Lesson 44: Dividing Decimals With Up To 2 Decimal Places

Week 6

Objective: Divides decimal with up to 2 decimal places

Value Focus: Punctuality

Prerequisite Concepts and Skills:

Mastery on dividing whole numbers and dividing decimals

Materials: Number cards, flash cards, chart, calculator

References: K to 12 Grade 5 Curriculum Guide M5NS-IIf-116.1, Learners Material, Mathematics for a Better

Life pp.182-183, Growing Up with Math pp. 170-172

Instructional Procedures:

  1. Preliminary Activities
  1. Drill

Strategy: Game – “Stepping on a Ladder”

Mechanics:

  1. Divide the pupils into 2 groups with 3 members.
  2. Teacher will flash a number card.
  3. Pupil 1 in each group will say their answer.
  4. The pupil who can give the correct answer first earns the point so he/she will make one step forward.
  5. Game continues until the three members of the group reach the end point.
  6. The team who reached the end point first declared a winner.

880 ÷ 8
155 ÷ 5
324 ÷ 4
3648 ÷ 6
9645 ÷ 3
  1. Review

Strategy: Game –“ Number Scramble”

Materials: 2 sets of cards with digits 0 – 5

Mechanics:

  1. Form 2 groups. Give each group a set of cards
  2. Using the numbers on their cards, ask the groups to form a division equation that will satisfy the question you will dictate.

Sample questions:

  1. Form a division equation that gives the smallest possible quotient.
  2. Form a division equation that gives the greatest possible quotient.
  3. Form a division equation that gives a quotient multiple by 10.
  4. Form a division equation with a number 2 in the quotient. Etc.
  1. The group who can first give the correct answer gets a point.
  2. The first group to earn 3 points win the game
  1. Motivation

What projects do you do in your EPP class? Do you make these yourself? Do you submit these on time?

  1. Developmental Activities
  1. Presentation

Present this problem to the class.

Aldy bought a piece of rattan 0.36- metre long for his EPP project. He cut it into pieces of 0.12metre each. How many pieces did he make?

  1. Help the pupils understand the answer by asking some comprehension questions. Then ask: What is asked? What are given?
  2. What operation should you use to solve the problem ? Why is division the operation needed to solve it?
  3. Let the pupils write the number sentence on the board.
  4. Show this flow chart to show the sequential steps in dividing a decimal by a decimal.

0.36 x 100
0.12 x 100
36
12
3
0.36 ÷ 0.12
0.36
0.12

1 2 3 4 5

  1. Talk about the chart.

What did we multiply to the dividend and the divisor?

  1. Elicit from the pupil that once the divisor has been changed to a whole number, the equation can then be simplified just like in dividing whole numbers.
  2. Ask the pupils: Is your answer reasonable? How can you use multiplication to check your answer?
  3. You may further ask: If you were Aldy, would you also exert such effort in order to be able to submit your project on time?
  1. Performing the Activities

Study the problem, then answer the questions .

Jenny bought 0.75 meter of pink ribbon, which she will cut into 0.25 meter strips for her

Project in EPP. How many pieces did she make?

  1. What is asked?
  2. What are given?
  3. What is the operation to be used to solve the problem?
  4. What is the number sentence?
  5. What is the answer? Present your answer in a flowchart showing the sequential steps in dividing decimal by a decimal.
  6. Why was the decimal point moved two places to the right in both the dividend and the divisor?
  1. Processing the Activities

After all teams have presented their output, ask the questions : “ How did you find the

Activity? How were you able to find the answer to the problem? Discus with the pupils the

steps in dividing decimal with up to 2 decimal places.

  1. Reinforcing the Concept and Skill
  1. Discuss the presentation under “ Explore and Discover “ in LM.
  2. For more practice, have the pupils work on items 1-5 under “ Get Moving “
  3. Ask the pupils to work on the exercises under “ Keep Moving “ using calculator.
  1. Summarizing the Lesson

Lead the pupils to give the following generalization by asking :

How do we divide a decimal with up to two decimal places?

In dividing a decimal with a two digit decimals :
  • First, make both divisor and dividend a whole number by multiplying 100 or by moving decimal point two times going to the right.
  • Then, divide as in dividing with a whole numbers

  1. Applying to New and Other Situations

Ask the learners to solve items 1-5 under “ Apply Your Skills “ in LM.

  1. Assessment

Find the quotient.

1). 0.24 ÷ 0.06

2). 0.56 ÷ 0.08

3). 0.88 ÷ 0.11

4). 4. 55 ÷ 0.05

Divide and check your answer using multiplication.

5). How many 0.29 piece are there in a 9.28 meter of cloth?

  1. Home Activity

Remediation

Answer these questions:

  1. How many 0.31 meter are there in 9 61 meters?
  2. How many 0.12 cm are there in 6.48 cm?
  3. How many 0.26 m are there in 5.98 m?
  4. How many 0.47 m are there in 6.11 m?
  5. How many 0.08 kg are there in 6.48 kg?

Enrichment

Try more. Find the quotient.

  1. 104.88 ÷ 0.38
  2. 243.75 ÷ 0.75
  3. 113.40 ÷ 0.18
  4. A construction supervisor worked 9.5 hours and earned Php1 472.50. How much was his hourly rate?
  5. A driver asked that his tank be filled with Php350.00 worth of gasoline. The attendant filled his tank with 21.20 liters of gasoline. To the nearest centavo, how much did a liter cost him?