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7TH GRADE
FRACCIONES
DECIMALES
INTEGRANTES
Conceptos
01
Fracciones
decimales
02
Exercises
03
FRACCIONES
CONCEPTOS
01
Las fracciones son las formas en las
que pueden clasificarse la división de
un número en partes iguales.
Fracción
1
2
Por ejemplo: dividir un pastel en 8 partes iguales,
cuando tomas una, estás tomando una fracción
de ese pastel.
You can give a brief description of the topic you
want to talk about here. For example, if you want to
talk about Mercury, you can say that it’s the smallest
planet in the entire Solar System
INTRODUCTION
El numerador de un
fraccionario se lee
con los números
cardinales.
El denominador se lee con los
números partitivos.
2 = medios
3 = tercios
4 = cuartos
5 = quintos
6 = sextos
7 = séptimos
8 = octavos
9 = novenos
10 = décimos
A partir del 11, el número se lee
como un número cardinal,
terminado en “avos''.
11 = onceavos
12 = doceavos
Y así sucesivamente.
Follow the link in the graph to modify its data and
then paste the new one here. For more info, click here
Despite being red,
Mars is actually cold
Neptune is far away
from Earth
Subtracting
Dividing
Adding
Mercury is the
smallest planet
Multiplying
Jupiter is the biggest
planet of them all
20% 20%
35% 25%
EFFECTIVENESS OF EACH METHOD
EQUALITY INEQUALITY
Venus has a beautiful name
and is the second planet from
the Sun. It’s hot and has a
poisonous atmosphere
Mercury is the closest planet
to the Sun and the smallest
one of them all—it’s only a bit
larger than the Moon
EQUALITY AND INEQUALITY
Earth
Earth is where
we all live
Jupiter
Jupiter is the
biggest planet
Saturn
Saturn has
several rings
Mercury
Mercury is the
smallest planet
Ceres
It’s in the main
asteroid belt
INEQUALITIES ON A NUMBER LINE
Mercury
It’s the closest planet to
the Sun and the smallest
one in the Solar System
Venus
Venus has a beautiful
name and is the second
planet from the Sun
Mars
Despite being red, Mars
is actually a cold place.
It’s full of iron oxide dust
WORK WITH A PARTNER
Mercury is the closest planet from
the Sun and the smallest one
Adding
Venus has a beautiful name and is
the second planet from the Sun
Subtracting
Despite being red, Mars is a cold
place full of iron oxide dust
Multiplying Dividing
Jupiter is a gas giant and the
biggest planet in the Solar System
METHODS TO SOLVE INEQUALITIES
If we consider the true inequality
4 < 8
6 < 10
2 < 6
8 < 16
2 < 4
Adding 2 to both sides The inequality sign holds true
Subtracting 2 from both
sides
Multiplying both sides by +2
The inequality sign holds true
The inequality sign holds true
Dividing both sides by +2 The inequality sign holds true
COMPARING THE DIFFERENT METHODS
Despite being red,
Mars is actually cold
Neptune is the
farthest planet from
the Sun
Mars
Neptune
Mercury
Mercury is the closest
planet to the Sun
Venus
Venus is the second
planet from the Sun
Jupiter
Jupiter is the biggest
planet of them all
Saturn
Saturn is composed of
hydrogen and helium
01 02 03
04 05 06
SOME TIPS FOR SOLVING INEQUALITIES
AWESOME
WORDS
“This is a quote, words full of wisdom that
someone important said and can make the
reader get inspired.”
—SOMEONE FAMOUS
A PICTURE IS WORTH A THOUSAND WORDS
Images reveal large amounts of data, so
remember: use an image instead of a long
text. Your audience will appreciate it
A PICTURE ALWAYS
REINFORCES
THE CONCEPT
INEQUALITIES
You can enter a subtitle here if you need it
02
Big numbers catch your audience’s attention
150,000
Here you have an inequality!
3x + 2 > 5 -7
Here you have an inequality!
7x+5/3x-5<5
Here you have an inequality!
2x < x − 3x + 8
Venus
Venus has a beautiful
name and is the second
planet from the Sun
Mars
Despite being red, Mars
is actually a cold place.
It’s full of iron oxide dust
Mercury
It’s the closest planet to
the Sun and the smallest
one in the Solar System
25% 45% 70%
LET’S USE SOME PERCENTAGES
Read the
problem
Despite being red,
Mars is a cold place
Highlight
main points
Jupiter is the biggest
planet of all them
Identify the
variables
Venus is the second
planet from the Sun
Solve the
inequality
Saturn is a gas giant
and has several rings
Justify your
answer
Earth is the planet
where we all live
01 02 03 04 05
STEPS FOR SOLVING INEQUALITIES
You can replace the image on the screen
with your own work. Just right-click on
it and select “Replace image”
DESKTOP MOCKUP
You can replace the image on the screen
with your own work. Just right-click on
it and select “Replace image”
TABLET APP
You can replace the image on the
screen with your own work. Just right-
click on it and select “Replace image”
SMARTPHONE
Jenna Doe
You can speak a bit
about this person here
Timmy Jimmy
You can speak a bit
about this person here
OUR TEACHERS
Despite being red,
Mars is actually cold
Mars
Mercury is the closest
planet to the Sun
Mercury
Jupiter is the biggest
planet of them all
Jupiter
THIS IS A MAP
EXERCISES
You can enter a subtitle here if you need it
03
Circle the possible values that satisfy each inequality
x < 8
2 - 9 - 13 - 11
3 < x
5 - 6 - 8 - 1
x > 9
4 - 12 - 3 - 11
x > 2
8 - 13 - 3 - 1
x < 15
14 - 9 - 7 - 17
x < 4
1 - 3 - 6 - 9
CIRCLE THE NUMBERS
Put the correct symbol >, < or = in the correct place.
