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5-Minute Check 1

A B C D. Name the property shown by the statement (4 b ) c = 4( bc ). A. Multiplicative Identity B. Additive Identity C. Associative Property of Addition D. Associative Property of Multiplication. Name the property shown by the statement 4 y + 0 = 4 y .

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5-Minute Check 1

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  1. A B C D Name the property shown by the statement (4b)c = 4(bc). A. Multiplicative Identity B. Additive Identity C. Associative Property of Addition D. Associative Property of Multiplication Name the property shown by the statement 4y + 0 = 4y. A. Multiplicative Identity B. Additive Identity C. Commutative Property of Addition D. Associative Property of Addition 5-Minute Check 1

  2. Splash Screen

  3. You have already graphed numbers on number lines. (Previous Course) • Use ordered pairs to locate points. • Use graphs to represent relations. Then/Now

  4. coordinate system • x-coordinate • coordinate plane • y-axis • origin • x-axis • ordered pair • y-coordinate • graph • relation • domain • range Vocabulary

  5. It is two intersecting lines drawn to find locations These intersecting lines are the x-axis (horizontal axis) and the y-axis (vertical axis) These locations are called ordered pairs. An ordered pair is written as its x-value and its y-value or (x,y) Example: (3,4) means go 3 right and 4 up. The point (0,0) is referred to as the origin What is the coordinate plane?

  6. The intersecting lines break the coordinate plane into four Quadrants. These regions allow us to locate on a coordinate plane where certain points are located Quadrants

  7. Y-axis Quadrant 2 (-,+) Quadrant 1 (+,+) X-axis Quadrant 3 (-,-) Quadrant 4 (+,-) Origin (0,0) I give you the Coordinate Plane (we need graph paper now)

  8. Graph Ordered Pairs A. Graph the ordered pair (3, 4) on a coordinate plane. Answer: Step 1 Start at the origin. Step 2 Since the x-coordinate is 3, move 3 units to the right. Step 3 Since the y-coordinate is 4, move 4 units up. Draw a dot. Example 1A

  9. Graph Ordered Pairs B.Graph the ordered pair (0, 2) on a coordinate plane. Answer: Step 1 Start at the origin. Step 2 Since the x-coordinate is 0, you will not need to move to the right. Step 3 Since the y-coordinate is 2, move 2 units up. Draw a dot. Example 1B

  10. A B C D A. B. C.D. none of the above A.Graph the ordered pair (2, 5) on a coordinate plane. Example 1A

  11. A B C D A.B. C.D. none of the above B.Graph the ordered pair (4, 0) on a coordinate plane. Example 1B

  12. Identify Ordered Pairs A.Write the ordered pair that names point G. Step 1 Start at the origin. Step 2 Move right on the x-axis to find the x-coordinate of point G, which is 1. Step 3 Move up the y-axis to find the y-coordinate, which is 1. Answer: The ordered pair for G is (1, 1). Example 2A

  13. Identify Ordered Pairs B.Write the ordered pair that names point H. Step 1 Start at the origin. Step 2 Move right on the x-axis to find the x-coordinate of point H, which is 4. Step 3 Since the y-coordinate is zero, you will not need to move up. Answer: The ordered pair for H is (4, 0). Example 2B

  14. A B C D A. Write the ordered pair that names point A. A. (2, 5) B. (3, 5) C. (2, 3) D. (3, 2) Example 2A

  15. A B C D B. Write the ordered pair that names point B. A. (6, 6) B. (0, 6) C. (0, 0) D. (6, 0) Example 2B

  16. Domain is the collection of all the x-values in a relation or a graph • Range is the collection of all the y-values in a relation or a graph

  17. Relations as Tables Express the relation {(1, 4), (2, 2), (3, 0), (0, 2)} as a table. Then determine the domain and range. Answer: The domain is {0,1, 2, 3}. The range is {0, 2, 4}. Example 3

  18. A B C D Express the relation {(4, 1), (3, 2), (0, 1), (2, 3)} as a table. Then determine the domain and range. A. D = {1, 2, 3}, R = {0, 2, 3, 4} B. D = {0, 2, 3, 4}, R = {1, 2, 3} C. D = {2, 3, 4}, R = {1, 2, 3} D. D = {1, 2, 3}, R = {2, 3, 4} Example 3

  19. Relations as Graphs EARNINGS José 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-coordinaterepresents the amount of money José earns for 1, 2, 3, and 5 hours of work. Answer: Example 4A

  20. Relations as Graphs EARNINGS José earns $5 an hour doing yard work. B. Graph the ordered pairs and describe the graph. Example 4B

  21. Relations as Graphs Answer: The points appear to lie on a line. Example 4B

  22. End of the Lesson

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