This lesson unit is intended to help teachers assess how well students are able to visualize two-dimensional cross-sections of representations of three-dimensional objects. In particular, the lesson will help you identify and help students who have difficulties recognizing and drawing two-dimensional cross-sections at different points along a plane of a representation of a three-dimensional object.

This lesson unit is intended to help teachers assess how well students are able to: work with concepts of congruency and similarity, including identifying corresponding sides and corresponding angles within and between triangles; Identify and understand the significance of a counter-example; Prove, and evaluate proofs in a geometric context.

This lesson unit is intended to help you assess how well students are able to use geometric properties to solve problems. In particular, it will support you in identifying and helping students who have the following difficulties: Solving problems relating to using the measures of the interior angles of polygons; and solving problems relating to using the measures of the exterior angles of polygons.

This lesson unit is intended to help teachers assess how well students are able to create and solve linear equations. In particular, the lesson will help you identify and help students who have the following difficulties: solving equations with one variable and solving linear equations in more than one way.

Through funding provided by Georgia’s Race to the Top initiative and in partnership with the Georgia Department of Education, new self-paced common core professional development course Mathematics teachers.

The Georgia Department of Education has developed two flexible, ready-to-use courses intended to support Georgia educators in the understanding and effective implementation of the CCGPS.

The courses may be used by individual educators, professional learning communities, or by districts or schools. The time required for the courses may be customized for a variety of applications by expanding the amount of time spent on the activities and in discussion.

Each course contains hands-on activities, related readings and research, recommended topics for discussion, web and video resources, and self-assessments.

The content of the courses was developed under a grant from the U. S. Department of Education. However, the content does not necessarily represent the policy of the U. S. Department of Education, and endorsement by the Federal Government should not be assumed.

Through funding provided by Georgia’s Race to the Top initiative and in partnership with the Georgia Department of Education, new self-paced common core professional development courses are available for Mathematics teachers.

The Georgia Department of Education has developed two flexible, ready-to-use courses intended to support Georgia educators in the understanding and effective implementation of the CCGPS.

The courses may be used by individual educators, professional learning communities, or by districts or schools. The time required for the courses may be customized for a variety of applications by expanding the amount of time spent on the activities and in discussion.

Each course contains hands-on activities, related readings and research, recommended topics for discussion, web and video resources, and self-assessments.

The content of the courses was developed under a grant from the U. S. Department of Education. However, the content does not necessarily represent the policy of the U. S. Department of Education, and endorsement by the Federal Government should not be assumed.

Through funding provided by Georgia’s Race to the Top initiative and in partnership with the Georgia Department of Education, new self-paced common core professional development courses are available for English Mathematics teachers.

The Georgia Department of Education has developed two flexible, ready-to-use courses intended to support Georgia educators in the understanding and effective implementation of the CCGPS.

The courses may be used by individual educators, professional learning communities, or by districts or schools. The time required for the courses may be customized for a variety of applications by expanding the amount of time spent on the activities and in discussion.

Each course contains hands-on activities, related readings and research, recommended topics for discussion, web and video resources, and self-assessments.

The content of the courses was developed under a grant from the U. S. Department of Education. However, the content does not necessarily represent the policy of the U. S. Department of Education, and endorsement by the Federal Government should not be assumed.

This lesson unit is intended to help teahcers assess how well students solve problems involving measurement, and in particular, to identify and help students who have the following difficulties; computing measurements using formulas; decomposing compound shapes into simpler ones; using right triangles and their properties to solve real-world problems.

This lesson unit is intended to help teachers assess how well students are able to classify solutions to a pair of linear equations by considering their graphical representations. In particular, this unit aims to help teachers identify and assist students who have difficulties in: using substitution to complete a table of values for a linear equation; identifying a linear equation from a given table of values; and graphing and solving linear equations.

This lesson unit is intended to help teachers assess how well students are able to interpret exponential and linear functions and in particular to identify and help students who have the following difficulties: translating between descriptive, algebraic and tabular data, and graphical representation of the functions; recognizing how, and why, a quantity changes per unit intervale; and to achieve these goals students work on simple and compound interest problems.

Thorough explanation of the how and why of text-dependent questions for close, analytic reading. Includes examples.

The Common Core State Standards for reading strongly focus on students gathering evidence, knowledge, and insight from what they read. Indeed, eighty to ninety percent of the Reading Standards in each grade require text dependent analysis; accordingly, aligned curriculum materials should have a similar percentage of text dependent questions.

As the name suggests, a text dependent question specifically asks a question that can only be answered by referring explicitly back to the text being read. It does not rely on any particular background information extraneous to the text nor depend on students having other experiences or knowledge; instead it privileges the text itself and what students can extract from what is before them.

