Virginia Mathematics Checkpoint Assessment
MATHEMATICS 5.7
Strand: Computation and Estimation
Standards of Learning Blueprint Summary
Reporting Category
Number & Number Sense
Computation & Estimation
Measurement & Geometry
Grade 5 SOL
5.1, 5.2(a-b), 5.3(a-b)
5.4, 5.5(a-b), 5.6, 5.7
5.8(a-e), 5.9, 5.10, 5.11,
5.12(a-b), 5.13(a-b)
5.14, 5.15, 5.16(b-d), 5.17,
5.18(a-d), 5.19
5.16(a)
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
7
13
12
18
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 5.7
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: Circle the box you want to select.
Consider each numerical expression below. Solve the expression using the order
of operations. Select the box that shows the expression correctly simplified.
3 + (4 x 7) x (3 x 9) – 22
3 + (4 x 7) x (3 x 9) – 22
3 + 28 x 27 – 22
31 x 5
155
3 + (4 x 7) x (3 x 9) – 22
3 + 28 x 27 – 22
3 + 756 – 22
759 – 22
737
3 + (4 x 7) x (3 x 9) – 22
7 x 7 x 27 – 22
49 x 5
245
3 + (4 x 7) x (3 x 9) – 22
3 + 28 + 27 – 22
31 + 5
36
Mathematics Checkpoint 5.7
Page 2
2. Directions: Write your answers in the boxes below. You must complete each box.
Simplify the numerical expression below using the order of operations.
Complete each box showing the results of the steps of the order of operations so
that the last box solves the expression.
28 – 3 + 4
Mathematics Checkpoint 5.7
Page 3
3. Directions: Write your answers in the boxes below. You must complete each box.
Simplify the numerical expression below using the order of operations.
Complete each box showing the results of the steps of the order of operations so
that the last box solves the expression.
3 + (30 ÷ 6) x (28 ÷ 4) – 8
Mathematics Checkpoint 5.7
Page 4
4. Directions: After showing your thinking, circle the box you want to select.
Solve the expression.
18 + (9 x 3) + (5 x 3) – 27
33
43
Mathematics Checkpoint 5.7
690
Page 5
5. Directions: After showing your thinking, circle the box you want to select.
Solve the expression.
9 + (6 x 2) x (6 x 8) + 5
590
690
Mathematics Checkpoint 5.7
1,113
Page 6
6. Directions: After showing your thinking, write your answer in the box.
Solve the expression.
8 + (7 x 6) ÷ (2 x 1) – 5
Mathematics Checkpoint 5.7
Page 7
7. Directions: After showing your thinking, write your answer in the box.
Solve the expression.
(9 x 8) + (7 x 7) – 56
Mathematics Checkpoint 5.7
Page 8
8. Directions: Write each phrase in the correct box on the right based on the sequence of
steps in the order of operations, provided on the left.
Simplify addition and subtraction
from left to right
Simplify exponents
Simplify operations contained in
grouping symbols
Simplify multiplication and
division from left to right
Mathematics Checkpoint 5.7
Page 9
Checkpoint Solutions
SOL 5.7 The student will evaluate whole number numerical expressions, using the order of
operations limited to parentheses, addition, subtraction, multiplication, and division.
Essential Knowledge and Skills
a. Simplify expressions by using the order of operations in a demonstrated step-by-step approach
b. Find the value of numerical expressions, using the order of operations
c. Given an expression involving more than one operation, describe which operation is completed first, which is
second, etc.
Item
1
2
3
Answer/Solution
3 + (4 x 7) x (3 x 9) – 22
3 + 28 x 27 – 22
3+ 756 – 2
759 – 2
757
25 + 4
29
3+5x7–8
3 + 35 – 8
38 – 8
30
SOL/EKS
Code
Essential Knowledge and Skills
Simplify expressions by using the order of operations in a
demonstrated step-by-step approach
5.7a
5.7a
5.7a
4
33
5.7b
5
590
5.7b
6
24
5.7b
Simplify expressions by using the order of operations in a
demonstrated step-by-step approach
Simplify expressions by using the order of operations in a
demonstrated step-by-step approach
Find the value of numerical expressions, using the order of
operations
Find the value of numerical expressions, using the order of
operations
Find the value of numerical expressions, using the order of
operations
Mathematics Checkpoint 5.7
Page 10
7
65
5.7b
Find the value of numerical expressions, using the order of
operations
Given an expression involving more than one operation,
describe which operation is completed first, which is
second, etc
Simplify operations
contained in grouping
symbols
Simplify exponents
8
5.7c
Simplify multiplication and
division from left to right
Simplify addition and
subtraction from left to
right
Mathematics Checkpoint 5.7
Page 11