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A Secondary Mathematics Progression Expressions, Equations and Functions

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Outcomes An understanding of the mathematical progressions. An example of a mathematical progression for expressions, equations and functions in secondary mathematics.

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CCSS Domain Progression K HS Counting & Cardinality Number and Operations in Base Ten Ratios and Proportional Relationships Number & Quantity Number and Operations – Fractions The Number System Operations and Algebraic Thinking Expressions and EquationsAlgebra Functions Geometry Measurement and DataStatistics and Probability Statistics & Probability Domains Conceptual Categories

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NC EOG/EOC Assessment Specifications 6 th Grade7 th Grade8 th GradeHS Math 1 The Number System 27-32% The Number System 30 The Number System 6 Number & Quantity 6.1 Expressions & Equations 27-32% Expressions & Equations 30 Expressions & Equations 32 Algebra 30.6 Ratios & Proportional Relationships 12-17% Ratios & Proportional Relationships 14 Functions 24 Functions 37.7 Geometry 12-17% Geometry 16 Geometry 22 Geometry 10.2 Statistics & Probability 7-12% Statistics & Probability 10 Statistics & Probability 16 Statistics & Probability 15.3

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Major Work

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Section 1 - Expressions Numeric expressions in upper elementary and lower middle school mathematics Numeric and algebraic expressions in middle school Complex algebraic expressions in high school and beyond

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Numeric to Algebraic Expressions K-8 th Grades K-3 rd Numeric Expressions 3-6 th Grade Patterns and Sequences 5-7 th Grade Expressions 8 th Grade Expressions w/ exponents HS Math High School Complex Algebraic Expressions

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Section 2 – Equations Equations in K-12 mathematics –Linear –Quadratic –Exponential –Trigonometric –Radical –Rational Simultaneous equations in 8-12 mathematics

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Equivalent Expressions to Equations 6 th -8 th Grades 6 th One-step equations 7 th Grade Ratios and Proportions 8 th Grade – HS Mathematics Systems of Equations 7 th - HS Mathematics Multi-step equations Math I-III Math II and III Simple trig, absolute value and simple rational equations Math III Advanced Trigonometric and Logarithmic equations

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Section 3 – Functions From patterns and relations to functions Defining a relationship between two quantities as a function Modeling functions Interpreting functions Comparing functions

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Equations to Functions 8 th Grade – Math III 8 th Grade Functions & Linear Functions Math I Linear, Quadratic and Exponential Functions Math II More complex Quadratic and Simple Rational functions Math III Rational, Radical & Trig Functions

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Questions?

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Assessment Samples

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Assessment Samples - Expressions

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Math I Released Example

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Assessment Sample - Equations

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Math I Released Assessment Item

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Assessment Samples - Functions 6 th Grade Released Example

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8 th Grade Released Assessment Item

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Math I Released Assessment Item

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