# Deepen Learning

## Content Standards

k-5

### Number & Operations—Base Ten

This three-day course focuses on Number and Operations in Base Ten for students in grades K–5. The emphasis of this course is on developing a foundation of understanding of multiplication and division, and on extending understanding of place value with whole numbers to decimals. Experiences and discussions help participants discern the role that place-value understanding and properties of operations.

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3-5

### Strategies for Supporting Fraction Sense

Course 1 of 2.  This two-day course focuses on the priority domain of Number and Operations–Fractions for students in Grades 3-5. The emphasis of the course is on building understanding of fractions as numbers and connections between whole number knowledge and fraction knowledge. The strategies and foundation developed in this course are prerequisites for the further work with fraction computation that is developed in Course 2, Making Sense of Fraction Computation.

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3-5

### Making Sense of Fraction Computation

Course 2 of 2.  This two-day course focuses on the priority domain of Number and Operations–Fractions for students in Grades 3-5. The emphasis of the course is on building understanding of fraction computation. In this course, participants learn to build on students’ understanding of whole number operations to make sense of fraction computation. Strategies that support the development of fraction operation sense are highlighted.

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6-8

### Ratios & Proportional Relationships

This two-day course explores proportionality, proportional relationships, and proportional reasoning, acknowledging that the ability to reason proportionally is at the forefront of the middle school mathematics curriculum. The course supports teachers with strategies to help make this content accessible to all students.

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6-8

### Expressions, Equations, and Functions

This course focuses on how students develop algebraic reasoning and an understanding of the different representations for functions. Teachers and coaches explore the progression of middle school content that develops an understanding of expressions, equations, and functions and prepares students for success in high school and beyond.

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9-12

### High School Algebra and Functions

This two-day course focuses on the conceptual aspects of Algebra and Functions for students in high school with an emphasis on strategies and tools to help leverage students’ ways of thinking so they can approach any type of function, work with it, and understand how it behaves.

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## Instructional Strategies

k-5

### Math Workshop: Structures and Practices for Student Learning

Standards and student needs drive mathematics instruction. This course highlights Math Workshop, a model for organizing standards-based instruction to support all learners in the mathematics classroom. Participants engage in the Math Workshop model of instruction, reflect on how the structures and learning environment leverage increased learning for all students, and create a plan to implement Math Workshop in the classroom.

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k-8

### Supporting English Learners in Math

English learners need ongoing and explicit language instruction to access mathematical content. This course focuses on the types of support needed for English learners to be successful in mathematics. Participants gain the understanding and skills required to design lessons that increase English proficiency while simultaneously developing mathematical understanding as they analyze lessons designed for English learners. As the sessions build, participants learn how to use, and experience the benefits of, a lesson design process that supports differentiation for the varied levels of English learners in classrooms.

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### Number Talks: Fractions, Decimals, and Percentages

This full-day course focuses on number talks that build conceptual understanding of fractions, decimals, and percentages. Participants learn how to use this routine as a vehicle to focus on the essential understandings of rational numbers and develop a robust fluency.

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k-5

### Number Talks: Whole Number Computation

This full-day course introduces educators to the theory, structure and focus of Number Talks. As participants interact throughout the day, they reflect on their current practices and target essential understandings about numbers and operations.

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k-5

### Developing Number Sense

Number sense is a broad concept that covers a range of numerical thinking. This course helps teachers gain an understanding of what number sense is, why it is important, and what strategies they can use to help promote their students’ number sense. Through firsthand experiences, teachers explore their own number sense and are introduced to instructional approaches that promote thinking and communicating about numbers. Samples of student work help connect course investigations to teachers’ classroom needs.

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k-5

### Differentiating Mathematics Instruction

This course helps teachers understand what it means to support all students by differentiating three aspects of the math curriculum—content, process, and product. Teachers examine a variety of approaches that help them make instructional adjustments to content, provide activities that address how different students learn, and offer a variety of ways for students to demonstrate what they’ve learned.