Trường THCS Sông Lô
Teaching date:
Chapter I - RATIONAL NUMBERS. REAL NUMBERS
Period 1. PRACTICE THE SET OF RATIONAL NUMBERS Q
I-Objectives:
- Knowlegde: Students understand concept rational numbers, know how to
perform and understand the relationship between the sets N ⊂ Z ⊂ Q.
- Skill: know how to present rational numbers on a number line.
- Attitude: training thinking skills for students.
II- Preparations:
1/ Teacher: Text book, lesson plan, ...
2/ Students: Textbooks, notebooks, reference books...
III- Procedures:
1/ Class organization: - Greeting
- Checking attendance
2/ Warm-up:
Present the following numbers on the number lines:
T: requests 3 Ss go to the board.
T: corrects the results.
3/ Practice:
Teacher’ and Students’ activities

Contents
3. Comparison of two rational numbers:

T:How to compare two rational
numbers ?
-Eg: request Ss reading text book
T: How is the negative,positive
rational numbers ?

1
a) Eg: compare -0,4 vs − 2

b) The way of comparison
Write the rational number into the same
denominator

- T :requests Ss to compare
-1,5 and
4. Consolidation:
- T: requests st do ex 2(7), st do yourself
- T: requests st do ex (7): + Convert to the same denominator
- Ex: Compare the following rational numbers by the fastest way
And represent the numbers on the number lines:

GA: Tự chọn Toán 7

Trang: 1


Trường THCS Sông Lô
5.Homework:
- Do ex: 5; 6; 7 ; 8 (P8-workbook)

−1
1
1
−1
<0
>0⇒

>
1000 5
- Guide : Ex8: a) 5
and 1000
− 181818 − 18
=
31
d) 313131

--------------------------------------------------------Teaching date:
Period 2. PRACTICE ADDITION AND SUBTRACTION
OF RATIONAL NUMBERS
I-Objectives:
- Knowlegde: Students understand the rule of adding and subtracting rational
numbers, and the rule of “ side moving” in the set of rational numbers.
- Skill: add and subtrcact rational numbers quickly and correctly.
- Attitude: have skill applying the rule of “ side moving”.
II- Preparations:
1/ Teacher: Text book, lesson plan, ...
2/ Students: Textbooks, notebooks, reference books...
III- Procedures:
1/ Class organization: - Greeting
- Checking attendance
2/ Warm-up:
St 1: present the rule of adding and subtracting fractions which you
learnt ingrade 6 ( the same denominators).
St 2: present the rule of adding and subtracting fractions which you
learnt ingrade 6 ( different denominators).
St 3: present the rule of “ side moving”.
3/ Practice:

Teacher’ and Students’ activities

−3
Exercise: x= 2,5, y = 4

Contents
1. Adding and Subtracting Rational
Numbers
a) Rule:

Calculate :
2x + 3y; x - 2y
a
b
- T comment:
;y=
m
T: Write rational numbers into fractions x= m
with positive denominators ?

GA: Tự chọn Toán 7

Trang: 2


Trường THCS Sông Lô
T: Apply properties of operations in Z
T: requests 2 Sts go to the board.
T: requests sts to comment
T: requests Sts to do exercise 8d

T: presents the rule of “ side moving”
which Sts learnt in grade 6 ⇒ grade 7.

a b a+b
+ =
m m
m
a b a −b
x− y= − =
m m
m
x+ y=

b)Eg: Calculate


2
3
 7  1
−
− 
−

 + 


3
8
 4  2



2
1
3
 7
= −−
− − 

3
2
8
 4
2
7
1
3
= + + +
3
4
2
8

T : Requests Sts to show how to find x.
2. The Rule of “ Side Moving”
T: requests 2 Sts go to the board doing a) The Rule (Textbook)
9c:
x + y =z
⇒ x=z-y
9c) Find x, given that :
2

3
−x=−
4
Note: 7
2 3
+ =x
7 4

2
6
=−
3
7
6 2
− =x
7 3

−x −

c) Note
(Textbook)
4. Consolidation:
- T requests Sts represent all basic knowledge in the lesson.
- Do exercise 9a, b, d
5. Homework:
- Exercises 6c, 2b; 8c,d; 9c,d;
Guide Ex 10: calculate correctly!

