© 2008 by MahometSeymour Schools.
All Rights Reserved.


MahometSeymour Schools

Curriculum

Mathematics  Algebra I

An Introduction to Algebra

The learner will be able to translate verbal
expressions into mathematical expressions.
The learner will
be able to translate mathematical expressions into verbal expressions.

The learner will be able to write an expression
containing identical factors as an expression using exponents.

The learner will be able to use the order of
operations to evaluate expressions.

The learner will be able to solve open sentences by
performing arithmetic operations.

The learner will be able to recognize and use the properties
of identify and equality.

The learner will be able to use the distributive
property to simplify expressions.

The learner will be able to use the distributive
property to gather like terms.

The learner will be able to recognize and use the
commutative and associative property when simplifying expressions.

The learner will be able to translate verbal
expressions into equations and formula.

The learner will be able to explore problem
situations by asking and answering questions.

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.

The learner will be able to graph integers on a
number line.

The learner will be able to find the absolute value
of a number.

The learner will be able to add and subtract
integers.

The learner will be able to compare numbers.

The learner will be able to write inequalities for
graphs on a number line.

The learner will be able to graph inequalities on
number lines.
The learner will
be able to write verbal statements as algebraic inequalities.

The learner will be able to compare rational numbers
using the comparison property.

The learner will be able to find a number between two
rational numbers using the density property.

The learner will be able to add two or more rational
numbers.

The learner will be able to subtract rational
numbers.

The learner will be able to simplify expressions that
contain rational numbers.

The learner will be able to multiply rational
numbers.

The learner will be able to divide rational numbers.

The learner will be able to define variables and
write equations for verbal problems.

The learner will be able to solve equations by using
addition.

The learner will be able to solve equations by using
subtraction.

The learner will be able to solve equations by using
multiplication.

The learner will be able to solve equations by using
division.

The learner will be able to solve equations by
working backwards.

The learner will be able to solve equations involving
more than one operation.

The learner will be able to solve equations with the
variable on both sides.

The learner will be able to solve equations
containing grouping symbols.

The learner will be able to solve equations
containing fractions or decimals.

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.

Applications of Rational Numbers

The learner will be able to solve proportions.
The learner will
be able to apply rations to maps and scales.

The learner will be able to solve percent problems.

The learner will be able to solve problems involving
simple interest.

The learner will be able to solve problems involving
percent increase or decrease.

The learner will be able to solve problems involving
discount or sales tax.

The learner will be able to solve problems by making a
table or chart.

The learner will be able to solve mixture problems.

The learner will be able to solve problems involving
uniform motion by using the formula d=rt.

The learner will be able to solve problems involving
direct variations.

The learner will be able to solve problems involving
inverse variations.

The learner will be able to solve inequalities by
using addition and subtraction.

The learner will be able to solve inequalities by
using multiplication and division.
The learner will be
able to graph solutions to inequalities.

The learner will be able to solve inequalities
involving more than one operation.

The learner will be able to solve problems by making
a diagram.

The learner will be able to solve compound
inequalities and graph their solution sets.

The learner will be able to solve problems that
involve compound inequalities.

The learner will be able to solve open sentences involving
absolute values and graph the solutions.

The learner will be able to graph ordered pairs on a
coordinate plane.

The learner will be able to identify the domain,
range, and inverse of a relation.

The learner will be able to show relations as sets of
ordered pairs and mappings.

The learner will be able to solve linear equations
for a specific variable.

The learner will be able to solve linear equations
for a given domain.

The learner will be able to graph linear equations on
a coordinate plane.

The learner will be able to determine whether a given
relation is a function.

The learner will be able to calculate functional
values for a given function.

The learner will be able to graph inequalities in the
coordinate plane.

The learner will be able to write an equation to
represent a relation given a chart of values.

The learner will be able to multiply monomials.

The learner will be able to simplify expressions
involving powers of monomials.

The learner will be able to simplify expressions
involving quotients of monomials.

The learner will be able to simplify expressions
containing negative exponents.

The learner will be able to express numbers in
scientific and decimal notation.

The learner will be able to find products and quotients
of numbers expressed in scientific notation.

The learner will be able to find the degree of
polynomials.

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.

The learner will be able to add and subtract
polynomials.

The learner will be able to multiply a polynomial by
a monomial.

The learner will be able to simplify expressions
involving polynomials.

The learner will be able to use the FOIL method to
multiply two binomials.

The learner will be able to multiply any two polynomials
by using the distributive property.

The learner will be able to use the patterns for (a+b)^2, (ab)^2, and (a+b) (ab).
The learner will
be able to divide a polynomial by a binomial using long division.

The learner will be able to find the prime
factorization of an integer.

The learner will be able to find the greatest common
factor (GCF) for a set of monomials.

The learner will be able to use the GCF and the distributive
property to factor polynomials.

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.

The learner will be able to identify and factor
polynomials that are the differences of squares.

The learner will be able to identify and factor
perfect square trinomials.

The learner will be able to factor polynomials by applying
the various methods of factoring.

The learner will be able to use the zero product
property to solve equations.

The learner will be able to solve equations by using various
factoring methods and applying the zero product property.

The learner will be able to simplify rational expressions.

The learner will be able to multiply rational
expressions.

The learner will be able to divide polynomials by
binomials.

The learner will be able to add and subtract rational
expressions with like denominators.

The learner will be able to add or subtract rational
expressions with unlike denominators.

The learner will be able to simplify mixed expressions
and complex fractions.

Graphing Linear Equations

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.

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.

The learner will be able to write a linear equation in
standard form given the coordinates of two points on the line.

The learner will be able to write an equation in
standard form given the slope and the yintercept.
The learner will
be able to find the slope and the yintercept of aline
by first solving for y.

The learner will be able to determine the x and
yintercepts from a graph.

The learner will be able to graph linear equations
using the x and yintercepts or the slope and the yintercept.

The learner will be able to write a linear equation
in slopeintercept form given the slope of a line and the coordinates of a
point on the line.

The learner will be able to write a linear equation in
slopeintercept form given the slope of a line and the coordinates of a
point on the line.

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.

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.

Systems of Open Sentences

The learner will be able to solve systems of
equations by graphing.

The learner will be able to determine whether a system
of equations has one solution, no solution, or infinitely many solutions by
graphing.

The learner will be able to solve systems of
equations by the substitution method.

The learner will be able to solve systems of equations
by the elimination method using addition or subtraction.

The learner will be able to solve systems of
equations by the elimination method using multiplication and addition.

The learner will be able to solve systems of inequalities
by graphing.

The learner will be able to simplify rational square
roots.

The learner will be able to find approximate values
for square roots.

The learner will be able to use the Pythagorean
Theorem.

The learner will be able to identify irrational
numbers.

The learner will be able to simplify square roots.

The learner will be able to simplify radical
expressions that contain variables.

The learner will be able to simplify radical
expression involving addition and subtraction.

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.

