# Assessment on Math Series

Assessment on middle school math article series.

## Assessment Objectives

The assessment is aligned to the Common Core State Standards for Mathematics – Grade 4 – Operations and Algebraic Thinking

4.OA.1 Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 x 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.

4.OA.2 Multiply or divide to solve word problems involving multiplicative comparison.

4.OA.3 Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.

## Materials Required

Calculator

## Independent Work

**Look at the multiplication equations below. Explain in words what each equation means. Write the two word statements.**

1. 35 = 5 x 7

2. 65 = 5 x 13

3. 39 = 13 x 3

4. 42 = 6 x 7

5. 100 = 10 x 10

**Look at the word statements below. Write the multiplication equation for each word statement.**

6. 8 is 4 times as many as 2

7. 153 is 3 times as many as 51

8. 30 is 5 times as many as 6

9. 18 is 9 times as many as 2

10. 520 is 13 times as many as 40

**Look at the word problems below. Write equations for the word problems. Solve the equations and label your answers.**

11. The students at Washington School had a jump-a-thon. The students in Room 1 did 1027 jumps. The students in Room 2 did 3 times as many jumps as the students in Room 1. How many jumps did the students in Room 2 do?

12. The students at Jefferson School collected can goods. The students in Room 1 collected a total of 139 cans. The students in Room 2 collected 2 times as many cans as the students in Room 1 collected. The students in Room 3 collected the total number of cans the students in Room 1 and Room 2 collected. How many cans did the students in Room 3 collect?

13. Amelia has 3 times as many stickers as Becky. Amelia has 39 stickers. How many stickers do Amelia and Becky have together?

14. John has 2 times as many stickers as Peter. Peter has 19 stickers. How many stickers does John have?

15. On each tour around the lake, a boat can hold 20 passengers. 52 passengers have bought tickets for the tour. How many tours will the boat make? Explain your answer.

**Make a table to show the factor pairs for each number. Then determine whether the number is prime or composite.**

16. 25

17. 19

**Find the first three multiples for each number.**

18. 11

19. 13

20. 14

21. Look at the pattern below. What are the next two shapes?

22. Look at the pattern below. The pattern starts with 2. The rule is add 4. What are the next two numbers? What is the feature of this rule?

2, 6, 10, 14, 18, 22 ...

23. Look at the pattern below. The pattern starts with 1. The rule is add 2. What are the next two numbers? What is the feature of this rule?

1, 3, 5, 7, 9, 11, ...

24. Look at the pattern below. The pattern starts with 1. The rule is add 5. What are the next two numbers? What is the feature of this rule?

1, 6, 11, 16, 21, 26

25. Generate the first six numbers for a pattern that starts with 2 and has the rule add 4. What is the feature of this pattern?

## Answers

1. 35 is 5 times as many as 7 and 35 is 7 times as many as 5

2. 65 is 5 times as many as 13 and 65 is 13 times as many as 13

3. 39 is 13 times as many as 3 and 39 is 3 times as many as 13

4. 42 is 6 times as many as 7 and 42 is 7 times as many as 6

5. 100 is 10 times as many as 10 and 100 is 10 times as many as 10

6. 8 = 4 x 2

7. 153 = 3 x 51

8. 30 = 5 x 6

9. 18 = 9 x 2

10. 520 = 13 x 40

11. Let j = the number of jumps the students in Room 2 did. j = 3 x 1027, j = 3081, The students in Room 2 did 3081 jumps.

12. Let r = the number of cans the students in Room 2 collected. r = 2 x 139, r = 278, The students in Room 2 collected 278 cans. Let c = the number of cans the students in Room 3 collected. c = 139 + 278, c = 417, The students in Room 3 collected 417 cans.

13. Let b = the number of stickers Becky has, b = 39 / 3, b = 13, Becky has 13 stickers. Let c = the total number of stickers Amelia and Becky have together, c = 39 + 13, c = 52, Amelia and Becky have 52 stickers together.

14. Let j = the number of stickers John has, j = 2 x 19, j = 38, John has 38 stickers.

15. First, let t = the number of tours needed. t = 52 / 20, t = 2 remainder 12. The boat will need to make 3 tours.

16. 25 is composite

17. 19 is prime

18. 11, 22, 33

19. 13, 26, 39

20. 14, 28, 42

22. 26, 30 The feature of this pattern is all numbers are even numbers.

23. 13, 15 The feature of this pattern is all numbers are odd numbers.

24. 31, 36 The feature of this pattern is odd number and even number.

25. 2, 6, 10, 14, 18, 2 The feature of this pattern is all numbers are even.