Matemática -1 Ano do Ensino Médio

1. MATEMÁTICA
PET1 - 1º ANO
Professora Fabiola Silva

2. • Notação Científica;
• Expressões Algébricas;
• Fatoração e produto notáveis;
• Resolução de equações polinomiais do 2º
grau por meio de fatoração.

3. Notação Científica
É a forma simplificada de representar números reais muito
grandes ou muito pequenos por meio de uma potência cuja base
é 10. A forma que as notações científicas assumem são,
portanto:
 A utilização de um único algarismo significativo antes da
vírgula;
 O produto do valor reduzido e a potência de base 10;
 O valor do expoente é referente ao número de casas
reduzidas ou aumentadas.
Exemplos:

4. Muitas vezes temos dúvidas com relação ao sinal do
expoente.
0,0000057 = 5,7 x 10-6
860000000000 = 8,6 x 1011

5. Expressões Algébricas
Uma expressão matemática que apresenta números e letras, ou
somente letras, é denominada expressão algébrica.
3x2-2x+10
4ab-3a4
TERMO COEFICIENTE PARTE LITERAL VARIÁVEIS
TERMO COEFICIENTE PARTE LITERAL VARIÁVEIS

6. Valor numérico de uma expressão algébrica
3x2-2x+10 para x = 3
4ab-3a4 para a = -1 e b= 5

7. • Teorema de Pitágoras;
• Teorema de Tales.

8. Em todo triângulo retângulo, o quadrado da medida da hipotenusa
é igual a soma dos quadrados das medidas dos catetos.
Teorema de Pitágoras

9. Exemplo:
O portão de entrada de uma casa te 4
metros de comprimento por 3 metros de
altura. Qual a medida da trave de madeira
que se estende do ponto A ao ponto C,
conforme indicação da figura?
𝑥2
= 22
+ 42
𝑥2
= 9 + 16
𝑥2
= 25
𝑥 = ± 25
𝑥 = ±5
𝑥 = 5 metros.
Resposta

10. You Could Use
Three Columns,
Why Not?
Jupiter
Saturn
Mars
Mars is a cold place. It’s
full of iron oxide dust,
which gives the planet its
reddish cast
It’s the biggest planet in
the Solar System and the
fourth-brightest object in
the sky
Yes, this is the ringed
one. It’s a gas giant,
composed mostly of
hydrogen and helium

11. A Picture Always
Reinforces the
Concept
Images reveal large
amounts of data, so
remember: use an
image instead of long
texts

12. A PICTURE IS
WORTH A
THOUSAND
WORDS

13. AWESOME
WORDS

14. This Is a Graph
Did you know that
this graph is
editable?
Then copy the
new graph and
paste it here
Click on it, follow
the link and
change the data
Don’t forget to
delete the old
graph afterward
Mars Saturn
Mercury Venus
38%
24%
36%
12%

15. You Could Use Four
Columns
Mercury is the closest
planet to the Sun
Venus has a beautiful
name, but it’s hot
Despite being red, Mars
is a cold place
Saturn is the ringed one
and a gas giant
Mars Saturn
Mercury Venus

16. How About the Percentages?
Despite being
red, Mars is a
cold place
15%
Venus has a
beautiful name,
but it’s hot
45%
Mercury is the
closest planet to
the Sun
30%
Saturn is the
ringed one and a
gas giant
22%

17. This Is a Graph
Venus has a
beautiful name,
but it’s hot
Saturn is the
ringed one and a
gas giant
Saturn
Venus
To modify this graph, click on it, follow the link,
change the data and paste the new graph here
Despite being
red, Mars is a
cold place
Mars

18. Reviewing Concepts Is Usually a Good Idea
Mercury is the closest
planet to the Sun
Despite being red, Mars
is a cold place
It’s the biggest planet in
the Solar System
Neptune is the farthest
planet from the Sun
Venus has a beautiful
name, but it’s hot
Saturn is the ringed one
and a gas giant
Jupiter Neptune
Mercury Mars
Saturn
Venus

19. Infographics Make Your Idea
Understandable…
2018
2016
2017
2019
Mercury
Venus
Saturn
Jupiter
A

20. … And Tables Do the Same!
Mass
(Earths)
Diameter
(Earths)
Surface Gravity
(Earths)
Mercury 0.06 0.38 0.38
Mars 0.11 0.53 0.38
Saturn 95.2 9.4 1.16

21. Venus has a
beautiful name, but
it’s terribly hot
Venus
This Is a Map

22. A Timeline Always Works Well
Mercury is the
closest planet to
the Sun
Despite being red,
Mars is a cold
place
Jupiter is the
biggest planet of
them all
Venus has a
beautiful name,
but it’s hot
Saturn is the
ringed one and a
gas giant
2018
2016
2017 2019
2020

23. Big numbers catch your audience’s
attention
4,498,300,000

24. 333,000.00
24h 37m 23s 386,000 km
earths is the Sun’s mass
is Jupiter’s rotation period is the distance between Earth
and the Moon

25. 03 02
Reinforce the Concept Using Infographics!
Venus is
terribly hot
VENUS
Mars is a
cold place
MARS
Jupiter is the
biggest planet
JUPITER
Earth
harbors life
EARTH
04 01

26. Our Services
$60
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$85
You can explain
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Characteristic
Characteristic
Pro Premium
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$35
You can explain
your product or
your service
Characteristic
Characteristic

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image on the screen
with your own work.
Just delete this one,
add yours and center it
properly
Desktop
Software

28. You can replace the
image on the screen
with your own work.
Just delete this one,
add yours and center it
properly
Mobile
Web

29. You can replace the
image on the screen
with your own work.
Just delete this one,
add yours and center it
properly
Tablet
App

30. Our Team
You can replace the
star on the screen with
a picture of this person
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You can replace the
star on the screen with
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