This four-part module has been developed as an initial component developed to prepare leaders of K-12 professional development to engage in independent study and initial exploration of culturally responsive teaching, the NGSS shifts, and relevant connections between NGSS and Common Core. This is part of a larger equity-focused professional development program designed for K-12 facilitators of NGSS working in throughout the rural areas of Oregon.It will take approximately 2 hours to complete and brings together many already developed resources in new ways. Module A is the introductory module for the Oregon Science Project NGSS Learning Facilitator Program. An Oregon Science Project Digital Badge is available for anyone who completes this module.If you have any feedback please email ctrecha at oregonscienceproject.org

Students are more likely to meet Common Core expectations for reading, writing, speaking and listening, and language if they are working with texts on a regular basis. Organizing a curriculum around a series of text sets can provide those opportunities for students. This organization is supported by the PARCC Model Content Frameworks.

This module fosters a careful understanding of the Common Core State Standards math shifts. Participants take a deep dive into the major work of grades K-8, build a deeper understanding of the coherence of the Standards, and work through sample problems that reflect the "rigor" expected by the Standards.

This lesson unit is intended to help teachers assess how well students are able to use linear inequalities to create a set of solutions. In particular, the lesson will help teachers identify and assist students who have difficulties in: representing a constraint by shading the correct side of the inequality line; and understanding how combining inequalities affects a solution space.

This lesson unit is intended to help teachers assess how well students are able to: Select appropriate mathematical methods to use for an unstructured problem; interpret a problem situation, identifying constraints and variables, and specify assumptions; work with 2- and 3-dimensional shapes to solve a problem involving capacity and surface area; and communicate their reasoning clearly.

This lesson unit is intended to help you assess whether students recognize relationships of direct proportion and how well they solve problems that involve proportional reasoning. In particular, it is intended to help you identify those students who: use inappropriate additive strategies in scaling problems, which have a multiplicative structure; rely on piecemeal and inefficient strategies such as doubling, halving, and decomposition, and have not developed a single multiplier strategy for solving proportionality problems; and see multiplication as making numbers bigger, and division as making numbers smaller.

This lesson unit is intended to help teachers assess how well students understand the notion of correlation. In particular this unit aims to identify and help students who have difficulty in: understanding correlation as the degree of fit between two variables; making a mathematical model of a situation; testing and improving the model; communicating their reasoning clearly; and evaluating alternative models of the situation.

This lesson unit is intended to help assess how well students are able to interpret and use scale drawings to plan a garden layout. This involves using proportional reasoning and metric units.

EQuIP (Educators Evaluating the Quality of Instructional Products) is an initiative designed to identify high-quality materials aligned to the Common Core State Standards (CCSS) or Next Generation Science Standards (NGSS).

The objectives are two-fold:
1) Increase the supply of high quality lessons and units aligned to the CCSS or the NGSS that are available to elementary, middle, and high school teachers as soon as possible; and
2) Build the capacity of educators to evaluate and improve the quality of instructional materials for use in their classrooms and schools.

This lesson unit is intended to help teachers assess how well students are able to: use the Pythagorean theorem to derive the equation of a circle; and translate between the geometric features of circles and their equations.

This lesson unit is intended to help teachers assess how well students are able to: translate between the equations of circles and their geometric features; and sketch a circle from its equation.

This lesson unit is intended to help you assess how well students are able to: solve simple problems involving ratio and direct proportion; choose an appropriate sampling method; and collect discrete data and record them using a frequency table.

This lesson unit is intended to help teachers assess how well students are able to: estimate lengths of everyday objects; convert between decimal and scientific notation; and make comparisons of the size of numbers expressed in both decimal and scientific notation.

This lesson unit is intended to help you assess how well students are able to: Model a situation; make sensible, realistic assumptions and estimates; and use assumptions and estimates to create a chain of reasoning, in order to solve a practical problem.

This lesson unit is intended to help teachers assess how well students are able to solve problems involving area and volume, and in particular, to help you identify and assist students who have difficulties with the following: computing perimeters, areas and volumes using formulas; and finding the relationships between perimeters, areas, and volumes of shapes after scaling.

This lesson unit is intended to help teachers assess how well students can: Understand the concepts of length and area; use the concept of area in proving why two areas are or are not equal; and construct their own examples and counterexamples to help justify or refute conjectures.

This lesson unit addresses common misconceptions relating to probability of simple and compound events. The lesson will help you assess how well students understand concepts of: Equally likely events; randomness; and sample sizes.

