Preliminary Planning Sheet
Prize Ribbons With Sequins
Problem Solving for the 21st Century Unit of Study:
Dividing With Fractions Unit
Major Underlying Mathematical Concepts
• Fractional part of a whole
• Multiples of a whole
• The meaning of division
• Division of a unit fraction by a whole number
• Addition of like fractions
Possible Problem-Solving Strategies
• Model (manipulatives)
• Diagram/Key
• Table
• Number line
Possible Mathematical Vocabulary/Symbolic Representation
• Model
• Unit
• 0.25 ...
• Diagram/Key
• Whole
• Pattern
• Table
• Fraction
• Per
• Number line
• 1/4, 1/24 ...
• Rules: 6 • p = r, 1/4 • p = t
• Pound (lb)
• Numerator/Denominator
• Variable
• Ounce (oz)
• Weight
• Graph
• Multiples
• Decimals
• Axis
• Equivalent/Equal to
Prize Ribbons With Ribbons
Possible Solution(s)
Ribbons per
Pounds per
Answer
Packages
Package
Package
Total Pounds
1
1
Mrs. Mason needs to buy 8
1
6
/4
/4
packages of sequins, which is
1
2
2
6
/4
/4
2 pounds of sequins. 1/24 of
1
3
3
6
/4
/4
a pound of sequins will make
1
4
one prize ribbon.
4
6
/4
/4 = 1
1
5
5
6
/4
/4
Key
1
6
6
6
/4
/4
is 1/ 4 lb package of sequin
1
7
7
6
/4
/4
8
6 is 6 ribbons
1
÷ 6
4
1
24 + 24 = 48 ribbons
2 pounds oft sequins
0
/4 = 2
1
8
6
12
18
24
30
36
42
48
6
6
6
6
6
6
6
6
1
1
1
•
=
of a pound
4
6
24
4 x 6 = 24 ribbons
1 pound of sequins
/4
6
Ribbons
2
3
4
5
6
7
/4
1
8
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
/2
1
Pounds
Prize Ribbons With Sequins (Page 1)
/4
3
1
Preliminary Planning Sheet (cont.)
Prize Ribbons With Sequins
Problem Solving for the 21st Century Unit of Study:
Dividing With Fractions Unit
Possible Connections
• Mrs. Mason has 1/24 lb of sequins left to make 1 more prize ribbon.
• Patterns: Packages +1, Total ribbons +6, Total pounds per package +1/4
• Rules: 6 · p = r, 1/4 · p = t (p is package, t is total pounds, r is ribbons).
• Generalize and apply the rules, and graph functions.
• 2 pounds of sequins is 32 ounces.
• Relate to a similar task and state a math link.
• Solve more than one way to verify the answer is correct.
Prize Ribbons With Sequins (Page 2)