6 OnTRACK Algebra I: Properties and Attributes of Functions
Students will learn how to use the properties and attributes of functions.
Given broad categories that describe the major goals of the progressive movement and general information about selected issues of the late 1800’s/early 1900’s, students will categorize the issues according to corresponding progressive era goals.
After analyzing primary and secondary resources about the child labor, the students should be able to draw conclusions about the need to reform child labor practices.
Students will describe how Upton Sinclair's The Jungle reflected issues of the Progressive Era.
Given information about Roosevelt’s Square Deal, students will create cause-and-effect diagrams to explain the reasons for and impact of selected reforms sponsored by the Roosevelt administration.
Kid2Kid: Determining the Meaning of Slope and Intercepts
Kid2Kid videos on determining the meaning of slope and intercepts in English and Spanish
Writing Equations to Describe Functional Relationships (Table → Equation)
Given a problem situation represented in verbal or symbolic form, the student will identify functions.
Writing Verbal Descriptions of Functional Relationships
Given a problem situation containing a functional relationship, the student will verbally describe the functional relationship that exists.
Writing Inequalities to Describe Relationships (Graph → Symbolic)
Given the graph of an inequality, students will write the symbolic representation of the inequality.
Writing Inequalities to Describe Relationships (Symbolic → Graph)
Describe functional relationships for given problem situations, and write equations or inequalities to answer questions arising from the situations.
Connecting Multiple Representations of Functions
The student will consider multiple representations of linear functions, including tables, mapping diagrams, graphs, and verbal descriptions.
Writing the Symbolic Representation of a Function (Graph → Symbolic)
Given the graph of a linear or quadratic function, the student will write the symbolic representation of the function.
Determining Parent Functions (Verbal/Graph)
Given a graph or verbal description of a function, the student will determine the parent function.
Determining Reasonable Domains and Ranges (Verbal/Graph)
Given a graph and/or verbal description of a situation (both continuous and discrete), the student will identify mathematical domains and ranges and determine reasonable domain and range values for the given situations.
Interpreting Graphs
Given a graph, the student will analyze, interpret, and communcate the mathematical relationship represented and its characteristics.
Solving Quadratic Equations Using Algebraic Methods
Given a quadratic equation, the student will solve the equation by factoring, completing the square, or by using the quadratic formula.
Quadratics: Connecting Roots, Zeros, and x-Intercepts
Given a quadratic equation, the student will make connections among the solutions (roots) of the quadratic equation, the zeros of their related functions, and the horizontal intercepts (x-intercepts) of the graph of the function.
Using the Laws of Exponents to Solve Problems
Given problem situations involving exponents, the student will use the laws of exponents to solve the problems.
Formulating Systems of Equations (Verbal → Symbolic)
Given verbal descriptions of situations involving systems of linear equations the student will analyze the situations and formulate systems of equations in two unknowns to solve problems.
Solving Quadratic Equations Using Graphs
Given a quadratic equation, the student will use graphical methods to solve the equation.