Chapter_1_Lesson_6_Presentation_Glencoe_Math_Accelerated.pptx

Prealgebra

1. Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved. Glencoe Math Accelerated Chapter 1 The Language of Algebra Use with Lesson 6 Solve. 1. Alicia arrived home at 7:45 p.m. from the mall. She spent 45 minutes eating and one and a half hours shopping. If it took her 20 minutes to drive home, what time did she arrive at the mall? 2. In a stadium, there are 10 seats in the 1st row, 13 seats in the 2nd row, 16 seats in the 3rd row, and so on. How many seats are in the 10th row? 3. A number is multiplied by 8. Then 5 is subtracted from the product. The result is 43. What is the number? 4. TEST PRACTICE Each item in a vending machine costs 55 cents. If it gives back nickels, dimes, and quarters, what combinations are possible as change for one dollar? A. 5 C. 7 B. 6 D. 8

2. Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved. Glencoe Math Accelerated Chapter 1 The Language of Algebra ANSWERS 1. 5:10 P.M. 2. 37 seats 3. 6 4. D Use with Lesson 6

3. How can you use numbers and symbols to represent mathematical ideas? Lesson 1-6

4. How to use: ordered pairs to locate points graphs to represent relations Lesson 1-6

5. 1. Graph each ordered pair on a coordinate plane. a. J (5, 3) b. K (0, 4) a. 1 Need Another Example? 2 Start at the origin. Since the x -coordinate is 5, move 5 units to the right. Since the y -coordinate is 3, move 3 units up. Draw a dot. b. Start at the origin. Since the x -coordinate is 0, you do not need to move right. Since the y -coordinate is 4, move 4 units up. Draw the dot on the axis.

6. Graph each ordered pair on a coordinate plane. a. (3, 4) b. (0, 2) Answer

7. 2. Write the ordered pair that names each point. a. A b. B 1 The ordered pair for point A is (2, 6). Need Another Example? 2 b. The x -coordinate of point B is 3, and the y -coordinate is 0. The ordered pair for point B is (3, 0). 3 a. Start at the origin. Move right on the x -axis to find the x -coordinate of point A , which is 2. Move up the y -axis to find the y -coordinate, which is 6.

8. Write the ordered pair that names each point. a. G b. H a. G (1, 1) b. H (4, 0) Answer

9. 3. Express the relation {(0, 2), (1, 4), (2, 5), (3, 8)} as a table. Then determine the domain and range. 1 The domain is {0, 1, 2, 3}, and the range is {2, 4, 5, 8}. Need Another Example? 2

10. Express the relation {(1, 4), (2, 2), (3, 0), (0, 2)} as a table. Then determine the domain and range. D = {0, 1, 2, 3}, R = {0, 2, 4} Answer

11. 4. A seahorse swims at a rate of about 5 feet per hour. a. Make a table of ordered pairs in which the x -coordinate represents the hours and the y -coordinate represents the number of feet for 1, 2, and 4 hours. b. Graph the ordered pairs and describe the graph. a. 1 The points appear to lie in a line. Need Another Example? 2

12. John earns $5 an hour doing yard work. a. Make a table of ordered pairs in which the x -coordinate represents the hours worked and the y -coordinate represents the amount of money José earns for 1, 2, 3, and 5 hours of work. b. Graph the ordered pairs and describe the graph. a. Answer b. The point appears to lie on a line.

13. coordinate system coordinate plane x -axis y -axis origin ordered pairs Lesson 1-6 x -coordinate y -coordinate graph relation domain range

14. Lesson 1-6 How can you use numbers and symbols to represent mathematical ideas? How did what you learned today help you answer the

15. Write about how graphing ordered pairs and relations might help you with using words, equations, tables, and graphs to represent relations. Lesson 1-6 Ratios and Proportional Relationships