Algebra+Clarification+Documents

The Algebra strand of the Mathematics High School Content Expectations was written to provide guidelines for planning instructional units, not as either a curriculum or an assessment document. It does not systematically develop ideas as as a curriculum would and, more importantly, the HSCE do not present topics sequentially. The three standards should not be viewed as a progression, but as the different components of what it means to understand a function.

The expectations continue the functions approach to algebra that was introduced in the GLCE. As in the middle grades, students are expected to move easily between the symbolic, graphical, tabular, and verbal forms of a given function. Below is a table showing the GLCE algebra connections to the HSCE for Algebra I.
 * [[file:6-Alg I Cross Grade.pdf]]**

We assume that students will be fluent (that is, efficient and accurate) in calculation with the basic number operations involving rational numbers in all forms (including percentages and decimals), without calculators upon entering high school. In fulfilling the HSCE, students may use calculators for many purposes, sometimes for numerical calculations, but especially as tools for exploring and understanding the more advanced mathematical relationships included in the HSCE.

These documents are organized by **standard** and **topic.** They all contain the clarification information including links to clarifiying activities and examples. They have been arranged below to show the connections between all 3 of the standards. Standard A2 represents functions in general. The topics and expectations in this standard are developed over time through the work of Standards A1 and A3.

More information can be found in the discussion section.

EXPRESSIONS, EQUATIONS AND__** **__INEQUALITIES__**
 * **__STANDARD A1:



|| **__STANDARD A2: FOUNDATIONS AND APPLICATIONS OF FUNCTIONS__** [|A214-Motion Detector]



Mathematical Modeling website http://ed.uno.edu/Faculty/ATalmadge/M3/M3%20Main%20Page.htm || **__STANDARD A3: FAMILIES OF FUNCTIONS__ **

Topic A3.6 Rational Functions** [|A36 Examples and Activities.doc]

[|A37 Examples and Activities.doc] ||
 * Topic A3.7 Trigonometric Functions**

Algebra Documents in Word format
Topic A1.1:** **Construction, Interpretation, and Manipulation of Expressions**
 * __STANDARD A1: EXPRESSIONS, EQUATIONS AND INEQUALITIES__


 * Topic A1.2:** **Solutions of Equations and Inequalities**

__**STANDARD A2: FUNCTIONS**__
 * Topic A2.1: Definitions, Representations, and Attributes of Functions**


 * Topic A2.2: Operations and Transformations with Functions**


 * Topic A2.3: Representations of Functions**


 * Topic A2.4: Models of Real-world Situations Using Families of Functions**


 * __STANDARD A3: FAMILIES OF FUNCTIONS__**
 * Topic A3.1** **Lines and Linear Functions**


 * Topic A3.2 Exponential and Logarithmic Functions**


 * Topic A3.3 Quadratic Functions**


 * Topic A3.4: Power Functions**


 * Topic A3.5: Polynomial Functions**


 * Topic A3.6 Rational Functions**


 * Topic A3.7 Trigonometric Functions**