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STANDARD COURSE OF STUDY

MATHEMATICS :: 2003 :: TO BE IMPLEMENTED 9-12 :: ALGEBRA I

ALGEBRA I

High School Grades

Algebra 1 continues the study of algebraic concepts. 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. Students will be expected to describe and translate among graphic, algebraic, numeric, tabular, and verbal representations of relations and use those representations to solve problems. Appropriate technology, from manipulatives to calculators and application software, should be used regularly for instruction and assessment.

Prerequisites

  • 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.
  • Apply the Pythagorean Theorem to solve problems.


Number and Operations
Competency Goal 1 The learner will perform operations with numbers and expressions to solve problems.
  Objectives

1.01 Write equivalent forms of algebraic expressions to solve problems.

  1. Apply the laws of exponents.
  2. Operate with polynomials.
  3. Factor polynomials.

1.02 Use formulas and algebraic expressions, including iterative and recursive forms, to model and solve problems.

1.03 Model and solve problems using direct variation.
Geometry and Measurement
Competency Goal 2 The learner will describe geometric figures in the coordinate planealgebraically.
  Objectives

2.01 Find the lengths and midpoints of segments to solve problems.

2.02 Use the parallelism or perpendicularity of lines and segments to solve problems.
Data Analysis and Probability
Competency Goal 3 The learner will collect, organize, and interpret data with matrices and linear models to solve problems.
  Objectives

3.01 Use matrices to display and interpret data.

3.02 Operate (addition, subtraction, scalar multiplication) with matrices to solve problems.

3.03 Create linear models for sets of data to solve problems.

  1. Interpret constants and coefficients in the context of the data.
  2. Check the model for goodness-of-fit and use the model, where appropriate, to draw conclusions or make predictions.
Algebra
Competency Goal 4 The learner will use relations and functions to solve problems.
  Objectives

4.01 Use linear functions or inequalities to model and solve problems; justify results.

  1. Solve using tables, graphs, and algebraic properties.
  2. Interpret constants and coefficients in the context of the problem.

4.02 Graph, factor, and evaluate quadratic functions to solve problems.

4.03 Use systems of linear equations or inequalities in two variables to model and solve problems. Solve using tables, graphs, and algebraic properties; justify results.

4.04 Graph and evaluate exponential functions to solve problems.

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