Virginia Mathematics Checkpoint Assessment
MATHEMATICS 4.5
Strand: Computation and Estimation
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 4.5
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 numbers you want to select. You must circle all correct answers.
Look at the list of numbers below. Which numbers are factors of 8?
1
2
3
4
5
6
8
9
10 12 14 16 24
Mathematics Checkpoint 4.5
Page 2
2. Directions: Draw an arrow from the number on the left to the least common multiple
on the right. You must draw one arrow to and from each box.
Match the number in the box on the left to the correct least common multiple in
the box on the right.
3
16
6
6
8
12
Mathematics Checkpoint 4.5
Page 3
3. Directions: After showing your thinking, write your answer in the box.
Subtract. Your answer should be in simplest form.
𝟖
𝟏𝟐
−
𝟐
𝟏𝟐
=
Mathematics Checkpoint 4.5
Page 4
4. Directions: After showing your thinking, circle the box you want to select.
Subtract the fractions. Select the correct answer in simplest form.
𝟔
𝟖
−
=
𝟏𝟎 𝟏𝟎
1
5
1
2
Mathematics Checkpoint 4.5
2
10
Page 5
5. Directions: After showing your thinking, write your answer in the box.
Add the fractions. Write your answer in simplest form.
𝟐
𝟑
+
𝟑
𝟏𝟐
=
Mathematics Checkpoint 4.5
Page 6
6. Directions: Solve the word problem below. After showing your thinking, write your
answer in simplest form in the box.
Each student in Mr. Graham’s class had to do a solar system project.
𝟏
𝟐
𝟔
of the class
did a project on the moon. of the class did their project on the sun. The
𝟐
remaining portion of the class did their project on Mars. What fraction of the
class did their project on the moon and the sun?
Mathematics Checkpoint 4.5
Page 7
7. Directions: After showing your thinking, draw an arrow from the math problem on the
left to the solution on the right. You must draw one arrow to and from each box.
Solve the mathematical problem on the left. Draw an arrow to the solution on
the right.
1.243 + 2.01 =
1.252
0.267 + 0.985 =
5.196
3.06 + 2.106 =
3.253
Mathematics Checkpoint 4.5
Page 8
8. Directions: After showing your thinking, write your answer in the box.
Solve the problem below.
1.024 + 0.97 =
Mathematics Checkpoint 4.5
Page 9
9. Directions: After showing your thinking, write your answer in the box. Be sure to
include the dollar symbol ($) and decimal.
Ridell went to the store to buy milk for his family. He gave the cashier $5.00. The
milk cost $2.79. How much change did the cashier give Ridell?
Mathematics Checkpoint 4.5
Page 10
Checkpoint Solutions
SOL 4.5 The student will
a) determine common multiples and factors, including least common multiple and greatest common factor;
b) add and subtract fractions having like and unlike denominators that are limited to 2, 3, 4, 5, 6, 8, 10, and 12,
and simplify the resulting fractions, using common multiples and factors;
c) add and subtract with decimals; and
d) solve single-step and multistep practical problems involving addition and subtraction with fractions and with
decimals.
Essential Knowledge and Skills
a.
b.
c.
d.
Find common multiples and common factors of numbers
Determine the least common multiple and greatest common factor of numbers
Use least common multiple and/or greatest common factor to find a common denominator for fractions
Add and subtract with fractions having like denominators whose denominators are limited to 2, 3, 4, 5, 6, 8, 10, and
12, and simplify the resulting fraction using common multiples and factors
e. Add and subtract with fractions having unlike denominators whose denominators are limited to 2, 3, 4, 5, 6, 8, 10,
and 12, and simplify the resulting fraction using common multiples and factors
f. Solve problems that involve adding and subtracting with fractions having like and unlike denominators whose
denominators are limited to 2, 3, 4, 5, 6, 8, 10, and 12, and simplify the resulting fraction using common multiples
and factors
g. Add and subtract with decimals through thousandths, using concrete materials, pictorial representations, and paper
and pencil
h. Solve single-step and multistep problems that involve adding and subtracting with fractions and decimals through
thousandths
Item
Answer/Solution
1
2
3
4
5
6
SOL/EKS
Code
Essential Knowledge and Skills
4.5aa
Find common multiples and common factors of numbers
Use least common multiple and/or greatest common factor
to find a common denominator for fractions
4.5ac
1
2
1
5
11
12
5
6
4.5bd
4.5bd
4.5be
4.5bf
Add and subtract with fractions having like denominators
whose denominators are limited to 2, 3, 4, 5, 6, 8, 10, and
12, and simplify the resulting fraction using common
multiples and factors
Add and subtract with fractions having like denominators
whose denominators are limited to 2, 3, 4, 5, 6, 8, 10, and
12, and simplify the resulting fraction using common
multiples and factors
Add and subtract with fractions having unlike
denominators whose denominators are limited to 2, 3, 4,
5, 6, 8, 10, and 12, and simplify the resulting fraction using
common multiples and factors
Solve problems that involve adding and subtracting with
fractions having like and unlike denominators whose
denominators are limited to 2, 3, 4, 5, 6, 8, 10, and 12, and
Mathematics Checkpoint 4.5
Page 11
7
8
9
4.5cg
1.994
$2.21
4.5cg
4.5dh
simplify the resulting fraction using common multiples and
factors
Add and subtract with decimals through thousandths,
using concrete materials, pictorial representations, and
paper and pencil
Add and subtract with decimals through thousandths,
using concrete materials, pictorial representations, and
paper and pencil
Solve single-step and multistep problems that involve
adding and subtracting with fractions and decimals
through thousandths
Mathematics Checkpoint 4.5
Page 12