Homework Corrections (page 1 of 4) A#10 / Holt Ch. 4 Are You Ready? #1 – 34; Holt Ch. 10 Are You Ready? #1 – 31 Holt Ch. 4 AYR? 1. D 6 – 13. 2. C 3. F 4. B 5. E 14. (-2, 3); (-1, 1); (0, -1); (1, -3); (2, 5) 15. (-2, -1); (-1, 0); (0, 1); (1, 2); (2, 3) 16. (-2, -4); (-1, -1); (0, 0); (1, -1); (2, -4)

Homework Corrections (page 2 of 4) A#10 / Holt Ch. 4 Are You Ready? #1 – 34; Holt Ch. 10 Are You Ready? #1 – 31 Holt Ch. 4 AYR? cont. 17. (-2, 1); ; (0, 2); ; (2, 3) 18. (-2, 1); (-1, 0); (0, 1); (1, 4); (2, 9) 19. (-2, 9); (-1, 4); (0, 1); (1, 0); (2, 1) 20. x = 21. t = 7 22. p = -45 23. n = 9 24. r = 7 25. x = 16 26. g = 5 27. x = 11 28. x = -9 29.

Homework Corrections (page 3 of 4) A#10 / Holt Ch. 4 Are You Ready? #1 – 34; Holt Ch. 10 Are You Ready? #1 – 31 Holt Ch. 4 AYR? cont. 30. 31. 32. 33. 34.

Lesson Objective: I will be able to … Match simple graphs with situations Graph a relationship Language Objective: I will be able to … Read, write, and listen about vocabulary, key concepts, and examples

Example 1: Relating Graphs to Situations Each day several leaves fall from a tree. One day a gust of wind blows off many leaves. Eventually, there are no more leaves on the tree. Choose the graph that best represents the situation. Step 1 Read the graphs from left to right to show time passing.

Example 1: Relating Graphs to Situations Page 2 The air temperature increased steadily for several hours and then remained constant. At the end of the day, the temperature increased slightly before dropping sharply. Choose the graph that best represents this situation. Step 1 Read the graphs from left to right to show time passing .

The correct graph is graph C. Example 1 (Continued) Page 2 Step 2 List key words in order and decide which graph shows them. Key Words Segment Description Graphs Increased steadily Remained constant Increased slightly before dropping sharply Slanting upward Graph C Horizontal Graphs A, B, and C Slanting upward and then steeply downward Graphs B and C Step 3 Pick the graph that shows all the key phrases in order. The correct graph is graph C.

Some graphs are connected lines or curves called continuous graphs. Page 1 Example: Some graphs are connected lines or curves called continuous graphs. Water tank Water Level Time Some graphs are only distinct points. They are called discrete graphs. Example:

Example 2: Sketching Graphs for Situations Page 3 Example 2: Sketching Graphs for Situations Sketch a graph for the situation. Tell whether the graph is continuous or discrete. A truck driver increases speed as he enters a busy street, drives at a constant speed, stops at a light, speeds up, and then drives at a constant speed. As time passes during the trip (moving left to right along the x-axis) the truck's speed (y-axis) does the following: Speed Time y x • initially increases • remains constant • decreases to a stop • increases The graph is continuous.

Example 3: Sketching Graphs for Situations Page 3 Sketch a graph for the situation. Tell whether the graph is continuous or discrete. A small bookstore sold between 5 and 8 books each day for 7 days. The number of books sold (y-axis) varies for each day (x-axis). Since the bookstore accounts for the number of books sold at the end of each day, the graph is 7 distinct points. The graph is discrete.

Example 4: Writing Situations for Graphs Page 4 Example 4: Writing Situations for Graphs Write a possible situation for the given graph. Step 1 Identify labels. x-axis: time y-axis: speed Step 2 Analyze sections. over time, the speed: • initially decreases, • remains constant, • and then decreases to zero. Possible Situation: A car approaching traffic slows down, drives at a constant speed, and then slows down until coming to a complete stop.

Lesson Quiz: Part I 1. Write a possible situation for the given graph. Possible Situation: The level of water in a bucket stays constant. A steady rain raises the level. The rain slows down. Someone dumps the bucket.

Classwork Assignment #11 Graphing Worksheet Holt 4-1 #7-16