math-subject-for-middle-school-introduction-to-algebraic-expressions-and-equations.pptx

Math Subject for Middle
School: Introduction
to Algebraic
Expressions and
Equations

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You can describe the
topic of the section here
Table of contents
What is algebra?
Exponents
Expressions
Radicals
Linear equations
Practice

Mercury is the closest planet to the Sun
and the smallest one in the entire Solar
System. This planet’s name has nothing to
do with the liquid metal, since Mercury
was named after the Roman messenger
god. Despite being closer to the Sun than
Venus, its temperatures aren't as terribly
hot as those of Venus
Many of Mercury’s craters were named
after artists or authors who made
significant contributions to their respective
fields. Mercury takes a little more than 58
days to complete its rotation, so try to
imagine how long days must be there!
Mercury has been deemed to be non-
habitable for us
Exploring expressions and equations

Cracking the code: a
beginners guide
Do you know what helps you make your point clear?
Lists like this one:
● They’re simple
● You can organize your ideas clearly
● You’ll never forget to buy milk!
And the most important thing: the audience won’t
miss the point of your presentation

Saturn is a gas giant and
has several rings. It’s
composed of hydrogen
and helium
Neptune is the fourth-
largest planet by diameter
in the Solar System
Understanding expressions and
equations
Equations Expressions

Mercury is the smallest
planet in the Solar
System. Its name has
nothing to do with the
liquid metal
Venus has a beautiful
name and is the second
planet from the Sun. It has
a poisonous atmosphere
Earth is the third planet
from the Sun and the only
one that harbors life in the
Solar System
From numbers to symbols
Language Expressions Equations

Unraveling expressions and equations
Venus has a beautiful name and
is the second planet from the Sun
Earth is the only planet that
harbors life in the Solar System
Despite being red, Mars is
actually a cold place. It's full of
iron oxide dust
Jupiter is a gas giant and the
biggest planet in the Solar
System
Variable X
Variable Z
Variable Y
Variable A

planet of them all
Venus has a beautiful
name and high
temperatures
actually a cold place
Jupiter is the biggest
planet in the Solar System
Earth is the only planet
known to harbor life
Saturn is a gas giant and
has several rings
Factoring and solving expressions
Tip #01 Tip #02 Tip #03
Tip #06
Tip #04 Tip #05

“This is a quote, words full of
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important said and can
make the reader get inspired”

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Big numbers catch your audience’s
attention

Distance between Earth and the Moon
The Sun’s mass compared to Earth’s
9h 55m 23s
Jupiter’s rotation period

Jupiter is a gas giant and the
biggest planet in the Solar System
Saturn is the second-largest
16% 84%
Finding the percentage of a number
Jupiter Saturn

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Algebra worldwide
Economics
Pluto is classified as
a dwarf planet
Science
The Sun is the
closest star to our
planet
Engineering
The Moon is Earth’s
only natural satellite

Milestones in algebra development
Babylonia
Mercury is the
closest planet
to the Sun
1800 BC
Egypt
Venus is the
second planet
from the Sun
1650 BC
Greeks
Earth is the
only planet that
harbors life
500 BC
Islamic
Despite being
red, Mars is a
very cold planet
VIII-XIV
Renaissanc
e
Jupiter is the
biggest planet
in the Solar
System
XIV-XVII
Descartes
Saturn is a gas
giant and has
several rings
XVIII
Gauss
Neptune is the
farthest planet
from the Sun
XIX
Abstract
Uranus is the
seventh planet
from the Sun
XX
Computer
Pluto is now
classified as a
dwarf planet
Today

Unlocking mathematical solutions
The power of algebra
Jupiter is the biggest planet in the Solar System
About key
concepts
Saturn is a gas
giant and has rings
Algebraic
formulas
Ceres is located in
the main asteroid
belt
Real-world
applications
The Moon is Earth’s
only natural satellite
Tips and
tricks
Pluto is classified
as a dwarf planet
Example A here
Example B here
Example A here
Example B here
Example A here
Example B here
Example A here
Example B here

