1. Mathematics 2 Ms. Meek Gathering Data Review

2. A Venn diagram uses circles to show the relationship between sets of information. Venn Diagrams

3. Venn diagrams are great organizational tools for certain kinds of math word problems. They are also useful in organizing lists by categories or qualities. Venn Diagrams

4. Example (organizing a list): In the list below, which of the following foods are green, which foods are fruit, which are both green and fruit, and which are neither? blackberries, peas, limes, carrots, pears, broccoli, cherries, bananas, cabbage, and lemons Venn Diagrams

5. In the list below, which of the following foods are green, which foods are fruit, which are both green and fruit, and which are neither? blackberrieslimespeas cherriescabbage pearsbroccoli bananas lemons carrots Venn Diagrams

6. Fruit green food blackberrieslimespeas Cherriescabbage pearsbroccoli bananas lemons carrots both Venn Diagrams

7. Example: At a student breakfast, 30 kids drank milk with their food, 42 kids drank juice, and 12 kids had milk and juice. If everyone had at least one drink, how many people had a drink? Venn Diagrams

8. Example: At a student breakfast, 30 kids drank milk with their food, 42 kids drank juice, and 12 kids had milk and juice. If everyone had at least one drink, how many people had a drink? Of the 30 kids that drank milk, 12 of them also had juice. This means, that to find the number who ONLY had milk we must subtract. The same is true of those who drank juice. Venn Diagrams

9. MilkJuiceONLY 12 30-12= 42 – 12 = 18 30 both 30 42

10. Example: At a student breakfast, 30 kids drank milk with their food, 42 kids drank juice, and 12 kids had milk and juice. If everyone had at least one drink, how many people had a drink? 18 + 12 + 30 = 60 Venn Diagrams

11. A bar graph uses bars to represent and display data. The bottom of the graph ( x -axis) lists categories given to the group surveyed. The side of the graph ( y -axis) lists numbers. Bar Graphs

12. A grid is simply several horizontal and vertical lines drawn on a paper. Grid

13. Grid lines intersect (cross or meet) at different points on the grid. Today, we will learn how to find points on a grid using coordinates, or ordered pairs. Grid

14. Every grid has an x-axis and a y-axis. The x-axis is used with the first number in an ordered pair, and is on a horizontal line. The y-axis is used with the second number in an ordered pair, and is on a vertical line. X- Axis and Y-Axis

15. A point on a grid can be identified by an ordered pair such as (3, 2), which names the coordinates of that point. The first number tells how far to the right or left the point is located on the x-axis. The second number tells how far up or down the point is located on the y-axis. The numbers in an ordered pair are called coordinates. Ordered Pairs

16. A point on a grid can be identified by an ordered pair such as (3, 2), which names the coordinates of that point. Ordered Pairs

17. A point on a grid is useful when charting information on a line graph. Remember, the order of the pair matters. (3, 2) and (2,3) are coordinates for two different points on a grid. (2, 3) Ordered Pairs

18. Remember, the order of the pair matters. (3, 2) and (2,3) are coordinates for two different points on a grid. Always start at the origin of the grid, move over, and then move up. (2, 3) Origin Ordered Pairs

19. Find ordered pair (4, 2) 5 4 3 1 0 1 2 3 4 5 6 7 Practice 2

20. What is the ordered pair for the point? (5,3) 5 4 3 1 0 1 2 3 4 5 6 7 Practice 2

21. When we look at the relationship between two qualities that may be described as numbers (temperature, height, weight…) it is easy to use a line graph. For example, you might record your height each year to see how much you have grown, and you could see the changes on a line graph. Line Graphs

22. Since time can be described in numbers, line graphs are useful for describing changes that happen over a period of time. The line graph can show these changes as increases or decreases. The direction of the line indicates whether there is an increase (rise) or decrease (dip). Line Graphs

24. The x-axis and the y-axis are labeled by the qualities being described. Labels Line Graphs

25. We plot points the same way we plot ordered pairs. Look first at the value on the x-axis, and then the value on the y-axis. (8, 4) Line Graphs

26. We can see that as the years increase, so does the height. We know this because the line is rising. What happens at age 16? Line Graphs

27. When we want to record information we have gathered, we create a graph or chart. One type of graph is a pictograph. A pictograph organizes and shows information using pictures. Pictograph

28. Every pictograph has a title, pictures or symbols, labels and a key. Pictograph

29. title labels pictures  key Pictograph   

30. The key explains what symbols or abbreviations mean. A key might show that a picture stands for one or more than one. Pay careful attention to information in the key and be prepared to skip-count. Pictograph

31. In this pictograph, the key tells us that each crayon represents two children that like that color. This means, that a half crayon represents one student. How many children like the color red? 12 Pictograph

32. Who was surveyed for this information? The title tells us 3 rd grade students. Practice

33. According to the key, how many students does each ball represent? 10 students each Practice

34. Which sports are represented in the survey? Baseball, football, soccer, hockey, and basketball Practice

35. How many students play football? 30 students Practice

36. Every bar graph has a title, bars that show data and labels on each axis. title\\ labels Bar Graphs

37. The numbers on the y-axis do not always increase by 1. In this graph the numbers increase by 10. The amount by which the numbers increase is called the scale. Bar Graphs

38. In this bar graph, the scale tells us that we are counting by 5 as we move up the y-axis. Bar Graphs

39. What information is being recorded? The title tells us favorite pizza toppings. Practice

40. Which toppings are represented in the survey? cheese, mushroom, sausage, and pepperoni Practice

41. How many orders are for cheese pizza? 25 orders Practice