Berlin Community School
8 Pre-Algebra
Teacher: Middle School (6-8) Math
Month
September
2010
Content
A. Problem Solving with the 4 Step
Process
B. Tesselations and Fractals
C. Mathematical Expressions and
Properties
October
2010
Skills
A. Use the 4 Step Process to solve
problems, Choose an appropriate method
of computation
B. Indentifying and Constructing
Tesselations
C. Use the order of operations to evaluate
expressions, Translate verbal phrases into
numerical expressions. Evaluate
expressions containing variables, Translate
verbal phrases into algebraic
expressions
D. Integers and Absolute
Value
D. graph integers on number line to
determine absolute value
- add integers with like/unlike signs
- subtract integers with unlike/like signs
- multiply and divide integers
A. Integers
A.1- Solve equations by multiplying and
dividing integers
Assessment
A. tesselated and colored math journal
cover
B. Problem Solving worksheet coordinated
with textbook
C. students' responses using wipeboards
Materials
Pre-Algebra, Glencoe, 2006
http://library.thinkquest.org/16661
/
-Dry Erase Boards
-Paper (Colored, Graphing)
-Tape
-Rulers
-Sissors
-Colored Pencils, Markers
-Journals
-Calculators
-Graphing Calculators
D. wipeboards to assess students' responses
in groups and individually
- 20 - item quiz (modify if needed)
- students complete in Resource Center if
needed
A. wipeboards to assess student
understanding on daily basis
A. 2-Apply skill of multiplying and
dividing integers to solve word problems
B. Expressions and Equations
B.1-write algebraic expressions and
equations from verbal expresions and
sentences
B. wipeboards to assess student
understanding on a daily basis
C. Addition and Subtraction equations
C. 1-solve addition/subtraction equations
by applying addition and subtraction
properties of equality
C. 1- wipeboards
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8 Pre-Algebra
Math
Month
Content
Berlin Community School
Skills
C.2- identify and apply
addition/subtraction properties of equality
to solve word problems
D. Multiplication and division equations
D.1-define and apply
multiplication/division properties of
equality to solve equations
E.Fractions and Decimals
F. Rational numbers
November
2010
E. 1-express rational numbers as decimals
2. express decimals as rational numbers
F.1-compare/order rational numbers
2. multiply and divide rational numbers
3.solve word problems using rational
numbers
Assessment
Materials
C.2-teacher observation as students
complete word problems as a group
D. 20 item completion test
modifications: extended time for test;
resource room setting; shorten test;
reteach skills if needed-retake test
E. wipeboards and groupwork
F. wipeboards/groupwork
A.-F. Jeopardy Math quiz game
10 item completion quiz
A.Open-ended questions
A. read for comprehension
interpret question
-plan stategy to solve problem
- apply stategy to solve problem
A.wriiten response to open-ended question
group discussion
B. Fractions
B. adding/subtracting like fractions
-adding/subtracting fractions with unlike
denominators
-applying skill to solve word problems
B.1-wipeboards
"Plug-It-In" groupwork game
C.Equations with Rational Numbers
C. solve equations with rational numbers
apply rules of rational numbers to solve
word problems
A-F: Jeopardy Math Quiz Game
20 item chapter test
D.Word problems
D. interpret problem
recognize patterns in word problem
solve word problem
E. Exponents
E. use powers and exponents in
expressions
solve word problems using exponents
B. - F.- wipeboards and groupwork
Modifications:
reduce items on test
use of calculators
extended time
test administered in resource room setting
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8 Pre-Algebra
Math
Month
December
2010
January
2011
Content
Berlin Community School
Skills
Assessment
F.Scientific
Notation
F.express numbers in scientific notation
solve word problems by applying
scientific notation
A. Real Number System
A. identify and classify numbers in the real
number system
A. 12 item quiz
B. Opened-Question Response
B. interpret problem
determine strategy for solving problem
apply strategy and solve problem
B. wriiten explanation of steps used to
solve problem
C.Pythagorean Theorem
C. define term
use Pythagorean theorem to find
hypotenuse or leg of right triangle
apply theorem and judge if triangle is right
triangle
solve word problems using theorem
C. groupwork (word problems)
discussion
D. Distance on Coordinate Planes
D. plot ordered pairs
apply pythagorean theorem to evalute
distance on coordinate plane
D. students' individual graphs
E. Square roots
E.find square roots of perfect squares
estimate square roots
A. Writing Fractions as Decimals
A. Write fractions as terminating or
repeating decimals. Compare and order
fractions and decimals.
Materials
A-E.. Jeopardy Math Game
20 item chapter test
Modifiations: reduce items
administer test in resource center
reteach skills and readminister test if
needed
A.-I. Dry Erase, Quizzes, and Tests
Modifications-reteach skills; retake
quizzes/tests in resource room setting
reduce homework
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8 Pre-Algebra
Math
Month
Content
Berlin Community School
Skills
B. Rational Numbers
B. Write rational numbers as fractions.
Identify and classify rational numbers.
