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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.