Learning Objective Differentiate terminology from repeating,

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Presentation transcript:

Differentiate terminology from repeating, non-terminating decimal quotients

Learning Objective Differentiate terminology from repeating, non-terminating decimal quotients (M6NS-Ii-119)

Number and Number Sense Learning Content Number and Number Sense

Learning Resources Teachers Guide Pages 96-99 Curriculum Guide in Mathematics 6 Lesson Guide in Mathematics 6, pages 111-114 LRMDS Flashcards,multia-media

Procedures Drill 100 ÷ 50 30 ÷ 4 75 ÷ 5 40 ÷ 20 84 ÷ 3

(Checking of Homework) Procedures B. Review (Checking of Homework)

What can you say about this picture? Motivation (Insert picture of bayanihan like transferring a house to another place) What can you say about this picture?

What will you do so that we can finish the task given to us on time? Motivation What will you do so that we can finish the task given to us on time?

What do you notice with the decimal quotient? Presentation Mrs. Reyes bought 1/3 kg of lansones. The reading on the scale was 0.33. Did Mrs. Reyes get what she bought? How did you get 0.33? What do you notice with the decimal quotient?

Presentation When dividing, there are digits that repeat no matter how many zeroes are added. The remainders are not zeroes. These are called repeating or nonterminating decimals. The digit or set of digits that repeat is called repetend. Usually a bar is written over the numerals that are repeated. Ex. 2/11 = 0.181818 or 0.1818 4/9 = 0.444 or 0.4

The group who got the most correct answers won! Activity 1 (Group the pupils into 5. Let the members in each group work collaboratively. Let them present their output one at a time when done.) Find the quotients then indicate whether it is terminating or non-terminating decimal. Solve for 5 minutes. 2 ÷ 3 2. 3 ÷ 11 3. 4 ÷ 6 4. 4 ÷ 11 5 ÷ 11 5 ÷ 9 7. 4. 1 ÷ 2 8. 10. 7 ÷ 2 9. 2 ÷ 7 10. 10 ÷ 4 11. 7 ÷ 9 12. 48 ÷ 3 The group who got the most correct answers won!

Activity 2 How did you find the activity? How did you differentiate between terminating from repeating decimal?

Activity 2 We divide the numbers, if the quotients never ends, it is a repeating decimal. When the division terminates or comes to and end with a zero remainder, it is terminating decimal.

Activity 3 Divide and differentiate whether the quotient is terminating or nonterminating decimal. 12 ÷ 7 11 ÷ 9 5 ÷ 2 4 ÷ 83 45 ÷ 150

Fixing Skills Find the quotient and differentiate the quotient if it is terminating decimal or repeating decimal. 2 ÷ 9 13 ÷ 16 1 ÷ 6 9 ÷ 45 8 ÷ 9

Application Find out which of the following are terminating decimals and repeating decimals. 70 ÷ 14 9 ÷ 16 9 ÷ 13 3 ÷ 14 99 ÷ 11

Generalization How do you differentiate between terminating and non-terminating decimal?

Generalization A repeating or non-terminating decimal results when the division never ends. A bar is placed above the repetend. A terminating decimal results when the division terminates or comes to an end with a zero remainder.

Evaluation Solve and identify if the decimal quotient is a terminating or repeating/ nonterminating decimal. 1. 7 ÷ 4 2. 15 ÷ 9 3. 3 ÷ 16 4. 11 ÷ 2 5. 6 ÷ 27

Homework Differentiate the quotient if it is terminating decimal or repeating decimal: 9/400 104 ÷ 16 790 ÷ 99 106 ÷ 12 999 ÷ 81