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Homeroom Instruction Come in quickly & quietly Go to your desk. Take out your AR book and read Raise your hand to ask to sharpen your pencil. Put your.

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Presentation on theme: "Homeroom Instruction Come in quickly & quietly Go to your desk. Take out your AR book and read Raise your hand to ask to sharpen your pencil. Put your."— Presentation transcript:

1 Homeroom Instruction Come in quickly & quietly Go to your desk. Take out your AR book and read Raise your hand to ask to sharpen your pencil. Put your backpack underneath your desk. No talking.

2 Bellwork Day One Number of Servings (n) Number of Bananas (b) Number of Servings (n) Number of Bananas (b) Number of Servings (n) Number of Bananas (b) Number of Servings (n) Number of Bananas (b) A.B. C. D.

3 Word of the Week

4 What do they have in common? (Science)

5 Objective I can represent proportional relationships in multiple ways. I can create functions from words and graph points. I can find missing values within a function table.

6 Function Tables & Graphing What is the rule for this function table? F. y = x + 5 G. y = 2x + 3 H. y = 3x – 1 J. y = 6x

7 Functions & Function Tables The perimeter of a square is 4 times the length of one side. Step One: Create a function Step Two: Substitute the inputs/output values Step Three: Solve & Check for accuracy Square Side Length (inches) Perimeter (inches)

8 Function Table and Ratios Total Number of students Instagram A recent survey of middle school students found that 1 out of 4 have an Instagram account and 1 out of 9 have a YouTube account. a.Complete the table. b. As the total number of students increased by 36, how did the number of students have a Instagram account increase?

9 Card Matching Take out the color-coded cards and place on your desk in the corresponding area. (eg. Function under function, graphs under graphs etc) Flip the Yellow Cards over and place them in the correct order on your desk. Match the cards with one another. Bell will sound in 5 minutes to review After review: put cards back in ziplock bag and underneath the desk

10 Butcher Paper Activity Read the problem Create a function with the statement. Write the function on a sticky note. Complete the table with sticky notes. Write your order pairs and graph with a dry erase marker. Completion: Think about other ways to create a function from the graph. After 10 minutes, the bell will sound. Upon the sound of the bell, be quiet and move your desk to their correct location. We will review the problems together. (3 strikes)-Talking too loudly, Getting out of seat without teacher permission, & talking outside of groups.

11 Grading Terrance’s Quiz Work independently and quietly for 4 minutes. Go: Work with your partner and grade the students quiz. You will give the student feedback on why his answer is incorrect. Once the bell sounds, move your desk to the correct area and remain quiet will reviewing assignment. (3 strikes)-Talking too loudly, Getting out of seat without teacher permission, & talking outside of groups.

12 Homeroom Instruction Come in quickly & quietly Go to your desk. Take out your AR book and read Raise your hand to ask to sharpen your pencil. Put your backpack underneath your desk. No talking.

13 Bellwork Day Two

14 Word of the Week

15

16 If you could create you dream ride, what would it look like? A scale drawing is used to create various models and rides. What do you think would happen if the builders did not write the proportion correctly to create a ride?

17 Objective I can solve problems and identify the constant of proportionality within function tables and word problems.

18 Constant of Proportionality In a proportional relationship, the ratio between two values is always the same, or constant. This is called the constant of proportionality. Y=½x y=2x y=-¾x 3 out of five student prefer school assemblies held on Friday. If 200 students were surveyed how many preferred pep rallies on Friday.

19 Constant of Proportionality 1.)The constant of proportionality between the number of children (c) & the number of teachers (t) is 14/3. There are 70 children on a field trip. How many teachers are on a trip? Answer: 2.) The table shows the number of pounds of materials each class recycled. Calculate the constant of proportionality, k, for each proportional relationship given. GradeGlassPaper Fifth4263 Sixth3045

20 Cell Phone Ownership Directions: Determine if the relationships are proportional. Of the 210 boys in the 8 th grade, 190 have a cell phone. Of the 168 girls in the 8 th grade, 152 have a cell phone. Method 1= See if ratios are proportionate by cross multiplying Method 2= Converting both to decimals Method 3= Simplifying the ratios. 8 th Grade Class Cell Phones Total Boys Girls

21 Sports Directions: Determine if the relationships are proportional. Of the 75 boys in the 7 th grade class, 25 participated in at least one sport. Of the 120 girls in the 7 th grade class. 30 participate in at least one sport. Method 1= See if ratios are proportionate by cross multiplying Method 2= Converting both to decimals Method 3= Simplifying the ratios. 7 th Grade Class Plays Sports Total Boys 2575 Girls 30120

22 Question #1 Calculate the constant of proportionality, k, for each proportional relationship given. The table shows the number of pounds of materials each class recycled. GradeGlass (pounds) Paper (pounds) Fifth4263 Sixth3045

23 Question #2 The table shows the number of votes each candidate received. Calculate k for the ratio between the votes from boys and the votes from girls. CandidateVotes from Girls Votes from Boys Anita2835 Joey1620

24 Question #3 Ms. Kline drove at a steady rate for 40 minutes. She drove 30 miles during that time. Calculate k for the ratio between the number of miles and number of minutes she drove.

