1.) Get out a sheet of graph paper and notebook paper to serve as your scratch paper, and a pencil and your calculator. 2.) Get an I-Respond unit. Except for Ms. Heaberg’s group.
Warm-up: 2/23 Get ready for the 2-step equations computation challenge.
Warm-up: 3/2 http://youtu.be/OyhAir08yOI Course 3 Warm-up: 3/2 http://youtu.be/OyhAir08yOI 1.) Which graph shows the line of best fit? 2.) Describe the type of correlation. A. B. C. D.
Warm-Up: 2/22 Milestones Review 1.) An oil tank is being filled at a constant rate. The depth of the oil is a function of the number of minutes the tank has been filling, as shown in the table. (Careful: Can a missing value be filled in?) a.) Write an equation in slope-intercept form that represents this linear function. b.) What is the depth of the oil after 30 minutes? Milestones Review 1.) What is 9.46 x 107 in standard notation? 2.) A microsecond is equal to 1 x 10-6 second. What is the standard notation for 7 microseconds in terms of seconds? Time (min.) Depth (ft.) 3 10 5 15 6 y = 1/5x + 3 9 ft. 94,600,000 0.000007
Homework 2/25 1.) m = -2 and (0, -3) 2.) m = -3 and (1, 2) Copy the following 2 problems onto notebook paper as part of your homework tonight. Leave space to work each problem. Write the equation in slope-intercept form given the following information. Show all steps/work. 1.) m = -2 and (0, -3) 2.) m = -3 and (1, 2) 3.) (-1, 4) and (2, -2) 4.) (6, 7) and (2, 9) 5.) 2x + 3y = -9 6.) 6x + 3y = 0 Write down any questions you still have on your notebook paper as you work tonight.
Course 3 WARM-UP – 3/23 1.) Plot the following points on a graph on graph paper. (2, 120), (3, 150), (2, 110), (4, 160), (6, 170), (6, 160), (5, 130), (6, 140) a.) Draw a line of best fit. b.) Find the slope of the line of best fit. c.) Solve for the y-intercept. d.) Write the linear equation. Time (minutes) # of jumping jacks 100 120 140 160 180 2 4 6 8 10 200
Course 3 WARM-UP – 2/25 1.) What would be a good line of best fit for the data in this scatter plot? A line through (1,140) and (7, 200). A line through (4, 110) and (9, 120). A line through (2, 110) and (9, 160). D. A line through (2, 100) and (6, 160). 2.) Write the following equation in slope-intercept form by solving for y: 2x + 3y = -9 Years since 1990 weight (lb) 100 120 140 160 180 2 4 6 8 10 200
Homework 2/25 1.) (-1, 4) and (2, -2) 2.) 6x - 3y = -18 Copy the following 2 problems onto notebook paper as part of your homework tonight. Leave space to work each problem. Write the equation in slope-intercept form given the following information. Show all steps/work. 1.) (-1, 4) and (2, -2) 2.) 6x - 3y = -18 Write down any questions you still have on your notebook paper as you work tonight.
WARM-UP – 2/22 Review for the Daily Check over Line of Best Fit. Course 3 WARM-UP – 2/22 Review for the Daily Check over Line of Best Fit. Get out Writing Linear Equations for Real World Situations and pass forward. Be sure your name is on it. LPA #3 is due today – I will accept on Monday.
Extra Credit - Create Your Own! Course 3 LESSON – 2/22 Extra Credit - Create Your Own! 1.) Create TWO of your own Rates of Change Stories/Scenarios. Be sure to include a table with at least 5 sets of ordered pairs, a graph, and the equation to go along with your scenario (just like on the task sheet from class today). 2.) Here are a few “rates of change” ideas to help you get started: Text messages/day Money earned/hour Cost/pound Training miles/day Plant growth per week or month from a seedling Gym membership/month with a discount coupon
Course 3 WARM-UP – 3/5 1.) Given a line of best containing the following 2 points, write the equation for the line of best fit. (-2, 20) (5, -1)
Course 3 WARM-UP – 3/5 1.) Your sister buys a new I-Phone for $625.00. She says that she’ll give you the I-Phone when its worth ≤ $100. According to E-bay, the I-Phone will depreciate in value by approximately $50 each month. A.) What is the slope and what does it mean or represent in this scenario? The slope is the amount the phone decreases in value each month, which is -$50. B.) What is the y-intercept and what does it mean or represent in this scenario? The y-intercept is the beginning value of the phone. which is $625. C.) Write the equation for this scenario in slope-intercept form. y = -50x + 625 D.) When will the phone be yours? It will be yours in 11 months. Month Value 1 575 2 525 3 475 4 425 5 375 6 325 7 275 8 225 9 175 10 125 11 75
Get Straight-edge Course 3 WARM-UP – 3/10 1.) Write the linear equation for the line of best fit shown in the graph by finding slope and solving for b. 2.) Ben decided to hike the Appalachian Trail with his friend for 2 days over the weekend. On the first day, they hiked 18 miles and are hiking at a rate of 4 miles per hour on the second day. Write an equation and make a table to show the total distance hiked after each hour on the second day. What does the slope represent? b) What does the y-intercept represent? 1800 y = 4x + 18 The slope is the miles hiked per hour on the second day. The y-intercept is the number of miles hiked on the first day.
