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Mahomet-Seymour 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.

 

  

 

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Factoring Polynomials

 

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.

 

  

 

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Rational Expressions

 

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.

 

  

 

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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.

 

  

 

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Radicals

 

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.

 

  

 

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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.

 

  

 

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