Virginia Mathematics Checkpoint Assessment
MATHEMATICS 4.16
Strand: Patterns, Functions, and Algebra
Standards of Learning Blueprint Summary
Reporting Category
Number & Number Sense
Computation & Estimation
Measurement & Geometry
Grade 4 SOL
4.1(a-c), 4.2(a-c), 4.3(a-d)
4.4(a-d), 4.5(a-d)
4.6(a-b), 4.7(a-b), 4.8(a-b),
4.9, 4.10(a-b), 4.11(a-b),
4.12(a-b)
4.13(a-b), 4.14, 4.15, 4.16(ab)
None
Probability, Statistics, Patterns,
Functions, & Algebra
Excluded from Testing
Number of Operational Items
Number of Field-Test Items
Total Number of Items on Test
Number of Items
12
13
13
12
50
10
60
Virginia Mathematics SOL Test Cut Scores
Failing Scores
Test
Math 3
Math 4
Math 5
Math 6
Math 7
Math 8
Algebra I
Geometry
Algebra II
Basic
# correct
% correct
16 of 40
17 of 50
18 of 50
16 of 50
17 of 50
17 of 50
n/a
n/a
n/a
40%
34%
36%
32%
34%
34%
n/a
n/a
n/a
Passing Scores
Proficient
Minimum
Minimum
# correct
% correct
26 of 40
65%
31 of 50
62%
31 of 50
62%
28 of 50
56%
31 of 50
62%
31 of 50
62%
25 of 50
50%
25 of 50
50%
27 of 50
54%
Mathematics Checkpoint 4.16
Advanced
Minimum
Minimum
# correct
% correct
36 of 40
90%
45 of 50
90%
45 of 50
90%
45 of 50
90%
45 of 50
90%
46 of 50
92%
45 of 50
90%
44 of 50
88%
43 of 50
86%
Page 1
Checkpoint Items
1. Directions: Draw an arrow from an equation on the left to an equivalent equation on
the right. You must draw one arrow to and from each box.
Match the equation on the left with an equation on the right to make an
equivalent relationship.
12 + 12
8+7
10 + 5
20 + 4
13 + 6
9 + 10
Mathematics Checkpoint 4.16
Page 2
2. Directions: Write your answer in the boxes provided.
In each box, write a single digit to make this equation an equivalent expression.
4x4=
x
Mathematics Checkpoint 4.16
Page 3
3. Directions: Circle the box you want to select.
Which statement is a correct equivalent equation?
4 + (7 + 4) = (8 + 2) + 6
6 x (4 x 3) = (6 x 4) x 3
2 x (4 x 3) = 2 + (4 + 3)
Mathematics Checkpoint 4.16
Page 4
4. Directions: Circle the box you want to select.
Which statement is a correct equivalent equation?
4 + (3 + 2) = 1 + (5 + 3)
4 + (3 + 2) = 1 + (5 + 2)
3 + (3 + 2) = 2 + (5 + 2)
Mathematics Checkpoint 4.16
Page 5
5. Directions: Circle the box you want to select. You must select all correct answers.
Which correctly show the associative property for addition?
8 + (9 + 0) = (8 + 9) + 0
7 x 4 = 28
(6 x 7) x 1 = 6 x (7 x 1)
9 + (2 + 4) = (9 + 2) + 4
Mathematics Checkpoint 4.16
Page 6
6. Directions: Write your answer in the box.
Use the equation below to demonstrate the associative property for addition.
Write your equation in the box.
3+1+4=3+1+4
Mathematics Checkpoint 4.16
Page 7
7. Directions: Circle the box you want to select. You must select all correct answers.
Which correctly show the associative property for multiplication?
(6 x 3) x 7 = 126
(6 x 3) x 7 = 6 x (3 x 7)
(4 + 6) + 2 = 4 + (6 + 2)
(9 x 5) x 3 = 9 x (5 x 3)
Mathematics Checkpoint 4.16
Page 8
8. Directions: Write your answer in the box.
Use the equation below to demonstrate the associative property for
multiplication. Write your equation in the box.
5x3x4=5x3x4
Mathematics Checkpoint 4.16
Page 9
9. Directions: Write your answer in the box.
Use the equation below to demonstrate the associative property for
multiplication. Write your equation in the box.
6x3x2=6x3x2
Mathematics Checkpoint 4.16
Page 10
Checkpoint Solutions
SOL 4.16 The student will
a) recognize and demonstrate the meaning of equality in an equation; and
b) investigate and describe the associative property for addition and multiplication.
Essential Knowledge and Skills
a.
b.
c.
d.
Recognize and demonstrate that the equals sign (=) relates equivalent quantities in an equation
Write an equation to represent equivalent mathematical relationships (e.g., 4 x 3 = 2 x 6)
Recognize and demonstrate appropriate use of the equals sign in an equation
Investigate and describe the associative property for addition as
(6 + 2) + 3 = 6 + (2 + 3)
e. Investigate and describe the associative property for multiplication as (3 x 2) x 4 = 3 x (2 x 4)
Item
Answer/Solution
SOL/EKS
Code
Essential Knowledge and Skills
Write an equation to represent equivalent mathematical
relationships (e.g., 4 x 3 = 2 x 6)
1
4.16ab
2
8 and 2 or 2 and 8
4.16ab
3
6 x (4 x 3) = (6 x 4) x 3
4.16ac
4
4 + (3 + 2) = 1 + (5 + 3)
4.16ac
5
8 + (9 + 0) = (8 + 9) + 0
9 + (2 + 4) = (9 + 2) + 4
4.16bd
6
(3 + 1) + 4 = 3 + (1 + 4)
4.16bd
7
(6 x 3) x 7 = 6 x (3 x 7)
(9 x 5) x 3 = 9 x (5 x 3)
4.16be
8
(5 x 3) x 4 = 5 x (3 x 4)
4.16be
9
(6 x 3) x 2 = 6 x (3 x 2)
4.16be
Write an equation to represent equivalent mathematical
relationships (e.g., 4 x 3 = 2 x 6)
Recognize and demonstrate appropriate use of the equals
sign in an equation
Recognize and demonstrate appropriate use of the equals
sign in an equation
Investigate and describe the associative property for
addition as (6 + 2) + 3 = 6 + (2 + 3)
Investigate and describe the associative property for
addition as (6 + 2) + 3 = 6 + (2 + 3)
Investigate and describe the associative property for
multiplication as (3 x 2) x 4 = 3 x (2 x 4)
Investigate and describe the associative property for
multiplication as (3 x 2) x 4 = 3 x (2 x 4)
Investigate and describe the associative property for
multiplication as (3 x 2) x 4 = 3 x (2 x 4)
Mathematics Checkpoint 4.16
Page 11