RATTAN HIGH SCHOOL

CURRICULUM MAP FOR ALGEBRA II

 

MONTH

CONTENT

SKILLS

 

AUG-

SEPT.

NUMBER SYSTEMS

& ALGEBRAIC

OPERATIONS

  • (1.1A) CONVERT EXPRESSIONS FROM RADICAL NOTATIONS TO RATIONAL EXPONENTS AND VICE VERSA.
  • (1.1B)ADD, SUBTRACT, MULTIPLY, DIVIDE, AND SIMPLIFY RADICAL EXPRESSIONS AND EXPRESSIONS CONTAINING RATIONAL EXPONENTS.
  • (1.2A) DIVIDE POLYNOMIAL EXPRESSIONS BY LOWER DEGREE POLYNOMIALS.
  • (1.2B) ADD, SUBTRACT, MULTIPLY, DIVIDE, AND SIMPLIFY RATIONAL EXPRESSIONS, INCLUDING COMPLEX FRACTIONS.
  • (1.3B) ADD, SUBTRACT, MULTIPLY, DIVIDE, AND SIMPLIFY EXPRESSIONS INVOLVING COMPLEX NUMBERS.

 

OCTOBER

RELATIONS AND FUNCTIONS

  • (2.1A) RECOGNIZE THE PARENT GRAPHS OF POLYNOMIAL, EXPONENTIAL, AND LOGARITHMIC FUNCTIONS AND PREDICT THE EFFECTS OF TRANSFORMATIONS ON THE PARENT GRAPHS, USING VARIOUS METHODS AND TOOLS WHICH MAY INCLUDE GRAPHING CALCULATORS.
  • (2.1B) ADD, SUBTRACT, MULTIPLY, AND DIVIDE FUNCTIONS USING FUNCTION NOTATION.
  • (2.1C) COMBINE FUNCTIONS BY COMPOSITION.
  • (2.1D) USE ALGEBRAIC, INTERVAL, AND SET NOTATIONS TO SPECIFY THE DOMAIN AND RANGE OF FUNCTIONS OF VARIOUS TYPES.
  • (2.1E) FIND AND GRAPH THE INVERSE OF A FUNCTION, IF IT EXISTS.

      

NOVEMBER

RELATIONS AND FUNCTIONS

  • (2.2A)MODEL A SITUATION THAT CAN BE DESCRIBED BY A SYSTEM OF EQUATIONS OR INEQUALITIES AND USE THE MODEL TO ANSWER QUESTIONS ABOUT THE SITUATION.
  • (2.2B)SOLVE SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES USING VARIOUS METHODS AND TOOLS WHICH MAY INCLUDE SUBSTITUTION, ELIMINATION, MATRICES, GRAPHING, AND GRAPHING CALCULATORS.
  • (2.2C)USE EITHER ONE QUADRATIC EQUATION AND ONE LINEAR EQUATION OR TWO QUADRATIC EQUATIONS TO SOLVE PROBLEMS.
  • (2.3A)SOLVE QUADRATIC EQUATIONS BY GRAPHING, FACTORING, COMPLETING THE SQUARE, AND QUADRATIC FORMULA.

 

DECEMBER

RELATIONS AND FUNCTIONS

  • (2.3A) CONTINUE FROM ABOVE
  • (2.3B) GRAPH A QUADRATIC FUNCTION AND IDENTIFY X- AND Y- INTERCEPTS AND MAXIMUM OR MINIMUM VALUE, USING VARIOUS METHODS AND TOOLS WHICH MAY INCLUDE A GRAPHING CALCULATOR.
  • (2.3C) MODEL A SITUATION THAT CAN BE DESCRIBED BY A QUADRATIC FUNCTIONAND USE THE MODEL TO ANSWER QUESTIONS ABOUT THE SITUATION.

 

JANUARY

RELATIONS AND FUNCTIONS

  • (2.4) IDENTIFY, GRAPH, AND WRITE THE EQUATIONS OF THE CONIC SECTIONS (CIRCLE, ELLIPSE, PARABOLA, AND HYPERBOLA).
  • (2.5A) GRAPH EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
  • (2.5B) APPLY THE INVERSE RELATIONSHIP BETWEEN EXPONENTIAL AND LOGARITHMIC FUNCTIONS TO CONVERT FROM ONE FORM TO ANOTHER.
  • (2.5C) MODEL A SITUATION THAT CAN BE DESCRIBED BY AN EXPONENTIAL OR LOGARITHMIC FUNCTION AND USE THE MODEL TO ANSWER QUESTIONS ABOUT THE SITUATION.

 

FEBRUARY

RELATIONS AND FUNCTIONS

  • (2.6A)SOLVE POLYNOMIAL EQUATIONS USING VARIOUS METHODS AND TOOLS WHICH MAY INCLUDE FACTORING AND SYNTHETIC DIVISION.
  • (2.6B)SKETCH THE GRAPH OF A POLYNOMIAL FUNCTION.
  • (2.6C)GIVEN THE GRAPH OF A POLYNOMIAL FUNCTION, IDENTIFY THE X- AND Y- INTERCEPTS, RELATIVE MAXIMUMS AND RELATIVE MINIMUMS, USING VARIOUS METHODS AND TOOLS WHICH MAY INCLUDE A GRAPHING CALCULATOR
  • (2.6D) MODEL A SITUATION THAT CAN BE DESCRIBED BY A POLYNOMIAL FUNCTION AND USE THE MODEL TO ANSWER QUESTIONS.
  • (2.7A) SOLVE RATIONAL EQUATIONS.

 

MARCH

RELATIONS AND FUNCTIONS

 

 

DATA ANALYSIS AND STATISTICS

  • (2.7B) SKETCH THE GRAPH OF A RATIONAL FUNCTION.
  • (2.7C) GIVEN THE GRAPH OF A RATIONAL FUNCTION, IDENTIFY THE X-INTERCEPTS AND Y-INTERCEPTS, ASYMPTOTES, USING VARIOUS METHODS AND TOOLS WHICH MAY INCLUDE A GRAPHING CALCULATOR.
  • (2.7D) MODEL A SITUATION THAT CAN BE DESCRIBED BY A RATIONAL FUNCTION AND USE THE  MODEL TO ANSWER QUESTIONS ABOUT THE SITUATION.
  • (3.1A)DISPLAY DATA ON A SCATTER PLOT.
  • (3.1B)INTERPRET RESULTS USING A LINEAR, EXPONENTIAL OR QUADRATIC MODEL/EQUATION.

APRIL  

DATA ANALYSIS AND STATISTICS

  • (3.1C) IDENTIFY WHETHER THE MODEL/EQUATION IS A CURVE OF BEST FIT FOR THE DATA, USING VARIOUS METHODS AND TOOLS WHICH MAY INCLUDE A GRAPHING CALCULATOR.
  • (3.3) IDENTIFY AND USE ARITHMETIC AND GEOMETRIC SEQUENCES AND SERIES TO SOLVE PROBLEMS.

 

EOI REVIEW – SAMPLE ITEMS – SAMPLE TESTS -

 

MAY

PROBLEM SOLVING

  • REVIEW AND REINFORCE MAJOR CONCEPTS DISCUSSED IN ALGEBRA II.