# Course Category: Content Standards

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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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k-5

### Measurement and Data

This two-day course focuses on the domain of Measurement and Data for students in grades K–5. The emphasis of this course is on developing understanding of the natural progressions in thinking that children pass through as they develop basic concepts of measurement. Experiences and discussions help participants understand the importance of providing students with many and varied measurement tasks. The tasks must be meaningful and require students to gather measurement data for a purpose or in connection with clarifying important ideas. Data investigations provide the opportunity to consider the components and skills involved with collecting, representing, and interpreting data.

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k-5

### Geometry – Elementary School

This course focuses on content from the domain of Geometry and connects to expectations in the geometric measurement content cluster from the domain of Measurement and Data. Participants gain an understanding of the levels of geometric thinking, the important measurement decisions students need opportunities to make, and types of learning experiences that promote rigorous thinking.

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6-8

### Geometry – Middle School

This course focuses on content from the domain of Geometry and connects to expectations in the geometric measurement content cluster from the domain of Measurement and Data. Participants gain an understanding of the levels of geometric thinking, the important measurement decisions students need opportunities to make, and types of learning experiences that promote rigorous thinking.

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9-12

### Geometry – High School

This course focuses on geometry experiences that formalize high school students’ geometry work in elementary and middle school by utilizing more precise definitions and developing careful proofs. During the course participants engage in activities devoted to plane Euclidean geometry, both synthetically (without coordinates) and analytically (with coordinates).

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9-12

### Connecting High School Content Using an Integrated Approach

This high school course focuses on math experiences that connect algebra, geometry, and statistics. Participants explore content designed to deepen and extend understanding of linear relationships.  This includes engaging in experiences that contrast linear and exponential functions as well as applying linear models to data that exhibit a linear trend.  During this course, participants also investigate how emphasizing properties and theorems about congruent shapes deepen students’ geometric understanding and examine the connection between geometry and algebra through the lens of analytic geometry.