Objective:
Vocabulary
UNIT 7 LESSON 12 THINK ABOUT IT!
Criteria For Success
THINK ABOUT IT! Stacy went for a walk after school at a constant speed of 2.5 miles every hour. The equation 2.5h = m represents the total number of miles she walked in h hours.
2. How many hours did she walk if she walked a total distance of 17.5 miles? Interaction with New Material Ex.1) Michelle makes jewelry boxes containing drawers of equal size. The numbers of drawers in three different jewelry boxes and the corresponding total volumes of the drawers are shown in the graph below. Determine the number of drawers in a jewelry box with a total volume of 22.5 cubic inches. PARTNER PRACTICE Bachelor Level
Part A: Create a table and an equation to represent the relationship shown in the graph. Number of minutes, m Gallons of water, g Equation: ________________________________ Part B: If Nichet kept filling the bathtub, how many gallons of water would be in the tub after 11 minutes? Part C: If the tub holds a maximum of 26 gallons, how many minutes will it take to fill completely? INDEPENDENT PRACTICE Bachelor Level 1. Carolina earns $5 per hour working at a local pet store. The table below shows how the money she earns, m, relates to the number of hours, h, she works. Money Earned (m) $5 $10 $15 $20 Hour Worked (h) 1 2 3 4 a. Identify the independent and dependent variables in this situation Independent variable: _______________________________________________ Dependent variable: _______________________________________________ b. Write an equation relating the number of hours worked to the total amount of money earned. c. How much money would Carolina earn after working 9.5 hours? d. How many hours did Carolina work if she earned $155? Exit Ticket
Total Cost 0 3.75 7.50 15.00 22.50 Candy 0 5 10 20 30
Objective:
Vocabulary
UNIT 7 LESSON 11 THINK ABOUT IT!
Criteria For Success
Xin is buying beverages for a party which are individually packaged and come in packs of 8. The equation t = 8p can be used to calculate the total number of beverages, t, when the number of packages, p, is known. a. Determine the independent and dependent variables in this situation Independent variable: ________________________________________________ Dependent variable: ________________________________________________ b. Make a table using whole number values of p less than 6. c. Graph the relationship between the number of packs of beverages Xin buys and the total number of beverages using whole number values of p less than 6. Interaction with New Material Ex.1) Zoe is collecting books to donate. She started with three books and then collected two more books each week. Create an equation and graph that represent the total number of books Zoe has collected from week 0 through 4. PARTNER PRACTICE Bachelor Level
Independent Variable: _______________________________________________________ Dependent Variable: _______________________________________________________ Number of weeks, w Total money saved, t Equation: ___________________________________________ INDEPENDENT PRACTICE Bachelor Level
Independent Variable: _______________________________________________________ Dependent Variable: _______________________________________________________ Number of miles, m Total cost, t Equation: ___________________________________________ Exit Ticket 1. James can type 40 words per minute. Let 𝑤 be the number of words typed and 𝑚 be the number of minutes spent typing. Part A: Write an equation that represents this scenario. Equation: __________________________________________ Part B: Graph the equation. Objective:
Independent Variable: A variable whose value determines the value of the other variables Dependent Variable: A quantity that depends on another quantity Do Now: UNIT 7 LESSON 10 THINK ABOUT IT!
Criteria For Success
Review Think About It Cayla reads for 45 minutes every day. She wants to determine the total number of minutes she will read for any number of days. She used the variables d, for the number of days she reads, and t, for the total number of minutes she reads over any number of days.
Independent variable: ________________________________________________ Dependent variable: ________________________________________________ Create a table to show how many minutes she has read in five days c. Write an equation to model the relationship between d and t. Explain how you came up with the equation. Interaction with New Material Ex.1) Shawn earns $9 per hour at his part-time job. Write an equation to represents the amount of money Shawn earns after working for any number of hours. Ex.2) Daisy started with $200 in her savings account. She decided to add $40 per month. What equation could Daisy use to figure out the total amount in her savings account after any number of months? Partner Practice
Independent Variable: _______________________________________________________ Dependent Variable: _______________________________________________________ Number of packages, p Total number of pencils, n Equation: ___________________________________________ Independent Practice
Independent Variable: _______________________________________________________ Dependent Variable: _______________________________________________________ Discount, c Discounted cost, d Equation: ___________________________________________ Explain how you came up with your equation Moby Max Exit Ticket For problem 1, determine the independent and dependent variables, make a table with five values that models the situation, and write an equation to represent the situation.
b) Total cost is the dependent variable c) If you go 2 miles, you spend $11 d) The equation m = 8 + 1.5 c represents the scenario e) The equation c = 8 + 1.5m represents the scenario |