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Grade on only secure skills
__________
Name ______________________
Grade on all skills combined
__________
Date of test_______________
Unit 1 – Number Theory
End-of-Unit Test and Goal Evaluation
For each of the goals below, the shaded area represents the level of mastery expected. An X is marked
in the box corresponding to the student’s level of skill development.
Secure Goal
# Correct
Beginning
Developing
Secure
Draw arrays to model multiplication
___ of 8
0-2
3–6
7-8
1. Draw all possible arrays for the number 8.
Write a number model next to each array.
Secure Goal
Know basic multiplication facts
2. Draw all the possible arrays for 18.
Write a number model next to each array.
# Correct
Beginning
Developing
Secure
___ of 12
0-4
5-10
11 - 12
2. 6 x 7 = ____
7 x 8 = ____
4 x 7 = ____
5 x 9 = ____
4 x 4 = ____
3 x 8 = ____
8 x 8 = ____
9 x 4 = ____
2 x 5 = ____
9 x 6 = ____
EM 3rd Edition - 2007
3 x 3 = ____
*12 x 6 = ____
Secure Goal
# Correct
Beginning
Developing
Secure
Identify even and odd numbers
___ of 6
0–2
3–4
5-6
Secure Goal
# Correct
Beginning
Developing
Secure
List the factors of a number
___ of 4
0–1
2
3–4
3. Write even or odd after each number.
67
__________
32
__________
790
__________
213
__________
9,425
__________
13, 204
__________
4. List all the factors of the following numbers.
24: __________________________________________________
42: _________________________________________________
36: _________________________________________________
64: _________________________________________________
EM 3rd Edition - 2007
Developing/Secure Goal
# Correct
Beginning
Developing
Secure
Use the divisibility tests to determine if a
number is divisible by another number
___ of 4
0–1
2
3–4
5. Use the divisibility tests to check whether the following numbers are divisible by 2, 3, 5, 6, 9, or 10.
 All even numbers are divisible by 2.
 A number is divisible by 3 if the sum of its digits is divisible by 3.
 A number is divisible by 5 if it ends in 0 or 5.
 A number is divisible by 6 if it is divisible by both 2 and 3.
 A number is divisible by 9 if the sum of its digits is divisible by 9.
 A number is divisible by 10 if it ends in 0.
Place an “X” in the box if it is divisible by that number
Number
1,098
5890
36,540
90
EM 3rd Edition - 2007
Divisible…
by 2?
by 3?
By 6?
by 9?
by 5?
by 10?
Developing/Secure Goal
# Correct
Beginning
Developing
Secure
Identify prime and composite numbers
___ of 4
0-1
2
3-4
6. Tell whether each number is prime or composite.
16 _________________________
11 _________________________
9_________________________
7_________________________
1__________________________
EM 3rd Edition - 2007
Developing/Secure Goal
# Correct
Beginning
Developing
Secure
Understand how square numbers and their
square roots are related
___ of 3
0–1
2
3
7. List all the factors of the square numbers. Fill in the missing blanks.
***Reminder: Use a factor rainbow to help you.
16:
____2 = 16 The square root of 16 is ____.
8. List all the factors of the square numbers. Fill in the missing blanks.
***Reminder: Use a factor rainbow to help you.
25:
____2 = 25 The square root of 25 is ____.
9.
List all the factors of the square numbers. Fill in the missing blanks.
***Reminder: Use a factor rainbow to help you.
64:
____2 = 64 The square root of 64 is ____.
EM 3rd Edition - 2007
Beginning/Developing Goal
Rename numbers written in exponential
notation
10. Fill in the blanks.
Factor String
# Correct
Beginning
Developing
Secure
___ of 6
0-2
3-4
5-6
Exponential Notation
Square Number
7x7
32
81
EM 3rd Edition - 2007
Beginning Goal
# Correct
Beginning
Developing
Secure
Find the prime factorization of numbers
___ of 2
0
1
2
11. Write the prime factorization of the number.
48
12. Write the prime factorization of the number.
56
EM 3rd Edition - 2007
Prime Factorization
____________________
Prime Factorization
____________________