Summing up your findings
Topic Description Key concepts
What is algebra?
Algebra as a problem solving
tool and importance in fields
Variables and constants
Venus has a beautiful name
and is the second planet from
Sun
Identifying variables and
constants and their role
Expressions and equations
Earth is the third planet from
the Sun and has life
Understanding expressions
and equations with
evaluations
Operations in algebra
actually a cold place
Performing operations on
algebraic expressions

How did the students perform?
Test C
Mars is actually a very
cold planet
47%
Test D
Saturn is a gas giant
and has several rings
26%
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Test A
Mercury is the closest
planet to the Sun
18%
Test B
Venus has extremely
high temperatures
09%

Our team
You can speak a bit about
this person here
this person here
this person here
Wilson Lucas
Farole
Abigail
Anderson Alexander Wright

Activities
Mercury is the closest planet to the Sun and the smallest in the
Solar System. Its name has nothing to do with the liquid metal,
since Mercury was named after the Roman messenger god

Let’s simplify expressions!
3x + 2(x - 4) - 5(2x + 1)
Instructions: Simplify the following algebraic expressions. The first column contains an
example!
3x + (2*x) - (2*4) - (5*2x) -
(5*1)
Distributing coefficients:
(3x + 2x -10x) + (-8 - 5)
Combine like terms:
3x + 2x - 8 - 10x - 5
Simplify each term:
Answer: -5x -13
4(2x - 3) + 2(3x + 5) - 6x
Answer here
Answer here
Combine like terms:
Answer here
Simplify each term:
Answer here
2(x + 4) - 3(x - 1) = 7 - 2x
Answer here
Answer here
Combine like terms:
Answer here
Simplify each term:
Answer here

Solving equations
Instructions: Solve for the variable. Answers should be expressed as “x = ____”
x + 12 = 14
1)
Answer here
2x2 - 4x = 6
3)
Answer here
11 + x = 15
2)
Answer here
6x2 + 24x= x
4)
Answer here
x + 2 = 10
6)
Answer here
3x2 + 24x = 14
5)
Answer here
-6(3 - x) x 9 - 2x
7)
Answer here
2 + x = 7 + 6x
9)
Answer here
-2x - 3 = 2(8x + 11)
8)
Answer here

Generate expressions sheet
Instructions: Fill the blanks. Here’s an example: “c and five more units” is “c+5” and “3 lots of
g” is “3g”
Add 2 to a =
Subtract 1 from b =
Add 1 to d =
Subtract 3 from e =
Half of f =
Multiply g by 4 =
Multiply h by 3 =
Divide i by 3 =
Add 4 to j =
Double k and add 1 =
Double l and subtract 2 =
Halve m and add 3 =
Halve n and subtract 1 =
3 lots of a and add 4 =

Answer here
Solving equations
Instructions: Solve each linear equation
8(4a - 4) - 1 = 14 - 8a
1)
Answer here
27 = 46 + 3x - x
3)
Answer here
4(-8x + 5) = -30x - 26
2)
Answer here
0.05z + 0.2 = 0.15z - 10.5
4)

Writing algebraic expressions
Instructions: Write an expression using a variable to represent each situation
Eleven decreased by k
1) Answer here Explain your answer
y diminished by 9
8 divided by e
f minus twelve
16 multiplied by a number h
p increased by 9

The last worksheet!
Instructions: Solve to find the unknown variable
-9/5x = -45
1) Answer
here
4 = -(2x + 4)
5) Answer
here
(2x - 1)/3 - (3x)/4 =
5/6
4) Answer
here
-(x + 2) = 2(3x - 4)
3) Answer
here
(4x + 5)/6 = 7/2
2) Answer
here
x/3 - x/5 = 2
6) Answer
here
(7/8)y - 6 = 8
10) Answer
here
-5x + 3 = 2x + 8
9) Answer
here
3 = 4(x-2) + 5 -3x
8) Answer
here
8 = 2(2x - 5) +6x
7) Answer
here

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