Top 6 Best Lesson Plans for "Numerals and Quantifiers" in 6th Grade

I. BASIC KNOWLEDGE

1. What are numerals?

a) Example:

(1) Two men asked the king what items should be prepared for the wedding ceremony. The king replied: "One hundred rice cakes, one hundred bundles of sticky rice, nine tusks of elephants, nine claws of chickens, and nine golden manes of horses, one pair of each."

(Sơn Tinh, Thuỷ Tinh)

(2) It is said that in the reign of the sixth Hung King, in the village of Gióng, there lived an elderly couple who worked hard and were known for their virtue.

b) Based on the bolded words, identify the noun phrases.

Suggested answer: two men, one hundred rice cakes, one hundred bundles of sticky rice, nine tusks, nine claws, nine golden manes, one pair; the sixth, the elderly couple.

c) What roles do the words two, one hundred, nine, one, and six play in the phrases, and what meaning do they add?

Suggested answer: These words are numerals, providing information about quantity for the noun following them.

d) Extend the phrase "one pair" with an example, like: one pair of chopsticks.

e) Is the word "pair" in these phrases a numeral? Why or why not?

Suggested answer: The phrase "one pair" or "one pair of chopsticks" is a noun phrase. The word "pair" is a noun indicating a unit of measure, while "one" is a numeral indicating quantity.

f) Numerals are words indicating the quantity or order of objects. When indicating quantity, numerals typically come before the noun, whereas when indicating order, numerals follow the noun, like: the sixth.

Note: Distinguish numerals from nouns indicating units of measure related to quantity, such as the word "pair": a pair is not a numeral, but a noun denoting a unit (e.g., a pair of chopsticks). Other common unit nouns associated with quantities are: pair, dozen, couple, ten,...

g) Provide examples of noun phrases with the words dozen, pair, and ten.

Suggested answer:

a dozen pencils
a pair of shoes
ten eggs

2. Quantifiers

a) Example:

[...] The princes had to remove their armor and surrender. Thạch Sanh ordered a meal to entertain the defeated soldiers. However, many thousands of generals and soldiers saw that Thạch Sanh had only prepared a small pot of rice, and they pouted, unwilling to use chopsticks.

(Thạch Sanh)

b) Based on the bolded words, identify the noun phrases.

Suggested answer: the princes; the defeated soldiers; many thousands of generals and soldiers.

c) Compare the bolded words with numerals (in terms of position relative to the noun and meaning).

Suggested answer: The bolded words are quantifiers, similar to numerals in that they come before the noun but differ in meaning:

Numerals indicate quantity or order of objects;
Quantifiers indicate the amount or degree of objects.

d) Place these noun phrases with quantifiers into the noun phrase structure.

e) Quantifiers are divided into two categories: one indicating the total meaning (e.g., all, everyone, all of...) and the other indicating grouping or distribution (e.g., some, those, each, every,...).

f) Write three sentences with quantifiers representing total meaning and three sentences with quantifiers representing grouping or distribution.

Suggested answer:

Sentences with quantifiers indicating total meaning: On New Year's Day, all students were given a week off.
Sentences with quantifiers indicating grouping or distribution: The homeroom teacher reminded each student before the summer break.

II. PRACTICAL EXERCISES

Question 1. Identify the numerals in the following poem. What type of numerals are they?

Unable to Sleep

One watch... two watches... then three watches, tossing and turning, unable to fall asleep; the fourth watch, the fifth watch, just starting to doze off, the golden star with five petals drifting in dreams.

(Hồ Chí Minh)

Suggested answer:

Numerals indicating quantity: one watch, two watches, three watches, five petals;
Numerals indicating order: the fourth watch, the fifth watch.

Question 2. What numerals are used in the following lines, and how are they applied?

He traveled across hundreds of mountains and thousands of ravines,
Nowhere does he compare to the countless pains of a broken heart.

(Tố Hữu)

Suggested answer: The words hundreds, thousands, and countless are numerals representing large quantities, symbolizing a vast number.

Question 3. Compare the meanings of the words "each" and "every" in the following sentences:

a) The god used magic to move each hill, and shift each mountain [...].

