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3. Table of contents
You can describe the topic
of the section here
01
Introduction to
Pre-calculus
You can describe the topic
of the section here
02
Algebraic
concepts
You can describe the topic
of the section here
03
Equations and
functions
You can describe the topic
of the section here
04
Review and
practice
4. Whoa!
This can be the part of the presentation
where you introduce yourself, write
your email…
6. What is Pre-calculus?
Mercury takes a little more than 58
days to complete its rotation, so try to
imagine how long days must be there!
Since the temperatures are so
extreme, albeit not as extreme as on
Venus, Mercury has been deemed to
be non-habitable for humans
Mercury is the closest planet to the
Sun and the smallest one in the entire
Solar System. Contrary to popular
belief, this planet's name has nothing
to do with the liquid metal. Mercury
was, instead, named after the famous
Roman messenger god Mercurius
7. Importance of
Pre-calculus in
high school
Do you know what helps you make your
point crystal 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
8. Review of algebraic concepts
Venus has a beautiful name and
is the second planet from the
Sun. It’s terribly hot and has a
poisonous atmosphere
Mercury is the closest planet to
the Sun and the smallest one in
the Solar System—it’s only a bit
larger than the Moon
Variables Expressions
9. Geometry and physics applications
Mercury is the closest
planet to the Sun and the
smallest of them all. It was
named after a Roman god
Venus has a beautiful name
and is the second planet
from the Sun. It is hot, even
hotter than Mercury
Despite being red, Mars is a
cold place. It’s full of iron
oxide dust, which gives the
planet its reddish cast
Perimeter/area Volume/surface Motion/speed
10. Order of operations to solve equations
Mercury is the closest planet to the Sun
and the smallest one in the Solar System.
It was named after a god
Venus has a beautiful name and is the
second planet from the Sun. It is terribly
hot, even hotter than Mercury
Earth is the third planet from the Sun and
the only one that harbors life. All
humans live on this planet
Despite being red, Mars is actually a cold
place. It’s full of iron oxide dust, which
gives the planet its reddish cast
Parentheses
Multiplication / division
Exponents / powers
Addition / subtraction
11. Venus has a beautiful name
and is the second planet
from the Sun
Earth is the third planet
from the Sun and the only
one that harbors life
Most common types of equations
Mercury is the closest
planet to the Sun and the
smallest of them all
Despite being red, Mars is
actually a cold place. It is
full of iron oxide dust
Jupiter is a gas giant and
the biggest planet in the
Solar System
Saturn has several rings
and is composed mostly of
hydrogen and helium
Linear Quadratic Polynomial
Exponential Logarithmic Other
15. To reinforce the
concept, try using
an image
Images reveal large amounts of data, so
remember: use an image instead of a long
text. Your audience will appreciate it
17. Jupiter's rotation period
9h 55m 23s
333,000
The Sun’s mass compared to Earth’s
386,000 km
Distance between Earth and the Moon
18. Mercury is the closest
planet to the Sun and the
smallest of them all
Exponential
Venus has a beautiful name
and is the second planet
from the Sun
Quadratic
Despite being red, Mars is
actually a cold place. It’s
full of iron oxide dust
Lineal
Let’s use some percentages
50% 75%
25%
19. Computer
mockup
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20. Tablet mockup
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22. Calculus education around the world
USA
Mercury is the closest
planet to the Sun and
the smallest one
UK
Venus has a beautiful
name and is the second
planet from the Sun
23. Solving multi-step equations
Distributive property
Mercury is the closest planet to
the Sun and the smallest one
Move constants
Earth is the third planet and the
only one that harbors life
Combine like terms
Venus has a beautiful name and is
the second planet from the Sun
Simplify
Despite being red, Mars is a cold
place. It is full of iron oxide dust
Step 01 Step 02 Step 03 Step 04
24. Main parts of an algebraic equation
Algebraic equation
Coefficients Variables Constants
Terms Operators
Mercury is the
closest planet to
the Sun and the
smallest one
Venus has a cute
name and is the
second planet
from the Sun
Earth is the third
planet from the
Sun and harbors
life. It’s our home
Equal sign
25. Different equation-solving methods
Method Steps Ex. Equation
Addition/Subtraction
1. Write the steps here
2. Write the steps here
2x + 5 = 15
Substitution
1. Write the steps here
2. Write the steps here
3x + 2y = 10
2x - y = 5
Factoring
1. Write the steps here
2. Write the steps here
x^2 - 4 = 0
Quadratic formula
1. Write the steps here
2. Write the steps here
2x^2 + 5x - 3 = 0
26. Solving methods usage
Follow the link in the graph to modify its data and then paste
the new one here. For more info, click here
45% - Addition
Mercury is the closest planet to the Sun
30 % - Substitution
Venus is the second planet from the Sun
15% - Factoring
Earth is the only planet that harbors life
10% - Other
Despite being red, Mars is a cold place
27. Hakim Harris
Sofia Hill
Our teachers
You can speak a bit about
this smart person here
You can speak a bit about
this smart person here
29. Linear equations: Finding x
Directions: Solve each equation and determine the value of x
3x + 5 = 20
A x = ?
