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All Rights Reserved.


MahometSeymour Schools

Curriculum

Mathematics  Algebra IB

Exponents and Polynomials

The learner will be able to evaluate expressions with
exponents.

The learner will be able to multiply monomials.

The learner will be able to raise a monomial
expression to a power.

The learner will be able to divide monomials.

The learner will be able to write numbers in
scientific notation.

The learner will be able to add and subtract
polynomials.

The learner will be able to multiply polynomials.

The learner will be able to find the product of two
binomials by inspection (FOIL method).

The learner will be able to square binomials.

The learner will be able to find the product of the
sum and difference of the same two numbers.

The learner will be able to write a number in prime
factorization form and write all of its whole number factors.

The learner will be able to factor polynomials by
finding common monomial or binomial factors.

The learner will be able to factor the difference of
two squares.

The learner will be able to factor a perfect square
trinomial.

The learner will be able to factor a polynomial of
the form x^2 + bx +c.

The learner will be able to factor a polynomial of
the form ax^2 + bx +c.

The learner will be able to factor a polynomial
completely over the integers.

The learner will be able to solve equation by
factoring.

The learner will be able to solve word problems using
equations that can be solved by factoring.

The learner will be able to solve proportions.

The learner will be able to solve investment problems
and mixture problems.

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 rational
expression.

The learner will be able to find the LCD of rational
expressions.

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

The learner will be able to add and subtract a
polynomial and a rational expression.

The learner will be able to divide one polynomial by
another.

Applications of Rational Expressions

The learner will be able to solve equations
containing rational expressions.

The learner will be able to write the equation of a
line, give its slope and coordinates of a point on the line.

The learner will be able to write the equation of a
line, given the coordinates of two points on the line.

The learner will be able to solve number problems
involving rational expressions.

The learner will be able to solve motion problems.

The learner will be able to solve work problems.

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

The learner will be able to solve problems involving
joint or combined variation.

The learner will be able to find the square roots of
numbers or expressions that are perfect squares.

The learner will be able to find rational
approximations for square roots.

The learner will be able to simplify radicals.

The learner will be able to find the length of a side
of a right triangle using the Pythagorean Theorem.

The learner will be able to find the distance between
two points on the coordinate plane.

The learner will be able to multiply radicals.

The learner will be able to divide radicals.

The learner will be able to add and subtract
radicals.

The learner will be able to solve radical equations.

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

Quadratic Functions and Equations

The learner will be able to solve quadratic equations
by factoring or by taking the square root of each side of the equation.

The learner will be able to solve quadratic equations
by completing the square.

The learner will be able to solve quadratic equations
by using the quadratic formula.

The learner will be able to solve word problems using
quadratic equation.