Teaching date:
Period 3. PRACTICE ABSOLUTE VALUE OF RATIONAL NUMBERS.

GA: Tự chọn Toán 7

Trang: 3


Trường THCS Sông Lô
ADDITION, SUBTRACTION, MULTIPLICATION, DIVISION OF DECIMALS
I-Objectives:
- Knowlegde: Confirm the absolute value concept of the rational number.
- Skill: training skill compare rational numbers, compute expression value, find
x.
- Attitude: develop students' thinking in the form of finding the maximum and
minimum value of expression.
II- Preparations:
1/ Teacher: Text book, lesson plan, ...
2/ Students: Textbooks, notebooks, reference books...
III- Procedures:
1/ Class organization: - Greeting
- Checking attendance
2/ Warm-up:
* St 1: - Show the formula calculating the absolute value of the rational number x.
- Do exercise 24a,b-P7, workbook.
* St 2: - Do exercise 27a,c-P8, workbook.
3/ Practice:
Teacher’ and Students’ activities
T: asks St to read request of exercise 1

Contents
Exercise 1: Fill in the blank
a.

b)

c) If x….. 0 then x = x
If x ….. 0 then x = 0
T: asks St to read request of exercise 2

If x …..0 then x = − x

T: If a = 1,5 find a.

Exercise 2: Find x, given that :

T: requests Sts to do in group
Exercise 3 and Exercise 4
T: we can do the same as integers.
GA: Tự chọn Toán 7

b)
Exercise 3

Trang: 4


Trường THCS Sông Lô
a) (-25,13) + (-0,264)
= -(25,13+0,264) = -25,394
b) (-48):(-24)
= 48: 24= 2
Exercise 4:Calculate:
a) -23,116 + 20,263 =

= -(23,116- 20,263) = -2,853

T: requests Sts to discuss in group

b) (-3,7).(-2,16) = +( −3, 7 . −2,16 )
= 3,7.2,16 = 7,992

T: Which numbers whose absolute
values are 20162016 ?
→ How many cases?

T: Which numbers that minus
equals 0?

1
3

T: guiding how to use calculator for
Sts
4. Consolidation:
- Sts repeat rules out brackets, absolute values, additing, subtracting, multiplying,
dividing decimals.
5. Homework:
- Eercises 28 (b,d); 30;31 (a,c); 33; 34 P.8; 9 workbook.
- Review power of numbers.
.
Teaching date:
Period 4. PRACTICE POWER OF A RATIONAL NUMBER
GA: Tự chọn Toán 7


Trang: 5


Trường THCS Sông Lô
I-Objectives:
- Knowlegde: confirm rules : multiplication and division of two powers with the
same base , the power of power, the power of product and the power of
quotient.
- Skill: having skill apply rules to calculate expression values, write in the form
of power, compare powers, find unknown numbers.
- Attitude: training careful and correct personality for Sts, scientific
resentations.
II- Preparations:
1/ Teacher: Text book, lesson plan, ...
2/ Students: Textbooks, notebooks, reference books...
III- Procedures:
1/ Class organization: - Greeting
- Checking attendance
2/ Warm-up:
Fill in the blank:
m n
x .x =

( x m )n =
xm : xn =
( x. y ) n =
n

x
  =

 y
3/ Practice
Teacher’ and Students’ activities
T: requests all Sts to do exercise 1

T: requests all Sts to do exercise 2
T: How shoud we do?
T: asks Sts go to the board

Contents
Exercise 1: Write the following results as
power of rational numbers: a, 420. 810 ;
d, (0,125)3 . 512 ; b, 413 . 526 ; e, 920 :
(0,375)40;
c, 2715 : 910
Exercise 2:
expression:

A=

C=

GA: Tự chọn Toán 7

Trang: 6

Calculate

;B =


the

following

;

;

D=

; E=


Trường THCS Sông Lô
T: requests all Sts to do exercise 3.
; F=
Exercise 3: Calculate:
a) (2-1 +3-1) :(2-1 -3-1)+(2-1.20):23

b)

;

c)

T: corrects the results.