C. Multiplying Rational Numbers
C. Multiply fractions and mixed numbers.
Use dimensional analysis to solve
problems.
D. Dividing Rational Numbers
D. Divide fractions and mixed numbers
using multiplicative inverses. Use
dimensional analysis to solve problems.
E. Adding and Subtracting with Common
Denominators
E. Add and subtract with common
denominators.
F. Place Value
F. Identifying, reading, and writing
numbers using correct notation and
vocabulary
G. Rounding numbers to the nearest ten,
hundred, thousand, dollar, cent, tenth,
hundredth, thousandth; Finding the
smallest and largest possible value that will
round to a given number and place value.
G. Rounding Numbers
H. Percents and Decimals
I. Scientific Notation
Assessment
Materials
H. Writing percents as equivalent decimals
and fractions
February
2011
D. Percent of a Number
E. Compound Interest
F. Primes, Multiples, and Factors
I. Express numbers in standard form and in
scientific notation. Compare and order
D. Solving a variety of problems using
percents, Comparing effects of percent
increase and decrease in a variety of
situations
E. Applying exponential growth and decay
formulas (compound interest, bacteria,
population, etc.); Recognizing and
Describing the difference between linear
and exponential growth
A.-K.Dry Erase, Quiz, Test
F. Applying concepts of factoring a
number into primes, Applying concepts of
multiples of a number, Using inequalities
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8 Pre-Algebra
Math
Month
Content
Berlin Community School
Skills
Assessment
Materials
of represent and describe relationships
between numbers
March
2011
G. Temperature
G. Converting Temperatures between
Fahrenheit and Celsius Scales
H. Adding, Subtracting, Multiplying and
Dividing with Integers
H. Solving problems that involve Adding,
Subtracting, Multiplying and Dividing with
Integers
I. Absolute Value
I. Applying the definition of absolute value
to solve problems
J. Factorial
J. Solving problems involving factorial
K. Ratio and Proportion
A. GEPA review
surface area and volume
K. Illustrate, model, and solve problems
A. accurately calculate area and volume for
rectangular prisms/cylinders
B. GEPA review
two-dimensional figures
irregular figures; circles
B. accurately calculate area and perimeter
of irregular figures and circles
C. Probability of Independent and
dependent events -GEPA review
C. classify experimental probabilities
versus theoretical probablities
D. Handshake problems, path finding,
networks, factorals - GEPA review
D. solving word problems
E. Data displays,bar charts,circle
graphs,scatter plots,frequency tables GEPA
E. read and interpret data using the various
graphs
F. Algebraic expressions-distributive
property
A. - G. individual student work;
wipeboards; GEPA unit test
A.-E.
F-G. Mathematics-Applications and
Concepts
Glencoe Mathematics @ 2006
F. define vovabulary terms-like
terms,constant,coefficient,term; simplify
expressions using the distrbutive property
write expressions for word problems
G.solve equations using horizontal and
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8 Pre-Algebra
Math
Month
April 2011
Content
Berlin Community School
Skills
G. Two-step equations
Equations with variables on both
sides
vertical methods; solve real world
problems with partners
A. Inequalities
A. 1. write and graph inequalities
2. use inequalities to solve word
problems
3. incorporate the property of inequalitiy
to add and subtract inequalities
4. multiply and divide to solve
inequalities
5. multiply and divide to solve word
problems involving inequalities
B. to find the probability of simple
events
B. Probability
C. Word Problems
Organized Lists
Assessment
Materials
A. - C. Individual work; peer assessment;
wipe boards; quiz; chapter 10
Glencoe Mathematics - Applications and
Concepts Course 3 @ 2006
A. - F. Dry erase boards; groupwork;
Mid-chapter quiz; group discussion;
Chapter test
Glencoe Mathematics Applications and
Concepts Course 3 @ 2006
C. create organized lists to solve
problems
May 2011
A. Counting Outcomes
A. use a tree diagram or the fundamental
counting principle to predict outcomes
B. Permutations
B. find permutations of objects
realize that order of objects does not
matter
solve word problems using permutations
C. Combinations
C. determine combinations of objects
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8 Pre-Algebra
Math
Month
Content
Berlin Community School
Skills
D. Probablity of Compound Events
discover order does matter
solve word problems using
combinations
E. Experimental Probability
D. find probability of compound events
determine if events are dependent or
independent
F. Statistics
E. discover experimental probability
solve word problems incorporating
experimental probability
Assessment
Materials
F. predict actions of large group using a
sampling of information
June 2011
A. Pre-Algebra Review
A. solve 4-step equations
apply order of operations to evaluate
equations
100 item Pre-Algebra Final
solve expressions using absolute value
add, subtract, multiply, or divide equations
with integers
write fractions as decimals
add, subtractm multiply, or divide
fractions
solve equations
multiply with exponents
find/estimate square roots
categorize real, rational,irrational, numbers
solve problems with the Pythagorean
Theorem
Use ratios and proportions
determine percent of a number
Determine area of geometric figures
Review probability
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