1. 7 th Grade Math 1/19/15

2. Monday – No School

3. Tuesday: Bell Work

4. Agenda 1- bell work 2- Agenda- project due 1/23 *classwork grade 3- Vocabulary 4- Objective 5- lesson *Sequences 6- exit ticket

5. 13. Prediction What does this word mean to you? This word actually means….. something you can reasonably expect to happen in the future. Examples… Explain how you would use this word in math.

6. Objective SPI 0706.1.2 Generalize a variety of patterns to a symbolic rule from tables, graphs, or words.

7. Lesson Sequences Reminders: When looking for the type of sequence ONLY look at the y values. When looking for the function look at the N and Y values and their relationship. The left-right (horizontal) direction is commonly called X. The up-down (vertical) direction is commonly called Y.

8. Holli keeps a list showing her cumulative earnings for walking her neighbor’s dog. She recorded $1.25 the first time she walked the dog, $2.50 the second time, $3.75 the third time, and $5.00 the fourth time. Write a function that describes the sequence, and then use the function to predict her earnings after 9 walks. Write the number of walks she recorded; 1.25, 2.50, 3.75, 5.00. Make a function table.

9. Using Functions to Extend Sequences Holli keeps a list showing her cumulative earnings for walking her neighbor’s dog. She recorded $1.25 the first time she walked the dog, $2.50 the second time, $3.75 the third time, and $5.00 the fourth time. Write a function that describes the sequence, and then use the function to predict her earnings after 9 walks. Write the number of walks she recorded; 1.25, 2.50, 3.75, 5.00. Make a function table.

10. Additional Example 3 Continued Multiply n by 1.25. 9 walks correspond to n = 9. When n = 9, y = 1.25 9 = 11.25. Holli would earn $11.25 after 9 walks. y = 1.25n 5.004 3.753 2.502 1.251 yRulen 1 1.25 2 1.25 3 1.25 4 1.25 Write the function.

11. Check It Out: Example 3 Jeff keeps a list showing his cumulative earnings for washing cars. He recorded $2.50 the first time he washed a car, $5 the second time, $7.50 the third time, and $10 the fourth time. Write a function that describes the sequence, and then use the function to predict his earnings after 8 car washes. Write the number of car washed he recorded; 2.50, 5.00, 7.50, 10.00. Make a function table.

12. Check It Out: Example 3 Continued Multiply n by 1.25. 8 car washed correspond to n = 8. When n = 8, y = 2.50 8 = 20. Jeff would earn $20. after 8 car washes. y = 2.50n 10.004 7.503 5.002 2.501 yRulen 1 2.50 2 2.50 3 2.50 4 2.50 Write the function.

13. Exit Ticket Partner Discussion When could you see sequences in real life?

14. Wednesday: Bell Work

15. Agenda 1- bell work 2- Agenda- project due 1/23 *classwork grade 3- Vocabulary 4- Objective 5- lesson *Function Tables 6- exit ticket

16. 14. Quartile What does this word mean to you? This word actually means….. three values (one of which is the median) that divide a set of data into fourths. Examples… Explain how you would use this word in math.

17. Objective SPI 0706.1.2 Generalize a variety of patterns to a symbolic rule from tables, graphs, or words.

18. Exit Ticket Partner Discussion What do the X and Y values refer to on a graph?

19. Lesson: Ch 5 L 5

20. The graph at right shows how far a kayak travels down a river if the current flows 2 miles per hour. The graph is linear because all the points fall on a line. It is part of the graph of a linear equation. A linear equation is an equation whose graph is a line. The solutions of a linear equation are the points that make up its graph. Linear equations and linear graphs can be different representations of linear functions. A linear function is a function whose graph is a nonvertical line. y 0 24 2 4 6 x Miles Hours 0

21. Only two points are needed to draw the graph of a linear function. However, graphing a third point serves as a check. You can use a function table to find each ordered pair.

22. Graph the linear function y = 4x - 1. Additional Example 1: Graphing Linear Functions Input RuleOutput Ordered Pair x4x – 1y(x, y) ‏ 0 1 –1 4(0) – 1 4(1) – 1 4(–1) – 1 –1 3 –5 (0, –1) ‏ (1, 3) ‏ (–1, –5) ‏

23. Additional Example 1 Continued Graph the linear function y = 4x - 1. Place each ordered pair on the coordinate grid and then connect the points with a line. x y 0 –2 –4 24 2 4 –2 –4 (0, –1) ‏ (1, 3) ‏ (–1, –5) ‏

24. Graph the linear function y = 3x + 1. Input RuleOutput Ordered Pair x3x + 1y(x, y) ‏ 0 1 –1 3(0) + 1 3(1) + 1 3(–1) + 1 1 4 –2 (0, 1) ‏ (1, 4) ‏ (–1, –2) ‏ Check It Out: Example 1

25. Check It Out: Example 1 Continued Graph the linear function y = 3x + 1. Place each ordered pair on the coordinate grid and then connect the points with a line. x y 0 –2 –4 24 2 4 –2 –4 (0, 1) ‏ (1, 4) ‏ (–1, –2) ‏

26. Thursday: Bell Work

27. Agenda 1- bell work 2- Agenda- project due 1/23 *classwork grade 3- Vocabulary 4- Objective 5- lesson *Function Tables 6- exit ticket

28. 15. Interquartile What does this word mean to you? This word actually means….. the difference between the upper and lower quartiles in a box & whisker plot. Examples… Explain how you would use this word in math.

29. Objective SPI 0706.1.2 Generalize a variety of patterns to a symbolic rule from tables, graphs, or words.

30. Need 2 Know

31. Lesson Ch 5 L 5

32. The fastest-moving tectonic plates on Earth move apart at a rate of 15 centimeters per year. Scientists began studying two parts of these plates when they were 30 centimeters apart. Write a linear function that describes the movement of the plates over time. Then make a graph to show the movement over 4 years. Additional Example 2: Earth Science Application Begin by making a function table. Include a column for the rule.

33. Additional Example 2 Continued OutputRuleInput 15(x) + 30 x 0 2 4 15(0) + 30 15(2) + 30 15(4) + 30 y 30 60 90 Let x represent the input and y represent the output. Multiply the input by 15 and then add 30. The function is y = 15x + 30, where x is the number of years and y is the total centimeters apart the two plates are.

34. Check It Out: Example 2 Dogs are considered to age 7 years for each human year. If a dog is 3 years old today, how old in human years will it be in 4 more years? Write a linear equation which would show this relationship. Then make a graph to show how the dog will age in human years over the next 4 years. Begin by making a function table. Include a column for the rule.

35. Check It Out: Example 2 Continued OutputRuleInput 7(x) + 21 x 0 2 4 7(0) + 21 7(2) + 21 7(4) + 21 y 21 35 49 Let x represent the input and y represent the output. Multiply the input by 7 and then add 21. The function is y = 7x + 21, where x is the number of years and y is the total age of the dog in human years.

36. Exit Ticket Partner Discussion What skills were needed for the N2K?

37. Friday: Bell Work

38. Agenda 1- bell work 2- Agenda- project due 1/23 *classwork grade 3- Vocabulary 4- Objective 5- lesson *Function Tables 6- exit ticket

39. 16. Mean What does this word mean to you? This word actually means….. the sum of the items in a set of data divided by the number of items in the set (average). Examples… Explain how you would use this word in math.

40. Objective SPI 0706.1.2 Generalize a variety of patterns to a symbolic rule from tables, graphs, or words.

41. Lesson Ch 5 L 5 WS in class

42. Exit Ticket Partner Discussion What is the purpose of plotting a 3 rd point when graphing?