14
01 10
? 7
02 12
?
11
03 11
? 14
04 10 - 5
?
10
05 10 + 2
? 6 x 2
06 10 + 2
?
20 - 15
07 13 + 3
? 3 x 7
08 30 - 9
?
INEQUALITIES SHEET
-3x + 5 > -16
-3x > -21
x > 7
-5 -5
/-3 /-3
Equation
Adding method
Solve one-step equation
Dividing
Solution
EXAMPLE OF AN INEQUALITY PROBLEM
Solve each exercise, then add equality (=) or inequality(≠) symbol
5 - 4 ? 7 - 3 18 - 9 ? 12 - 3 6 + 6 ? 13 - 3
13 - 8 ? 10 - 2 3 - 4 ? 7 - 8 18 - 2 ? 13 + 5
10 + 6 ? 25 - 9 4 - 4 ? 6 - 10 16 - 8 ? 5 + 3
3 x 1 ? 4 - 3 2 x 3 ? 6 - 0 8 - 3 ? 2 x 3
10 - 2 ? 3 x 3 - 1 10 - 7 ? 9 - 3 + 1 5 ? 3 x 3 + 2 - 6
EQUALITY OR INEQUALITY
Problem Solution
5x < 2x + 6 _?
14 + 3x < x - 6 _?
5x + 11 > 8x - 7 _?
3 - 2(x + 4) < 5 - x _?
3(x - 1) < 2(4 - x) _?
Problem Solution
5 (x - 2) + x > 2(x +
1)
_?
2(x - 3) + x > 12 _?
2 (4x - 1) < 34 + 2 _?
3 - 2(x + 4) < 5 - x _?
16 < 4x < 24 - 10 _?
SOME INEQUALITIES PROBLEMS
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Math Subject for Middle School - 7th Grade_ Inequalities by Slidesgo.pptx

  • 1. Here is where your presentation begins 7TH GRADE FRACCIONES DECIMALES
  • 5. Las fracciones son las formas en las que pueden clasificarse la división de un número en partes iguales. Fracción 1 2 Por ejemplo: dividir un pastel en 8 partes iguales, cuando tomas una, estás tomando una fracción de ese pastel.
  • 6. You can give a brief description of the topic you want to talk about here. For example, if you want to talk about Mercury, you can say that it’s the smallest planet in the entire Solar System INTRODUCTION
  • 7. El numerador de un fraccionario se lee con los números cardinales. El denominador se lee con los números partitivos. 2 = medios 3 = tercios 4 = cuartos 5 = quintos 6 = sextos 7 = séptimos 8 = octavos 9 = novenos 10 = décimos A partir del 11, el número se lee como un número cardinal, terminado en “avos''. 11 = onceavos 12 = doceavos Y así sucesivamente.
