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Mahomet-Seymour 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.

 

  

 

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Rational Numbers

 

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.

 

 

 

  

 

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Equations

 

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.

 

  

 

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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.

 

  

 

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Inequalities

 

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.

 

  

 

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Functions and Graphs

 

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.

 

  

 

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Polynomials

 

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, (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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Factoring

 

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.

 

 

  

 

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Rational Expressions

 

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.

 

  

 

 

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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 y-intercept.

 

The learner will be able to find the slope and the y-intercept of aline by first solving for y.

 

  

 

The learner will be able to determine the x- and y-intercepts from a graph.

 

  

 

The learner will be able to graph linear equations using the x- and y-intercepts or the slope and the y-intercept.

 

  

 

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.

 

  

 

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.

 

  

 

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.

 

  

 

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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.

 

  

 

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Radical Expressions

 

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.

 

  

 

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