HSN-RN.A Extend the properties of exponents to rational exponents

• Rational Exponents & Radicals

  Evaluate expressions with rational exponents and convert between radical and exponent form.

  HSN-RN.A.1 HSN-RN.A.2
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HSN-RN.B Use properties of rational and irrational numbers

• Rational & Irrational Numbers

  Classify sums and products of rational and irrational numbers and explain why irrationality is preserved.

  HSN-RN.B.3
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HSA-SSE.A Interpret the structure of expressions

• Polynomial Operations

  Add, subtract, and multiply polynomials.

  HSA-SSE.A.1
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• Factoring Polynomials

  Factor quadratics using GCF, trinomial factoring, and special products.

  HSA-SSE.A.2
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HSA-SSE.B Write expressions in equivalent forms to solve problems

HSA-APR.A Perform arithmetic operations on polynomials

HSA-APR.B Understand the relationship between zeros and factors of polynomials

• Zeros of Polynomials

  Find zeros of polynomials from factored form and by factoring.

  HSA-APR.B.3
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HSA-CED.A Create equations that describe numbers or relationships

• Modeling with Equations

  Write one- and two-variable equations from word problems and represent real-world constraints algebraically.

  HSA-CED.A.1 HSA-CED.A.2 HSA-CED.A.3
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• Solving Linear Equations

  Rearrange formulas to solve for any variable and solve linear equations whose coefficients are themselves letters.

  HSA-CED.A.4
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HSA-REI.A Understand solving equations as a process of reasoning and explain the reasoning

HSA-REI.B Solve equations and inequalities in one variable

• Solving Quadratics by Factoring

  Solve quadratic equations by factoring.

  HSA-REI.B.4
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• Completing the Square

  Solve quadratic equations by completing the square.

  HSA-REI.B.4
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• The Quadratic Formula

  Solve quadratic equations using the quadratic formula.

  HSA-REI.B.4
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HSA-REI.C Solve systems of equations

• Systems of Linear Equations

  Solve systems of linear equations by substitution and elimination.

  HSA-REI.C.5 HSA-REI.C.6
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HSA-REI.D Represent and solve equations and inequalities graphically

• Graphing Linear Inequalities

  Describe graphs of linear inequalities and test points against solution regions.

  HSA-REI.D.10 HSA-REI.D.11 HSA-REI.D.12
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HSF-IF.A Understand the concept of a function and use function notation

• Function Notation & Domain

  Evaluate functions, determine domains, and identify key features.

  HSF-IF.A.1 HSF-IF.A.2
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HSF-IF.B Interpret functions that arise in applications in terms of the context

HSF-IF.C Analyze functions using different representations

• Equivalent Forms of Quadratics

  Rewrite quadratic functions in vertex form to reveal the vertex and in factored form to reveal the zeros.

  HSF-IF.C.7 HSF-IF.C.8
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HSF-BF.A Build a function that models a relationship between two quantities

• Arithmetic & Geometric Sequences

  Find terms and formulas for arithmetic and geometric sequences.

  HSF-BF.A.1 HSF-BF.A.2
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HSF-BF.B Build new functions from existing functions

• Function Transformations

  Describe how translations, reflections, and stretches affect graphs.

  HSF-BF.B.3
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HSF-LE.A Construct and compare linear, quadratic, and exponential models and solve problems

• Linear & Exponential Models

  Distinguish linear from exponential growth, build models, and interpret parameters.

  HSF-LE.A.1 HSF-LE.A.2 HSF-LE.A.3
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HSF-LE.B Interpret expressions for functions in terms of the situation they model

HSS-ID.A Summarize, represent, and interpret data on a single count or measurement variable

• Center, Spread & Outliers

  Compute standard deviation, compare data sets using center and spread, and analyze the effect of outliers.

  HSS-ID.A.1 HSS-ID.A.2 HSS-ID.A.3
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HSS-ID.B Summarize, represent, and interpret data on two categorical and quantitative variables

HSS-ID.C Interpret linear models

• Data Analysis & Linear Models

  Analyze two-way tables, find and interpret lines of best fit, and distinguish correlation from causation.

  HSS-ID.C.7 HSS-ID.C.8 HSS-ID.C.9
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