# Eureka Math Grade 3 Module 1 End of Module Assessment Answer Key

## Engage NY Eureka Math 3rd Grade Module 1 End of Module Assessment Answer Key

Question 1.
Mr. Lewis arranges all the desks in his classroom into 6 equal groups of 4. How many desks are in his classroom? Show a picture and multiplication sentence in your work.
a. What does the product in your multiplication sentence represent?

24 desks are there in Mr. Lewis classroom,
Multiplication Sentence: 4 X 6 = 24, the product in your multiplication sentence represent there are 24 desks. Explanation:
Given Mr. Lewis arranges all the desks in his classroom into 6 equal groups of 4.
So total desks his classroom are 24,
Shown a picture and multiplication sentence is 4 × 6 = 24.

b. Fill in the blanks below to complete a related division sentence.
_24_ ÷ 4 = ___6___,

Explanation:
Related division sentence is 24 ÷ 4 = 6,
when 24 is divided into 4 times we get 6 parts each.

c. What does the quotient in Part (b) represent?
Quotient represents 6 parts,

Explanation:
The quotient in the division sentence 24 ÷ 4 represents 24 is divided by 4 then we get quotient as 6 equal parts.

Question 2.
a. Draw an array that shows 9 rows of 2. Write a multiplication sentence to represent the array, and circle the factor that represents the number of rows.
b. Draw another array that shows 2 rows of 9. Write a different multiplication sentence, and circle the factor that represents the size of the row.
c. Explain the relationship between the two arrays using number sentences and words.

a. Explanation:
Drawn an array that shows 9 rows of 2,
Wrote a multiplication sentence to represent the array as 9 × 2 = 18 and circled the factor 9 that represents the number of rows.

b. Explanation:
Drawn another array that shows 2 rows of 9.
Wrote a different multiplication sentence as 2 × 9 = 18 and circled the factor that 2 represents the size of the row.

c. The relationship between the two arrays is the results is same,

Explanation:
The relationship between the two arrays is same as number sentences is 9 × 2 = 18, 2 × 9 = 18, means if 9 rows are multiplied by 2 times we get 18 and if 2 is multiplied by 9 times also we get result as 18 only. therefore if x rows and y columns are there then x × y = y × x the product result will be the same.

Question 3.
Ms. Park buys a tray of apples for a class party. There are 5 rows of 4 red apples. There is 1 row of 4 green apples.
a. The picture below shows Ms. Park’s apples. Fill in the blanks to complete the expressions.  Explanation:
Given Ms. Park buys a tray of apples for a class party.
There are 5 rows of 4 red apples.
There is 1 row of 4 green apples,
The expression is Total apples: 6 × 4,
Red apples: 5 × 4, Green apples: 1 × 4.

b. Fill in the unknowns in the equation below to match the picture of the apples in Part (a). Use the break apart and distribute strategy to find the total number of apples Ms. Park bought.
_____ × 4 = _____ × 4 + _____ × 4
Ms. Park bought ________ apples.

Equation is 6 × 4 = ((5 × 4) + (1 × 4)),
A total number of apples Ms. Park bought 24 apples.

Explanation:
The equation below to match the picture of the apples in Part (a). Using the break apart and distribute strategy is Equation is 6 × 4 = ((5 × 4) + (1 × 4)),
The total number of apples Ms. Park bought are 24 apples.

c. Lilly brings 8 green apples for the class party. Show Lilly’s green apples on the picture in Part (a). Then, fill in the unknowns in the equation below to match the new picture. Solve to find the total number of apples.
_____ × 4 = _____ × 4 + _____ × 4
There are ________ apples in all. Equation is 8 × 4 = ((5 × 4) + (3 × 4)),
Total number of apples are 32.

Explanation:
Given Lilly brings 8 green apples for the class party.
Shown Lilly’s green apples in the picture in Part (a) as above, Then, filled the unknowns in the equation below to match the new picture as 8 × 4 = ((5 × 4) + (3 × 4)), on solving to find the total number of apples are 20 + 12 = 32 apples.

Question 4.
Mr. Myer’s class plays a game. The class earns 5 points each time they answer a question correctly. The class earns 50 points playing the game on Monday.
a. How many questions did the class answer correctly? Show a picture and division sentence in your work.

The class answered 10 questions correctly, The division sentence is 50 ÷ 5= 10,

Explanation:
Given Mr. Myer’s class plays a game, The class earns 5 points each time they answer a question correctly. The class earns 50 points playing the game on Monday. So the number of questions the class answered correctly is (50 ÷ 5= 10) 10 questions.
Shown a picture and division sentence in the picture above,
Division Sentence : 50 ÷ 5= 10.

b. Mr. Myer uses the equation 5 × _____ = 50 to find how many questions the class answered correctly. Is his method correct? Why or why not?

His method is correct only but it is time consuming,

Explanation:
Given Mr. Myer uses the equation 5 × _____ = 50 to find how many questions the class answered correctly. His method is correct, Why because he goes on
substituting numbers till he gets the answer, Mr. Myer gets the answer as 5 X 10 = 50, But his method is time consuming and little long.

c. The class answered 7 questions correctly on Tuesday. What is the total number of points the class earned on both days?

The total number of points the class earned on both days is 50 + 35 = 85 points,

Explanation:
Given the class answered 7 questions correctly on Tuesday. So the total number of points the class earned on both days is Monday – 50 points, Tuesday – 5 × 7 = 35 points, In total 50 + 35 = 85 points.

Question 5.
Complete as many problems as you can in 100 seconds. Your teacher will time you and tell you when to stop.    