2(x - 4) = 10
B x = ?
7 - 2x = 3x + 1
C x = ?
4(x + 3) - 2 = 14
D x = ?
5x - 3 = 2x + 10
E x = ?
8 - 3x = 4x + 7
F x = ?
2(2x + 5) = 3(4x - 1)
G x = ?
9x - 7 = 2x + 20
H x = ?
3x - 2(x - 3) = 5x + 10
I x = ?
6x - 8 = 2(4x + 3)
J x = ?
30. Quadratic equations: Finding x
Directions: Solve for the values of x that satisfy each equation. Remember to apply the quadratic
formula or factoring techniques to find the solutions!
2x^2 + 5x - 3 = 0
A x = ?
Quadratic equations are algebraic
equations of the form ax^2 + bx + c = 0
The quadratic formula is a formula used to
solve quadratic equations. It provides the
solutions for x in terms of the coefficients
a, b, and c. The quadratic formula is: x = (-b
± √(b^2 - 4ac)) / (2a)
3x^2 - 7x + 2 = 0
B x = ?
x^2 + 2x - 15 = 0
C x = ?
2x^2 - 5x - 12 = 0
D x = ?
x^2 - 4x + 4 = 0
E x = ?
31. System of linear equations
Directions: Solve for the values of x and y that satisfy each equation
2x + 3y = 10
4x - 2y = 8
A
y = ?
x = ?
3x + 2y = 5
5x - 3y = -1
B
y = ?
x = ?
x + y = 6
2x - 3y = 9
C
y = ?
x = ?
4x - 5y = -2
3x + 2y = 10
D
y = ?
x = ?
2x + 5y = 3
3x - 2y = 7
E
y = ?
x = ?
3x + 4y = 12
5x - 2y = -6
F
y = ?
x = ?
32. Solution or no solution?
Directions: Determine if the equation has a solution or not. If it does, find the solution(s) and
clearly indicate the method you used to solve it
Equation Type No solution Solution
3x + 7 = 2x + 9 Linear
x = 2
Method: Isolating the x
x^2 + 5x + 9 = 0 Quadratic
x =
Method:
5x^2 - 6x + 2 = 0
x =
Method:
33. Problems and equations
Directions: For each problem, set up the appropriate equation(s) and solve for the unknown.
Show all your work and provide the final answer with proper units or labels if necessary
A total of 300 tickets were sold for a school play. Adult tickets cost $8 each, while student
tickets cost $5 each. If the total revenue from ticket sales was $2,100, how many adult and
student tickets were sold?
A
Write your answer here…
A carpenter is cutting a wooden board into two pieces. One wooden piece is 6 inches longer
than the other. If the total length of the board is 42 inches, what are the lengths of the two
wooden pieces?
B
Write your answer here…
34. Crossword
Directions: Solve the linear equations and write the value of the solution in the crossword grid
Across
3x - 6 = 0
25 - 2x = 3
20 - 2x = 2
100 - x = 20
10 - 3x = 4
120 - 2x = 0
40 - 2x = 20
1
4
6
7
8
11
12
Down
25 - x = 5
6x -1 = 5
10 - 3x = 4
5x - 10 = 30
5 5x = 50
3x - 4 = 20
10x 4 =14
7x - 12 = 30
1
2
3
5
6
7
9
10
1
2
4
6 5
3
7
8
9
12
10
11
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