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STANDARD COURSE OF STUDY

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

TECHNICAL MATHEMATICS I

High School Grades

Technical Mathematics 1 continues students’ study of algebra and geometry, building upon middle school and Algebra I topics. Problem solving, measurement, special relationships in right triangles, transformations, and geometric applications of algebra are the topics to be studied in an application-centered environment. Appropriate technology, from manipulatives to calculators and application software, should be used regularly for instruction and assessment.

Prerequisites

  • Apply geometric properties and relationships to solve problems.
  • Use tables, formulas and algebraic expressions to model and solve problems.
  • Define and use linear functions to model and solve problems.
  • Operate with matrices to model and solve problems.


Number and Operations
Competency Goal 1 The learner will apply various strategies to solve problems.
  Objectives

1.01 Apply various techniques and strategies to solve problems.

  1. Select or create an appropriate graphical display for a given set of data.
  2. Identify and represent patterns using appropriate algebraic notation.
  3. Select and apply appropriate formulas.
  4. Choose or create appropriate representations of two- and three-dimensional figures.
Geometry and Measurement
Competency Goal 2 The learner will measure and apply geometric concepts to solve problems.
  Objectives

2.01 Select and use appropriate tools to measure two- and three-dimensional figures; interpret and communicate results with regard to precision.

2.02 Interpret and construct maps and scale drawings to solve problems.

2.03 Use the length, area, and volume of geometric figures to solve problems. Include arc length, area of sectors of circles; lateral area, surface area, and volume of three-dimensional figures; and perimeter, area, and volume of composite figures.

2.04 Use the trigonometric ratios to model and solve problems involving right triangles.
Algebra
Competency Goal 3 The learner will describe the transformation of polygons in the coordinate plane algebraically.
  Objectives

3.01 Apply algebraic and trigonometric concepts to confirm properties of geometric figures in the coordinate plane.

3.02 Describe the transformation (translation, reflection, rotation, dilation) of polygons in the coordinate plane in simple algebraic terms.

3.03 Use matrix operations (addition, subtraction, multiplication, scalar multiplication) to describe the transformation of polygons in the coordinate plane.

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