Corse 3 WARM-UP 2/29 1.) How do you find the initial value from a table of values and from a graph? In a table, you find where x = 0 and the corresponding y-value is the initial value. On a graph, the initial value is where the line crosses the y-axis. 2.) What do you have to do first to create a linear model from a scatter plot? You have to draw a line of best fit.
Course 3 WARM-UP – 3/9 1.) Write an algebraic equation that describes the relationship between x and y in the table? 2a.) Which equation has the greatest rate of change? D 2b.) Which equation has the least rate of change? B 2c.) Which equations are increasing? A and B 2d.) Which are decreasing? C and D x y 1 4 2 7 3 10 13 y = 3x + 1
SHOE SIZE VS. HEIGHT TASK Course 3 SHOE SIZE VS. HEIGHT TASK Shoe Size vs. Height Task Part VI – Addition 2.) Describe your scatter plot using the terms from your class notes. Use as many of the terms as apply.
Course 3 WARM-UP – 3/12 1.) Benny has 5 gallons of gas in his 4-wheeler. After driving 50 miles, he has 3 gallons left. What is the rate of change of gallons to miles? 2.) This table shows some temperatures on the Celsius scale and the corresponding temperatures on the Fahrenheit scale. Describe the table using linear/non-linear and increasing/decreasing. linear and increasing
Course 3 WARM-UP – 3/12 1.) Sim is standing 10 feet from the back door of his house (back door is at zero distance). He runs away from his house to go to the park. Then his mom calls and he walks back to the back door. Draw a graph to model Sim’s movements. 2.) Write an equation to represent the line of best fit for the graph showing the relationship between outside temperature and ice cream sales. Predict the amount of ice creas sales when the temperature is 28 degrees.
Draw a line of best fit and use it to make a prediction. Warm-Up: 3/3 The scatter plot shows a relationship between the total amount of money collected at the concession stand and the total number of tickets sold at a movie theater. Based on this relationship, predict how much money will be collected at the concession stand when 150 tickets have been sold. Draw a line of best fit and use it to make a prediction. Draw a line that has about the same number of points above and below it. Your line may or may not go through data points. Find the point on the line whose x-value is 150. The corresponding y-value is 750. Based on the data, $750 is a reasonable prediction of how much money will be collected when 150 tickets have been sold.
Warm-Up: 3/4 1.) Write an equation to represent the line of best fit for the graph showing the relationship between weeks and number of cars washed. 2.) Predict the number of cars washed in week 8. 3.) Tell what the graph is showing. Also, what do the slope and y-intercept represent? 4.) Describe the data pattern. 18 cars washed As the weeks increase, so do the number of cars washed. Slope is the number of cars washed per week and the y-intercept is the number of cars washed at week 0. Linear, positive, increasing, no outliers or clusters.
Warm-Up: 3/2 1.) What does the Wrapping Paper Fundraiser graph tell us? The money that can be raised based on the number of rolls sold. 2.) Based on the line of best fit, predict how many wrapping paper rolls need to be sold to raise $500. Find the point on the line whose y-value is 500. The corresponding x-value is about 75. Based on the data, about 75 wrapping paper rolls is a reasonable prediction of how many rolls need to be sold to raise $500.
Warm-Up: 3/7 1.) The data from a survey of 440 students is shown in the table. The students were asked whether or not they were on the honor roll and whether or not they played a sport. a.) Make a Venn diagram to represent this data. b.) What is the ratio of students who play a sport and are on the honor roll to the total number of students? Honor Roll Sport 250/440 = 25/44 = 56.8%
EQ: How can I represent, interpret, and compare sets of data? Warm-Up: 3/8 1.) Ricardo surveyed 110 8th grade students to find out if they have a part-time job. There are 60 students who have a part-time job, including 48 Honor Roll students. Half of the students who do not have a job are on the Honor Roll. Construct a two-way table to summarize the data and interpret the results. 2.) What is the relative frequency by row for Job and On Honor Roll? 48 12 60 50 25 25 73 37 110 48/60= 0.8
Extension Task: 1.) Develop two questions that could be answered with yes or no to conduct your own student survey. Survey 10 students with your questions and create a two-way table with your data. Interpret the results of your survey.
EQ: How can I represent, interpret, and compare sets of data? Warm-Up: 3/10 1.) Todd had 5 gallons of gasoline in his motorbike. After driving 100 miles, he had 3 gallons left. What is the rate of change of gallons to miles? A.) 3/100 B.) 1/20 C.) -1/50 D.) -1/25 2.) Which graph has a slope of -3 and an initial value of 4 A.) B.) C.) 3.) Which equation has the greatest rate of change? What is the rate of change? A.) y = -3x + 3 B.) y = x + 7 C.) y = 1/2x + 2 D.) y = 3x + 5
Course 3 WARM-UP 3/8 1.) Which graph has a slope of -3 and has an initial value of 4? A. B. C. 2.) Which equation has the greatest rate of change? What is the rate of change? C, The rate of change is -5.
WARM-UP 3/7 – Most Missed Qs Course 3 WARM-UP 3/7 – Most Missed Qs 1.) Todd had 5 gallons of gasoline in his motorbike. After driving 100 miles, he had 3 gallons left. What is the rate of change of gallons to miles? A.) 3/100 B.) 1/20 C.) -1/50 D.) -1/25 2.) Which graph has a slope of -3 and an initial value of 4