Wednesday, February 7, 2018 Warm Up 1. If x - 18 = 12, then what is the value of 2(x - 7)? A) 1 B) 53 C) 46 D)22 2) Solve: 1.3p = 16.9 (EE.7) C p = 13 3) Nathalie flew a total of 2,820 miles this year. She uses the equation to determine how many miles she averaged each month. 12m = 2,820 B Which method should Nathalie use to solve the equation for m? (EE.7) A) Multiply both sides of the equation by 12. B) Divide both sides of the equation by 12. C) Subtract 12 from both sides of the equation. D) Add 12 to both sides of the equation.
6.EE.7 Solve real - world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers. SWBAT write and solve equations from real-world situations by isolating the variable. LEQ: How can the mathematical language of a problem help you to develop an equation to solve for a variable?
Teacher Input We have discussed that there are many key words for the operations are we learned expressions. Now we will need them again to be able to write and solve equations. For example: Expression: twice a number would be 2n Equation: twice a number is twenty-eight would be 2n = 28 total The key to setting up equations is finding the total. Eric had $197 in his savings account before he was paid his weekly salary. His current savings balance is $429. How much money does Eric earn each week. What operation is being done here? = total = What is the total in the account? What information do they give us? What do we need to know? What operation should be done? Meagan spent $56.58 on three pairs of jeans. If each pair of jeans costs the same amount, write an algebraic equation that represents this situation and solve to determine how much one pair of jeans cost. = What is the total amount spent? What information do they give us? What are we trying to find out? What operation should be done? Nelson gets paid $20 for dog sitting. He spends $1.99 on a package of trading cards and $6.50 on lunch. Write and solve an equation to show how much money Nelson has left.
Teacher Modeling What is the given total? What do I need to find? What operation is being used? What inverse operation will help me solve this? What operation is being done here? = total 1. Carla is buying ribbon for costumes. She wants to divide the ribbon into 8.5 inch pieces for 16 costumes. Write and solve an equation to find the length of ribbon Carla should buy. r 8.5 = 16 2. The total time to burn a CD is 18 minutes. Last weekend, Demitri spent 90 minutes burning CDs. Write and solve an equation to find the number of CDs Demitri burned last weekend. How can you check your answer? 18c = 90 3. Marty's cat weighs 10.4 pounds. This is 24.4 pounds less than the weight of his dog. Write and solve an equation to find the weight of Marty's dog. d 24.4 = 10.4
Collab. Practice What is the given total? What do I need to find? What operation is being used? What inverse operation will help me solve this? Write and solve an equation for the following situations: 1. A company has to distribute $800 among its employees. They already distributed $650. How much do they still they have to distribute? 650 + m = 800; m=150 2. Sara has chocolates in her bag. Her sister has 80 chocolates which is 4 times as many chocolates as Sara has. How many chocolates does Sara have? 4s = 80; s=20 3. Breon wants to buy a new sound system for $180. If he gets $15 for each lawn mowed, how many yards must he cut to buy his new sound system? 15y=180; y= 12 Teacher Follow up What do you feel is most challenging about setting up equations? What remains to one goal when solving equations?
Independent Practice What is the given total? What do I need to find? What operation is being used? What inverse operation will help me solve this?