1. A Secondary Mathematics Progression Expressions, Equations and Functions

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

3. CCSS Domain Progression K12345678HS 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

4. 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

5. Major Work

8. 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

9. 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

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

11. 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

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

13. 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

15. Questions?

16. Assessment Samples

17. Assessment Samples - Expressions

20. Math I Released Example

21. Assessment Sample - Equations

24. Math I Released Assessment Item

25. Assessment Samples - Functions 6 th Grade Released Example

27. 8 th Grade Released Assessment Item

28. Math I Released Assessment Item