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enVision Math Grade 5- Adapted Notes
Name- _____________
Topic 4 Lesson 1- Dividing Multiples of 10 and 100
Objective: Find the quotient of a division problem whose dividend is a multiple of 10, where
division involves a basic fact.
Vocabulary:
Define: dividend- the number that you are _______________________
Define: divisor- the number that you are _______________________ ____________
Define: quotient- the number that is the result of dividing; also known as the _____________ to a
division problem
DRAW:
Examples:
1. Look at the problem at the top of page 92
a. Look at the pattern
10/5= ____________
100/5= _____________
1000/5= _________________
10,000/5= __________________
2. 8400/7
Homework help
#30 HINT: you must add Mr. Paloma and Mrs. Paloma’s cell phone minutes first.
#32 HINT: Round 88 to the nearest ten and leave 7 the same
enVision Math Grade 5- Adapted Notes
Name- _____________
Topic 4 Lesson 2- Estimating quotients
Objective: Use rounding and compatible numbers to estimate quotients of whole numbers.
Recall: Rounding rules:
______
*Compatible numbers- we are looking for numbers
that we can easily divide together
_______
Examples:
1. Look at the top of page 94- How can you estimate quotients?
Option 1
Option 2
Use rounding to estimate
Use compatible numbers
258/6
258/6
Round 258 to _______
Replace 258 with ________
______/ _______= ________
______/ _______= ________
This is an overestimate or underestimate?
This is an overestimate or underestimate?
Why?_________________________
Why? ______________________________
Homework Help:
#1, 2, 4, 5, 6, 9, 11, 12, 13, 14, 15, 18, 19, 21, 22, 23, 28 round to the nearest 100
#3, 7, 8, 10, 16, 17, 20, 24, 25, 26, 27, 29, 30, 31, 32, 33, 34 use compatible numbers
enVision Math Grade 5- Adapted Notes
Name- _____________
Topic 4 Lesson 3- Reasonableness
Objective: Check problems for reasonableness by using various methods, including estimation and
checking the final answer.
Vocabulary:
Define: reasonable- the calculations are ______________ and the question given in the problem was
answered.
Example:
1. There are 60 students attending a field trip. One chaperone is needed for every 8 students.
How many chaperones are needed?
7R4
One student’s answer
8
60
-56
*So 7 chaperones are needed
4
Check for reasonableness:
Step 1 Is my calculation correct?
_______x_______= ________
_______+ _______=________
Step 2 Did I answer the right question?
Question asks for chaperones needed for ________ students
So, ____________________________________________________________________
The correct answer is ___________________.
enVision Math Grade 5- Adapted Notes
Name- _____________
Topic 4 Lesson 4- Connecting Models and Symbols
Objective: Find quotients using the model of sharing money.

This lesson involves drawing money.
Example:
1. Abbott M.S. raised $148 selling spaghetti at the school fundraiser dinner. How can the
principal divide the money equally among four school projects?
Work:
Draw:
Homework Help:


Draw models for #1, 3, 9, 11, 13, 15, and 17
Even though there are not dollar signs for #1-4 and #8-17 assume that you can use the
dividend as a dollar amount.
enVision Math Grade 5- Adapted Notes
Name- _____________
Topic 4 Lesson 5- Dividing by 1-digit numbers
Objective: Divide by three digit whole numbers by one digit divisors.
Examples: Students are selling candles to raise money. A shipment arrived yesterday. The candles
will be sold in boxes of 6 each. How many boxes can be filled?
Step 1
Estimate to
guess and check
Step 2
Step 3
Divide the tens
Bring down the ones
Multiply and subtract
_____________
Rounds to
_____________
Remainders 3 options
*Homework Help- Using compatible numbers will help you estimate the place to start dividing.
enVision Math Grade 5- Adapted Notes
Name- _____________
Topic 4 Lesson 6- Zeros in the Quotient
Objective: Divide with zeros in the quotient.
Review: Steps for dividing:
1.
2.
3.
4.
_____________________
_____________________
_____________________
_____________________
Examples:
1. On vacation the McQueen family drove a total of 830 miles in four days. What is the
average number of miles they drove each day?
Step 1
Estimate 1st and use
compatible numbers
Step 2
Step 3
Ask yourself:
Solve.
_____________________________
*If the answer is NO, add a ______
in the quotient.
Example 2
6
628
enVision Math Grade 5- Adapted Notes
Name- _____________
Topic 4 Lesson 7- Problem Solving- Draw a Picture and Write an Equation
Objective: Use pictures and equations to help represent remainders in a problem.
** Before starting a word problem, be sure to read through the problem and do the following:
Steps:
1.
2.
3.
4.
5.
6.
7.
What do I _________?
What am I ____________ _____ _________ ________?
Can I _________________ ____________________ __________________?
What operation am I going to need to do to _____________ _________ _______________?
__________ a ______________
Write an ___________________ (remember this needs a letter)
Solve
Example:
1. There are 112 campers going boating. The size of the boat and the number of people it can
hold is 6 people. How many boats will be needed to hold all of the campers?
Step 1
Step 2
Step 3
Step 4
Step 5
Know
Need to find
Picture
Equation
Solve