8th Grade Pre-Algebra
Mrs. McDougal
2ND Quarter Syllabus
2nd Quarter Curriculum (October 12-December 16):
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Unit 3: Exponents and Scientific Notation (unit test the week of October 31)
Unit 4: Real Number System (unit test the week of November 28)
Unit 5: Equations (unit test the week of December 12)
Unit 3: Exponents and Scientific Notation (unit test the week of Oct. 31)
Common Core Standards:
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Learning Targets:
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.3 – Use numbers expressed in the form of a
single digit times an 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 x 108 and the population of the world as
7 x 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.
Vocabulary
Integer exponents
Power
Cubed
Standard notation
Base
Squared
Scientific notation
Quantity
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I can evaluate expressions with
exponents.
I can use the product properties of
exponents to simplify expressions.
I can use the quotient properties of
exponents to simplify expressions.
I can convert a number from standard
notation to scientific notation.
I can compare quantities written in
scientific notation, telling how much
larger or smaller something is.
I can add or subtract numbers written
in scientific notation.
Unit 4: Real Number System
(unit test the week of November 28)
Common Core Standards:
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Student Learning Targets:
8.NS.1-Understand informally that every
number has decimal expansion; the rational
numbers are those with decimal expansions that
terminate in 0s or eventually repeat. Know that
other numbers are called irrational.
8.NS.2-Use rational approximations of irrational
numbers to compare the size of irrational
numbers, locate them approximately on a
number line diagram, and estimate the value of
expressions.
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 √2 is irrational.
8.G.6- Explain a proof of the Pythagorean
Theorem and its converse.
8.G.7-Apply the Pythagorean Theorem to
determine unknown side lengths in right
triangles in real-world and mathematical
problems in two and three dimensions.
8.G.8-Apply the Pythagorean Theorem to find
the distance between two points in coordinate
system.
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Vocabulary:
Perfect square
Cube root
Rational number
Pythagorean Theorem
Square root
Irrational number
Real number
Leg /hypotenuse
I can identify a rational number
and an irrational number.
I can change a fraction to a decimal
or a decimal to a fraction.
I can identify a repeating decimal
and a terminating decimal.
I can approximate irrational
numbers as rational numbers.
I can approximately locate an
irrational number on a number
line.
I can estimate the value of
expressions involving irrational
numbers.
I can explain why the square root
of 2 is irrational.
I can calculate the solution(s) of
equations of the form x2=p.
I can calculate the solution of
equations of the form x3=p
I can evaluate square roots of small
perfect squares.
I can evaluate cube roots of small
perfect cubes.
I can explain a proof of the
Pythagorean Theorem.
I can calculate missing side lengths
in real world problems using the
Pythagorean Theorem.
I can calculate the distance
between two points in a
coordinate system using the
Pythagorean Theorem.
Unit 5: Equations (unit test the week of December 12)
Common Core Standards:
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Student Learning Targets:
8.EE.7a- Solve linear equations in one variable.
Give examples of linear equations in one
variable with one solution, infinitely many
solutions, or no solutions. Show which of these
possibilities is the case by successfully
transforming the given equation into simpler
forms, until an equivalent equation of the form
s=a, a=a, or a=b results (where a and b are
different number).
8.EE.7b- Solve linear equations with rational
number coefficients, including equations whose
solutions require expanding expressions using
the distributive property and collecting like
terms.
Vocabulary:
Linear equation
Coefficient
Distributive property
Associative property
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I can identify and use the
commutative, associative, and
distributive properties.
I can give examples of linear
equations that have one solution,
infinitely many solutions, and no
solution.
I can write and solve one-step
linear equations.
I can write and solve two-step
linear equations containing rational
number coefficients.
I can solve multi-step linear
equations containing rational
number coefficients that require
the use of the distributive property
and combining like terms.
Infinite solutions
Like terms
Commutative property
Grading Policy:
Target practice (Homework) will be assigned on a daily basis. Students are expected to complete all assignments and keep all
notes, class activities, target practices, etc. in the one inch binder each quarter, along with their textbook for that particular unit.
Notes/activities - Students are expected to take classroom lesson notes and complete all in-class activities. These will be kept in
your binder to use for homework help and as study guides for quizzes and tests.
Quizzes – These will range from 30 to 50 points and will be given over multiple lessons in a unit.
Tests/Open Response Questions – These will be at the end of each unit and will be worth approximately 100 points each.
Bellringers/Flashbacks – This is completed at the beginning of class each day. This task is worth 10 points weekly.
Quarter Final – This will be a cumulative test given at the end of each quarter.
Grading Percentages:
60% - Assessments/Tests
20% - Quarter Final
10% - Quizzes
10% - Engagement Credit (Classwork, Bellringers, Etc.)
*The grades for tests, quizzes, bellringers, etc. will be entered into Infinite Campus within 5 days of the due date.
*Students are expected to complete all assignments, even if you are absent. If a student has a missing assignment due to absences,
then I will speak to him/her individually about a due date for those assignments. Quizzes and tests must be taken afterschool if an
absence occurred on the day they were given.
If you have any questions or concerns, please feel free to contact me by e-mail at patty.mcdougal@bgreen.kyschools.us or by phone
at 746-2290. I will return emails and phone calls by 3:30 that day.