School Improvement in Maryland

Using the State Curriculum: Algebra/Data Analysis

Addtional Topics:Additional Topics is content that may be appropriate for the curriculum but is not included in the Core Learning Goals.

Goal 1 The student will demonstrate the ability to investigate, interpret, and communicate solutions to mathematical and real-world problems using patterns, functions and algebra.

Expectation 1.1 The student will analyze a wide variety of patterns and functional relationships using the language of mathematics and appropriate technology.

Additional Topics

Functions and relations

  • The student will define and interpret relations and functions numerically, graphically, and algebraically.
  • The student will use patterns of change in function tables to develop the concept of rate of change.

Scientific Notation

  • The student will multiply and divide numbers expressed in scientific notation.

Rational numbers

  • The student will read, write and represent rational numbers.
  • The student will compare, order and describe rational numbers.
  • The student will add, subtract, multiply and divide rational numbers.

Exponential patterns

  • The student will identify and extend an exponential pattern in a table of values.

Exponential Function

  • The student will be able to graph an exponential function given as a table of values or as an equation of the form y= a(bx), where a is a positive integer, b>0 and b ≠ 1.

Absolute Value

  • The student will locate the position of a number on the number line, know its distance from the origin is its absolute value and know that the distance between two numbers on the number line is the absolute value of their difference.
  • The student will evaluate expressions containing absolute value.

Polynomial expressions in one or two variables

  • The student will add, subtract, and multiply polynomials.
  • The student will divide a polynomial by a monomial.
  • The student will factor polynomials:
    • Using greatest common factor
    • Using the form ax2 + bx + c
    • Using special product patterns
      1. Difference of squares
        a2 - b2 = (a - b)(a + b)
      2. Perfect square trinomial
        a2 + 2ab + b2 = (a + b)2
        a2 - 2ab + b2 = (a - b)2
  • The student will use the laws of exponents, including negative exponents, to simplify expressions.

Radicals

  • The student will simplify radical expressions with or without variables.

Non-Linear Functions

  • The student will describe the graph of the quadratic, exponential, absolute value, piece-wise, and step functions.
  • The student will solve quadratic equations by factoring and graphing.
/instruction/additional_topics/algebra/grade/xml/algebra_S1_E1.xml