# Content-focused offerings

Our content-focused offerings cover mathematical content from the following CCRSAE domains:

• Number and Operation: Base Ten
• Number and Operation: Fractions, Ratio and Proportional Relationships
• Operations and Algebraic Thinking
• Geometry
• Measurement and Data
##### Face-to-Face     Online        Blended

Note that some of our offerings have prerequisites. See the grid below or the diagram at the bottom of this page.

Offering TitleSummaryDelivery methodPrerequisites?
##### Building a Solid Foundation

Building a Solid Foundation (BSF) focuses on developing conceptual understanding of math topics. The CCRSAE for Mathematics and its supporting elements (the Standards for Mathematical Practice and key instructional shifts) will be used as a foundation from which to explore what should be taught and when and how it should be taught. These elements will be illustrated through activities that will build your content and pedagogical knowledge. The CCRSAE Standards will be explicitly addressed as appropriate, as will research on effective mathematical teaching.

Topics to be covered:

• Number and operations: base 10 and fractions
• Ratio and proportional reasoning
• Operations and algebraic thinking
• Geometry
• Measurement and data

BSF is the first in a series of sequential offerings focusing on math content and pedagogy.

Open to all
##### Exploring Exponents

This five-session virtual course builds on the Building a Solid Foundation course and is based on the College and Career Readiness Standards for Adult Education, including the Standards for Mathematical Practice and the key instructional shifts. The emphasis will be on helping you develop your own conceptual understanding of core math topics related to exponents, while modeling instructional strategies for the classroom. You will be encouraged to try out new ideas between each session.

Topics covered include: patterns with exponents, powers of 10, interest rates, and graphing with exponents.

Building a Solid Foundation
##### Exploring Linear Equations and Inequalities

In this course, participants will explore linear relationships using real life applications and hands-on explorations. Participants will create equations and graphs from proportional and nonproportional situations looking at patterns and real-life situations. Building on those ideas, participants will then create systems of equations starting with a real-life situation and learn various strategies to solve the system: graphing, substitution, and elimination. Participants will extend their understanding of linear equalities to linear inequalities, interpreting solutions of linear inequalities. Digital technology will be addressed by utilizing Excel for graphing situations.

Exploring Linear Equations and Inequalities is a blended course composed of two face-to-face sessions and one online session. The online session takes about 4-6 hours to complete. The total completion time is approximately 18 hours. The course schedule is as follows:

Building a Solid Foundation or Making Sense of Proportional Reasoning
##### Making Sense of Data

Adults encounter statistics in the news, in health care, when making consumer decisions, and in many other contexts. Statistical reasoning helps students build on and develop various mathematical concepts, but its application has relevance beyond the study of mathematics. Data is involved in decision-making at every level of society. Traditionally, data and statistics instruction in math classes has focused on data analysis. This course seeks to expand the focus to the entire cycle and process of doing statistics to answer questions about the world around us. In addition to its real-life applications, the content of this course is relevant for adult students preparing for HSE exams in math, science, and social studies.

In this course, you will deepen your understanding of the statistical cycle and how to help students develop and apply basic concepts in statistical reasoning. Through hands-on activities and experiments, videos, readings, and examples of student work, you will explore the four stages of the statistical cycle: formulating questions, collecting data, analyzing data, and interpreting results. The course includes examples of applications of statistics to scientific inquiry and contemporary social issues.

Making Sense of Data is a blended course composed of two face-to-face sessions and two online sessions. The total completion time is approximately 16 hours.

Open to all
##### Making Sense of Fractions

Both teachers and students often report that the hardest thing to teach and learn is fractions. There are so many rules to remember and none of it seems to make sense. By building a solid conceptual understanding of fractions, teachers and students can understand those rules instead of memorizing them. Fractions don’t have to be a source of frustration and anxiety!

In this course, you will deepen your understanding of the meaning of fractions through a series of hands on activities and visual explorations. You will learn to develop your own non-routine fraction questions to guide your students to a deep and full understanding that will serve them well as they continue to work with fractions throughout their math education. You will also learn the reasoning behind all those fraction procedures students memorize in school and ways to teach them that allow students to develop conceptual understanding and procedural fluency at the same time.

Making Sense of Fractions is a blended course composed of two full day face-to-face sessions and two online sessions. The course takes approximately 16 hours total to complete.

Open to all
##### Making Sense of Proportional Reasoning

Adult students, even at the lowest levels, have experience with and intuition about proportional reasoning. By integrating proportional reasoning throughout the curriculum, teachers can help students develop their life and career skills and be prepared to tackle algebra with understanding and confidence.

Making Sense of Proportional Reasoning is a blended course made up of 2 half-day, face-to-face sessions and 2 week-long online sessions. Total completion time is approximately 16 hours. This offering is for adult education instructors at all levels of experience and math confidence.

Open to all
##### Math Concepts

This four-session course builds on the Building a Solid Foundation (BSF) course and is based on the College and Career Readiness Standards for Mathematics, including the Standards for Mathematical Practice and the key instructional shifts. As with BSF, the emphasis will be on helping you develop your own conceptual understanding of core math topics while modeling instructional strategies for the classroom. Research on teaching and learning math will be integrated throughout the course. You will be expected to try out new ideas between each full-day session.

Topics to be covered:

• Number and operations: base 10 and fractions
• Linear functions
• Geometry
• Introduction to statistics
Building a Solid Foundation