The document provides instructions and examples for solving routine and non-routine word problems involving division. It discusses the steps to take which include understanding the problem, planning the approach, solving, and checking the answer. Examples of both routine and non-routine word problems are provided along with the strategies used to solve them such as drawing a diagram, working backwards, and using a step-by-step method. Assessment questions are also included to check understanding of solving multi-step word problems using different models and strategies.
Solves Multi- step Routine and Non-routine Problems involving Division and an...Nerisa Herman
solve multi-step routine and non-routine problems involving division and any of the other operations of decimals, mixed decimals, and whole numbers including money using appropriate problem solving strategies and tools. M6NS-If-113.3
Solves Multi- step Routine and Non-routine Problems involving Division and an...Nerisa Herman
solve multi-step routine and non-routine problems involving division and any of the other operations of decimals, mixed decimals, and whole numbers including money using appropriate problem solving strategies and tools. M6NS-If-113.3
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2. Father God
Be with us today
Fill our hearts with joy
Fill our minds with learning
Fill our classroom with peace
Fill our lessons with fun
Fill our friendships with kindness
Fill our self with love
Amen.
3. Lesson 1-2
At the end of this lesson, you are expected to:
• solve routine problems involving division of 3- to 4-digit numbers by 1- to
2-digit numbers including money using appropriate problem solving
strategies and tools.
• solve non-routine problems involving division of 3- to 4-digit numbers by
1- to 2-digit numbers including money using appropriate problem solving
strategies
Routine problems are type of problems which there is an immediate solution. This also includes at least
one of the four fundamental operations in Mathematics. In this lesson, you are going to analyze different
routine word problem
A non-routine problem is any complex problem that requires some degree of creativity or originality to
solve. Typically, it does not have an immediately apparent strategy for solving it. Often times, these
problems can be solved in multiple ways.
4. Review:
Let me know if you really master how to divide numbers mentally.
1. 974÷2=
2. 695÷5=
5. 1600÷80=
3. 420÷7=
4. 2800÷7=
487
139
60
400
20
5. Lesson Proper
A total of 1842 volunteers will be helping in the distribution of food packs in all the 6
districts of Manila. Continuous distribution of relief goods was done by a Non-Government
Organization (NGO) to help families during the Covid19 Pandemic. How many volunteers
will each district have to help in the distribution?
What is the NGO’s best characteristic shown in the problem?
Will you do the same? Why?
A. Solving Routine Word Problems
Now let’s use these steps in finding the answer to our given word problem.
a. Understand
- Know what is asked
> the problem asked for the total number of volunteers will each district
have.
6. - What are given
> 1842 volunteers and 6 districts
b. Plan
- Know the operation
> The operation to be used is division
- Write the number sentence
> 1842÷6=N
c. Solve:
307_volunteers
7. d. Check and Look Back
To check if our quotient is correct we can do the inverse of division which is multiplication.
> Multiply the quotient to the divisor.
> If the product is the same with the dividend, then our quotient is correct.
307
(quotient)
x 6
(divisor)
= 1842
(dividend)
8. Let’s Try:
Solve the given word problem using the questions that follow.
Fifteen boy scouts are asked to collect 3015 straws to be used in their class projects. How
many straws should each boy scout collect?
A. Understand
1. What is asked in the problem?
2. What are the given facts?
> The problem asked for the number of straws each boy scout should collect
> 3015 straws, 15 boy scouts
B. Plan
3. What is the operation to be used?
4. Write the number sentence?
C. Solve
D. Check and Look Back
> Division
3015 ÷ 15 = N
201 straws
201 x 15 = 3015
9. B. Solving Non-Routine Word Problems
These are commonly used strategies in solving non-routine problems:
A farmer has some chickens and pigs in his farm. A visitor counted 14 heads and 40 legs
for those animals. How many chickens and pigs are there in the farm?
A. Using a Drawing or Diagram
H is the number of heads
10. There should be 40 legs in the farm. Distribute the number of legs by 2’s first.
There are only 28 legs distributed. You need to distribute the remaining 12 legs again to those who got
the first two legs.
Number
of legs
11. Those drawing with four legs represents the pigs and those with 2 legs represents the chicken.
Therefore, there are:
6 pigs and 8 chickens in the farm = 14 heads
6 pigs x 4 legs = 24 legs
+ 8 chicken x 2 legs = 16 legs
40 legs
12. A. The steps in solving routine problems are:
1. Understand
2. Plan
– know what is asked, know the given facts
– know the operation, write the number sentence
3. Solve – Write the correct label/units of your answer
4. Check and Look Back – Review and check your answer.
B. To solve non-routine involving division, read and analyze the problem. Tell
what is asked and identify the given facts. Then use the appropriate strategies
to find the answer like drawing a diagram, guess and check, working
backwards, etc.
13.
14. Lesson 3
At the end of this lesson, you are expected to:
• Solve multistep routine and non-routine word problems involving division and any of the other
operations of whole numbers including money using appropriate problem solving strategies and tools
What I Need to Know
What is a word problem? Is commonly include mathematical modelling questions, where data and
information about a certain is given and a learner is required to develop a model. It is also a verbal
description of a problem situation wherein one or more questions are posed, the answers to which
can be obtained by the application of mathematical operations to information available in the text.
There are two types of word problems. These are routine word problems and non-routine word
problems.
A good way to explain multistep routine and non-routine word problems is by using strategies
like acting out the problem, listing/table method, guess and check, drawing/making a diagram,
using patterns, working backwards, etc. to solve it.
15. What’s In
Let’s try. Solve the following problems using the different models drawn below.
1. Five posts are each 20 meters apart. What is the distance from the first to the last post?
?
80 m
16. What’s New
Analyze the problem.
Problem A
Leo bought 4 T-shirts and 2 pairs of pants for Php 3,000. If the Tshirt cost PhP 300 each, find the cost of each pair
of pants.
What is asked in the problem? How will you solve the problem?
There are different ways to answer word problems.
Solution for problem A:
A. Using a Step by Step Method
Step 1: Find the total cost of 4 T-shirts
Php 300 x 4 = Php 1,200
Step 2: Subtract the total cost of 4 Tshirts from
total amount spent
Php 3,000 – Php 1,200 = Php 1,800
Step 3: Divide the remaining amount by 2 to get the cost of
each pair of pants.
Php 1,800÷ 2 = Php 900
Therefore, the cost of each pair of pants is Php 900.
17. Problem B
The sum of the three numbers is 264. One of the numbers is 84. What is the average of the two numbers?
Solution for problem B:
• By using Polya’s Method
Understand:
Asked : The average of the two numbers
Given: 264 – the sum of the three number
84 – is the first number among the three numbers
Plan:
Operations: Subtraction and division
Solve: Subtraction ( 264 – 84 = 180)
180 is the new sum of the two numbers
Division (180 ÷ 2 = 90)
90 is the average of the two numbers.
