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© 2008 by Mahomet-Seymour Schools.
All Rights Reserved.
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Mahomet-Seymour Schools
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Curriculum
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Mathematics - Algebra I
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An Introduction to Algebra
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The learner will be able to translate verbal
expressions into mathematical expressions.
The learner will
be able to translate mathematical expressions into verbal expressions.
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The learner will be able to write an expression
containing identical factors as an expression using exponents.
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The learner will be able to use the order of
operations to evaluate expressions.
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The learner will be able to solve open sentences by
performing arithmetic operations.
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The learner will be able to recognize and use the properties
of identify and equality.
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The learner will be able to use the distributive
property to simplify expressions.
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The learner will be able to use the distributive
property to gather like terms.
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The learner will be able to recognize and use the
commutative and associative property when simplifying expressions.
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The learner will be able to translate verbal
expressions into equations and formula.
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The learner will be able to explore problem
situations by asking and answering questions.
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The learner will be able to describe the groups of
numbers and their relations.
The learner will be able to state the coordinate of a
point on a number line.
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The learner will be able to graph integers on a
number line.
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The learner will be able to find the absolute value
of a number.
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The learner will be able to add and subtract
integers.
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The learner will be able to compare numbers.
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The learner will be able to write inequalities for
graphs on a number line.
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The learner will be able to graph inequalities on
number lines.
The learner will
be able to write verbal statements as algebraic inequalities.
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The learner will be able to compare rational numbers
using the comparison property.
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The learner will be able to find a number between two
rational numbers using the density property.
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The learner will be able to add two or more rational
numbers.
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The learner will be able to subtract rational
numbers.
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The learner will be able to simplify expressions that
contain rational numbers.
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The learner will be able to multiply rational
numbers.
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The learner will be able to divide rational numbers.
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The learner will be able to define variables and
write equations for verbal problems.
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The learner will be able to solve equations by using
addition.
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The learner will be able to solve equations by using
subtraction.
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The learner will be able to solve equations by using
multiplication.
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The learner will be able to solve equations by using
division.
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The learner will be able to solve equations by
working backwards.
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The learner will be able to solve equations involving
more than one operation.
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The learner will be able to solve equations with the
variable on both sides.
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The learner will be able to solve equations
containing grouping symbols.
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The learner will be able to solve equations
containing fractions or decimals.
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The learner will be able to solve equations for a
given variable.
The learner will be able to solve story problems by defining
a variable, writing an equation, solving and checking.
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Applications of Rational Numbers
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The learner will be able to solve proportions.
The learner will
be able to apply rations to maps and scales.
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The learner will be able to solve percent problems.
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The learner will be able to solve problems involving
simple interest.
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The learner will be able to solve problems involving
percent increase or decrease.
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The learner will be able to solve problems involving
discount or sales tax.
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The learner will be able to solve problems by making a
table or chart.
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The learner will be able to solve mixture problems.
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The learner will be able to solve problems involving
uniform motion by using the formula d=rt.
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The learner will be able to solve problems involving
direct variations.
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The learner will be able to solve problems involving
inverse variations.
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The learner will be able to solve inequalities by
using addition and subtraction.
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The learner will be able to solve inequalities by
using multiplication and division.
The learner will be
able to graph solutions to inequalities.
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The learner will be able to solve inequalities
involving more than one operation.
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The learner will be able to solve problems by making
a diagram.
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The learner will be able to solve compound
inequalities and graph their solution sets.
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The learner will be able to solve problems that
involve compound inequalities.
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The learner will be able to solve open sentences involving
absolute values and graph the solutions.
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The learner will be able to graph ordered pairs on a
coordinate plane.
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The learner will be able to identify the domain,
range, and inverse of a relation.
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The learner will be able to show relations as sets of
ordered pairs and mappings.
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The learner will be able to solve linear equations
for a specific variable.
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The learner will be able to solve linear equations
for a given domain.
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The learner will be able to graph linear equations on
a coordinate plane.
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The learner will be able to determine whether a given
relation is a function.
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The learner will be able to calculate functional
values for a given function.
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The learner will be able to graph inequalities in the
coordinate plane.
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The learner will be able to write an equation to
represent a relation given a chart of values.
