This document provides a template for an educational presentation on quadratics and complex numbers for 11th grade math. It includes slides on defining the topics, quadratic equations, complex numbers, examples, and assignments. The template offers formatting, images, icons, and other resources that can be customized for a presentation. Instructions are provided on how to edit, modify and attribute the template.

1. MATH SUBJECT FOR
HIGH SCHOOL:
QUADRATICS AND
COMPLEX NUMBERS
Here is where your presentation begins
11TH
GRADE

2. CONTENTS OF THIS TEMPLATE
Here’s what you’ll find in this Slidesgo template:
1. A slide structure based on an education presentation for High School, which you can easily
adapt to your needs. For more info on how to edit the template, please visit Slidesgo School
or read our FAQs.
2. An assortment of graphic resources that are suitable for use in the presentation can be
found in the alternative resources slide.
3. A thanks slide, which you must keep so that proper credits for our design are given.
4. A resources slide, where you’ll find links to all the elements used in the template.
5. Instructions for use.
6. Final slides with:
● The fonts and colors used in the template.
● A selection of illustrations. You can also customize and animate them as you
wish with the online editor. Visit Storyset to find more.
● More infographic resources, whose size and color can be edited.
● Sets of customizable icons of the following themes: general, business, avatar,
creative process, education, help & support, medical, nature, performing arts,
SEO & marketing, and teamwork.
You can delete this slide when you’re done editing the presentation.

3. WHOA!
This can be the part of the presentation where you
introduce yourself, write your email…

4. DEFINITION OF
THE TOPIC
01
You can describe the
topic of the section here
QUADRATIC
NUMBERS
02
You can describe the
topic of the section here
COMPLEX
NUMBERS
03
You can describe the
topic of the section here
TABLE OF CONTENTS

5. QUADRATICS
NUMBERS
01
You can enter a subtitle here if you need it

6. INTRODUCTION
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

7. MAIN VALUES
MERCURY
Mercury is 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

8. COEFFICIENT
MERCURY
It’s the closest planet to
the Sun and the smallest
in the Solar System
VENUS
Venus has a beautiful
name and is the second
planet from the Sun
MARS
Mars is actually a cold
place. It’s full of iron
oxide dust

9. ROOTS OF AN EQUATION
MERCURY
It’s the closest
planet to the Sun
VENUS
Venus it’s hot and
has a nice name
JUPITER
Jupiter is the
biggest planet
SATURN
It’s composed
mostly of hydrogen

10. QUADRATIC FUNCTIONS
MERCURY
It’s the closest
planet to the Sun
VENUS
Venus is the second
planet from the Sun
MARS
Mars is actually a
very cold place
JUPITER
Jupiter is the biggest
planet of them all
SATURN
It’s composed of
hydrogen and helium
NEPTUNE
It’s the farthest
planet from the Sun

11. AWESOME
WORDS

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

13. A PICTURE
IS WORTH A
THOUSAND
WORDS

14. A PICTURE
ALWAYS
REINFORCES
THE CONCEPT
Images reveal large amounts of
data, so remember: use an
image instead of a long text.
Your audience will appreciate it

15. ax2+bx+c=0
Equations can be very fun to solve!

16. 9h 55m 23s
Is Jupiter's rotation period
333,000
Earths is the Sun’s mass
386,000 km
Is the distance between Earth and the Moon

17. 13%
Jupiter is the biggest
planet of them all
25%
Venus is the second
planet from the Sun
62%
Mars is actually a
very cold place
PERCENTAGES

18. DESKTOP
SOFTWARE
You can replace the image
on the screen with your own
work. Just right-click on it
and select “Replace image”

19. TABLET
APP
You can replace the image on
the screen with your own
work. Just right-click on it
and select “Replace image”

20. PHONE
WEB
You can replace the image
on the screen with your own
work. Just right-click on it
and select “Replace image”

21. OUR TEAM
MERCURY
It’s the closest
planet to the Sun
VENUS
Venus is the second
planet from the Sun
SATURN
It’s composed of
hydrogen and helium

22. LEARNING EXPONENTS
TAKE A EQUATION
LIKE THIS:
AND TURN IT
INTO THIS:
ax2 + bx + c = 0 a(x+d)2 + e = 0
TAKE A EQUATION
LIKE THIS:
AND TURN IT
INTO THIS:
x2 + ax + bx + ab = 0 x2+bx/a+(b/2a)2=-c/a+(b/2a)

23. MEET OUR CENTERS
MERCURY
It’s the closest
planet to the Sun
VENUS
Venus is the second
planet from the Sun
MARS
Mars is actually a
very cold place

