Curriculum

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Building a High School Credit

Building a High School Credit - Mathematics

Mathematics

Goals for Mathematics credit: State EALRs and District Level 3 Benchmarks will provide guidelines for creating your own personal goals.

Content for credit may be based on a math textbook or equivalent of your choice.

Integrated Mathematics Course Content

Math Strand

Year One

Year Two

Year Three

Algebra

Linear equations

Quadratic equations

Polynomial functions

Linear inequalities

Linear systems

Exponential functions

Multiplying binomials

Rational equations

Logarithmic functions

Factoring expressions

Complex numbers

Parametric equations

Geometry

Angles, polygons, circles

Similar and congruent figures

Inscribed figures

Perimeter, circumference

Geometric proofs

Transforming graphs

Area, surface area

Coordinate geometry

Vectors

Volume

Transformational geometry

Triangle trigonometry

Trigonometric ratios

Special right triangles

Circular trigonometry

Statistics, Probability

Analyzing data and displaying data

Sampling methods

Variability

Experimental and theoretical probability

Simulation

Standard deviation

Geometric probability

Binomial distributions

Z-scores

Logical Reasoning

Conjectures

Inductive and deductive reasoning

Identities

Counterexamples

Valid and invalid reasoning

Contrapositive and inverse

If-then statements

Postulates and proof

Comparing proof methods

Discrete Mathematics

Discrete quantities

Matrix operations

Sequences and series

Matrices to display data

Transformation matrices

Recursion, limits

Algebra I/ Geometry/Algebra II Sequence Course Content

Algebra I

Geometry

Algebra II

Linear equations

Angles, polygons, circles

Quadratic equations

Linear inequalities

Perimeter, circumference

Polynomial functions

Multiplying binomials

Area, surface area

Logarithmic functions

Factoring expressions

Volume

Complex numbers

Experimental and theoretical probability

Transformational geometry

Exponential functions

Linear systems

Geometric probability

Parametric equations

Rational equations

Valid & invalid reasoning

Binomial distributions

Analyzing data & displaying data

Similar & congruent figures

Sequences and series

Quadratic equations

Trigonometric ratios

Z-scores

Recursion

Geometric proofs

 

Matrix operations

Coordinate geometry

 

 

Special right triangles

 

 

Postulates & proof

 

 

Inductive & deductive reasoning

 

 

Identities

 

 

Transforming graphs

 

 

Vectors

 

 

Triangle trigonometry

 

 

Circular trigonometry

 

 

Contra positive & inverse

 

A high school math credit should also include one or more of the following:

  1. A project that highlights the math of a real world application (i.e. music, art, dance, architecture, aviation, engines, business plan, sports, career interest, etc.)
  2. A learning experience created by you that helps others learn math skills.
  3. A personal reflection about a math learning experience at EHRC or other place where you tutored, assisted in a class, or similar situation.
  4. A solution to a unique problem applying the skills from a given math strand.

Ideas for Completion Indicators:

  • Portfolio of work
  • Evaluations by teacher/parent/mentor
  • Self-evaluations
  • Discussions, reflective journal
  • Technology projects
  • Artwork, constructionist projects
  • Tests-objective, essay