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The learner will be able to multiply monomials.
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The learner will be able to simplify expressions
involving powers of monomials.
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The learner will be able to simplify expressions
involving quotients of monomials.
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The learner will be able to simplify expressions
containing negative exponents.
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The learner will be able to express numbers in
scientific and decimal notation.
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The learner will be able to find products and quotients
of numbers expressed in scientific notation.
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The learner will be able to find the degree of
polynomials.
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The learner will be able to arrange the terms of a polynomial
so that the powers of a certain variable are in ascending or descending
order.
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The learner will be able to add and subtract
polynomials.
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The learner will be able to multiply a polynomial by
a monomial.
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The learner will be able to simplify expressions
involving polynomials.
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The learner will be able to use the FOIL method to
multiply two binomials.
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The learner will be able to multiply any two polynomials
by using the distributive property.
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The learner will be able to use the patterns for (a+b)^2, (a-b)^2, and (a+b) (a-b).
The learner will
be able to divide a polynomial by a binomial using long division.
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The learner will be able to find the prime
factorization of an integer.
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The learner will be able to find the greatest common
factor (GCF) for a set of monomials.
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The learner will be able to use the GCF and the distributive
property to factor polynomials.
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The learner will be able to use grouping techniques
to factor polynomials with four or more terms.
The learner will
be able to factor a quadratic trinomial.
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The learner will be able to identify and factor
polynomials that are the differences of squares.
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The learner will be able to identify and factor
perfect square trinomials.
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The learner will be able to factor polynomials by applying
the various methods of factoring.
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The learner will be able to use the zero product
property to solve equations.
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The learner will be able to solve equations by using various
factoring methods and applying the zero product property.
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The learner will be able to simplify rational expressions.
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The learner will be able to multiply rational
expressions.
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The learner will be able to divide polynomials by
binomials.
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The learner will be able to add and subtract rational
expressions with like denominators.
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The learner will be able to add or subtract rational
expressions with unlike denominators.
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The learner will be able to simplify mixed expressions
and complex fractions.
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Graphing Linear Equations
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The learner will be able to find the slope of a line,
given the coordinates of two points on the line.
The learner will
be able to find the slope of a line, given the coordinates of two points on
the line.
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The learner will be able to write a linear equation
in standard form given the coordinates of a point on the line and the slope
of the line.
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The learner will be able to write a linear equation in
standard form given the coordinates of two points on the line.
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The learner will be able to write an equation in
standard form given the slope and the y-intercept.
The learner will
be able to find the slope and the y-intercept of aline
by first solving for y.
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The learner will be able to determine the x- and
y-intercepts from a graph.
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The learner will be able to graph linear equations
using the x- and y-intercepts or the slope and the y-intercept.
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The learner will be able to write a linear equation
in slope-intercept form given the slope of a line and the coordinates of a
point on the line.
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The learner will be able to write a linear equation in
slope-intercept form given the slope of a line and the coordinates of a
point on the line.
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The learner will be able to write an equation of a
line that passes through a given point and is parallel or perpendicular to the
graph of a given equation.
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The learner will be able to find the coordinates of
the midpoint of a line segment in the coordinate plane given the
coordinates of the endpoints.
The learner will
be able to use the distance formula to find the distance between any two
points.
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Systems of Open Sentences
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The learner will be able to solve systems of
equations by graphing.
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The learner will be able to determine whether a system
of equations has one solution, no solution, or infinitely many solutions by
graphing.
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The learner will be able to solve systems of
equations by the substitution method.
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The learner will be able to solve systems of equations
by the elimination method using addition or subtraction.
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The learner will be able to solve systems of
equations by the elimination method using multiplication and addition.
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The learner will be able to solve systems of inequalities
by graphing.
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The learner will be able to simplify rational square
roots.
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The learner will be able to find approximate values
for square roots.
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The learner will be able to use the Pythagorean
Theorem.
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The learner will be able to identify irrational
numbers.
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The learner will be able to simplify square roots.
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The learner will be able to simplify radical
expressions that contain variables.
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The learner will be able to simplify radical
expression involving addition and subtraction.
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The learner will be able to solve radical equations.
The learner will
be able to find the distance between two points on the coordinate plane.
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