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California's Common Core State Standards (Mathematics)

This series introduces and examines areas of emphasis in California's adopted K-12 Common Core State Standards for Mathematics.

An Introduction

• Key design considerations of California's Common Core State Standards and the additional 15% California included in the adoption
• How the standards are organized
• Similarities and shifts in comparison to California's current standards
• Areas of emphasis in California's Common Core State Standards
• Standards for Mathematical Practice

Fluency in the Common Core Math Classroom

• Understand the fluency expectations in the CA Math Framework
• Understand traditional algorithms for addition, subtraction, multiplication, and division
• Explore alternative algorithms that build number sense and conceptual understanding
• Use sense-making skills to make reasonable estimates for computation problems
• Explore other ways to teach computation
• View the Common Core Standards support for computational strategies at the elementary level.

Cognitive Complexity in Mathematical Tasks

• Examine the cognitive complexity of various math tasks.
• Identify characteristics of math tasks with higher cognitive complexity.
• Discuss the skills that students need to complete math tasks with higher cognitive complexity.
• Learn ways to modify standards-based textbook problems to increase the level of cognitive complexity.

Fractions – Sense (Grades K-5)

• Explore CCSS that focus on naming, equivalence, comparing and ordering fractions.
• Develop an understanding of how fraction understanding progresses across grade levels.
• Discuss implications of this structure on teaching with the current mathematics textbook.

Fractions – Computations (Grades K-5)

• Explore CCSS that focus on fractions.
• Understand fractions at the conceptual level.
• Add conceptual understanding to fraction procedures.
• Discuss teaching with the current mathematics textbook.

Fractions on the Number Line (Grades K-5)

This session will give participants a fraction understanding foundation to build with their students.
• Explore CCSS that focus on naming, equivalence, comparing and ordering fractions on the number line.
• Develop an understanding of how fraction understanding progresses across grade-levels.
• Discuss implications of this structure on teaching with the current mathematics textbook.
• Identify starting points for beginning implementation of CCSS.

Instructional Strategies

• Explore multiple instructional models that will be required for successful CCSS implementation
• Discuss a variety of strategies needed to support students in understanding the mathematics being addressed
• Understand how different instructional strategies support the eight mathematical practices and 21st Century skills

Literacy in Mathematics

• Explore how math fits into the literacy equation
• Explore the importance of literacy in implementing the Common Core State Standards
• Study the Reading standards as they relate to text dependency
• Explore literacy in your curriculum

Mathematical Modeling (Grades 9-12)

• Experience mathematical modeling as it is defined in the California Mathematics Framework
• Understand of the nine levels of the modeling spectrum
• Investigate the development of mathematical modeling across the grade spans
• Explore resources for mathematical modeling problems

Mathematical Practice

• Connect the current structure of a balanced mathematics program with the Common Core State Standards and eight Mathematical Practices.
• Investigate the cognitive levels of instructional tasks.
• Explore how your adopted instructional materials support the transition to the CCSS Math Practices.

Motivating and Engaging Students (Grades K-5)

• The Common Core classroom requires student thinking, questioning, analyzing, reflecting, etc.
• Participants will discuss student motivation in the Common Core classroom and look at a variety of
techniques and structures to work towards increasing engagement.

Number Lines in the Common Core (Grades K-5)

In the Common Core State Standards for Mathematics the number line is first explicitly addressed in second grade Measurement and Data. References occur throughout middle school as well as in high school Statistics and Probability. The number line constitutes a unifying and coherent representation for the different sets of numbers, which other models cannot do.

Ratio & Proportional Relationships (Grades 6-8)

• Investigate the development of proportional reasoning across grades 6-8
• Understand that proportional reasoning involves more than the use of the equation
• Understand the concepts of additive thinking and multiplicative thinking
• Learn the connections between ratio tables, tape diagrams, double number line diagrams, equations and proportional situations
• Practice using the above strategies to solve problems and investigate proportional situations

Relational Thinking (Grades K-8)

• Learn how relational thinking is used in mathematics as a powerful tool to help students understand meaning of the equal sign.
• Develop an understanding of the skills relational thinkers use in understanding the relationship between equivalent expressions.
• Explore strategies for helping your students developing relational thinking

Structures for Collaborative Conversations

• Explore the shifts in instruction with the Common Core State Standards.
• Examine components of interactive problem solving.
• Learn strategies to help students have productive collaborative conversations.

Successes and Challenges

• Common Core classroom structures.
• Hear from K-12 teachers who have implemented CCSS practice in their classrooms.
• Discuss successes and challenges.

Writing and Revising Strategies in the Classroom (Grades K-5)

Learn a classroom structure to help students re-engage with work and refine their mathematics communication. Video examples will be of a second grade classroom.

The standards for math practice ask students to:
• Make sense when problem solving
• Persevere in solving problems
• Construct viable arguments while critiquing the reasoning of others


These courses are available for delivery. $25-$50 per participant per topic. Fee includes materials and varies based upon individual district needs.

For more information or to schedule an event at your site or district, contact:

Monica Abeyta
(916) 228-2559
mabeyta@scoe.net