Download 8th Math Unit 2 - Livingston County School District

Livingston County Schools
Eighth Math Unit 2
One Variable Equations, Exponents, Scientific Notation
Unit Overview
Students solve single variable equations using the properties of equality. Students use positive and negative exponents, and use scientific
notation in a real world context.
Length of unit: 25 days
KY Core Academic
Standard
8.EE.1 Know and apply
the properties of integer
exponents to generate
equivalent numerical
expressions. For
example, 3² x 3-5 = 3-3 =
1/33 = 1/27.
8.EE.2 Use square root
and cube root symbols
to represent solutions to
equations of the form x2
= p and x3 = p, where p is
a positive rational
number. Evaluate square
roots of small perfect
squares and cube roots
of small perfect cubes.
Know that the square
root of 2 is irrational.
8.EE.3 Use numbers
expressed in the form of
a single digit times an
Learning Target
K
I can explain the properties of
integer exponents to generate
equivalent numerical
expressions. For example,
3² x 3-5 = 3-3 = 1/33 = 1/27.
X
I can apply the properties of
integer exponents to produce
equivalent numerical
expressions.
I can use square root and cube
root symbols to represent
solutions to equations of the
form x2 = p and x3 = p, where p is
a positive rational number.
X
X
X
I can evaluate square roots of
small perfect squares.
X
I can evaluate cube roots of small
perfect cubes.
X
I can understand that the square
root of 2 is irrational.
I can express numbers as a single
digit times an integer power of
10.
X
R
S
P
Critical
Vocabulary
Texts/Resources/Activities
integer power of 10 to
estimate very large or
very small quantities,
and to express how
many times as much one
is than the other. For
example, estimate the
population of the United
States as 3 × 108 and the
population of the world
as 7 × 109, and
determine that the world
population is more than
20 times larger.
8.EE.4 Perform operations
with numbers expressed
in scientific notation,
including problems where
both decimal and
scientific notation are
used. Use scientific
notation and choose units
of appropriate size for
measurements of very
large or very small
quantities (e.g., use
millimeters per year for
seafloor spreading).
Interpret scientific
notation that has been
generated by technology.
8.EE.7a Solve linear
equations in one variable:
a. Give examples of linear
equations in one variable
with one solution,
infinitely many solutions,
or no solutions. Show
which of these
X
I can use scientific notation to
estimate very large and/or very
small quantities.
X
I can compare quantities to
express how much larger one is
compared to the other.
I can perform operations using
numbers expressed in scientific
notations.
X
X
I can use scientific notation to
express very large and very small
quantities.
X
I can interpret scientific
notation that has been
generated by technology.
X
I can choose appropriate units of
measure when using scientific
notation.
33. I can give examples of linear
equations in one variable with
one solution and show that the
given example equation has one
solution by successively
transforming the equation into
an equivalent equation of the
form x = a.
X
Coefficient,
inverse
operation,
isolate the
variable, like
terms, linear
equation,
multiplication
Crosswalk Lesson 9
Lesson 1-7 & 1-8 p. 34-43
Solving Equations using all
operations
Lesson 2-7 Solving Equations
with Rational Numbers
Lesson 2-8 p. 98
Solving Two-Step Equations
possibilities is the case by
successively transforming
the given equation into
simpler forms, until an
equivalent equation of
the form x = a, a = a, or a
= b results (where a and b
are different numbers).
8.EE.7b Solve linear
equations in one
variable:
b. Solve linear equations
with rational number
coefficients, including
equations whose
solutions require
expanding expressions
using the distributive
property and collecting
like terms.
34. I can give examples of linear
equations in one variable with
X
infinitely many solutions and
show that the given example has
infinitely many solutions by
successively transforming the
equation into an equivalent
equation of the form a = a.
35. I can give examples of linear
equations in one variable with no
solution and show that the given
example has no solution by
X
successively transforming the
equation into an equivalent
equation of the form b = a, where
a and b are different numbers
X
36. I can solve linear equations
with rational number
coefficients.
37. I can solve equations whose
X
solutions require expanding
expressions using the
distributive property and/ or
collecting like terms.
Common Assessments Developed (Proposed Assessment
Dates):
HOT Questions:
property of
equality, rate of
change,
relation,
variable
Coefficient,
inverse
operation,
isolate the
variable, like
terms, linear
equation,
multiplication
property of
equality, rate of
change,
relation,
variable
Crosswalk Lesson10
Lesson 11-1 p. 584 Simplifying
Algebraic Expressions
Lesson 11-2 p. 588
Solving Multi-Step Equations
Lesson 11-3 p. 593
Solving Equations w/Variables
on Both Sides