;

T: requests all Sts to do exercise 4, 5,6

T: guides part a

d)

;

e) (xy)-2

Sts discuss in group
T: checks the groups

f)
Exercise 4: Find x ∈ N, given that:
;

a, 2x.4 = 128
;
b,
3
c, (2x – 3) = 343 ; d, (2x – 3)2 = 9;
e, (x – 3)6 = (x – 3)7 ; g, x100 = x

h)
; i)
;
k)
x+2
x+6
(x-1) = (x-1)
Exercise 5: Find x ∈ N, given that:

a) 72+x+2.7x-1 = 345 ; b) 2 x+2x+3=288; c)

81-2x.27x = 95

d)

e)
; f)
Exercise 6: Find m, n ∈ N, given that:
a) 2-1.2n+4.2n=9.25; b) 2m -2n=1984
GA: Tự chọn Toán 7

Trang: 7

;


Trường THCS Sông Lô

c)

e)

; d)2-1.2n+4.2n=9.25;

;

f)

;


g)
4. Consolidation:
x m . x n = x m +n
( x m ) n = x m .n
x m : x n = x m −n
( x. y ) n = x n . y n
n

x
xn
=
 
yn
y

Sts repeat all formulas: =>
+ Note: When the power with negative base, if exponent is an even number ,
we obtain the result is positive number, and conversely.
5. Homework:
- Review above exercises, and rules of power.
- Exercises 47; 48; 52; 57; 59 (P.11; 12- workbook)
- Review the ratio of 2 numbers x and y, define equivalent fractions.
---------------------------------------

GA: Tự chọn Toán 7

Trang: 8



Trường THCS Sông Lô

Date of teaching:

PERIOD 5:
PRACTICE -THE PROPORTION
I. OBJECTIVES.
1. Knowledge: Students have to know definition of proportion,terms of proportion
and properties of proportion.
2. Skill: stusents have skill written a proportion for each of divition, create as many as
possible proportion from the following equalities or the following proportions, know
find x in the following proportions. Forged thinking capacity,calculated.
3. Education: carefully, precisely in learning for students.
II. PREPARATIONS.
- Teacher: Straight ruler, protractor.
- Students: Straight ruler, protractor.
III. PROCESS ORGANIZATION OF TEACHING.
1. Organize. 7 :………….
2. Check your homeworks.
-Student 1: +) Speaking the definition of proportion, terms of proportion?
(Proportion is the equality of two ratios

= .

The proportion = is also writen as a:b =c:d
In the proportion a:b =c:d:
The numbers a,b,c,d are called terms of proportion
The numbers a,d are called the extremes
The numbers b,c are called the means.)
-Student 2: +) Speaking the properties of proportion?

(Properties1: If
then ad=bc
Properties 2: If ad = bc và a,b,c,d # 0 then we have the folowwing proportions:
;
;
*)Conclusion:
Thus, given a,b,c,d # 0, from one of five following equalities, we can deduce the
others:
ad = bc

GA: Tự chọn Toán 7

Trang: 9


Trường THCS Sông Lô

-Comment and give the point.
3- New lesson:
Teacher and student’s activities
Teacher give new words

Contents
I.Vocabulary:
1.Proportion: Tỉ lệ thức
2.Equality : đẳng thức
3.Ratio : Tỉ số
4.Instance: Chẳng hạn
5.Terms of proportion: Số hạng của tỉ lệ thức
6.Extremes: Số hạng ngoài

7.Means: Số hạng trong
8.The fundamental property :T/c cơ bản
9. Multiply: nhân
10. Product: tích
11. Divide: chia
12. Deduce: suy ra
II. Practice:

T: What does exercies 44 ask?

Ex 44(textbook-page 26)
Replace the following ratios of two rational
numbers by the ratios of two natural numbers.

T: How do you do?
S: Divition rational numbers.
T guides S do a)
2S go to the boart do b,c

a. 1,2 : 3,24 =

b.

T: What does exercies 45 ask?

c.
Ex 45(textbook-page 26)
Find the equivalent ratios in the following
divisions,then set up the proportions:


GA: Tự chọn Toán 7

Trang: 10


Trường THCS Sông Lô

T: What does exercies 46 ask?
28:14 = 8:4=>
T: How can we calculate a; b, c, d
from
S :a =

= ?
;b=

3:10 = 2,1:7
;b=

Ex 46(textbook-page 26)

;d=

Find x in the following proportions
T: How many create proportion from a
equility?
S: 4 proportions

a,


x=

= - 1,5

b) - 0,52:x = -9,36:16,38

=> x = 0,91.
T: What does exercies 47ask?
c)
S go to the boart do b

=>

=>x=2,38

Ex 47(textbook-page 26)
a) 6 . 63 = 9 . 42

=>

;

