Common Core State Standards Defining the core: A whole new way of learning Broward County Public Schools Elementary Math Contact Meeting August 15, 2012

Become familiar with the shifts, practices and progressions key to the CCSS for Mathematics. Understand the District implementation and roll out process. Become familiar with the District professional learning plan, including the communication web site. Listen to your feedback and questions regarding the CCSS Math implementation. Enhance knowledge base of the Common Core Standards for Mathematics. 2 Expected Outcomes

CCSS-Math District Support Team

Sample 3 rd Grade Assessment item aligned to CCSS

Sample 4 th Grade Assessment Item aligned to CCSS Pablo solved a multiplication problem using two different methods. He made a mistake in either Method W or Method Z.

Sample 5 th Grade Performance Task aligned to CCSS What is a reasonable height for Branden at age 2? centimeters

Sample 8 th Grade Performance Task aligned to CCSS

Number and Operations in Base Ten 5.NBT Perform operations with multi-digit whole numbers and with decimals to hundredths. NGSSS vs. CCSS Content Standards Grade 6: BIG IDEA 1 Develop an understanding of and fluency with multiplication and division of fractions and decimals. NGSSS CCSS Number and Operations—Fractions 5.NF Apply and extend previous understandings of multiplication and division to multiply and divide fractions. The Number System 6.NS Apply and extend previous understandings of multiplication and division to divide fractions by fractions.

Grade 5 Supporting Idea: Geometry and Measurement Identify and plot ordered pairs on the first quadrant of the coordinate plane. NGSSS vs. CCSS Content Standards NGSSS CCSS Grade 4 Supporting Idea: Algebra Generate algebraic rules and use all four operations to describe patterns, including nonnumeric growing or repeating patterns. Analyze patterns and relationships. Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.

Focus More time on fewer things at any grade level Shifts in Mathematical Instructional Strategies

K 12 Number and Operations Measurement and Geometry Algebra and Functions Statistics and Probability Traditional U.S. Approach (SSS Strands) 31 e.g. Adding and Subtracting Fractions… e.g. Mean, Median, Mode, (Range)…

NGSSS Big Ideas (5 th Grade) BIG IDEA 1: Develop an understanding of and fluency with division of whole numbers. BIG IDEA 2: Develop an understanding of and fluency with addition and subtraction of fractions and decimals. BIG IDEA 3: Write, interpret, and use mathematical expressions and equations.

CCSS Domains Operations in Base Ten, Fractions, & Measurement Key Areas of Focus in Mathematics for Grade 5

Focus Coherence More time on fewer things at any grade level Connect the learning within and across grades Shifts in Mathematical Instructional Strategies

Operations and Algebraic Thinking Number and Operations- Base Ten Number and Operations- Fractions Expressions and Equations The Number System Algebra K High School One progression of Common Core State Mathematics Standards

Algebra: Reasoning with Equations and Inequalities (A-REI.1-12) Understand solving equations as a process of reasoning and explain the reasoning Solve equations and inequalities in one variable Solve systems of equations Represent and solve equations and inequalities graphically 8.EE.7-8 Analyze and solve linear equations and pairs of simultaneous linear equations. 7.EE.3-4 Solve real-life and mathematical problems using numerical and algebraic expressions and equations. 6.EE.5-8 Reason about and solve one-variable equations and inequalities. 5.OA.1-2 Write and interpret numerical expressions. 4.OA.1-3 Use the four operations with whole numbers to solve problems. 3.OA.1-4 Represent and solve problems involving multiplication and division. 2.OA.1 Represent and solve problems involving addition and subtraction. 1.OA.7-8 Work with addition and subtraction equations. K.OA.1-5 Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

Focus Coherence More time on fewer things at any grade level Connect the learning within and across grades Conceptual Understanding Procedural Fluency Application Shifts in Mathematical Instructional Strategies

Mathematical Practices

CCSS Mathematics Team Dr. Marie Wright, Executive Director, Instruction and Intervention Dr. Jeanine Gendron, Director, STEM and Instructional Resources Guy Barmoha, Curriculum Specialist, Math James “Duke” Chinn, Curriculum Specialist, Math Barbara Perez, Curriculum Specialist, STEM Seitu Smith, Curriculum Specialist, Language in Math Grant Gloria Aguirre, Staff Developer, Math Ricky Bobinchuck, Staff Developer, Math