Welcome to Math 6 Today’s lesson is “Division” (Part 1)
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Transcript of Welcome to Math 6 Today’s lesson is “Division” (Part 1)
![Page 1: Welcome to Math 6 Today’s lesson is “Division” (Part 1)](https://reader038.fdocuments.in/reader038/viewer/2022110210/56649e7e5503460f94b8149d/html5/thumbnails/1.jpg)
Welcome to Math 6
Today’s lesson is “Division”
(Part 1)
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KEY VOCABULARY FOR THIS LESSON
Dividend- the number that is divided.
Divisor- the number that you are dividing by.
Quotient- the answer in a division sentence.
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KEY VOCABULARY FOR THIS LESSON
Remainder- the portion of the dividend that is not evenly divisible by the divisor.
Algorithm- a set of rules for solving a problem in a finite number of steps.
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OBJECTIVE:
Each student will:Use the standard algorithm to
divide whole numbers by 1, 2 and 3 digit divisors.
Express the quotient either as a whole number with remainder or as a decimal.
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In this lesson we will divide whole numbers by whole numbers. And we will also divide decimals by whole numbers.
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Before you can be effective at long division:
First be able to do recall the basic multiplication and division facts.
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Second, understand and use the patterns of multiplying by multiples of 10, 100, 1000, etc.
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Third, understand and use the division patterns with multiples of 10, 100, 1000, etc
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Third, be familiar with the standard multiplication algorithm.
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In the same way that multiplication is like repeated addition, so is division like repeated subtraction.
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Now you can practice the standard algorithm.
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When you first learned to divide, if a number couldn’t be divided evenly, you learned to end with a “remainder.”
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Since you have learned what rational numbers are, you can now learn how to divide numbers that are less than a whole- like fractions and decimals.
A remainder can also be expressed either as a decimal or as a fraction.
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At different times, it is appropriate to express the quotient as a decimal, a fraction or a mixed number. (In this lesson, we will use decimals. In our next lesson we will explore how to divide with fractions.)
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In some cases the dividend is already a decimal and the quotient must be expressed as a decimal too.
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Money is divided into hundredths of a dollar, so money problems should be expressed as a decimal, as in the following example…
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6 friends go to lunch to celebrate a birthday. The cost of all 6 meals was $15. What was the average price per person?
Since 15 is not a multiple of 15, the quotient will not be a whole number.
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When there are no more digits in the dividend: • Place a decimal
point and bring it up to the quotient
• Add a 0 onto the remainder, and continue dividing.
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Add a 0 onto each remainder until the division is exact. In some cases, if the division doesn’t come out exact, round off the quotient to the required number of decimal digits.
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Here is another example:
A member of the school track team ran for a total of 179.3 miles in practice over 61 days. About how many miles did he average per day?
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GUIDED PRACTICE
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The Children’s Playschool took a school field trip. For the safety of the kids, each teacher was responsible for 24 kids. If 336 kids participated, how many teachers participated?
Guided Practice 1
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Guided Practice 2
A tiger eats 17 pounds of meat per day. If the tiger caught prey that weighed 357 pounds, how long will the food last?
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Guided Practice 3
Paul will pay for his new car in 36 monthly payments. If his car loan is for $19,061, then how much will Paul pay each month? Round your answer to nearest cent.
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Guided Practice 4
A tray can hold 234 eggs. If there are 18 rows in a tray, how many columns are there?
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Guided Practice 5
Larry worked 15 days for a total of 116.25 hours. How many hours did he average per day?
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GUIDED PRACTICE
Solutions
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Solutions
The Children’s Playschool took a school field trip. For the safety of the kids, each teacher was responsible for 24 kids. If 336 kids participated, how many teachers participated?
Guided Practice 1
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Guided Practice 2
A tiger eats 17 pounds of meat per day. If the tiger caught prey that weighed 357 pounds, how long will the food last?
Solutions
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Guided Practice 3
Paul will pay for his new car in 36 monthly payments. If his car loan is for $19,062, then how much will Paul pay each month? Round your answer to nearest cent.
Solutions
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A tray can hold 234 eggs. If there are 18 rows in a tray, how many columns are there?
Guided Practice 4
Solutions
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Guided Practice 5
Larry worked 15 days for a total of 116.25 hours. How many hours did he average per day?
Solutions
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INDEPENDENT PRACTICE
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Independent Practice 1
Sarah collected 900 different leaves. She made a collection of books with 25 leaves in each book. How many books of leaves did Sarah make?
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Independent Practice 2
725 noise makers are bought for the school’s New Year’s parties. 32 are sent to each class room. How many class rooms are there?
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Independent Practice 3
Dance lessons cost $198.75 for 15 classes. What is the fee for one class?
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Independent Practice 4
Six cases of paper cost $159.98. How much does one case cost? Round your answer to the nearest cent.
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Independent Practice 5
There are 2.54 centimeters in one inch. How many inches are there in 51.78 centimeters? Round your answer to the nearest thousandth.
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Independent Practice 6
614 children are sorted into teams of 18 for a game. How many teams are there?
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Independent Practice 7
George and Edna eat lunch at a restaurant. The bill is $27.12. If they share the bill equally, how much does each person pay?
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Independent Practice 8
How many mini-buses are needed to carry 530 people if the mini-buses carry 22 people each?
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INDEPENDENT PRACTICE
Solutions
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Independent Practice 1
Sarah collected 900 different leaves. She made a collection of books with 25 leaves in each book. How many books of leaves did Sarah make?
Answer: 25 books of leaves.
Solutions
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Independent Practice 2
725 noise makers are bought for the school’s New Year’s parties. 32 are sent to each class room. How many class rooms are there?
Answer: There are 23 class rooms; there would also be 29 noise makers left over.
Solutions
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Independent Practice 3
Dance lessons cost $198.75 for 15 classes. What is the fee for one class?
Answer: $13.25
Solutions
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Independent Practice 4
Six cases of paper cost $159.98. How much does one case cost? Round your answer to the nearest cent.
Answer: $26.66
Solutions
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Independent Practice 5
There are 2.54 centimeters in one inch. How many inches are there in 51.78 centimeters? Round your answer to the nearest hundredth.
Answer: 20.38 inches.
Solutions
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Guided Practice 6
Solutions
614 children are sorted into teams of 18 for a game. How many teams are there?
Answer: 34 teams, but there are two extra children.
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Independent Practice 7
George and Edna eat lunch at a restaurant. The bill is $27.12. If they share the bill equally, how much does each person pay?
Answer: $13.56 each
Solutions
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Independent Practice 8
How many mini-buses are needed to carry 530 people if the mini-buses carry 22 people each?
Answer: 25 mini-buses.
(The last bus would have only two passengers.)
Solutions
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1. Complete the “Green Drink Division” Problem-Solver Page.
Assignments:
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Conclusion:
When dividing, be sure you understand what is the best way to express your answer. Make sure you know what it means. This is the essence of communicating in math.
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Conclusion:
In our next lesson we will explore how to use a fraction to express the quotient.
Until then, enjoy the assignments. And be sure to finish them all before starting Division Part 2.
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