(Sơn Tinh, Thuỷ Tinh)

b) One day, being pursued by the enemy, Lê Lợi and his generals retreated each in a different direction.

(Sự tích Hồ Gươm)

Suggested answer: Both words share a similar meaning, referring to the separation of individual objects or entities. The difference is that "each" suggests a sequential order, while "every" emphasizes distinct separation without implying sequence.

Complete Questions 1, 2, 3, 4, 5 on page 63 of the Workbook (SBT) for 6th Grade Literature, Volume 1. 4. How do the words: pair, dozen, couple compare and contrast with numerals? Create a sentence using one of these words.

Exercise

1. Exercise 1, page 129, Textbook.

2. Exercise 2, page 129, Textbook.

3. Exercise 3, pages 129-130, Textbook.

4. How do the words: pair, dozen, couple compare and contrast with numerals? Create a sentence using one of these words.

5. In the following sentences, there are two sentences with the word "everyone." Can the word "all" replace "everyone"? If only the word "all" is used (without "everyone"), how should the sentence be rewritten?

Everyone walked and chatted, joking and calling each other. Cu Tí looked on. No one recognized Cu Tí's voice calling. Everyone turned and laughed, teasing Cu Tí.

Suggested answers

Question 1. Students should find the numerals (in lines 1, 3, and 4 of the poem).

To understand the meaning of numerals, students should pay attention to their position relative to the noun. If the numeral is placed before the noun, it indicates quantity; if placed after, it indicates order.

Question 2. Typically, the words hundred and thousand, when paired with numerals, indicate exact quantities (e.g., one hundred, one thousand...), while the word "myriad" represents an imprecise amount.

Students should examine whether the words hundred and thousand used in the poem represent exact "hundreds" and "thousands" or an approximate quantity.

Question 3. Both "each" and "every" indicate distribution, separating individual entities, but "each" implies a sequential order (one after the other), while "every" does not carry this meaning.

Question 4. Students should focus on the meanings and combinations of the words pair, dozen, couple, and ten to identify how they resemble or differ from numerals.

Question 5. The word "everyone" indicates distribution, while "all" refers to the total amount. These two words can be used together to indicate the whole, for example: All of everyone (emphasizing no one is excluded), or they can be used interchangeably when the noun refers to a specific entity or group, like: All the students of class 6A - Everyone in class 6A...

Question 1 (Page 128, Textbook of Literature 6, Volume 1):

a. - The word "two" adds meaning to the word "young man".

- The word "one hundred" adds meaning to the phrase "sticky rice cake".

- The word "one hundred" adds meaning to the phrase "chung cake".

- The word "nine" adds meaning to the word "ivory".

- The word "nine" adds meaning to the word "talons".

- The word "nine" adds meaning to the word "red hair".

- The word "one" adds meaning to the word "pair".

- All these bolded words appear before a noun and provide additional information about the quantity of the noun.

b. - The word "six" adds meaning to the word "order".

- This bolded word appears after the noun and indicates the ordinal number following the noun.

Question 2 (Page 128, Textbook of Literature 6, Volume 1):

- The word "pair" in part a is not a numeral because it signifies a unit and functions as a unit noun.

Question 3 (Page 128, Textbook of Literature 6, Volume 1):

- Some words with a similar general meaning and function to the word "pair" are: dozen (a dozen towels, ...), couple (a couple of cakes, ...), dozen (a dozen bananas, ...), ...

II. Quantifiers

Question 1 (Page 128, Textbook of Literature 6, Volume 1):

- Similarities: all these bolded words appear before a noun.

- Differences:

+ "some, all, both, a few" indicate quantity (whether few or many) of things and appear before the noun. Such words are called "quantifiers".

+ Numerals indicate quantity or the order of things.

Question 2 (Page 129, Textbook of Literature 6, Volume 1):

- Words with similar functions and meanings include: all, each, every, every single, ...

III. Practice

Question 1 (Page 129, Textbook of Literature 6, Volume 1):

- "one, two, five (watches)" are numerals indicating the amount of time that has passed from one watch to another, but Uncle Ho cannot sleep as he is tossing and turning.

