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Community Where Teachers Can Teach
Community Where Students Can Learn |
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Grade 8 Math |
 This
section contains math topics which an adolescent 14 years of age might learn
while attending grade 8 at middle school in the United States. Curriculum is
based on state and national content standards. |
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Algebra I - Symbolic
reasoning and calculations with symbols are central in
algebra. Through the study of algebra, a student develops an
understanding of the symbolic language of mathematics and
the sciences. In addition, algebraic skills and concepts are
developed and used in a wide variety of problem-solving
situations. |
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Geometry - The geometry
skills and concepts developed in this discipline are useful
to all students. Aside from learning these skills and
concepts, students will develop their ability to construct
formal, logical arguments and proofs in geometric settings
and problems. |
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Curriculum -
Grade 8 Math |
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Algebra I
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Identify and use arithmetic properties
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Use properties of numbers
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Understand and use some operations and use the rules of exponents
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Solve equations and inequalities involving absolute values
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Simplify expressions before solving linear equations
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Solve multistep problems, including word problems
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Graph a linear equation and compute the x- and y-intercepts
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Verify that a point lies on a line, given an equation of the line
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Understand the concepts of parallel lines and perpendicular lines
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Solve a system of two linear equations in two variables
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Add, subtract, multiply, and divide monomials and polynomials
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Apply basic factoring techniques to polynomials
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Simplify fractions with polynomials in the numerator and denominator
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Add, subtract, multiply, and divide rational expressions and functions
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Solve a quadratic equation by factoring or completing the square
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Apply algebraic techniques to solve rate problems
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Understand the concepts of a relation and a function
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Determine domain independent variables, range dependent variables
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Determine whether a relation is a function and justify the conclusion
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Know the quadratic formula
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Use the quadratic formula to find the roots of a polynomial
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Graph quadratic functions and know their roots are the x-intercepts
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Use the quadratic formula or factoring techniques
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Apply quadratic equations to physical problems
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Use and know simple aspects of a logical argument
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Explain the difference between inductive and deductive reasoning
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Identify the hypothesis and conclusion in logical deduction
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Use counterexamples to show that an assertion is false
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Use properties of the number system to judge the validity of results
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Use properties of numbers to construct simple, valid arguments
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Judge the validity of an argument
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Determine whether a statement is true sometimes, always, or never
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