NUMBER POWER 2 PRE-ASSESSMENT
ANSWER SHEET (NP2.1.04.1)
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UCLA Math Programs for Teachers/LUCIMATH Project
Assessment, Intervention, Test Prep
AITP(NP2) – PP1
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UCLA Math Programs for Teachers/LUCIMATH Project
Assessment, Intervention, Test Prep
AITP(NP2) – PP2
NUMBER POWER 2 PRE-ASSESSMENT (NP2.1.04.1)
In order to pay stipends to participants, all professional development institutes are required to
collect data about participant growth through pre-assessments and post-assessments. Thank
you in advance for participating in this assessment. Please do your best.
Please put all answers on your answer sheet. You may use this test for scratch paper. Return
both test and answer sheet to your instructor when done.
5
3
to . Which of the following should he accept as
9
7
a correct explanation? (Mark ONE answer.)
1. Mr. Lee asked his students to compare
(A)
5
3
is greater than
because 5 is greater than 3.
9
7
(B) They are equal because each is missing four pieces from the whole.
(C) They are equal because adding two to the numerator in
in
3
and two to the denominator
7
3
5
produces .
7
9
(D)
3
is greater because the pieces will be bigger.
7
(E)
5
3
is greater because it is more than one-half, while
is less than one-half.
9
7
(F) I’m not sure.
Teachers often offer students "rules of thumb" to help them remember particular mathematical
ideas or procedures. Sometimes, however, these handy memory devices are not actually true,
or they are not true for all numbers. For each of the following, decide whether it is true all of the
time or not. (Mark TRUE FOR ALL NUMBERS, NOT ALWAYS TRUE, or I’M NOT SURE.)
True for all
numbers
Not always
true
I’m not
sure
2. You cannot subtract a larger number from a
smaller number.
A
B
C
3. Multiplying a number makes it larger.
A
B
C
4. Dividing a number makes it smaller
A
B
C
UCLA Math Programs for Teachers/LUCIMATH Project
Assessment, Intervention, Test Prep
AITP(NP2) – PP3
Mrs. Wise wants to include some word problems on her fractions quiz. Which of the following
1 1
problem(s) could she use as a word problem for ! ? (Mark YES, NO, or I’M NOT SURE for
2 3
each one.)
Yes
No
I’m not
sure
A
B
C
A
B
C
A
B
C
A
B
C
1
1
of a pizza left. My brother comes in and eats
of
2
3
my leftover pizza. How much pizza is left?
5. I have
6. Farmer Brown has plowed up
1
of a field. He wants to plant
2
1
of that half in corn. What fraction of the entire field will be
3
planted in corn?
1
1
of a cup of sugar. She needs to use
of a cup
2
3
of sugar to make some brownies. How much sugar will Mom
have left?
7. Mom has
1
1
of a foot of licorice. Francisco has
a foot of
3
2
licorice. How much more licorice does Francisco have than
Jon?
8. Jon has
9. If 0 < B < C < 1, then C + B is
a) Less than 0
d) Greater than C
b) Between 0 and B
a) Can’t tell
c) Between B and C
10.
If 0 < B < C < 1, then (C)(B) is
a) Less than 0
d) Greater than C
b) Between 0 and B
e) Can’t tell
c) Between B and C
UCLA Math Programs for Teachers/LUCIMATH Project
Assessment, Intervention, Test Prep
AITP(NP2) – PP4
Dr. Kwon, a mathematics education professor at a local university, assigns her math methods
students the following problem using Base-10 blocks:
block
flat
rod
cube
Use the pictured materials to represent the number 13.7
As her students got out their materials, they begin to discuss the ways to represent 13.7. Which
representations should the class accept as correct? (Mark YES, NO, or I’M NOT SURE for
each choice.)
Yes
No
I’m not sure
11.
13 blocks, 7 rods
A
B
C
12.
13 cubes, 7 rods
A
B
C
13.
1 flat, 3 rods, 7 cubes
A
B
C
14.
13 flats, 7 rods
A
B
C
UCLA Math Programs for Teachers/LUCIMATH Project
Assessment, Intervention, Test Prep
AITP(NP2) – PP5
15. An item on a quiz requires students to draw a picture to show
1
6
. Students draw the
following:
I.
II.
III.
IV.
Which of the following would you accept as correct responses? (Mark ONE
answer.)
a) I and II only
b) I and IV only
c) I, II, and III only
d) All are correct responses.
UCLA Math Programs for Teachers/LUCIMATH Project
Assessment, Intervention, Test Prep
AITP(NP2) – PP6
PART 2 – FREE RESPONSE
Questions 16-18 require a written response from you. Please answer in the space provided on
the answer sheet. Clear, concise responses are most appreciated!
16.
Place these fractions in numerical order. Explain your reasoning for each placement.
1
3
1
7
0.33
1
3
+
1
6
+
1
8
17.
Show how to add
18.
Jenny was asked to do the following problem:
36 thousandths
using a fraction model.
Divide two identical rectangular cakes equally among three
children. How much cake does each child get?
Here is her response:
Comment on Jenny’s mathematics.
UCLA Math Programs for Teachers/LUCIMATH Project
Assessment, Intervention, Test Prep
AITP(NP2) – PP7