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Transition to CCSS Math What it means and what are the expectations for learning? Middle School Parent Meeting March 26, 2014

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Prepare students to be college and career ready upon graduation Assist students in becoming competitive in a global economy. Goal of the Common Core State Standards for Mathematics

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Background Adopted by the California State Board of Education August 2, 2010 The result of a state-led movement by the National Governors Association and the Council of Chief State School Officers Currently, most states have adopted the Common Core State Standards for Mathematics.

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The Common Core State Standards for Mathematics provide for rigorous curriculum and instruction, conceptual understanding, procedural skill and fluency, and the ability to apply mathematics. About the Common Core Math Standards

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These standards provide focus, coherence, and rigor. Focus implies that instruction should focus deeply on concepts emphasized in the standards so that students can gain strong foundational conceptual understanding, a high degree of procedural skill and fluency, and the ability to apply the mathematics they know to solve problems.

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Coherence arises from mathematical connections. Some of the connections in the standards knit topics together at a single grade level. Most connections are vertical, as the standards support a progression of increasing knowledge, skill, and sophistication across the grades. These standards provide focus, coherence, and rigor.

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Rigor requires that conceptual understanding, procedural skill and fluency, and application be approached with equal intensity.

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Two types of standards: Standards for Mathematical Practice that are the same in each grade level and high school mathematics course. Mathematical Content Standards for each grade level.

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Eight Standards for Mathematical Practice Develop skills in problem solving, reasoning, justification and proof, communication, critiquing the reasoning of others, multiple representations, and making connections. Allow students to understand and apply mathematics with confidence

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K12345678HS Counting and Cardinality Ratios and Proportional Relationships Functions Algebra and Functions Operations and Algebraic ThinkingExpressions and Equations Number and Operations in Base Ten The Number System Number and Quantity Number and Operations Fractions Measurement and DataStatistics and Probability Geometry Content Domains Grades K – 12

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Critical Areas of Instruction - Grade 6 (1) Connecting ratio and rate to whole number multiplication and division, and using concepts of ratio and rate to solve problems (2) Completing understanding of division of fractions and extending the notion of number to the system of rational numbers, which includes negative numbers (3) Writing, interpreting, and using expressions and equations (4) Developing understanding of statistical thinking

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Math 6 Units of Study Unit 1:The Number System Unit 2:Ratios and Proportional Relationships Unit 3:Expressions Unit 4: Equations and Inequalities Unit 5: Geometry (Area and Volume) Unit 6: Statistics Unit 7: The Number System (Rational Explorations: Numbers and their Opposites)

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Critical Areas of Instruction - Grade 7 (1) Developing understanding of and applying proportional relationships (2) Developing understanding of operations with rational numbers and working with expressions and linear equations (3) Solving problems involving scale drawings and informal geometric constructions, and working with two- and three-dimensional shapes to solve problems involving area, surface area, and volume (4) Drawing inferences about populations based on samples

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Math 7 Units of Study Unit 1: Ratios and Proportional Relationships Unit 2: Rational Numbers Unit 3: Expressions and Equations Unit 4: Percent and Proportional Relationships Unit 5: Statistics and Probability Unit 6: Geometry

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Critical Areas of Instruction - Grade 8 (1) Formulating and reasoning about expressions and equations, including modeling an association in bivariate data with a linear equation, and solving linear equations and systems of linear equations (2) Grasping the concept of a function and using functions to describe quantitative relationships (3) Analyzing two- and three-dimensional space and figures using distance, angle, similarity, and congruence, and understanding and applying the Pythagorean Theorem

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Math 8 Units of Study Unit 1: Congruence and Similarity Unit 2: Functions Unit 3: Linear Relationships Unit 4: Linear Equations Unit 5: Exponents Unit 6: Radicals and Irrational Numbers Unit 7: Pythagorean Theorem Unit 8: Simultaneous Linear Equations

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New Assessments Developed by Smarter Balanced Assessment Consortium (SBAC) Very different from the old STAR tests in terms of the test structure, the rigor of the mathematical content, and the delivery system.

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Grade 6 Sample question:

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Grade 6 Sample question

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Grade 7 Sample question:

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Grade 8 Sample question:

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Math Pathways

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Common Core State Standards for Mathematics “These Standards are not intended to be new names for old ways of doing business. They are a call to take the next step. It is time for states to work together to build on lessons learned from two decades of standards based reforms. It is time to recognize that these standards are not just promises to our children, but promises we intend to keep.” ▫National Governors Association Center for Best Practice and Council of Chief State of School Officers (2010)

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Understanding the Common Core State Standards in Mathematics (CCSSM)

Understanding the Common Core State Standards in Mathematics (CCSSM)

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