First, here is a free online resource for problem solving assessments.
http://www.teacherspayteachers.com/Product/FREE-Math-Problem-Solving-Assessment-Pack
There is also an assessment rubric for problem solving.
http://pinterest.com/pin/234539093065487780/
Part -to- Whole Relations Test:
Operations:
1. BEGINNER: answer: 1
1/2 + 1/2
2. BEGINNER: answer: 1/4
7/8 – 5/8
3. MEDUIM: answer: 5/12
2/3 – 3/8
4. MEDUIM: answer: 3/8
3/4
X 3/6
5. HARD: answer: 8 6/13
11/13 ÷ 1/10
6. HARD: answer: 8/9
4/9 ÷ 1/2
7. ADVANCED: answer: 1 23/60
4/5 + 7/9 X ¾
Fraction Word Problems
Order
of size
1.
Jenny had a pizza that was divided into 8 equal
slices, she ate three of them. Danny has a pizza that is the same size but his
is divided into four equal slices, he ate three slices of his pizza. Who ate
more? Answer: Danny
2.
Jeremy bakes two pans of brownies that are the
same size. One pan has nuts in it but the other does not. He cuts the pan with
nuts into 8 equal pieces; he cuts the pan without nuts into 16 equal pieces.
His friends eat two brownies with nuts and three brownies without nuts. Which
pan has more brownies left? Answer: without nuts
3.
Four divers are in a competition. Their scores
are 8.3, 7.45, 7.7 and 8.65. Write the scores in order from greatest to least? Answer: 8.65, 8.3, 7.7, 7.45
Operations
1.
Maria
worked 7 1⁄2 hours on Friday, 8 1⁄2 hours on Saturday and 10 1⁄2
hours on Sunday. How many hours did she work all weekend? Answer: 26 ½ hours
2.
Maria’s check was $180.00. She plans on putting 1⁄4 of this amount in the bank. How much money will she put
in the bank? Answer: $45
3.
A first grade class took a poll to find out
their favorite ice cream. ¼ chose chocolate, ¼ chose vanilla, and ½ strawberries.
Two kids are lactose intolerant and can’t eat ice cream. If there are 22 kids
in the class, how many kids liked each flavor? Answer:
5 like vanilla, 5 like chocolate, and 10 like strawberries, and 2 can’t have
ice cream.
Conversions
1.
Ian swam two free style laps, in forty-three and
thirty-two hundredths seconds. Write his time as a decimal. Answer: .43 and .32
2.
Lynn lives six and three-fourth miles from the
YMCA. Write the distance as a decimal. Answer: 1.5, .75
3.
One Canadian dollar is valued as .96 of a US
dollar. One Canadian dollar is valued at what fraction of a US dollar. Answer: 24/25 of a US dollar
Renaming
Put the following numbers in order form least to greatest
1)
Easy –
2/3, 3, ¼, 0, ½ answer: ¼, ½, 2/3, 0, 3
2)
Easy – ½, 25%, 0.1, 1 answer: 0.1, 25%, ½, 1
3)
Medium – 3/7, .55, 7/2, 46%, 1 ½ answer: 3/7, 46%,
.55, 1 ½, 7/2
4)
Medium – - ½ , ½, 49%, -.95, 3/1 answer: -½, -.95,
49%, ½, 3/1
Give the following as fractions, put them in simplest form,
and then put the numbers in order from least to greatest.
5)
Hard –
0.92, 0.8, 1.6, 34%, 0.16 answer: 17/50, 4/25,
23/25, 4/5, 1 3/50
6)
Hard – 0.3, 0.55, 5%, 84%, 1.3 answer: 1/20, 1/3, 21/25, 5/9, 1 1/3
7)
Advanced –
a.
Give the following as fractions:
i.
63%, 0.32, 97%, 0.05, 4%, 0.09 answer: 1/20, 1/25, 9/100, 8/25, 63/100, 97/100
b.
Put the above fractions in simplest form
c.
Put those numbers in order from least to
greatest
d.
