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Grade 4
Patterns, Functions and Algebra Answers
Question 13
1
Plain balloons cost 12¢ each. Fancy balloons cost 16¢ each.
a. What would be the total cost for 5 plain and 5 fancy balloons? Explain how you
got your answer using pictures, numbers, or words.
b. Mason bought 10 balloons that cost a total of $1.36. He bought at least one plain
balloon and one fancy balloon. How many of each kind of balloon did Mason
buy? Show or explain how you got your answer using pictures, numbers, or
words.
c. Is there a different way that Mason could have gotten 10 balloons for exactly
$1.36? Explain why or why not using pictures, numbers, or words.
Scoring Guide
Score
Description
4
The student demonstrates a thorough understanding of solving problems
involving operations, including money, by accurately completing all components
and effectively explaining procedures.
3
The student demonstrates a general understanding of solving problems involving
operations, including money, by completing all components and explaining
procedures.
2
The student demonstrates a basic understanding of solving problems involving
operations, including money, by completing some components.
1
The student demonstrates a minimal understanding of solving problems
involving operations, including money.
0
The response is incorrect or contains some correct work that is irrelevant to the
skill or concept being measured.
Blank No Response.
2
2002 MCAS
Grade 4 Mathematics
Question # 13 - Score Point 4
3
4
5
Open Response Question 17
Use the diagram below to answer question 17.
6
1 pair of scissors weighs the same as 4
erasers
3 pencils weighs the same as 1
eraser
a. How many pairs of scissors weigh the SAME AS 12 erasers? Be sure to explain or
show how you know you are right.
12 erasers weighs the same as ___ scissors
b. Do three erasers weigh the SAME AS six pencils? Explain or show how you know.
c. How many pencils weigh the SAME AS one pair of scissors? Use pictures,
numbers, or words to show how you know.
d. Write ONE number sentence to show how many pencils AND erasers weigh the
SAME AS two pairs of scissors.
Scoring Guide
Score
Description
4
The response demonstrates a thorough understanding of solving problems using
number sentences and mathematical relationships and effectively communicates
reasoning.
3
The response demonstrates a general understanding of solving problems using
number sentences and mathematical relationships and communicates reasoning.
2
The response demonstrates a partial understanding of solving problems using
number sentences and mathematical relationships.
1
The response demonstrates a minimal understanding of solving problems using
number sentences and mathematical relationships.
0
The response is incorrect or contains some correct work that is irrelevant to the
skill or concept being measured.
Blank No response.
7
8
9
Answer: B, 3
Answer: C, Library
10
Answer: A
Part A: 5 goes into the center circle, and 3 + 5 = 8 for the top left circle; 5 + 7 = 12 for the
top right circle.
Part B: The bottom row of numbers are multiplied together to make the next number
above it.
11
ANSWER: C
12
13
ANSWER:
14
ANSWER: C
ANSWER: C
ANSWER: D
15
16
17
18
19
20
21
22
23