;

b) 0,24 . 1,61 = 0,84 . 0,46

GA: Tự chọn Toán 7

Trang: 11


;


Trường THCS Sông Lô

4. Consolidation:
T: Review knowledge of lession.
5. Guide home:
- Learn definition of proportion,terms of proportion and properties of proportion.
-Exercise 48(page 26 text book).
T guide ex 48: From
We have:

=>

;

;

=>
;...
*********************************************

Date of teaching:

PERIOD 6: PRACTICEPROPERTY OF EQUIVALENT RATIOS SEQUENCE
I. OBJECTIVES.
1. Knowledge: Students have to know property of secquence of equivalent ratios and
remark use secquence of equivalent ratios to express the word problems.
2. Skill: stusents have skill find two numbers and use property of secquence of

equivalent ratios about solve the problems with wording in the fact.Forged thinking
capacity, calculated.
3. Education: carefully, precisely in learning for students.
II. PREPARATIONS.
- Teacher: Straight ruler, protractor.
- Students: Straight ruler, protractor.
III. PROCESS ORGANIZATION OF TEACHING.
1. Organize. 7 :………….
2. Check your homeworks:.
-Student 1: +) Speaking the property of secquence of equivalent ratios?
GA: Tự chọn Toán 7

Trang: 12


Trường THCS Sông Lô

From secquence of equivalent ratios

, we deduce:

=
=...
(Asume that all ratios are meaningful)
-Student 2: +) Speaking the remark?
With the secquence
, we say a,b,c are in the ratios 2:3:5.
We also write: a : b : c =2 : 3 :5
Now,we learn new lesson.
3. New lesson.

Teacher and student’s activities
T: Let’s do ?1.

T guides: from
=

=>
(b

d)

T: What does exercies 54 ask?
T guides S do ex54

Contents
I.Vocabulary:
1.Secquence of equivalent ratios: Dãy tỉ số
bằng nhau
2. Value : Giá trị
3. Consider : Xét
4. Expanded : mở rộng
5. Asume : Giả thiết
6. Proven : chứng minh
7. Applying: Áp dụng
8. Remark : chú ý
9. Area: diện tích
10. Perimeter: chu vi
11. Rectangle : hình chữ nhật
12.Marbles: viên bi
13. Plant trees: trồng cây

14. Total : tổng
II.Practice:
Ex 54(textbook-page 30):
Applying property of secquence of equivalent
ratios, we have:
=

S calculate y?
Hence:
T: What does exercies 55 ask?
S go to the boart do exercies 55
GA: Tự chọn Toán 7

Trang: 13

=2

x=3.2=6

=2

y = 5 . 2 = 10


Trường THCS Sông Lô
Ex 55(textbook-page 30):
From : x : 2 = y : (- 5) =>
Applying property of secquence of equivalent
ratios, we have:
T: What does exercies 56 ask?

=
=
=-1
T: How do you do?
T: How can we calculate the length Hence: x = 2. (- 1) = - 2
y = (- 5) . (- 1) = 5
two sides of rectangle?
Ex 56(textbook-page 30):
T guides S do ex57
Call the length two sides of rectangle are x, y.
We have:
and x + y = 28
Applying property of secquence of equivalent
ratios, we have:
T: What does exercies 57 ask?
T: How do you do?
x = 2. 4 = 8
T: How can we calculate the numbers
y = 5. 4 = 20
of marbles of Minh, Hïng, Dòng?
So, the length two sides of rectangle are 8m;
T guides S do ex57
20m
Ex 57(textbook-page 30):
Call the numbers of marbles of Minh, Hung,
Dung are x, y, z .
We have:
= = and x + y + z = 44
Applying property of secquence of equivalent
ratios, we have:

=

=

=

x = 2. 4 = 8
y = 4. 4 = 16
z = 5. 4 = 20
So the numbers of marbles of Minh, Hung,
Dung are 8; 16; 20 (marbles)
4. Consolidation:
GA: Tự chọn Toán 7

Trang: 14


Trường THCS Sông Lô
- Property of secquence of equivalent ratios?
5. Guide home:
- Learn property of secquence of equivalent ratios and remark use secquence of
equivalent ratios to express the word problems.
-Exercise: 58; (textbook-page 30);
74; 75; 76;78; 79; 80; 81 (workbook - page 21;22)
T guide ex 58: Call the number of trees planted per class 7A,7B are x,y
We have:
and y – x = 20
Applying property of secquence of equivalent ratios, we have:

=> x = 80; y = 100.