Indicate the third largest number answer: 8/25 or .32
Conversions
Middle-table 2-conversions
2 easy
1. convert fraction to percent ½ ->
_____% answer: 50%
2. convert fraction to decimal ¼
-> __.___ answer:
0.25
2 medium
3. Convert improper fraction to proper fraction 30/9 ->
________ answer: 3 3/9
4. Convert proper fraction to improper fraction 2
7/13 -> ________ answer: 33/13
2 hard
5. Convert mixed number to a decimal 4 2/9 ->
___._____ answer: 4.222
6. Convert decimal to a fraction 5.375
-> ________ answer:
5 3/8
1 advanced
7. Convert improper fraction to a percent 45/7 ->
________% answer: 643%
Vocabulary
A)
A decimal that can be written as a fraction __F__ Common
Multiples
with
a denominator of 10,100, 1,000, …
B)
The least common multiple of a set of
denominators. __J__ Greatest Common Factor
C)
The least number other than 0 that is a __B__ Least Common Denominator
multiple
of two or more whole numbers.
D)
A decimal such as 0.888888888…
__C__ Least Common Multiple
E)
A fraction whose value is greater than 1. __D__ Repeating Decimal
F)
Multiples that are shared by two or more
numbers. __H__ Simplest Form
G)
The product of the number and any whole
number. __A___ Terminating
Decimal
H)
The form of a fraction when the GCF of the
numerator __K___ Mixed Number
and
the denominator is 1.
I)
A number that divides into a whole number with
a __I__ Factor
remainder
of zero
J)
This number is used to divide out of a fraction
to get the __E__ Improper Fraction
fraction
into simplest terms.
K) The sum of a whole number and a fraction
1.
Explain
how LCM (Least Common Multiple) and GCF (Greatest Common Factor) differ from
one another. Show your knowledge by using some of the vocabulary words from this
unit.
2.
There
was 1/3 of a pizza left, someone decided to put back their piece of pizza which
was 1/6 of the original pizza. How much pizza is now left? What must we find first in order to solve
this problem? _______________________________
3. When we see the fractions 6/8 and
54/72, we know that these fractions are called? ___________________
Rubric:
Fractions
|
1
|
2
|
3
|
4
|
5
|
Total
|
Operation
|
Did
not show understanding of the process for completion of fractions
|
Showed minimal understanding of the
process for completion of fractions
|
Showed understanding of the process for
completion of fraction with numerous errors (ie. Errors in process such as + - X ÷)
|
Correctly + - X ÷ fractions with minimal errors
and with majority understanding of the process for completion.
|
Correctly + - X ÷ fraction with complete
understanding of the process for completion (ie. Same denominator, order of
operations, etc..)
|
|
Application
(Word problems)
|
Did not show understanding of the
process to complete the word problem
|
Showed
minimal understanding of the process to complete
the word problem
|
Showed understanding of the process to complete the word problem with
numerous errors. (use of wrong numbers or miss
of numbers)
|
Showed understanding of
the process to complete the word
problem with minimal errors.
|
Showed complete understanding of the
process to complete the word problem with no
errors.
|
|
Vocabulary
|
Did not show understanding of the
vocabulary and it’s uses
|
Showed minimal understanding of the
vocabulary and it’s uses
|
Showed understanding of the vocabulary
and it’s uses with numerous errors
|
Showed understanding of the Vocabulary and it’s uses with minimal errors.
|
Showed complete understanding of the vocabulary and it’s uses.
|
Fractions
|
1
|
2
|
3
|
4
|
5
|
Total
|
Conversion
|
Did
not show understanding
of the process for completion of conversions
|
Showed minimal understanding of the process for
completion of conversions
|
Showed
understanding of the process for completion of conversions with numerous
errors
|
Showed
understanding of the process for completion of conversions with minimal
errors.
|
Showed understanding of the process for
completion of conversions with no errors.
|
|
Renaming
(1/2 =
.5 or 50% of 4/8)
|
Did
not show understanding
of the process for renaming of fractions
|
Showed
minimal understanding of the process for renaming of fractions
|
Showed understanding of the process for renaming of
fractions with numerous errors
|
Showed understanding of the process for renaming of fractions with minimal
errors
|
Showed understanding of the process for renaming of fractions with no
errors.
|
|
Ordering Fractions
( ½ ¼ 1/3 in order largest to smallest ½ 1/3 ¼ )
|
Did not show understanding of the
process for ordering fractions.
|
Showed minimal understanding of the
process for ordering
fractions
|
Showed understanding of the process for
ordering
fractions with numerous
errors
|
Showed
understanding of the process for ordering fractions with minimal errors
|
Showed understanding of the process for
ordering fractions with no errors.
|
|
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