24. SOLVING PROBLEMS
MERCURY
It’s the closest
planet to the Sun
VENUS
Venus is the second
planet from the Sun
MARS
Mars is actually a
very cold place
NEPTUNE
It’s the farthest
planet from the Sun
01 02 03 04

25. OVERVIEW DIAGRAM
JUPITER
Jupiter is the
biggest planet of
them all
Mars is actually a
very cold place
Mercury is the
smallest planet
Venus is the second
planet from the Sun
01
02
03

26. EFFECTIVENESS OF THIS METHOD
MERCURY
It’s the closest
planet to the Sun
MARS
Mars is actually a
very cold place
Follow the link in the graph to modify its data and then paste the new one here.
For more info, click here

27. FILL THE TABLE
GENERAL EQUATION FACTORIZATION
x2 + (a + b)x + ab = 0 x2 + 5x + 6 = 0
x2 + ax + bx + ab = 0 x2 + 2x + 3x + 6 = 0
x(x + a) + b(x + a) x(x + 2) + 3(x + 2) = 0
(x + a)(x + b) = 0 (x + 2)(x + 3) = 0

28. COMPLETE THE SQUARE
+
x2
x
x
b
bx
+
x
x
b/2
X +
b
2
X +
b
2
2
b
)
(
x2 + bx + (b/2)2 = (x+b/2)2

29. KEEPING THE BALANCE
x2 + 6x +
6
2
Start with: x2+6x+7
COMPLETE THE SQUARE:
)
2
+ (
6
2
)
2
- (
+ 7
x2 + 6 x + (
6
2
SIMPLIFY IT:
)2 + 7 -
(
6
2
)2
The result: x2+6x+7=(x+3)2−2
6
2
)2
x+
( + 7 - 9 =(x+3)2−2

30. VALUES OF “D” AND “E”
Start with Ax2 + bx + c = 0
Divide the equation by a x2 = b/a x + c/a = 0
Put c/a on other side x2 = b/a x = - c/a
Add (b/2a)2 x2 = b/a x+ (b/2a)2=-c/a+(b/2a)2
Complete the square (x+b/2a)2=-c/a+(b/2a)2
To the left side (x+b/2a)2+c/a-(b/2a)2= 0
The original multiple a of x2 a(x+b/2a)2+c-b2/4a= 0

31. MIXED DEGREE SYSTEMS
WHAT ARE THE SOLUTIONS TO
THE FOLLOWING SYSTEMS?
{-2x² + y = -5
{ y = -3x² + 5
{ 10x² - y = 48
{ 2y = 16x² + 48
{ x + y = 11
{ 4x² - 3y² = 8
{ y = 6x² + 1
{ y = x² + 4
{ y = -2x²
(√2, -1)

32. SQUARE ROOT FUNCTIONS
f(x)=a(x−h)2+k
1
2
3
4
5
6
1 2 3 4 5 6
-6 -5 -4 -3 -2 -1
-1
-2
f(x)=ax2

33. 2
4
6
2 4 6 8 10 12
-2
-1
0
ONE TO ONE FUNCTION
𝑥 𝑓(𝑥)=√𝑥
0 𝑓(𝑥)=√0=0
1 𝑓(𝑥)=√1=1
2 𝑓(𝑥)=√2≈1.414
4 𝑓(𝑥)=√4=2
7 𝑓(𝑥)=√7≈2.645
9 𝑓(𝑥)=√9=3
16 𝑓(𝑥)=√16=4 y=√𝑥

34. ASSIGNMENTS
● This is a list of homework to learn the topic
● This is a list of homework to learn the topic
● This is a list of homework to learn the topic
● This is a list of homework to learn the topic
● This is a list of homework to learn the topic
● This is a list of homework to learn the topic
● This is a list of homework to learn the topic
● This is a list of homework to learn the topic

35. CREDITS: This presentation template was created by Slidesgo,
including icons by Flaticon and infographics & images by Freepik
THANKS!
youremail@freepik.co
m
+91 620 421 838
yourcompany.com
DO YOU HAVE ANY QUESTIONS?
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36. ALTERNATIVE RESOURCES
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VECTORS
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collection
PHOTOS
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● Happy student learning the lesson
● Colourful math numbers with
notebook and calculator
● Math colourful rulers supplies and
calculator

37. RESOURCES
Did you like the resources on this
template? Get them for free at our other
different websites:
VECTORS
● Flat back to school vertical flyer
template
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template
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PHOTOS
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● Student posing and writing
● Boy studying and thinking
● Top view copy space rubbers and
rulers
● Numbers near stationery and
calculator

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