1. Warm-Up Write an equation for the following information. 1.I bought sandwiches at $3.99 a piece and drinks at $1.99 a piece. I spent a total of $21.93. 2. At the school store, I bought notebooks for $2 and pencils for $.50 each. I received $8 change from a $20 bill. 3.99 x + 1.99 y = 21.93 2x +.5y = 12

2. Matrices Learning Task Brookwood High School Booster Club

3. Situation In order to raise money for the school, the Brookwood High School Booster Club offered spirit items prepared by members for sale at the school store and at games. They sold stuffed teddy bears dressed in school colors, tote bags and tee shirts with specially sewn and decorated school insignias. The teddy bears, tote bags, and tee shirts were purchased from wholesale suppliers and decorations were cut, sewn and painted, and attached to the items by booster club parents.

4. Cost The wholesale cost for each teddy bear was $4.00, each tote bag was $3.50 and each tee shirt was $3.25. Materials for the decorations cost $1.25 for the bears, $0.90 for the tote bags and $1.05 for the tee shirts.

5. Time Parents estimated the time necessary to complete a bear was 15 minutes to cut out the clothes, 20 minutes to sew the outfits, and 5 minutes to dress the bears. A tote bag required 10 minutes to cut the materials, 15 minutes to sew and 10 minutes to glue the designs on the bag. Tee shirts were made using computer generated transfer designs for each sport which took 5 minutes to print out, 6 minutes to iron on the shirts, and 20 minutes to paint on extra detailing.

6. The following is a__________, a rectangular array of values, showing the wholesale cost of each item as well as the cost of decorations. “Wholesale" and "decorations" are labels for the matrix ________ and "bears", "totes", and "shirts" are labels for the matrix ___________. The dimensions of this matrix called A are 2 rows and 3 columns and matrix A is referred to as a [_________] matrix. Each number in the matrix is called an ________. Wholesale Decorations A = bears totes shirts matrix rows columns 2 x 3 entry 4.00 3.50 3.25 1.25.90 1.05

7. It is sometimes convenient to write matrices (plural of matrix) in a simplified format without labels for the rows and columns. Matrix A can be written as an___________. A = 4.00 3.50 3.25 1.25.90 1.05 array A = a 11 a 12 a 13 a 21 a 22 a 23 In this system, the entry a 22 = _______, is the cost of decorations for tote bags..90

8. Row 1 Row 2 Row 3 Row m Column 1Column 2Column 3 Column 4 A=

9. A matrix of m rows and n columns is called a matrix with dimensions m x n. That’s Row x Column And a…

10. 2 X 3 3 X 3 2 X 1 1 X 2

11. 3 X 22 X 23 X 3 1 X 22 X 11 X 1

12. b 34 =–7 b 42 = – 5 b 54 =3 e 32 =–2 g 21 =–3 d 21 =Does not exist 7 in X x 21 0 in Uu 11 -5 in Pp 12

13. Amount of Time Parents estimated the time necessary to complete a bear was 15 minutes to cut out the clothes, 20 minutes to sew the outfits, and 5 minutes to dress the bears. A tote bag required 10 minutes to cut the materials, 15 minutes to sew and 10 minutes to glue the designs on the bag. Tee shirts were made using computer generated transfer designs for each sport which took 5 minutes to print out, 6 minutes to iron on the shirts, and 20 minutes to paint on extra detailing. Cut/print Sew/iron Attach/dress/paint B = bears totes shirts 15 10 5 20 15 6 5 10 20

14. Number Produced The booster club parents made spirit items at three different work meetings and produced 30 bears, 30 tote bags, and 45 tee shirts at the first session. Fifteen bears, 25 tote bags, and 30 tee shirts were made during the second meeting; and, 30 bears, 35 tote bags and 75 tee shirts were made at the third session. 1 st session 2 nd session 3 rd session C = bears totes shirts 30 30 45 15 25 30 30 35 75

15. Items Sold In the first month of school, 10 bears, 15 tote bags, and 50 tee shirts were sold at the bookstore. During the same time period, Booster Club members sold 50 bears, 20 tote bags, and 100 tee shirts at the games. Bookstore Game D = bears totes shirts 10 15 50 50 20 100

16. Sale Price They sold the bears for $12.00 each, the tote bags for $10.00 each and the tee shirts for $10.00 each. Sale Price E = bears totes shirts 12 10 10