  • 8. Follow the link in the graph to modify its data and then paste the new one here. For more info, click here Despite being red, Mars is actually cold Neptune is far away from Earth Subtracting Dividing Adding Mercury is the smallest planet Multiplying Jupiter is the biggest planet of them all 20% 20% 35% 25% EFFECTIVENESS OF EACH METHOD
  • 9. EQUALITY INEQUALITY Venus has a beautiful name and is the second planet from the Sun. It’s hot and has a poisonous atmosphere Mercury is the closest planet to the Sun and the smallest one of them all—it’s only a bit larger than the Moon EQUALITY AND INEQUALITY
  • 10. Earth Earth is where we all live Jupiter Jupiter is the biggest planet Saturn Saturn has several rings Mercury Mercury is the smallest planet Ceres It’s in the main asteroid belt INEQUALITIES ON A NUMBER LINE
  • 11. Mercury It’s the closest planet to the Sun and the smallest one in the Solar System Venus Venus has a beautiful name and is the second planet from the Sun Mars Despite being red, Mars is actually a cold place. It’s full of iron oxide dust WORK WITH A PARTNER
  • 12. Mercury is the closest planet from the Sun and the smallest one Adding Venus has a beautiful name and is the second planet from the Sun Subtracting Despite being red, Mars is a cold place full of iron oxide dust Multiplying Dividing Jupiter is a gas giant and the biggest planet in the Solar System METHODS TO SOLVE INEQUALITIES
  • 13. If we consider the true inequality 4 < 8 6 < 10 2 < 6 8 < 16 2 < 4 Adding 2 to both sides The inequality sign holds true Subtracting 2 from both sides Multiplying both sides by +2 The inequality sign holds true The inequality sign holds true Dividing both sides by +2 The inequality sign holds true COMPARING THE DIFFERENT METHODS
  • 14. Despite being red, Mars is actually cold Neptune is the farthest planet from the Sun Mars Neptune Mercury Mercury is the closest planet to the Sun Venus Venus is the second planet from the Sun Jupiter Jupiter is the biggest planet of them all Saturn Saturn is composed of hydrogen and helium 01 02 03 04 05 06 SOME TIPS FOR SOLVING INEQUALITIES
  • 16. “This is a quote, words full of wisdom that someone important said and can make the reader get inspired.” —SOMEONE FAMOUS
  • 17. A PICTURE IS WORTH A THOUSAND WORDS
  • 18. Images reveal large amounts of data, so remember: use an image instead of a long text. Your audience will appreciate it A PICTURE ALWAYS REINFORCES THE CONCEPT
  • 19. INEQUALITIES You can enter a subtitle here if you need it 02
  • 20. Big numbers catch your audience’s attention 150,000
  • 21. Here you have an inequality! 3x + 2 > 5 -7 Here you have an inequality! 7x+5/3x-5<5 Here you have an inequality! 2x < x − 3x + 8
  • 22. Venus Venus has a beautiful name and is the second planet from the Sun Mars Despite being red, Mars is actually a cold place. It’s full of iron oxide dust Mercury It’s the closest planet to the Sun and the smallest one in the Solar System 25% 45% 70% LET’S USE SOME PERCENTAGES
  • 23. Read the problem Despite being red, Mars is a cold place Highlight main points Jupiter is the biggest planet of all them Identify the variables Venus is the second planet from the Sun Solve the inequality Saturn is a gas giant and has several rings Justify your answer Earth is the planet where we all live 01 02 03 04 05 STEPS FOR SOLVING INEQUALITIES
  • 24. You can replace the image on the screen with your own work. Just right-click on it and select “Replace image” DESKTOP MOCKUP
  • 25. You can replace the image on the screen with your own work. Just right-click on it and select “Replace image” TABLET APP
  • 26. You can replace the image on the screen with your own work. Just right- click on it and select “Replace image” SMARTPHONE
  • 27. Jenna Doe You can speak a bit about this person here Timmy Jimmy You can speak a bit about this person here OUR TEACHERS
  • 28. Despite being red, Mars is actually cold Mars Mercury is the closest planet to the Sun Mercury Jupiter is the biggest planet of them all Jupiter THIS IS A MAP
  • 29. EXERCISES You can enter a subtitle here if you need it 03
  • 30. Circle the possible values that satisfy each inequality x < 8 2 - 9 - 13 - 11 3 < x 5 - 6 - 8 - 1 x > 9 4 - 12 - 3 - 11 x > 2 8 - 13 - 3 - 1 x < 15 14 - 9 - 7 - 17 x < 4 1 - 3 - 6 - 9 CIRCLE THE NUMBERS
  • 31. Put the correct symbol >, < or = in the correct place. 14 01 10 ? 7 02 12 ? 11 03 11 ? 14 04 10 - 5 ? 10 05 10 + 2 ? 6 x 2 06 10 + 2 ? 20 - 15 07 13 + 3 ? 3 x 7 08 30 - 9 ? INEQUALITIES SHEET
  • 32. -3x + 5 > -16 -3x > -21 x > 7 -5 -5 /-3 /-3 Equation Adding method Solve one-step equation Dividing Solution EXAMPLE OF AN INEQUALITY PROBLEM
  • 33. Solve each exercise, then add equality (=) or inequality(≠) symbol 5 - 4 ? 7 - 3 18 - 9 ? 12 - 3 6 + 6 ? 13 - 3 13 - 8 ? 10 - 2 3 - 4 ? 7 - 8 18 - 2 ? 13 + 5 10 + 6 ? 25 - 9 4 - 4 ? 6 - 10 16 - 8 ? 5 + 3 3 x 1 ? 4 - 3 2 x 3 ? 6 - 0 8 - 3 ? 2 x 3 10 - 2 ? 3 x 3 - 1 10 - 7 ? 9 - 3 + 1 5 ? 3 x 3 + 2 - 6 EQUALITY OR INEQUALITY
  • 34. Problem Solution 5x < 2x + 6 _? 14 + 3x < x - 6 _? 5x + 11 > 8x - 7 _? 3 - 2(x + 4) < 5 - x _? 3(x - 1) < 2(4 - x) _? Problem Solution 5 (x - 2) + x > 2(x + 1) _? 2(x - 3) + x > 12 _? 2 (4x - 1) < 34 + 2 _? 3 - 2(x + 4) < 5 - x _? 16 < 4x < 24 - 10 _? SOME INEQUALITIES PROBLEMS
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