MATHEMATICS 3.2
Reporting Category
Number & Number Sense
Computation & Estimation
Measurement & Geometry
Probability, Statistics, Patterns,
Functions, & Algebra
Grade 3 SOL
3.1(a-c), 3.2, 3.3(a-c)
3.4, 3.5, 3.6, 3.7
3.8, 3.9(a-d), 3.10(a-b),
3.11(a-b), 3.12, 3.13, 3.14,
3.15, 3.16
3.17(a-c), 3.18, 3.19, 3.20(ab)
Number of Items
10
10
11
9
Excluded from Testing
Number of Operational Items
Number of Field-Test Items
Total Number of Items on Test
None
40
10
50
Test
Math 3
Math 4
Math 5
Math 6
Math 7
Math 8
Algebra I
Geometry
Algebra II
Failing Scores
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
# correct
Minimum
% correct
26 of 40
31 of 50
31 of 50
28 of 50
65%
62%
62%
56%
31 of 50
31 of 50
25 of 50
25 of 50
27 of 50
62%
62%
50%
50%
54%
Advanced
Minimum
# correct
Minimum
% correct
36 of 40
45 of 50
45 of 50
45 of 50
90%
90%
90%
90%
45 of 50
46 of 50
45 of 50
44 of 50
43 of 50
90%
92%
90%
88%
86%
Mathematics Checkpoint 3.2 Page 1
1.
Directions: Look at each if/then math sentence shown below. Write the number in the box to make each number sentence true.
(a) If 9 + 1 = 10, then 10 – 9 =
(b) If 7 + 9 = 16, then 16 – = 9
(c) If 8 + 4 = 12, then – 4 = 8
Mathematics Checkpoint 3.2 Page 2
2.
Directions: Look at the multiplication problem below. Then write two related division fact sentences. Place one fact sentence into each of the blank boxes.
8 x 3 = 24
Mathematics Checkpoint 3.2 Page 3
3.
Directions: Look at the math fact sentences shown below. For each sentence, circle the number that makes the sentence true.
a. 5 + 4 = 9 and 9 – 5 = b. 13 + 2 = 15 and 15 – 13 =
0 1 4 5 2 4 13 28
Mathematics Checkpoint 3.2 Page 4
4.
Directions: Place a circle around each box you want to select. You must select all correct answers.
Mrs. Wood wrote this math sentence on the board:
7 x 4 = 28
Circle all the related basic math facts from the shaded box below.
4 x 7 = 28
28 ÷ 1 = 28
28 ÷ 7 = 4
28 ÷ 4 = 7
Mathematics Checkpoint 3.2 Page 5
5.
Directions: After reviewing the number sentence shown below, use the numbers and symbols in the shaded box to write three related basic math facts on the blank lines provided. You may use the numbers and symbols more than once.
9 x 2 = 18
9 2 18 x ÷ =
Related Fact Sentence #1:
Related Fact Sentence #2:
Related Fact Sentence #3:
Mathematics Checkpoint 3.2 Page 6
6.
Directions: Place a circle around each box you wish to select. You must select all possible correct answers.
Mr. Steve gave the students in his math class this basic math fact: 12 ÷ 4 = 3. He asked each student to write one related basic math fact.
Circle the box for each student that correctly wrote a related basic math fact.
Brandon
4 x 4 = 16
Michelle
3 x 12 = 36
Allen
4 x 3 = 12
Kristal
12 ÷ 3 = 4
George
12 ÷ 1 = 12
Sophie
3 x 4 = 12
Mathematics Checkpoint 3.2 Page 7
7.
Directions: Write your answers in the boxes provided below.
Given the number sentence 5 x 6 = 30 write three related basic fact sentences.
Mathematics Checkpoint 3.2 Page 8
SOL 3.2 The student will recognize and use the inverse relationships between addition/subtraction and multiplication/division to complete basic fact sentences. The student will use these relationships to solve problems.
Essential Knowledge and Skills a. Use the inverse relationships between addition/subtraction and multiplication/division to solve related basic fact sentences. For example, 5 + 3 = 8 and 8 – 3 = __; 4 x 3 = 12 and 12 ÷ 4 = __ b. Write three related basic fact sentences when given one basic fact sentence for addition/subtraction and for multiplication/division. For example, given 3 x 2 = 6, solve the related facts __ x 3 = 6, 6 ÷ 3 = __, and 6 ÷ __ = 3
Item Answer/Solution SOL/EKS
Code
Essential Knowledge and Skills
1a
1b
1c
2
3a
3b
4
5
6
1
7
12
24 ÷ 8 = 3
24 ÷ 3 = 8
4
2
4 x 7 = 28
28 ÷ 4 = 7
28 ÷ 7 = 4
2 x 9 = 18
18 ÷ 9 = 2
18 ÷ 2 = 9
12 ÷ 3 =4
3 x 4 = 12
4 x 3 = 12
3.2a
3.2a
3.2a
3.2a
3.2a
3.2a
3.2b
3.2b
3.2b
Use the inverse relationships between addition/subtraction and multiplication/division to solve related basic fact sentences. For example, 5 + 3 = 8 and 8 – 3 = __; 4 x 3 =
12 and 12 ÷ 4 = __
Use the inverse relationships between addition/subtraction and multiplication/division to solve related basic fact sentences. For example, 5 + 3 = 8 and 8 – 3 = __; 4 x 3 =
12 and 12 ÷ 4 = __
Use the inverse relationships between addition/subtraction and multiplication/division to solve related basic fact sentences. For example, 5 + 3 = 8 and 8 – 3 = __; 4 x 3 =
12 and 12 ÷ 4 = __
Use the inverse relationships between addition/subtraction and multiplication/division to solve related basic fact sentences. For example, 5 + 3 = 8 and 8 – 3 = __; 4 x 3 =
12 and 12 ÷ 4 = __
Use the inverse relationships between addition/subtraction and multiplication/division to solve related basic fact sentences. For example, 5 + 3 = 8 and 8 – 3 = __; 4 x 3 =
12 and 12 ÷ 4 = __
Use the inverse relationships between addition/subtraction and multiplication/division to solve related basic fact sentences. For example, 5 + 3 = 8 and 8 – 3 = __; 4 x 3 =
12 and 12 ÷ 4 = __
Write three related basic fact sentences when given one basic fact sentence for addition/subtraction and for multiplication/division. For example, given 3 x 2 = 6, solve the related facts __ x 3 = 6, 6 ÷ 3 = __, and 6 ÷ __ = 3
Write three related basic fact sentences when given one basic fact sentence for addition/subtraction and for multiplication/division. For example, given 3 x 2 = 6, solve the related facts __ x 3 = 6, 6 ÷ 3 = __, and 6 ÷ __ = 3
Write three related basic fact sentences when given one basic fact sentence for addition/subtraction and for multiplication/division. For example, given 3 x 2 = 6, solve the related facts __ x 3 = 6, 6 ÷ 3 = __, and 6 ÷ __ = 3
Mathematics Checkpoint 3.2 Page 9
7
6 x 5 = 30
30 ÷ 5 = 6
30 ÷ 6 = 5
3.2b
Write three related basic fact sentences when given one basic fact sentence for addition/subtraction and for multiplication/division. For example, given 3 x 2 = 6, solve the related facts __ x 3 = 6, 6 ÷ 3 = __, and 6 ÷ __ = 3
Mathematics Checkpoint 3.2 Page 10