ALGEBRA I STANDARDS

The following 4 topics will NOT be used on the Algebra 1 test: 

The following topics may be covered on the Algebra 1 test. 

  1. Compare and contrast the real number system and it various subsystems with regard to their structural characteristics. 

  2. Demonstrate an understanding of algebraic procedures and symbolism. 

  3. Use algebraic and related strategies to solve problems. 

  4. Demonstrate an understanding of the geometry associated with equations and inequalities.

GEOMETRY STANDARDS

  1. Demonstrate an understanding of the terminology and fundamental properties of geometry. 

  2. Use geometric models to represent and solve problems. 

  3. Develop an understanding of an axiomatic system.  

  4. Compare and contrast the relationships between plane and solid geometry. 

  5. Demonstrate an understanding of the transformational and coordinate geometry. 

  6. Compare and contrast Euclidean and non-Euclidean geometries. 

ALGEBRA II STANDARDS

  1. Real numbers and properties 

  2. Equations and inequalities 

  3. Linear equations and inequalities 

  4. Systems 

  5. Radicals and irrational numbers 

  6. Polynomial functions and rational expressions 

  7. Exponents and Logarithms 

  8. Conics 

  9. Sequences and Series 

  10. Permutations, combinations and probability 

  11. Matrices 

  12. Topics from geometry may compose up to 20% of the test. 

PRECALCULUS STANDARDS

  1. Demonstrate an understanding of the theory of functions. 

  2. Demonstrate an understanding of connection between circular and trigonometric functions and their inverses. 

  3. Demonstrate an understanding of the trigonometric identities. 

  4. Demonstrate the ability to apply trigonometry to problem solving situations. 

  5. Demonstrate the ability to solve a variety of trigonometric (circular) equations. 

  6. Demonstrate an understanding of conic sections and loci. 

  7. Demonstrate an understanding of the relationship between exponential and logarithmic functions and their application to problem situations. 

  8. Demonstrate the ability to solve problems using concepts from matrix algebra.  

  9. Demonstrate the ability to solve problems using vectors. 

  10. Demonstrate an understanding of polynomial and rational functions; their parametric equations and their graphs. 

  11. Demonstrate an understanding of graphs in the polar coordinate system and their relation to the Cartesian coordinate system.

  12. Demonstrate understanding of mathematical induction and sequences and series. 

  13. Demonstrate the ability to solve problems using probability and statistics. 

  14. Demonstrate an understanding of the concept of limits and its applications. 

CALCULUS STANDARDS

  1. Demonstrate the ability to identify and apply properties of algebraic; trigonometric; exponential; and logarithmic functions. 

  2. Demonstrate the ability to apply the concept of limits to functions. 

  3. Demonstrate the ability to find derivatives of algebraic; trigonometric; exponential; and logarithmic functions. 

  4. Demonstrate the ability to find derivatives of the inverse of a function. 

  5. Demonstrate the ability to define relation between differentiability and continuity. 

  6. Demonstrate the ability to apply derivatives to find the slope of a curve and tangent and normal lines to a curve. 

  7. Demonstrate the ability to identify increasing and decreasing functions; relative and absolute maximum and minimum points; concavity; and points of inflection. 

  8. Demonstrate the ability to find antiderivatives. 

  9. Demonstrate the ability to apply antiderivatives to solve problem related to motion of bodies. 

  10. Demonstrate the ability to use the techniques of integration. 

  11. Demonstrate the ability to find approximation to definite integrals using rectangles. 

  12. Demonstrate the ability to apply knowledge of integral calculus to find the area between curves and the volume of a solid of revolution. 

STATISTICS STANDARDS

  1. Exploring Data 

    1. Interpreting graphs of distributions of one variable data (stemplot, histogram) 

    2. Summarizing distributions of one variable data 

    3. Comparing distributions of one variable data 

    4. Exploring two-variable data sets 

  2. Planning a Study 

    1. Overview of methods of data collection 

    2. Planning and Conducting Surveys 

    3. Planning and Conducting Experiments 

  3. Anticipating Patterns: Models Using Probability and Simulation 

    1. Probability 

    2. Combining independent random variables 

    3. Normal Distributions 

    4. Sample Distribution  

  4. Statistical Inference: Confirming Models 

    1. Confidence Intervals 

    2. Significance Testing 

    3. Special cases of normally distributed data