25 Question #4 The table shows the costs for different numbers of pounds of peaches. Calculate k for the ratio between the total cost and the number of pounds. Number of Pounds Total Cost 3$3.75 7$8.75 8$10

26 Question #5 Heather earns $13.50 for 3 hours of babysitting. Calculate k for the ratio between the amount. Heather earns and the number of hours she babysits.

27 Question #6 A store is having a going-out-of- business sale and every item is discounted by the same percent. A clock that was $60 is now $21. A chair that was $120 is now $42. Calculate k for the ratio between the sale price and the original price.

28 Question #7 The table shows the heights of two white pine trees measured each of the past two summers. Calculate k for the ratio between the second year height and the first year height. TreeFirst Year Height Second Year Height White Pine White Pine 233.9

29 Homeroom Instruction Come in quickly & quietly Go to your desk. Take out your AR book and read Raise your hand to ask to sharpen your pencil. Put your backpack underneath your desk. No talking.

30 Bellwork Day Three

31 Word of the Week

32 Candy Review Identify the Constant of Proportionality 1. y=kx2. 5x=y 3. 2 out of 3 students have an iPod in 8 th grade.

33 Objective I can write equations & solve word problems with the constant of proportionality. I can determine the constant of proportionality from a graph

34 The Farm & Profits Suppose that the number of bushels (b) of wheat that a farm yields varies directly with the size of the farm in acres (a), and that the constant of proportionality is 22. Write an equation representing the relationship between the size of the farm and the number of bushels of wheat the farm yields. Complete the table Size of Farm (a) # of Bushels (b)

35 Dog Training Sue spent $660 on 12 hours of obedience training for her dog Muffin. Jon wants to use the same dog trainer for his dog Tex, but he only has $440 to spend. How many hours of training can he get for Tex? Explain your reasoning. What is the constant of proportionality? Write as a function?

36 Bananas & Currency What is the constant of proportionality? Write as an equation. What is the amount of pence for 10 bananas? Is it a direct variation & why?

37 Activity Instructions When I say go. Place problems on chest and go to your area (team 1 & 2) Order the numbers & match the problems with the answers. The first group to match the problems with the answer correctly, in the same order, with hands raised and quiet will win the game.

38 Homeroom Instruction Come in quickly & quietly Go to your desk. Take out your AR book and read Raise your hand to ask to sharpen your pencil. Put your backpack underneath your desk. No talking.

39 Bellwork Day Four Terrance correctly recognized the rule used on the value of each term to produce the next term in the following pattern. 4, 11, 25, 53, … Which rule did he recognize? F. Add 7 G. Add 14 H. Double the number and add 3 J. Triple the number and subtract 1

40 Word of the Week

41 Candy Review Is this an example of a direct variation? Why? Which letter represents the x axis?

42 Objective I can determine the constant of proportionality from a graph

43 Direct Variation When values vary so that one increases or decreases a specific amount, the other value increases or decreases by a constant. A. B. C.

44 Bananas & Currency What is the constant of proportionality? Write as an equation. What is the amount of pence for 10 bananas? Is it a direct variation & why? What does (3, 60) mean?

45 Weight & Energy The graph shows that the amount of energy used varies directly with the person’s weight. What is the ratio of the vertical distance to the horizontal distance on the graph between the points (100, 500) and (300,1500 )?

46 Cutting Activity Cut the various pieces and place the problems in the correct order. Answer the question, explain, and show your work. Completion: Read AR until we discuss in class.

47 Homeroom Instruction Come in quickly & quietly Go to your desk. Take out your AR book and read Raise your hand to ask to sharpen your pencil. Put your backpack underneath your desk. No talking.

48 Bellwork Day Five A gift shop uses a formula to determine the cost for wrapping a gift: c= p, where c is the cost of wrapping and p is the number of pounds. What is the cost of shipping a package that weighs 3 pounds?

49 Word of the Week

50 Have you been to a game before?

51 What is another way to illustrate your sales of the drinks

52 Objective I can solve and analyze points on a graph. I can create equations that show the relationship between two variables.

53 Box Production What is the constant of proportionality? Express the relationship of the cost and the number of boxes as an equation. What does (2, 50) mean?

54 Cost Graph The graph shows that the amount of energy used varies directly with the person’s weight. What is the ratio of the vertical distance to the horizontal distance on the graph between the points (200,000, 20,000)?

55 Total Revenue & Quantity of Product What are the units/measurem ents on the graph? What does (200, 600) mean? Write the function.

56 Daisies & Time The number of daisies (d) that the average flower shop uses to create bouquets varies directly with the time (t) in years. Assume the constant of proportionality is 5. Write an equation representing the proportional relationship between n & t using the information given. How many daisies does the bouquet shop use in 6 years? How many years would an average flower shop use 100 daisies.

57 Group Activity Instruction Title: Proportional Relationships 15 minutes to write 4 facts about what you have learned about proportions & graphing (direct proportion, direct variation, formula for constant of proportionality, etc) Write the question & solve the problems.


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