1. 1 Grade-Level Standards  K-8 grade-by-grade standards organized by domain  9-12 high school standards organized by conceptual categories Common Core State Standards for Mathematics Standards for Mathematical Practice  Describe mathematical “habits of mind”  Standards for mathematical proficiency: reasoning, problem solving, modeling, decision making, and engagement  Connect with content standards in each grade

2. 2 Format of K-8 Mathematics Standards Domains: overarching ideas that connect topics across the grades Clusters: illustrate progression of increasing complexity from grade to grade Standards: define what students should know and be able to do at each grade level

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

4. Grade 6 Overview Understand ratio concepts and use ratio reasoning to solve problems. Apply and extend previous understandings of multiplication and division to divide fractions by fractions. Apply and extend previous understandings of arithmetic to algebraic expressions (solve one-variable equations and inequalities) Solve real-world and mathematical problems involving area, surface area, and volume. Develop understanding of statistical variability; Summarize and describe distributions. 4

5. Grade 7 Overview Analyze proportional relationships Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. Use properties of operations to generate equivalent expressions. Solve real-life and mathematical problems using numerical and algebraic expressions and equations. Draw, construct and describe geometrical figures and describe the relationships between them. Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. Use random sampling to draw inferences about a population. Draw informal comparative inferences about two populations. Investigate chance processes and develop, use, and evaluate probability models. 5

6. Grade 8 Overview Know that there are numbers that are not rational, and approximate them by rational numbers. Work with radicals and integer exponents. Understand the connections between proportional relationships, lines, and linear equations. Analyze and solve linear equations and pairs of simultaneous linear equations. Define, evaluate, and compare functions. Interpret the equation y=mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. Understand congruence and similarity using physical models, transparencies, or geometry software. Understand and apply the Pythagorean Theorem. Solve real-world and mathematical problems involving volume of cylinders, cones and spheres. Investigate patterns of association in bivariate data. 6

7. High School The high school standards specify the mathematics that all students should study in order to be college and career ready. Additional mathematics that students should learn in order to take advanced courses such as calculus, advanced statistics, or discrete mathematics is indicated by (+), as in this example: – Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers). All standards without a (+) symbol should be in the common mathematics curriculum for all college and career ready students. The high school standards are listed in conceptual categories: Number and Quantity, Algebra, Functions, Modeling, Geometry, Statistics and Probability Appendix A 7

8. 8 October 6, 2011 Dr. Eric Milou Rowan University Department of Mathematics Unpacking the Common Core: A Challenge & an Opportunity

9. Domain Grade 6Grade 7Grade 8 Ratios and Proportional Relationships 7–12%22–27%NA The Number System 27–32%7–12%2–7% Expressions and Equations 27–32%18–23%27–32% Functions NA 22–27% Geometry 17–22%25–30%20–25% Statistics and Probability 7–12%15–20% Total 100%

10. Conceptual CategoryMath I Number and Quantity5–10% Algebra22–27% Functions35–40% Geometry10–15% Statistics and Probability 15–20% Total100% Weight Distributions for High School Math I

11. RESOURCES *MASTERYCONNECT.COM-free to join. *App Store –search Common Core; free download from MasteryConnect *http://www.ncpublicschools.org/acre/assessment/online