26 per hour $23 per hour

Applications matrices • An construction shop employees the following: – construction manager $47 per hour – plumber $26 per hour – carpenter $23 per hour 1. Write this as a matrix 2. Use scalar multiplication to find the amount of their raise if they received a 10% raise.

Applications Construction Answers • An construction shop employees – construction manager – plumber – carpenter the following: $47 per hour $26 per hour $23 per hour 1. Write this as a matrix 2. Use scalar multiplication to find the amount of their raise if they received a 10% raise.

U-try! • An inventory of the building supplies was conducted with the following results: 8 ft 10 ft 2 4 X X 4’s 8’s 6’s 200 150 80 120 110 50 90

Think-Pair-Share Work with your partner to create the matrix. PROPERTY OF AZ CTE CURRICULUM CONSORTIUM, 2013

U-try! Answer • An inventory of the building supplies was conducted with the following results: 8 ft 10 ft 2 4 X X 4’s 8’s 6’s 200 150 80 120 110 50 90

U-try Scalar Multiplication • The following is data from repairs performed by the repair department of a local builder. – paint 30 east side 20 north side – plumbing 25 east side 12 north side – AC 40 east side 13 north side – electrical 35 east side 19 north side Write a matrix for this situation. The repair department has assured the service providers this will triple in February. Use scalar multiplication to find how many repairs will be done in February.

Answer

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