This lesson unit is intended to help teachers assess how well students are able to: model a periodic situation, the height of a person on a Ferris wheel, using trigonometric functions; and interpret the constants a, b, c in the formula h = a + b cos ct in terms of the physical situation, where h is the height of the person above the ground and t is the elapsed time.

This lesson unit is intended to help teachers assess how well students are able to understand the relationship between the slopes of parallel and perpendicular lines and, in particular, to help identify students who find it difficult to: find, from their equations, lines that are parallel and perpendicular; and identify and use intercepts. It also aims to encourage discussion on some common misconceptions about equations of lines.

This lesson unit is intended to help teachers assess how well students are able to understand what the different algebraic forms of a quadratic function reveal about the properties of its graphical representation. In particular, the lesson will help teachers identify and help students who have the following difficulties: understanding how the factored form of the function can identify a graphŐs roots; understanding how the completed square form of the function can identify a graphŐs maximum or minimum point; and understanding how the standard form of the function can identify a graphŐs intercept.

This lesson unit is intended to help teachers assess how well students are able to: articulate verbally the relationships between variables arising in everyday contexts; translate between everyday situations and sketch graphs of relationships between variables; interpret algebraic functions in terms of the contexts in which they arise; and reflect on the domains of everyday functions and in particular whether they should be discrete or continuous.

This lesson unit is intended to help teachers assess how well students are able to identify linear and quadratic relationships in a realistic context: the number of tiles of different types that are needed for a range of square tabletops. In particular, this unit aims to identify and help students who have difficulties with: choosing an appropriate, systematic way to collect and organize data; examining the data and looking for patterns; finding invariance and covariance in the numbers of different types of tile; generalizing using numerical, geometrical or algebraic structure; and describing and explaining findings clearly and effectively.

This lesson unit is intended to help you assess how well students working with square numbers are able to: choose an appropriate, systematic way to collect and organize data, examining the data for patterns; describe and explain findings clearly and effectively; generalize using numerical, geometrical, graphical and/or algebraic structure; and explain why certain results are possible/impossible, moving towards a proof.

This lesson unit is intended to help teachers assess how well students are able to use geometric properties to solve problems. In particular, the lesson will help you identify and help students who have the following difficulties: solving problems by determining the lengths of the sides in right triangles; and finding the measurements of shapes by decomposing complex shapes into simpler ones. The lesson unit will also help students to recognize that there may be different approaches to geometrical problems, and to understand the relative strengths and weaknesses of those approaches.

With the release of ChatGPT in November 2022, the field of higher education rapidly became aware that generative AI can complete or assist in many of the kinds of tasks traditionally used for assessment. This has come as a shock, on the heels of the shock of the pandemic. How should assessment practices change? Should we teach about generative AI or use it pedagogically? If so, how? Here, we propose that a set of open educational practices, inspired by both the Open Educational Resources (OER) movement and digital collaboration practices popularized in the pandemic, can help educators cope and perhaps thrive in an era of rapidly evolving AI. These practices include turning toward online communities that cross institutional and disciplinary boundaries. Social media, listservs, groups, and public annotation can be spaces for educators to share early, rough ideas and practices and reflect on these as we explore emergent responses to AI. These communities can facilitate crowdsourced curation of articles and learning materials. Licensing such resources for reuse and adaptation allows us to build on what others have done and update resources. Collaborating with students allows emergent, student-centered, and student-guided approaches as we learn together about AI and contribute to societal discussions about its future. We suggest approaching all these modes of response to AI as provisional and subject to reflection and revision with respect to core values and educational philosophies. In this way, we can be quicker and more agile even as the technology continues to change.

We give examples of these practices from the Spring of 2023 and call for recognition of their value and for material support for them going forward. These open practices can help us collaborate across institutions, countries, and established power dynamics to enable a richer, more justly distributed emerging response to AI.

This lesson unit is intended to help you assess how students reason about geometry and, in particular, how well they are able to: use facts about the angle sum and exterior angles of triangles to calculate missing angles; apply angle theorems to parallel lines cut by a transversal; interpret geometrical diagrams using mathematical properties to identify similarity of triangles.

This lesson unit is intended to help teachers assess how well students are able to interpret percent increase and decrease, and in particular, to identify and help students who have the following difficulties: translating between percents, decimals, and fractions; representing percent increase and decrease as multiplication; and recognizing the relationship between increases and decreases.

This lesson unit is intended to help teachers assess how well students are able to use geometric properties to solve problems. In particular, it will help you identify and help students who have difficulty: decomposing complex shapes into simpler ones in order to solve a problem; bringing together several geometric concepts to solve a problem; and finding the relationship between radii of inscribed and circumscribed circles of right triangles.