- "(watch) four, five" are numerals indicating the order of the watches from four to five.

Question 2 (Page 129, Textbook of Literature 6, Volume 1):

- Words like "hundred"(mountain), "thousand"(stream), and "myriad"(sorrow) are numerals used to express the idea of a large quantity, or something very large.

Question 3 (Page 129, Textbook of Literature 6, Volume 1):

* The similarities and differences between the words "each" and "every" are:

- Similar: both separate things, treating each item as an individual.

- Differences:

+ "Each": implies a sequential order, one thing after another.

+ "Every": emphasizes separation, with no implied order.

Question 4 (Page 130, Textbook of Literature 6, Volume 1):

- When spelling, you need to pay attention and listen carefully to differentiate between easily misheard words such as [ra], [chả], [tất tưởi], [giơ].

I. Numerals

1. The word two adds meaning to the word young man.

- The word one hundred adds meaning to the phrase sticky rice, rice cake.

- The word nine adds meaning to the words ivory, talons, red hair, pair.

→ These words appear before the noun and add meaning in terms of quantity.

2. The word "pair" is not a numeral. Because "pair" is a noun that refers to a unit of measurement.

3. Words with similar meanings to "pair": dozen, couple, dozen...

II. Quantifiers

1. Words like "some", "all", "both", "a few" are words that estimate the quantity of things and appear before nouns.

2. Model for noun phrases

III. Practice

Question 1 (Page 129, Textbook of Literature 6, Volume 1)

Numerals in the poem:

- Question 1: one, two, three

- Question 2: four, five

- Question 4: five

- Based on the position of the numeral (before or after the main noun, time and activity)

→ To indicate quantity: generally placed before the main noun

+ To indicate order: the numerals in line 3 (after the main noun)

Question 2 (Page 129, Textbook of Literature 6, Volume 1)

Hundred, thousand, and myriad here are not used to specify exact quantities, but rather to express large, abundant quantities.

Question 3 (Page 129, Textbook of Literature 6, Volume 1)

- Similar: both imply separation of objects or entities.

The difference is:

+ "Each": implies sequential order, from one item to the next.

+ "Every": emphasizes separation, with no order implied.

I. NUMERALS

Answer to Question 1 (page 128, Grade 6 Literature Textbook, Volume 1):

Which words in bold in the following sentences add meaning to other words? Where do they appear in the phrases and what do they add to the meaning?

a) Two young men asked what gifts they needed to prepare. The king replied: "One hundred pieces of sticky rice cakes, one hundred bundles of rice cakes, and elephants with nine tusks, chickens with nine claws, horses with nine red manes, and each item in a pair."

(Son Tinh, Thuy Tinh)

b) According to legend, during the reign of the sixth Hung King, in the village of Giong, there was an old couple who were known for their hardworking nature and virtuous character.

(Saint Giong)

Answer:

The bolded words add meaning to the following nouns:

- (two) young men

- (one hundred) pieces of sticky rice cakes

- (one hundred) bundles of rice cakes

- (nine) tusks

- (nine) claws

- (nine) red manes

- (one) pair.

- (sixth) Hung King

Answer to Question 2 (page 128, Grade 6 Literature Textbook, Volume 1):

Is the word "pair" in the phrase "each item in a pair" a numeral? Why or why not?

Answer:

The word "pair" in "one pair" is not a numeral because it represents a unit of measure and functions as a noun indicating the unit of count.

Answer to Question 3 (page 128, Grade 6 Literature Textbook, Volume 1):

Find additional words with a similar general meaning and function as "pair".

Answer:

Some words with a similar meaning and function as "pair": dozen, couple, group of ten

II. QUANTIFIERS

Answer to Question 1 (page 128, Grade 6 Literature Textbook, Volume 1):

What is the similarity and difference between the meaning of the bolded words in the sentences above and the meaning of numerals?

"[...] The princes must remove their armor and surrender. Thach Sanh ordered a banquet for the defeated soldiers. Thousands of generals and soldiers saw Thach Sanh only prepared a small pot of rice, and they scowled, refusing to eat."

