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Mahomet-Seymour Schools

 Curriculum

Mathematics - Pre-Algebra 9

 

 

 

The Language of Algebra

 

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

 

  

 

The learner will be able to use variables to evaluate algebraic expressions.

 

  

 

The learner will be able to recognize and apply the properties of addition and multiplication.

 

  

 

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

 

  

 

The learner will be able to differentiate between an equation and an open sentence and solve an open sentence.

 

  

 

The learner will be able to solve a problem using the guess-and-check strategy.

 

  

 

The learner will be able to use inverse operations to solve equations.

 

  

 

The learner will be able to translate verbal phrases as algebraic expressions.

 

  

 

The learner will be able to solve a problem by using an equation.

 

  

 

The learner will be able to evaluate inequalities.

 

  

 

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Integers

 

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 recognize the order of integers on the number line.

 

  

 

The learner will be able to add integers on the number line.

 

  

 

The learner will be able to use properties to add integers.

 

  

 

The learner will be able to subtract integers and use the distributive property to combine like terms.

 

  

 

The learner will be able to determine the truth value of a statement and its negation.

 

  

 

The learner will be able to multiply integers.

 

  

 

The learner will be able to divide integers.

 

  

 

The learner will be able to solve problems involving integers.

 

  

 

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Solving One-step Equations

 

The learner will be able to use the subtraction property of equality to solve one-step equations.

 

  

 

The learner will be able to use the addition property of equality to solve one-step equations.

 

  

 

The learner will be able to use the division property of equality to solve one-step equations.

 

  

 

The learner will be able to use the multiplication property of equality to solve one-step equations.

 

  

 

The learner will be able to apply the properties of equality to solve problems involving formulas.

 

  

 

The learner will be able to find the perimeter and area of squares and rectangles.

 

  

 

The learner will be able to use the addition and subtraction properties of equality to solve inequalities.

 

  

 

The learner will be able to use the multiplication and division properties of equality to solve inequalities.

 

  

 

The learner will be able to determine the truth value of compound statements.

 

  

 

The learner will be able to solve verbal problems by translating them into equations and inequalities.

 

  

 

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Factors and Fractions

 

The learner will be able to use the divisibility rules to determine if a number is a factor of another number.

 

  

 

The learner will be able to determine whether an expression is a monomial.

 

  

 

The learner will be able to evaluate expressions containing exponents.

 

  

 

The learner will be able to solve a problem by drawing a diagram.

 

  

 

The learner will be able to identify prime and composite numbers.

 

  

 

The learner will be able to write the prime factorization of a composite number.

 

  

 

The learner will be able to find the greatest common factor (GCF) of two or more integers or monomials.

 

  

 

The learner will be able to simplify fractions by using GCF.

 

  

 

The learner will be able to find the least common multiple (LCM) of two or more numbers.

 

  

 

The learner will be able to compare fractions with unlike denominators by writing equivalent fractions with the LCM as the denominator.

 

  

 

The learner will be able to find the least common denominator of algebraic fractions.

 

  

 

The learner will be able to multiply powers.

 

  

 

The learner will be able to divide powers.

 

  

 

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Rational Numbers

 

The learner will be able to identify and compare rational numbers.

 

  

 

The learner will be able to rename decimals as fractions.

 

  

 

The learner will be able to round decimals and use rounding to estimate sums and differences of decimals.

 

  

 

The learner will be able to add and subtract decimals.

 

  

 

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

 

  

 

The learner will be able to add and subtract fractions with unlike denominators.

 

  

 

The learner will be able to solve equations and inequalities involving rational numbers.

 

  

 

The learner will be able to solve a problem by looking for a pattern.

 

  

 

The learner will be able to identify and extend an arithmetic sequence.

 

  

 

The learner will be able to represent a sequence algebraically.

 

  

 

The learner will be able to convert measures within the customary system and add and subtract customary measures.

 

  

 

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Multiplying and Dividing Rational No.

 

The learner will be able to write fractions as terminating or repeating decimals.

 

  

 

The learner will be able to estimate products and quotients of rational numbers.

 

  

 

The learner will be able to multiply fractions.

 

  

 

The learner will be able to multiply decimals.

 

  

 

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

 

  

 

The learner will be able to divide fractions.

 

  

 

The learner will be able to divide decimals.

 

  

 

The learner will be able to solve equations and inequalities containing rational numbers.

 

  

 

The learner will be able to identify examples of deductive and inductive reasoning.

 

  

 

The learner will be able to recognize and extend geometric sequences.

 

  

 

The learner will be able to represent a geometric sequence algebraically.

 

  

 

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

 

  

 

The learner will be able to compare rational numbers.

 

  

 

The learner will be able to find the circumference of a circle.

 

  

 

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Solving Equations and Inequalities

 

The learner will be able to solve a problem working backwards.

 

  

 

The learner will be able to solve equations that involve two operations.

 

  

 

The learner will be able to solve verbal problems by translating them into two-step equations.

 

  

 

The learner will be able to solve equations with variables on each side.

 

  

 

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

 

  

 

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

 

  

 

The learner will be able to solve verbal problems involving rational numbers by translating them into inequalities.

 

  

 

The learner will be able to convert measures within the metric system.

 

  

 

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Graphing Equations and Inequalities

 

The learner will be able to graph a solution of an equation on a number line.

 

  

 

The learner will be able to graph the solution of an inequality on a number line.

 

  

 

The learner will be able to identify the ordered pair of numbers associated with a point on a grid.

 

  

 

The learner will be able to graph points in a coordinate system.

 

  

 

The learner will be able to find solutions for equations with two variables.

 

  

 

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

 

  

 

The learner will be able to solve a problem using a graph.

 

  

 

The learner will be able to find the slope of a line.

 

  

 

The learner will be able to graph a line equation by using the x-intercept and the y-intercept.

 

  

 

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

 

  

 

The learner will be able to graph linear inequalities on a coordinate system.

 

  

 

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