The Institute kicks off with an Opening Session with Linda Gojak, NCTM President. For two days, you'll participate in face-to-face activities, network with peers from across the country, and pick a strand for the grade or content area that you’d like to focus on for an experience tailored to your needs. You'll take home strategies that will help you provide your students with the tools they need to apply math in meaningful ways.
The experience will be suited to your interests—you’ll take part in sessions and be grouped with educators according to the grade level you select for your strand of focus. Choose from grades 6, 7, and 8. Each strand will experience a progression of activities to address mathematics content related to the Common Core domains for the middle grades.
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- Grades 6–8 classroom teachers
- Preservice teachers
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Alyssa Hoslar, Strongsville City Schools, Ohio
Erik Tillema, Indiana University-Purdue University Indianapolis, Indiana
Fred Dillon, Strongsville City Schools, Ohio (retired)
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Activities are designed to achieve defined outcomes for you and your peers to achieve together. Participants will—
- understand the progression of the mathematics content of the Common Core State Standards within and across grade bands;
- increase their knowledge of mathematics content related to the Common Core domains for grades 6–8;
- identify instructional strategies that develop the habits of mind for students as espoused in the Standards for Mathematical Practice; and
- participate in activities that model formative assessment and appropriate pedagogy promoted in the Common Core State Standards.
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- Ratios and Proportional Relationships
- The Number System
- Expressions and Equations
- Statistics and Probability
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For session times, view the schedule overview.
Types of Sessions
Whole Group Sessions: All participants will attend these sessions. Facilitators will address topics contained in the Common Core State Standards of Mathematics. Participants will engage in hands-on activities that focus on the progression of a standard across a grade band.
Small Group Sessions: Participants will attend these sessions based on their grade band group. Workshop leaders will engage participants in hands-on activities based on the content topic.
Opening Session – Examining the Standards for Mathematical Practice through the Lens of Rich Tasks, Linda Gojak, NCTM President.
The Standards for Mathematical Practice describe the habits of mind students need to successfully learn, understand and retain the content standards. What is the potential of the practice standards in engaging middle school students in meaningful mathematics? Let’s explore practical ideas for successful implementation.
Geometry – The Geometry domain of the Common Core State Standards for Mathematics (CCSSM) focuses on solving real-world problems with area, surface area and volume, describing the relationships among different shapes, and using models to demonstrate congruence and similarity. Activities in this session will model CCSSM geometry standards and mathematical practices.
Expressions and Equations – The Expressions and Equations domain involves applying and extending earlier understandings about algebraic expressions. Participants in this session will reason about and solve equations inequalities, use properties of operations in showing that expressions are equivalent, and understand the connections among proportional relationships, lines, and linear equations.
Ratio, Proportions, and Proportional Reasoning – Participants will look at the progression of standards for the key concept of ratio and proportional reasoning as it develops across grade bands. They will unpack the standards for the grades by working with them in activities that also model the mathematical practices. Topics in the Ratio, Proportions, and Proportional Reasoning domain include introducing ratio/proportion vocabulary, connecting graphical representations and tables to proportions, and solving and creating problems. This session will follow the progression of the standards, which culminate in the Function standard in grade 8, with connections to linear graphs and the concept of slope.
Grade 6 Number and Operations – Participants will investigate a method for teaching a division of fractions algorithm. They will also do activities that introduce integers and that use the number line to explore number properties and concepts. Activities will also explore the least common multiple (LCM) and the greatest common factor (GCF).
Grade 7 Number and Operations – Participants’ major focus in this session will be on understanding integers, integer operations, and identifying reasons why students have difficulties with integers and strategies for intervention on those difficulties (such as models for multiplication, thinking about differences on the number line). Participants will also investigate division by zero.
Grade 8 Number and Operations – CCSSM content standards for grade 8 call on students to deepen their understanding of calculations with rational numbers. Activities in this session will address this topic and will also include the introduction of irrational numbers through the Pythagorean theorem and its connection to the distance formula. Further investigations will look at area and volume concepts by using scale factor.
Grade 6 Statistics – CCSSM calls for the first in-depth study of statistics in grade 6. Participants in this session will do activities that demonstrate the definitions of measures of center and spread, as well as the different shapes of one-variable data that students should use. Explorations in this session will focus on the mean absolute deviation (MAD) and interpreting results in the context of a problem.
Grade 7 Probability – CCSSM’s content standards for grade 7 call for a formal introduction of the key concepts of probability. This activity-driven session will focus on defining probability, investigating uniform and non-uniform outcomes, exploring simple and compound events, and discussing typical student misconceptions.
Grade 8 Statistics – By grade 8, students are expected to examine the relationships between sets of data. This session’s activities will mirror the Common Core’s focus on making scatterplots, finding linear models to fit the data, and interpreting the data and model in a problem context. Participants will also look at finding patterns with two-way tables and categorical data.
Assessment and Implementation – Now that participants have learned more about what CCSSM asks student to do, they will explore ideas on how to implement these new standards in the classroom. This session will look at a typical textbook, and participants will share ideas about selecting tasks, creating discourse, and understanding what students know. Assessment will be a special focus of the session, with participants looking at formative assessment, different assessment strategies, and items from both the PARCC and SBAC item banks.
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