Virginia Mathematics Checkpoint Assessment
MATHEMATICS 5.18
Strand: Patterns, Functions, and Algebra
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 5.18
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.
Read each statement below. Which best identifies the concept of a variable?
A variable is a number.
A variable is an equal sign.
A variable is an expression.
A variable is an unknown
number or object.
Mathematics Checkpoint 5.18
Page 2
2. Directions: Answer the questions regarding the sentence below. Write your answers
in the series of boxes. You must provide an answer in each box.
Six crates full of boxes of popcorn, 𝒑, equals 96 bags of popcorn.
What operation is used?
What variable is used?
What are the known numbers?
Write the open sentence:
Mathematics Checkpoint 5.18
Page 3
3. Directions: Answer the questions regarding the sentence below. Write your answers
in the series of boxes. You must provide an answer in each box.
A pack of gum, 𝒈, minus 6 pieces equals 12 pieces of gum.
What operation is used?
What variable is used?
What are the known numbers?
Write the open sentence:
Mathematics Checkpoint 5.18
Page 4
4. Directions: Circle the box you want to select. You must select all correct answers.
Look carefully at each box. Select those that are an open sentence.
𝑏
5
3 − 𝑥
4𝑥 = 16
18 + 𝑦 = 24
65 – 𝑥 = 48
Mathematics Checkpoint 5.18
Page 5
5. Directions: Draw your answers in the box on each side of the balance scale. You may
use each weight more than once.
Study the linear equation below. Then using the weights shown in the shaded
box, draw the weights into the boxes on the balance scale to model the equation.
𝟓 + 𝒘 = 𝟏𝟓
Weights
Mathematics Checkpoint 5.18
Page 6
6. Directions: Draw the symbols on the equation mat to represent the linear equation.
You may use each symbol more than once.
Study the linear equation below. Model the equation shown.
𝟔𝒔 = 𝟑𝟎
Equation Mat
=
Symbols and Key:
=𝒔
= 10
Mathematics Checkpoint 5.18
Page 7
7. Directions: Draw an arrow from the word problem on the left to the matching open
sentence on the right. You must draw one arrow to and from each box.
Match the word problem on the left to the correct open sentence on the right.
The recipe calls for 1 bag plus
10 more pretzels for a total of
60 pretzels.
A pack of pencils plus 5 extra
equals 60 pencils.
3𝑥 = 60
𝑟 + 10 = 60
𝑝 + 5 = 60
Three full bags of
marshmallows equals 60
marshmallows.
Mathematics Checkpoint 5.18
Page 8
8. Directions: Write your answer in the box.
Create an open sentence based on the word problem below.
There were 25 homework problems, 𝒉, when I started my math homework. Now,
there are only 16 left to finish.
Mathematics Checkpoint 5.18
Page 9
Checkpoint Solutions
SOL 5.18 The student will
a) investigate and describe the concept of variable;
b) write an open sentence to represent a given mathematical relationship, using a variable;
c) model one-step linear equations in one variable, using addition and subtraction; and
d) create a problem situation based on a given open sentence, using a single variable.
Essential Knowledge and Skills
a. Describe the concept of a variable (presented as boxes, letters, or other symbols) as a representation of an unknown
quantity
b. Write an open sentence with addition, subtraction, multiplication, or division, using a variable to represent a missing
number
c. Model one-step linear equations using a variety of concrete materials such as colored chips on an equation mat or
weights on a balance scale
d. Create and write a word problem to match a given open sentence with a single variable and one operation
Item
Answer/Solution
1
A variable is an unknown
number or object
2
3
4
5
6
multiplication
𝑝
6 and 96
6𝑝 = 96
subtraction
𝑔
12 and 6
𝑔 – 6 = 12
SOL/EKS
Code
Essential Knowledge and Skills
5.18bb
Describe the concept of a variable (presented as boxes,
letters, or other symbols) as a representation of an
unknown quantity
Write an open sentence with addition, subtraction,
multiplication, or division, using a variable to represent a
missing number
5.18bb
Write an open sentence with addition, subtraction,
multiplication, or division, using a variable to represent a
missing number
5.18aa
5.18bb
5.18cc
5.18cc
Write an open sentence with addition, subtraction,
multiplication, or division, using a variable to represent a
missing number
Model one-step linear equations using a variety of
concrete materials such as colored chips on an equation
mat or weights on a balance scale
Model one-step linear equations using a variety of
concrete materials such as colored chips on an equation
mat or weights on a balance scale
Mathematics Checkpoint 5.18
Page 10
Create and write a word problem to match a given open
sentence with a single variable and one operation
7
8
5.18cd
25 – ℎ = 16
5.18cd
Create and write a word problem to match a given open
sentence with a single variable and one operation
Mathematics Checkpoint 5.18
Page 11