High School Learning Standards
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MATH
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Algebra 1
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Skill:
Relationships Between Quantities and Reasoning with Equations - Analyze and explain the process of solving an equation, develop fluency writing, interpreting, and translating between forms of linear equations/inequalities, and solve problems.
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Skill:
Linear and Exponential Relationships - students will learn function notation and develop the concepts of domain and range. They move beyond viewing functions as processes of input and output and start viewing functions as objects in their own right.
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Descriptive Statistics - formal means of assessing how a model fits data, regression techniques to describe approximate linear relationships between quantities, graphical representations and knowledge of the context to make judgments about the models.
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Expressions and Equations - extend the laws of exponents to rational exponents, strengthen their ability to see structure and create quadratic and exponential expressions, create and solve equations, inequalities, and systems of equations.
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Quadratic Functions and Modeling - they consider quadratic functions, comparing the key characteristics of quadratic functions to those of linear and exponential functions. They select from among these functions to model phenomena.
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Math Literacy - Students will be able to verbally communicate, listen, and write using conventional standards at grade level.
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Algebra 2
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Skill:
Polynomial, Rational, and Radical Relationships - the arithmetic of rational expressions is governed by the same rules as the arithmetic of rational numbers.
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Trigonometric Functions - Building on their previous work with functions, and on their work with trigonometric ratios and circles in Geometry, students in this inquiry module now use the coordinate plane to extend trigonometry to model periodic phenomena.
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Modeling with Functions - students synthesize and generalize what they have learned about a variety of function families.
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Inferences and Conclusions From Data - identify different ways of collecting data including sample surveys, experiments, and simulations and the role that randomness and careful design play in the conclusions that can be drawn.
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Math Literacy - Students will be able to verbally communicate, listen, and write using conventional standards at grade level.
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AP Calculus AB
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Skill:
P1 - Functions, Graphs and Limits: Functions are tools for describing real-world mathematical situations, ex: motions, waves, cycles, patterns, growths and decays.
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P2 - Derivatives: Rate of change of functions is differential calculus
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P3 - Integrals: Areas under the curve, including infinite and definite integrals
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Skill:
Math Literacy - Students will be ableverbally communicate, listen, and write using conventional standards at grade level
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AP Calculus BC
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Skill:
Functions, Graphs and Limits - Functions are tools for describing real-world mathematical situations, ex: motions, waves, cycles, patterns, growths and decays.
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Skill:
Derivatives - Rate of change of functions is differential calculus
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Skill:
Integrals - Areas under the curve, including infinite and definite integrals
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Skill:
Polynomial Approximations and Series - Series including geometric, harmonic, alternating, recursive, Taylor, and MacLaurin
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Skill:
Math Literacy - Students will be ableverbally communicate, listen, and write using conventional standards at grade level
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Geometry
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Skill:Congruence
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Skill:
Similarity, Right Triangles, and Trigonometry -
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Skill:Circles -
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Expressing Geometric Properties with Equations -
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Skill:
Geometric Measurement and Dimension -
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Skill:
Modeling with Geometry -
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Skill:
Math Literacy - Students will be ableverbally communicate, listen, and write using conventional standards at grade level
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Integrated Math
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Skill:
A1 - Relationships
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Skill:A2 - Linear
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A3 - Descriptive
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A4 - Expressions
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Skill:
G1 - Expression Geometric Properties
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G2 - Geometric Measurement
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G3 - Modeling with Geometry
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G4 - Math Literacy
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Pre-Calculus
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Skill:
Prerequisites - Basic properties of algebra including real numbers, cartesian coordinates, inequalities, complex numbers, and basic functions.
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Skill:
Theory of Polynomial Equations - Understands linear, power, and polynomial functions including how to graph, factor, and model with these.
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Skill:
Logarithms - Understands exponential growth and decay. Able to use logistic modeling with the ability to solve equations with logarithms and exponents.
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Skill:
Trigonometric Functions - Understands trigonometric curves and translations.
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Skill:
Analytic Trigonometry - Understands and proves fundamental trig identities. Will be able to solve real-world problems using applications of trigonometry.
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Skill:
Discrete Mathematics - Can calculate and model probability of different events. Able to identify patterns of sequences and series.
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Skill:
Limits - Introduction to derivatives and integrals which will model change of motion.
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Skill:
Math Literacy - Students will be able to verbally communicate, listen, and write using conventional standards at grade level.
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Statistics
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Skill:
P1 - Interpreting Categorical and Quantitative Data
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Skill:
P2 - Making Inferences and Justifying Conclusions
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Skill:
P3 - Conditional Probability and Rules of Probability
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Skill:
P4 - Using Probability to Make Decisions
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Skill:
Math Literacy - Students will be able to communicate in written and oral forms using conventional standards at grade level.
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