Answer:

The bolded words in the sentences are similar to numerals in that they appear before nouns.

- However, they differ from numerals in that:

+ Numerals indicate exact quantities or order of items.

+ The bolded words indicate an approximation of quantity or amount, representing quantifiers.

Answer to Question 2 (page 129, Grade 6 Literature Textbook, Volume 1):

Place the bolded words into a noun phrase model. Find additional words with similar meanings and functions.

Answer:

The bolded words can be classified into two categories in the noun phrase model:

- Quantifiers indicating totality: all, whole, entire...

- Quantifiers indicating grouping or distribution: each, every, some...

III. EXERCISES

Answer to Question 1 (page 129, Grade 6 Literature Textbook, Volume 1):

Find the numerals in the following poem. Identify their meanings.

Unable to Sleep

One watch... two watches... then three watches

Tossing and turning, sleep wouldn't come;

Watches four, five, just a brief nap,

Golden star with five petals surrounded my dreams.

(Ho Chi Minh)

Detailed Answer:

The numerals in the poem are:

- one watch, two watches, three watches, five watches: numerals indicating quantity.

- watches four, watches five: numerals indicating order.

Answer to Question 2 (page 129, Grade 6 Literature Textbook, Volume 1):

What is the meaning of the bolded words in the two following lines of poetry?

"I travel across a hundred mountains and a thousand valleys"

"Nowhere compares to the thousand sorrows I carry in my heart."

(To Huu)

Detailed Answer:

The bolded words "hundred", "thousand", and "myriad" in these two lines of poetry are used to represent a vast amount, indicating a large quantity.

Answer to Question 3 (page 129, Grade 6 Literature Textbook, Volume 1):

In the following two examples, what is the difference in meaning between the words "each" and "every"?

a) The god used magic to move each hill, each mountain [...].

b) One day, pursued by enemies, Le Loi and his generals split up, each going in a different direction.

Detailed Answer:

- Similarity: both words indicate the separation of objects or entities.

- Difference:

+ "Each": implies an ordered sequence, one after another.

+ "Every": emphasizes separation, without implying order.

1. Numerals

- Definition: Numerals are words that denote the quantity and order of objects.

- When indicating the quantity of objects, numerals typically precede the noun. When indicating order, numerals come after the noun.

- It's important to distinguish numerals from nouns that represent units associated with quantities.

2. Quantifiers

- Definition: Quantifiers are words that express the amount or quantity (few or many) of an object.

- Based on their position in noun phrases, quantifiers can be divided into two groups:

+ Group indicating total meaning;

+ Group indicating collective or distributive meaning.

Exercise 1, page 128, 6th Grade Literature Textbook
Which words in bold in the following sentences add meaning to the words they follow? What position do they occupy in the phrase and what do they add in terms of meaning?
a) Two men asked what wedding gifts to prepare, the king replied: “One hundred plates of sticky rice, one hundred rolls of rice cakes, and nine ivory tusks, nine spurs, and nine red-maned horses, each in a pair.”...
(Sơn Tinh, Thủy Tinh)
b) It is said that in the sixth generation of the Hung Kings, in the village of Gióng, there was an old couple known for their hard work and renowned for their virtue.
(Thánh Gióng)
Answer
The bold words add meaning to the nouns they follow, indicating quantity or order.
Two: Precedes the noun: men: Indicates quantity of objects
One hundred: Precedes the noun: sticky rice plates; Indicates quantity of objects
One hundred: Precedes the noun: rice cake rolls; Indicates quantity of objects
Nine: Precedes the noun: tusks, spurs, red manes; Indicates quantity of objects
One: Precedes the noun: pair; Indicates quantity of objects
Six: Follows the noun: Hung Kings; Indicates order

Exercise 2, page 128, 6th Grade Literature Textbook

Is the word "pair" in sentence (a) a numeral? Why? (Hint: Consider its position and meaning in the phrase.)
Answer
A pair is a noun phrase. The central part of the phrase includes "pair" as a noun representing a unit, and "one" as a numeral.
=> Therefore, the word "pair" in sentence (a) is not a numeral.

