Bell Work
• What is a variable?
¿Qué es una variable?
• What types of variables do
you think we will solve for in
Physics?
¿Qué tipos de variables crees
que resolveremos en Física?
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ALGEBRA
REVIEW
(Repaso de
algebra)
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Relevance (Relevancia ) …
• In Physics class, we use algebra to solve for a single variable
in an equation. (En la clase de física, usamos el álgebra
resolver una sola variable en una ecuación. )
• A variable is a letter that represents quantity in an equation.
(Una variable es una letra que representa la cantidad en una
ecuación.)
-E.g. x, y, d, t
-E.g. α, ω, θ, λ
• Eg: In the equation 4x + 5 = 25, x is the variable. (En la
ecuación 4x + 5 = 25, x es la variable.)
PEMDAS
E.g.
P= Parenthesis (paréntesis)
2(4+5)
E= Exponent (Exponente)
32 x 5
M= Multiplication (Multiplicación)
4x5-3
D= Division (División)
21/3 - 2
A= Addition (Suma)
6+4x3
S= Subtraction (Resta)
52 - 7
Forward PEMDAS
• Use forward PEMDAS when simplifying (when your unknown
variable is already on a side of the equal sign by itself) (Usa
PEMDAS directo simplificar (cuando su variable desconocida
ya está solo en un lado del signo igual)
• Eg: V = 2 + 10(1/2)
V=7
Opposite Operations
• Use opposite operations when the variable is not on a side of the
equal sign by itself. (Usa operaciones opuestas cuando la variable
no está sola en un lado del signo igual.)
• Ex: 40 = X/20
800 = X
Ex: 35 – X = 29
Ex: 5 = 100/X
6= X
X = 20
Backwards PEMDAS … SADMEP
• Use backwards PEMDAS – SADMEP – when you have multiple
steps to undo in order to isolate the variable. (Usa al revés
PEMDAS - SADMEP - cuando tengas que deshacer varios pasos
para aislar la variable)
• Ex: 5X + 3 = 13
Ex: 5(6) – X = 32
Ex: X2 – 7 = 5 (4) + 9
X=2
21 = X
X=6
Algebra Review: Partner Practice
Work out these problems. Show your work :-D
Continued …
Graphing Review
Graphs
• Graphs are a visual representation of data. (Los gráficos son una
representación visual de los datos.)
• There are many different types of graphs, each of which has
different uses. (Hay muchos tipos diferentes de gráficos, cada
uno de los cuales tiene diferentes usos.)
- Bar graphs: used to compare different categories
of data. (compara diferentes categorías de datos)
- Line graphs: used to show the relationship between
two variables. (muestra la relación entre dos variables)
• We will mostly be using line graphs in this class.
(Utilizaremos principalmente gráficos de líneas en esta clase.)
Identifying parts of a graph
Title: Books Read by Students
Y-axis: # of books
read
Interval:
+5
20
15
Key
Stella
David
Pierce
10
5
+1 : interval
+1
0
2015
2016
2017
2018
2019
2020
2021
2022
X-axis: Time (Years)  (Units)
Parabolic graph:
y = ax2 + bx + c
Linear Graph:
y = mx + b
Sinusoidal
Graph:
y = sin (x)
Exit Slip
WHAT HAVE YOU LEARNED ABOUT VARIABLES? (¿QUÉ HAS
APRENDIDO SOBRE LAS VARIABLES?
HOW CONFIDENT ARE YOU KNOW ABOUT SOLVING
ALGEBRAIC EQUATIONS? (ON A SCALE 1-10) ( ¿QUÉ TAN
SEGURO ESTÁS DE RESOLVER ECUACIONES ALGEBRAICAS?