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Hillary Gutierrez EDUC 509 November 21, 2016 Task Sorting Activity Task 1 Task 2 Brandon buys a bag of peanuts that weighs 3/4 of a pound. Later that week, the bag is 2/3 full. How much does the bag of peanuts weigh now? Kiamora has a rope that is 25 1/2 feet long. She wants to cut it into 6 pieces that are equal in length. How long will each piece be? Task 3 Task 4 How many tenths are there in 4/5? The reciprocal of a fraction less than 1 is always a fraction greater than 1. Why is this? Task 5 Task 6 A hairstylist schedules 1/4 hour to rim a customer's hair and 1/6 hour to style the customer's hair. The hairstylist plans to work 3 1/3 hours each day for 5 days each week. How many appointments can the hairstylist schedule each week if each customer must be trimmed and styled? Describe a real-world problem that can be solved using the expression 29 ÷ (3/8 + 5/6_. Find the answer in the context of the situation. Task 1 Task 2 Brandon buys a bag of peanuts that weighs 3/4 of a pound. Later that week, the bag is 2/3 full. How much does the bag of peanuts weigh now? Kiamora has a rope that is 25 1/2 feet long. She wants to cut it into 6 pieces that are equal in length. How long will each piece be? 25 1/2 ÷ 6 = 4 1/4 feet 3/4 X 2/3 = 6/12 = 1/2 pound Procedures without connections: algorithmic, limited cognitive demand, requires no explanations. Procedures without connections: algorithmic, limited cognitive demand, requires no explanations. Task 3 Task 4 How many tenths are there in 4/5? The reciprocal of a fraction less than 1 is always a fraction greater than 1. Why is this? 4/5 ÷ 1/10 = 8 Procedures without connections: algorithmic, limited cognitive demand, requires no explanations. Task 5 A hairstylist schedules 1/4 hour to rim a customer's hair and 1/6 hour to style the customer's hair. The hairstylist plans to work 3 1/3 hours each day for 5 days each week. How many appointments can the hairstylist schedule each week if each customer must be trimmed and styled? In a fraction less than one the numerator is less than the denominator. In the reciprocal the numerator is greater than the denominator, making it greater than 1. 2/3 <1 but, 3/2 > 1 Doing mathematics: requires non algorithmic thinking, understanding of mathematical concepts, analysis of task and constraints. Task 6 Describe a real-world problem that can be solved using the expression 29 ÷ (3/8 + 5/6_. Find the answer in the context of the situation. 3 1/3 X 5 = 16 2/3 hours 16 2/3 ÷ (1/4 + 1/6) = 40 appointments Quianna is getting reading for Thanksgiving. She peels a carrot in 3/8 of a minute and 5/6 of a minute to chop it up. If it takes her 29 minutes to peel and chop all of the carrots, how many carrots did she have? (24 carrots) Procedures with connections: general procedures are followed, but cannot be done mindlessly, procedures must be done in order Doing mathematics: requires non algorithmic thinking, understanding of mathematical concepts, analysis of task and constraints.