Students have been exposed to the equation has one real and two complex quadratic formula and solutions that are roots. square roots of negative numbers. (Algebra 1 Unit 2, 4 and 5) Students subtracted, multiplied and Polynomials Polynomials are the foundation of the factored polynomials. (Algebra 1 Unit 4) Understand and Manipulate higher level mathematical studies. For Polynomial Expressions example in Calculus students will need to Students have recognized types of Solve Polynomial Equations Using be able to determine which values of “x” relationships that are in linear and Algebraic and Graphic Techniques will make a polynomial expression take on exponential models. (Algebra 1 Unit 3) a positive value a negative value or a value of zero. Students have used the process of factoring and completing the square in the quadratic function to show extreme values, and symmetry of the graph, and interpret these in terms of a context. (Algebra 1 Unit 5) Students have used exponential functions to model arithmetic and geometric sequences. (Algebra 1 Unit 2) Students have simplified radicals. (8th Radicals Students will need to make use of formulas Grade Expressions and Equations) Interpret Radical Expressions which contain radicals. The use of such – Radical Equations formulas will require students to be adept at Students have translated between radical manipulating and understanding radical and exponential notation. (Algebra 1 Unit 2) expressions.
Students have been exposed to the quadratic formula and solutions that are square roots of negative numbers. (Algebra 1 Unit 2, 4 and 5) equation has one real and two complex roots. Students subtracted, multiplied and factored polynomials. (Algebra 1 Unit 4) Students have recognized types of relationships that are in linear and exponential models. (Algebra 1 Unit 3) Students have used the process of factoring and completing the square in the quadratic function to show extreme values, and symmetry of the graph, and interpret these in terms of a context. (Algebra 1 Unit 5) Students have used exponential functions to model arithmetic and geometric sequences. (Algebra 1 Unit 2) Polynomials Understand and Manipulate Polynomial Expressions Solve Polynomial Equations Using Algebraic and Graphic Techniques Polynomials are the foundation of the higher level mathematical studies. For example in Calculus students will need to be able to determine which values of “x” will make a polynomial expression take on a positive value a negative value or a value of zero. Students have simplified radicals. (8th Grade – Expressions and Equations) Students have translated between radical and exponential notation. (Algebra 1 Unit 2) Radicals Interpret Radical Expressions Radical Equations Students will need to make use of formulas which contain radicals. The use of such formulas will require students to be adept at manipulating and understanding radical expressions.
unitplan_polynomialrational_and_radical_relationships.docx