***************************
Date of teaching:

PERIOD 7: PRACTICEFINITE DECIMALS.INFINITE REPEATING DECEMALS
I. OBJECTIVES.
1. Knowledge: Students have to know finite decimals. infinite repeating decimals,
know to explaine why the fractions can be written as finite decimals or infinite
repeating decimals.
2. Skill: stusents have skill write the fractions as finite decimals or infinite repeating
decimals.Forged thinking capacity, calculated.
3. Education: carefully, precisely in learning for students.
II. PREPARATIONS.
- Teacher: Straight ruler, protractor.
- Students: Straight ruler, protractor.
III. PROCESS ORGANIZATION OF TEACHING.
1. Organize. 7 :………….
2. Check your homeworks:.
Now,we learn new lesson.
3. New lesson.
Teacher and student’s activities
T given example

GA: Tự chọn Toán 7

Contents
I.Vocabulary:
1. Decimal: Số thập phân
2. Finite decimals :Số thập phân hữu hạn
3. Infinite repeating decimals: Số thập phân vô


Trang: 15


Trường THCS Sông Lô

T: What does exercies 65 ask?
S go to the boart

T: What does exercies 66 ask?
S go to the boart

T: What does exercies 67 ask?
S go to the boart

hạn tuần hoàn.
4. Fraction : phân số
5. Digit: chữ số
6. Symboy : Kí hiệu
7. Repeat : lặp lại
8. Repetend : chu kì
9. Similarly : tương tự
10. Comments: nhận xét
11. Positive denominator: mẫu dương
12. Prime factor : ước nguyên tố
13. Fraction in simplest form: phân số tối giản
14. Rational number : số hữu tỉ
II.Practice:
Ex 65(textbook-page 34):
Explain why the following fractions can be
writen as finite decimals, and then write them

down in that form:
* ; ; and
can be written as finite
decimal, because denominator 8 = 23; 5 = 5 ;
20 =22.5 and 125 = 53 has no prime factor
diferent from 2 and 5.
Ex 66(textbook-page 34):
Explain why the following fractions can be
writen as infinite repeating decimals, and then
write them down in that form:
* ; ; and
can be written as infinite
repeating decimal, because denominator 6=2.3;
11 =11 ; 9 =32; 18 = 2.32 has prime factor
diferent from 2 and 5.
Ex 67(textbook-page 34):
Can be filled 3 prime numbers with one digit in
the box so that A can be written as infinite
repeating decimal
A=
A=

T: What does exercies 85 ask?
GA: Tự chọn Toán 7

Trang: 16


Trường THCS Sông Lô
S go to the boart do b


T: What does exercies 70 ask?
T guides

A=
Ex 85(workbook-page 23):
-The fractions that can be written as a finite
decimal because denominator which has prime
factor diferent from 2 and 5

Ex 70(textbook-page 35):
Write the following finite decimals in the
simplest fraction form:
a, 0,32=
S read ex 88.
Similarly example
S go to the boart

b, - 0,124=
c, 1,28=
d, -3,12=
Ex 88(workbook-page 23):
Let write the number 0,(25) in the fraction, we
do: 0,(25) = 0,(01) .25 =
( because 0,(01) =

)

+) 0,(34)=0,(01).34=
+)0,(5)=0,(1).5=

+)0,(123)=0,(001).123=
4. Consolidation:
- Why the fractions can be written as finite decimals or infinite repeating decimals?
GA: Tự chọn Toán 7

Trang: 17


Trường THCS Sông Lô
5. Guide home:
- Learn finite decimals. infinite repeating decimals, know to explaine why the
fractions can be written as finite decimals or infinite repeating decimals.
-Exercise: 68,69,71,72 (textbook-page 34-35);
-T guides S do ex 71 (page 35)
= 0,0101... = 0,(01);
= 0,001001... = 0,(001)
----------------------------------------------

GA: Tự chọn Toán 7

Trang: 18