Algebra I

Major focus is placed upon the study of linear functions using a problem solving approach.ther topics include solving equations , relations, functions, basic analytic geometry, radicals, powers and polynomials, operations with real numbers.It includes operations with polynomials and matrices, creation and application of linear functions and relations, algebraic representations of geometric relationships, and an introduction to nonlinear functions.  Appropriate technology, from manipulatives to calculators and application software, should be used regularly for instruction and assessment.

Pre-requisite

• Operate with the real numbers to solve problems.
• Find, identify, and interpret the slope and intercepts of a linear relation.
• Visually determine a line of best fit for a given scatterplot; explain the meaning of the line; and make predictions using the line.
• Collect, organize, analyze, and display data to solve problems.

Textbook: Algebra, Tools for a Changing World, Bass, Prentice Hall, 2001
Recommended Calculator: Scientific Calculator (TI 30 or better)

COMPETENCY GOAL 1: The learner will perform operations with numbers and expressions to solve problems. Objectives:

• Write equivalent forms of algebraic expressions to solve problems.
• Apply the laws of exponents.
• Operate with polynomials.
• Factor polynomials.
• Use formulas and algebraic expressions, including iterative and recursive forms, to model and solve problems.
• Model and solve problems using direct variation.

COMPETENCY GOAL 2: The learner will describe geometric figures in the coordinate plane algebraically. Objectives:

• Find the lengths and midpoints of segments to solve problems.
• Use the parallelism or perpendicularity of lines and segments to solve problems.

COMPETENCY GOAL 3: The learner will collect, organize, and interpret data with matrices and linear models to solve problems. Objectives:

• Use matrices to display and interpret data.
• Operate (addition, subtraction, scalar multiplication) with matrices to solve problems.
• Create linear models for sets of data to solve problems.
• Interpret constants and coefficients in the context of the data.
• Check the model for goodness-of-fit and use the model, where appropriate, to draw conclusions or make predictions.

COMPETENCY GOAL 4: The learner will use relations and functions to solve problems. Objectives:

• Use linear functions or inequalities to model and solve problems; justify results.
• Solve using tables, graphs, and algebraic properties.
• Interpret constants and coefficients in the context of the problem.
• Graph, factor, and evaluate quadratic functions to solve problems.
• Use systems of linear equations or inequalities in two variables to model and solve problems. Solve using tables, graphs, and algebraic properties; justify results.
• Graph and evaluate exponential functions to solve problems.

Technology Learning Outcomes:
The student can

• Solve problems using Accessories (calculator, notepad).
• Analyze a flow chart.