GSE ALGEBRA 1 LESSON /11/2016. BELLRINGER Andrew is practicing for a tennis tournament and needs more tennis balls. He bought 10 cans of tennis.

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GSE ALGEBRA 1 LESSON /11/2016

BELLRINGER Andrew is practicing for a tennis tournament and needs more tennis balls. He bought 10 cans of tennis balls online and received a 25% discount. The shipping cost was $5.99. Let x represent the cost of each can. 1.Write an algebraic expression to represent the cost of the tennis balls (without the discount) before taxes and shipping. 2.Write an algebraic expression to represent the cost of the tennis balls with the discount, and simplify your expression. 3.Write an algebraic expression to represent the total cost of the tennis balls with the shipping cost and the discount. Simplify the expression.

BELLRINGER - DEBRIEF Andrew is practicing for a tennis tournament and needs more tennis balls. He bought 10 cans of tennis balls online and received a 25% discount. The shipping cost was $5.99. Let x represent the cost of each can. 1.Write an algebraic expression to represent the cost of the tennis balls (without the discount) before taxes and shipping. The price of the non-discounted tennis balls is10x 2.Write an algebraic expression to represent the cost of the tennis balls with the discount, and simplify your expression. Cost of 10 cans – the discount on 10 cans 10x – 0.25(10x) 10x – 2.5x (distribute the 0.25) 7.5x (combine like terms) The price of the discounted tennis balls is 7.5x 3.Write an algebraic expression to represent the total cost of the tennis balls with the shipping cost and the discount. Simplify the expression. Cost of discounted tennis balls + shipping costs 7.5x

STANDARD MGSE.A.CED.1 ★ Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear, quadratic, simple rational, and exponential functions (integer inputs only). MGSE.N.Q.2 ★ Define appropriate quantities for the purpose of descriptive modeling. Given a situation, context, or problem, students will determine, identify, and use appropriate quantities for representing the situation. MGSE.N.Q.3 ★ Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. –For example, money situations are generally reported to the nearest cent (hundredth). Also, an answers’ precision is limited to the precision of the data given.

LEARNING TARGET

MINI LESSON Creating equations from context is important since most real-world scenarios do not involve the equations being given. An equation is a mathematical sentence that uses an equal sign (=) to show that two quantities are equal. A quantity is something that can be compared because it has a numerical value. A linear equation is an equation in which the highest power of any variable is 1. The solution is the value that makes the equation true. In some cases, the solution must be converted into different units. Multiplying by a unit rate or a ratio can do this. – A rate is a ratio that compares different kinds of measurements. – A unit rate is a ratio of two measurements, the second of which is 1, such as miles per (1) gallon.

MINI LESSON

WORK SESSION Example 1 James earns $15 per hour as a teller at a bank. In one week he pays 17% of his earnings in state and federal taxes. His take-home pay for the week is $ How many hours did James work?

WORK SESSION Example 1 James earns $15 per hour as a teller at a bank. In one week he pays 17% of his earnings in state and federal taxes. His take-home pay for the week is $ How many hours did James work?

WORK SESSION Example 2 Brianna has saved $600 to buy a new TV. If the TV she wants costs $1,800 and she saves $20 a week, how many years will it take her to buy the TV?

WORK SESSION Example 3 Suppose two brothers who live 55 miles apart decide to have lunch together. To prevent either brother from driving the entire distance, they agree to leave their homes at the same time, drive toward each other, and meet somewhere along the route. The older brother drives cautiously at an average speed of 60 miles per hour. The younger brother drives faster, at an average speed of 70 mph, but still within the speed limit. How long will it take the brothers to meet each other?

WORK SESSION Example 4 Think about the following scenarios. In what units should they be reported? Explain the reasoning. The rate at which water fills up a swimming pool The cost of tiling a kitchen floor The average speed of a falling object The rate at which a snail travels across a sidewalk The rate at which a room is painted

HOMEWORK Practice #3, 4, 5, 7, 9

CLOSING You and 4 of your closest friends have decided to take a 5-day white- water rafting and hiking trip. During your 5-day trip, 2 days are spent rafting. If the rafting trip covers a distance of 60 miles and you are expected to raft 8 hours each day, how many miles must you raft each hour? 1.Write an equation: 2.Use the equation to find the solution.