Exercise 3, page 128, 6th Grade Literature Textbook
Find other words with similar meaning and function as the word "pair", for example: dozen.
Answer
Examples of noun phrases with the words dozen, couple, and hundred.
+ A dozen pencils
+ A pair of shoes
+ A dozen eggs

II. Quantifiers
Exercise 1, page 128, 6th Grade Literature Textbook
What is the similarity and difference in meaning between the bold words in the following sentences and numerals?
[…] The princes had to remove their armor and surrender. Thạch Sanh ordered a meal for the defeated warriors. The thousands of generals and soldiers saw that Thạch Sanh had only prepared a small pot of rice, which made them pout, not wanting to eat.
(Thạch Sanh)
Answer
The noun phrases are:
+ the princes
+ the defeated warriors
+ thousands of generals
The bold words in these phrases are quantifiers. They are similar to numerals because they stand before the noun, but differ in that:
+ Numerals indicate the quantity or order of objects;
+ Quantifiers indicate the extent (few or many) of the object.

Exercise 2, page 129, 6th Grade Literature Textbook
Place the bold words into noun phrase models. Find other words with similar meanings and functions.
Answer
Place the noun phrases with quantifiers into noun phrase models:
+ Sentences with quantifiers indicating total meaning: During the Lunar New Year, all students get a one-week break.
+ Sentences with quantifiers indicating collective or distributive meaning: The homeroom teacher advised each student before the summer break.

Practice
Exercise 1, page 129, 6th Grade Literature Textbook
Find the numerals in the following poem. Identify their meanings.
Unable to sleep
One watch... two watches... then three watches (a),
Tossing and turning, unable to dream;
Four watches, five watches just a bit of sleep,
The golden star with five petals circles around my soul.
(Hồ Chí Minh)

Note:
(a) Watch: a traditional unit of time, each watch represents 1/5 of the night.
Answer
+ Numerals indicating quantity: one watch, two watches, three watches, five petals.
+ Numerals indicating order: four watches, five watches.

Exercise 2, page 129, 6th Grade Literature Textbook
How are the bold words used in the following lines of poetry?
I travel across hundreds of mountains and thousands of ravines
But it’s nothing compared to the myriad sorrows in my heart.
(Tố Hữu)
Answer
The words "hundreds", "thousands", and "myriad" are numerals that express a very large quantity.

Exercise 3, page 129, 6th Grade Literature Textbook
What is the difference between the meanings of the words "each" and "every" in the following examples?
a) The god used magic to lift each mountain, to move each range of hills […].
(Sơn Tinh, Thủy Tinh)
b) One day, pursued by the enemy, Lê Lợi and his generals retreated, each taking a different route.
(The Legend of the Sword Lake)
Answer
- The two words have a similar meaning of referring to the separation of objects, individual entities.
- The difference is:
+ Each: refers to the order of things, one after another.
+ Every: emphasizes separation, with no order or sequence.


Exercise 4, page 130, 6th Grade Literature Textbook
Spelling (Listen – Write): Wedding pig, new clothes (the whole story).
Answer
Students should pay attention to difficult words to avoid spelling mistakes:
Wedding pig, new clothes
There was a man who loved to show off his wealth. One day, after receiving a new coat, he went outside, stood waiting for someone to compliment him. He stood there from morning until evening but no one said anything, so he became angry.
While fuming, he saw another man, who also loved to show off, hurriedly ran over and asked loudly:
– Have you seen my wedding pig pass by here?
The other man immediately raised his coat and said:
– Since I put on this new coat, I haven’t seen any pig pass by here at all!
(According to Vietnamese Folk Tales)

Summary
Numerals are words that indicate quantity and order of objects. When expressing quantity, numerals usually come before the noun, and when expressing order, numerals follow the noun. It’s essential to distinguish numerals from nouns representing units that imply quantities.
Quantifiers are words that express how much or how little of something there is. Based on their position in the noun phrase, quantifiers can be divided into groups indicating total meaning or collective/distributive meaning.