Eighth Grade Mathematics Content Standards

Students demonstrate conceptual understanding and computational accuracy.

Students use problem solving approaches to investigate and understand mathematical content.

Students communicate their understanding of mathematics by reflecting on and clarifying their thinking about mathematical ideas and situations.

Eighth GRADE STUDENTS ARE EXPECTED TO:

• Geometry
  • Recognize parallel and perpendicular lines
  • Recognize adjacent and vertical angles
  • Identify and find the measure of supplementary and complementary angles
  • Identify and know the properties of squares, rectangles, parallelograms, rhombuses, and trapezoids
  • Recognize reflective and rotational symmetry
  • Transform figures by means of reflection, rotation, and translation
  • Review recognition of different types of triangles
  • Recognize the characteristics of three dimensional figures
  • Calculate volume of three dimensional figures such as cylinders and prisms
  • Construct three dimensional figures
• Linear and exponential growth
  • Find both addition growth numbers and multiplication growth numbers
  • Demonstrate modeling of actual data using a growth number model
  • Recognize the difference between graphs of linear growth and exponential growth
  • Find roots of numbers using a calculator
• Algebra
  • Be able to simplify expressions by combining like terms
  • Differentiate between rational and irrational numbers
  • Use the conventional order of operations to simplify and/or evaluate numerical and algebraic expressions
  • Perform the distributive property to simplify expressions
  • Represent the distributive property using physical models
  • Solve one, two, and three step equations containing a variable (algebraic equations)
  • Write and solve algebraic equations from word problems
  • Evaluate algebraic expressions using substitution
  • Solve inequalities and graph the solutions
  • Recognize, graph and evaluate functions
• Measurement
  • Convert values of length, area and volume from the metric system to customary units and back
  • Perform dimensional analysis to determine the final units of a calculated value
  • Recognize the different levels of precision in measurement
  • Express results to a reasonable degree of accuracy
• Scientific notation and exponents
  • Convert a very small or a very large number from scientific notation to standard form
  • Demonstrate an understanding of why scientific notation is useful
  • Manipulate a calculator to perform scientific notation calculations
  • Use the four basic arithmetic operations with numbers in scientific notation
  • Recognize and evaluate negative exponents
• Signed numbers
  • Write inequalities and graph them
  • Perform the four arithmetic operations with positive and negative fractions and other rational numbers
  • Calculate powers and roots of signed numbers
  • Define and determine absolute values
  • Perform the four arithmetic operations with positive and negative numbers

ALGEBRA STUDENTS ARE EXPECTED TO:

• Use and identify properties of arithmetic
• Use the rules of roots, exponents, powers, and reciprocals
• Solve equations with absolute values
• Simplify complex expressions such as 3(2x-5) + 4(x-2)
• Solve and justify multistep problems using linear equations and inequalities
• Graph equalities and inequalities
• Derive equations in standard form from point slope formula, verify equation from two given points on that line
• Understand the concepts of parallel and perpendicular lines and how their slopes are related
• Find the equation of a line perpendicular to a given line at a given point
• Solve systems of equations with two variables with equations and graphs
• Perform operations with polynomials
• Apply basic factoring techniques to second degree polynomials
• Perform operations with rational expressions
• Derive and use quadratic equation
• Solve rate, work, gravity and percent mixture problems using fundamental algebraic techniques
• Define, identify and use functions
• Define, identify and use dependent and independent variables
• Use the quadratic formula to find roots of the second degree
• Use and know aspects of a logical argument
• Use properties of the number system to judge the validity of results
• Use properties of the number system to justify each step of a procedure
• Use properties of the number system to prove or disprove statement
• Solve word problems that use factoring and equation-solving techniques

[ Up ] [ Literacy ] [ Mathematics ] [ Science ] [ Social Studies ] [ Foreign Language ] [ Visual Arts ] [ Instrumental Music ] [ Vocal Music ] [ Technology ]