Common Core State Standards

Defining the core: A whole new way of learning

Broward County Public SchoolsElementary Math Contact MeetingAugust 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.

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Expected Outcomes

CCSS-Math District Support Team

Sample 3rd Grade Assessment item aligned to CCSS

Sample 4th 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 5th Grade Performance Task aligned to CCSS

What is a reasonable height for Branden at age 2?

centimeters

Sample 8th Grade Performance Task aligned to CCSS

Number and Operations in Base Ten 5.NBTPerform operations with multi-digit whole numbers and with decimals to hundredths.

NGSSS vs. CCSSContent Standards

Grade 6: BIG IDEA 1Develop an understanding of and fluency with multiplication and division of fractions and decimals.

NGSSS

CCSS

Number and Operations—Fractions 5.NFApply and extend previous understandings of multiplication anddivision to multiply and divide fractions.

The Number System 6.NSApply and extend previous understandings of multiplication anddivision to divide fractions by fractions.

Grade 5 Supporting Idea: Geometry and MeasurementIdentify and plot ordered pairs on the first quadrant of the coordinate plane.

NGSSS vs. CCSSContent StandardsNGSSS

CCSS

Grade 4 Supporting Idea: AlgebraGenerate 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.

FocusMore 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)

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e.g. Adding and Subtracting Fractions…

e.g. Mean, Median, Mode, (Range)…

NGSSS Big Ideas (5th 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 CoherenceMore 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 1 2 3 4 5 6 7 8 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.7-8Analyze and solve linear equations and pairs of simultaneous linear equations.

7.EE.3-4Solve 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.1-5Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

Focus CoherenceMore time on fewer things at any grade level

Connect the learning within and across grades

ConceptualUnderstanding

ProceduralFluency

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