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School City of Hobart
School City of Hobart Mathematics
Mathematics - IN: Precalculus
Goals and Descriptions
Mathematics

The ISTEP+ assessment measures the academic performance of students in Mathematics.

The Indiana Academic Standards provide educators and administrators with a complete set of Indiana's K-12 academic standards for Mathematics. Schools should work to align curriculum instruction and classroom assessment with the new standards. While the standards set expectations for student learning they do not prescribe how the standards should be taught.

Teachers should use their skills, experience, talents, and resources to design classroom lessons to meet the individual needs of their students. With these new academic standards in place students in Indiana will be well equipped with the skills and knowledge to prepare them for the future.

IN: Precalculus

The Indiana Academic Standards for Mathematics include standards for students in Precalculus.

Trigonometry is sometimes taught alone as a one-semester course, but is more often included in a Precalculus course. Therefore, the Standards for Trigonometry are contained within those for Precalculus and consist of the following Precalculus standards: Standard 3, Standard 4, Standard 5, Standard 6, and Standard 9.

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Algebraic Concepts

The Algebraic Concepts Unit includes Competencies/Objectives which focus on algebraic equations and operations. Students explore the symbolic nature of algebraic concepts by identifying and extending patterns in algebra, by following algebraic procedures, and by proving theorems with properties.

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Calculus and Pre-Calculus

The Calculus/Pre-Calculus Unit includes Competencies/Objectives which focus on calculus concepts. Students study limits, matrix algebra, functions, vectors, conic sections, mathematical induction, and sequence and series using graphical calculators, computers, and models.

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Data Interpretation

The Data Interpretation Unit includes Competencies/Objectives which focus on the study and use of graphical forms. Students collect and classify data, organize and display data, use logical reasoning, and problem solving.

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Functions

The Functions Unit includes Competencies/Objectives which focus on exploring polynomial, rational, exponential, logarithmic, trigonometric, and circular functions.

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Geometry

The Geometry Unit includes Competencies/Objectives which focus on exploring geometric concepts from multiple perspectives. Students study properties and construction of figures, proofs and theorems, history of geometry, transformations, logic, and problem solving.

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Mathematics Processes

The Mathematics Processes Unit includes Competencies/Objectives which focus on mathematical connections. Students communicate and model concepts and procedures.

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Numeration

The Numeration Unit includes Competencies/Objectives which focus on exploring ordinality, identifying and extending number patterns, comparing numbers, and demonstrating number relationships.

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Probability/Statistics

The Probability/Statistics Unit includes Competencies/Objectives which focus on data analysis and probability concepts. Students collect, analyze, and make sense of real world data (including overlapping data, inconclusive data, etc.).

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Problem Solving

The Problem Solving Unit includes Competencies/Objectives which focus on analyzing problems, evaluating solutions, exploring problems, and developing strategies for solving problems.

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Real Numbers and the Coordinate Plane

The Real Numbers and the Coordinate Plane Unit includes Competencies/Objectives which focus on graphing concepts. Students graph equations and make connections between algebraic concepts and their geometric correspondences.

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Trigonometry

The Trigonometry Unit includes Competencies/Objectives which focus on trigonometric concepts. Students study triangles, trigonometric ratios, and triangle measurements; apply triangle properties; and solve right triangle problems.

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