We included HMH Into Math Grade 4 Answer Key PDF Module 6 Lesson 2 Investigate Remainders to make students experts in learning maths.
HMH Into Math Grade 4 Module 6 Lesson 2 Answer Key Investigate Remainders
I Can use visual models to identify the whole-number quotient and remainder in a division problem.
Spark Your Learning
Edwin is setting up tables and chairs for a party. There are 22 chairs. He must put the same number of chairs at each of these tables. How many chairs can Edwin put at each table?
Show your thinking.
Answer:
Explanation:
Edwin is setting up tables and chairs for a party. There are 22 chairs.
He must put the same number of chairs at each of these tables.
22 ÷ 2 = 11
So, Edwin can set 11 tables with 2 chairs each.
Turn and Talk Are there any chairs that Edwin does not put at the tables? Why or why not?
Build Understanding
1. Patrick needs 4 pinwheels to make each decoration for the party. He has 25 pinwheels. How many decorations can Patrick make? How many pinwheels will be left over?
Use counters or tiles to represent the problem. Then draw a visual model to show your work.
Answer:
A. How did you represent all of the pinwheels?
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Answer:
I represented the pinwheels using counters.
B. How did you represent the number of pinwheels in each decoration? _______________________________
Answer:
I represented the number of pinwheels in each decoration by making a row of counters.
C. How can you use your representation to find the number of decorations that Patrick can make?
_______________________________
Answer:
There are 6 rows of 4 counters each. 6 x 4 = 24. So, there are 6 decorations that Patrick made.
D. How can you use your representation to find the number of pinwheels that are left over?
_______________________________
Answer:
I left the number of pinwheels left over after making the decorations beside the counters in another row.
E. Patrick can make ___ decorations and ___ pinwheel will be left over.
Answer:
Patrick can make 8 decorations and 1 pinwheel will be leftover.
Turn and Talk How can you use the relationship between division and multiplication to check that your answer is reasonable?
Answer:
Division by a number is related to multiplication by the same number. The two related equations are made up of same numbers.
2. Elise has 35 pencils to make 8 party bags. She puts the same number of pencils in each bag. How many pencils does Elise put in each bag? How many pencils are left over?
A. Draw an array to represent 35 ÷ 8.
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Answer:
B. How does the array show how many pencils are in each party bag?
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Answer:
There are 4 rows in the array. So, the array shows that their are 4 pencils in each bag.
C. How does the array show how many pencils are left over?
_______________________________
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Answer:
There are 3 counters leftover in an incomplete row. So, the array shows that there are 3 pencils leftover.
Connect to Vocabulary
When a number cannot be divided evenly, the amount that is left over is called the remainder.
To record the answer, write the whole-number quotient, then the letter r, and then the remainder.
D. The whole-number quotient is ___ and the remainder is ___, or 4 or 3.
Answer:
The whole number quotient is 4 and the reminder is 3.
Turn and Talk Why is there a remainder in this problem?
Check Understanding Math Board
1. Leslie blows up 24 balloons. She will tie 9 balloons together to make a bouquet. How many bouquets can Leslie make? How many balloons will be left over? Draw a visual model to solve the problem.
Answer:
Explanation:
Leslie blows up 24 balloons. She will tie 9 balloons together to make a bouquet
24 ÷ 9
The whole number quotient is 2 and the reminder is 6.
On Your Own
Question 2.
Use Tools Ms. Ritchie has 42 sheets of paper for an art project. Each student needs 5 sheets. How many students can get paper? How many sheets are left over?
Use counters or tiles to represent and solve the problem.
___ students get paper. ___ sheets are left over.
Answer:
Explanation:
42 ÷ 5 = 8 with 2 as reminder
8 students gets paper and 2 sheets are leftover.
Write the whole-number quotient and remainder.
Question 3.
27 ÷ 4
whole-number quotient ____
remainder _______
Answer:
whole number quotient 6
reminder 3
Explanation:
There are 4 rows and 6 counters in each row
whole number quotient is 6 and the reminder is 3.
Question 4.
36 ÷ 7
whole-number quotient ____
remainder _______
Answer:
whole number quotient 5
reminder 1
Explanation:
There are 5 rows of 7 counters in each row
So, the whole number quotient is 5 and the reminder is 1.
Question 5.
Reason Draw a visual model for 17 ÷ 3. What is the remainder? How do you know?
Answer:
Explanation:
I drew a visual model for 17 ÷ 3
the whole number quotient is 5 and the reminder is 2.
I’m in a Learning Mindset!
How did using a visual model help me understand how to divide numbers that do not divide evenly?
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