mathematics

2. Thành viên nhóm
1. Ngô Đức Anh
2. Tạ Thùy Linh
3. Hoàng Nam Phương
4. Trần Thế Đại Phát
5. Huỳnh Ngọc Khoa

3. 𝑥 = 𝑥 𝑡
𝑦 = 𝑦 𝑡

4. Kiến thức cơ bản về đường cong tham số
1. x, y liên hệ thông qua 1 biến trung gian (tham số).
2. Thể hiện được chiều đường đi khi t thay đổi.
3. Xử lý được các tương quan không thỏa mãn điều kiện tạo
thành hàm số.
4. Khảo sát được mối liên hệ của x, y dựa trên khảo sát hàm
1 biến x(t) và y(t).
5. Điều kiện xác định của đường cong là điều kiện xác định
chung của x(t) và y(t).

5. You can give here a brief
description of the topic you want
to talk about. For example, if you
want to talk about Mercury, you
can say that it’s the smallest
planet in the entire Solar System
Introduction

6. —Someone Famous
“This is a quote, words full of wisdom
that someone important said and can
make the reader get inspired.”

7. Properties
You can describe the
topic of the section here
Table of contents
1. Expressions
2.
You can describe the
topic of the section here
Equations
3.
You can describe the
topic of the section here
Inequalities
4.
You can describe the
topic of the section here

8. Distributive
Despite being red,
Mars is a cold place
Associative
Venus is the second
planet from the Sun
Commutative
Jupiter is the biggest
planet of them all
Identity
Saturn is a gas giant
and has several rings
Definition of concepts

9. Arithmetic Only numbers and
mathematical operators
Fractional Fractional numbers and
mathematical operators
Algebraic Variables, numbers, and
mathematical operators
Types of expressions

10. 5y+3
This is an expression
5y+3=6
This is an equation
Expression vs. equation

11. Neptune is the
farthest planet
from the Sun
Division
Parentheses
Mercury is the
smallest planet
of them all
Exponents
Despite being
red, Mars is a
cold place
Addition
Venus is the
second planet
from the Sun
Multiplication
Saturn is a gas
giant and has
several rings
Subtraction
Jupiter is the
biggest planet
of them all
Order of operations

12. You can replace the
image on the screen with
your own work. Just
right-click on it and
select “Replace image”
Watch this example

13. Parts of an equation
Variable
Mercury is the closest
planet to the Sun
Operator
Saturn is a gas giant
with several rings
Constants
Despite being red, Mars
is a cold place

14. Topic and details
5xy + 3y + 7
5xy 3y 7
5 x y 3 y
Algebraic expression
Terms
Factors

15. Topic and details
Algebraic expressions
Like terms Unlike terms
2xy + 5xy
2xy 5xy
2 x y 5 x y
-7x + 4y
-7x 4y
-7 x 4 y

16. 2x2 + 5xy + 4yz
Diagram
Algebraic
expressions
Monomial
Binomial
Trinomial
2x2 + 5xy
2x2

17. 4x + 16 = 25 - 3x
Problem
Solution
Neptune is the fourth-
largest planet in the Solar
System
Despite being red, Mars
is actually a cold place.
It's full of iron oxide dust
Problem vs solution
4x + 16 = 25 - 3x
4x + 3x = 25 - 16
7x = 9
x = 9/7

18. Process
Step 1
Mercury is quite a
small planet
Step 2
Mars is actually a
very cold place
Step 3
Venus has a
beautiful name
Step 4
Neptune is far
away from Earth
1.
2.
3.
4.

19. Exercise 1
6 + 42 ÷ 2 - 15
1.
36 - 10 x 2 ÷ 5 - 11
2.
25 x 2 - 42 ÷ 6 + 18
3.
3 + 32 ÷ 8 - 9
4.
Solve these exercises:

20. Exercise 2
1.
x - 4
x + 3
x - 2
x
x - 1
a + 12
a + 8
a
2.
Find the perimeter of each of the following figures:

21. Exercise 3
4 + 7 x 3 - 1
10 + 4 ÷ 2
14 + 24 ÷ 6 + 2
8 x 2 - 3 + 7
11 + 4 x 2 + 5
25 ÷ 5 - 3 x 3
Match the equal quantities:

22. Exercise 4
Find the perimeter (P) and area (A) of the following figures. Explain in
words how you found the perimeter
Write your
explanation here
1.
Write your
explanation here
2.
18
3.5
24
18
27
30
P:
A:
P:
A:

23. Vocabulary development
Vocabulary
word
Important characteristics Wrong characteristics
Example Not an example
Jupiter is a gas giant and
the biggest planet in the
Solar System
Saturn is a gas giant and
has several rings. It's
composed of hydrogen and
helium
Neptune is the farthest
planet from the Sun. It's also
the fourth-largest
Venus has a beautiful name
and is the second planet
from the Sun

24. Note-taking and study skills
Questions 1. Is Mars actually
a cold place?
2. Is Mercury the
smallest planet?
3. Is Jupiter the
biggest planet?
Summary
Venus has a beautiful
name and is the second
planet from the Sun. It’s
terribly hot, even hotter
than Mercury, and is
extremely poisonous
Notes
● Earth is the third planet from the Sun
● Mars is actually a cold place
● Saturn is a gas giant and has rings
● Pluto is now considered a dwarf planet
● The Moon is Earth’s only natural satellite

25. Reading comprehension
Questions
Does Venus have a
beautiful name and
also very high
temperatures?
Vocabulary
Mercury is the closest
planet to the Sun and
the smallest one in
the Solar System
Answers
Despite being red,
Mars is actually a cold
place. It's full of iron
oxide dust
Survey
Make predictions about
what you’re going to learn
Mars
Mercury
Saturn
Venus

26. Reading comprehension
Preview Mercury is the smallest planet
Predict Venus has a very high temperatures
Set a purpose Earth is the only planet with life
Visualize Jupiter is the biggest planet of them all
Connect Saturn is the only planet with rings
Monitor Neptune is very far away from Sum
Use your knowledge The Moon is Earth’s only natural satellite
Make inferences The Sun is the closest star to Earth

27. Cause and effects
Cause
Pluto is now
considered a
dwarf planet
Effect 1
Mercury is the closest
planet to the Sun
Effect 2
Mars is actually a
very cold place
Effect 3
Saturn is composed
of hydrogen and
helium
Effect 4
Venus is the second
planet from the Sun
Effect 5
Jupiter is the biggest
planet of them all
Effect 6
Neptune is very far
away from Earth

28. Question
Answer
Is Mercury the closest planet
to the Sun and the smallest
one in the Solar System?
Venus has a beautiful name
and is the second planet from
the Sun. It’s terribly hot
Question and answer
5x + 15 = 65
5x + 15 = 65
5x/5 + 15/5 = 65/5
X + 3 = 13
X+ 3 - 3 = 13 - 3
X = 10

29. Timeline
Venus
Venus has a
beautiful name,
but also high
temperatures
1. 2. 3. 4.
Mars
Despite being
red, Mars is
actually a very
cold place
Jupiter
Jupiter is a gas
giant and the
biggest planet
in the Solar
System
Earth
Earth is the third
planet from the
Sun and the one
that harbors life

30. 8(x−7)−3(x+2)
Simplify this exercise:

31. You can solve
the exercises!

32. “X” & “Y”

33. This is an
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