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2D Representations of 3D Objects
Rating

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.

Subject:
Geometry
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Analyzing Congruence Proofs
Rating

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.

Subject:
Geometry
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Applying Angle Theorems
Rating

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.

Subject:
Geometry
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Building and Solving Equations 1
Rating

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.

Subject:
Algebra
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
CCSS Professional Development: Math Module 1
Conditions of Use:
Read the Fine Print
Rating

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.

Material Type:
Teaching/Learning Strategy
Unit of Study
Provider:
Georgia Department of Education
Provider Set:
Georgia Virtual Learning
Date Added:
02/10/2014
CCSS Professional Development: Math Module 2
Conditions of Use:
Read the Fine Print
Rating

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.

Material Type:
Teaching/Learning Strategy
Unit of Study
Provider:
Georgia Department of Education
Provider Set:
Georgia Virtual Learning
Date Added:
02/10/2014
CCSS Professional Development: Math Module 3
Conditions of Use:
Read the Fine Print
Rating

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.

Material Type:
Teaching/Learning Strategy
Unit of Study
Provider:
Georgia Department of Education
Provider Set:
Georgia Virtual Learning
Date Added:
02/10/2014
Calculating Volumes of Compound Objects
Rating

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.

Subject:
Geometry
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
The Challenge of Assessing Language Proficiency Aligned to the Common Core State Standards and Some Possible Solutions
Conditions of Use:
Read the Fine Print
Rating

The authors discuss the challenges of assessing English Language Proficiency (ELP) in ways that are aligned with the Common Core State Standards (CCSS), and then make recommendations for developers of the next generation ELP assessments.They identify challenges around three sets of related issues: Identifying language knowledge and skills in the CCSS. Defining alignment in the context of ELP assessments. Articulating a new ELP standards framework that can guide states in their development of next generation ELP standards and assessments.

Subject:
Arts and Humanities
Language Education (ESL)
Material Type:
Assessment
Reading
Teaching/Learning Strategy
Provider:
Stanford University School of Education
Provider Set:
Understanding Language
Author:
Alison Bailey, Mikyung Kim Wolf
Date Added:
04/11/2012
Classifying Solutions to Systems of Equations
Rating

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.

Subject:
Algebra
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Common Core State Standards: A New Foundation for Student Success
Conditions of Use:
Read the Fine Print
Rating

The Common Core State Standards are the result of a collaborative effort of the Council of Chief State School Officers and the National Governors Association for Best Practices to ensure that the nation's students will be ready to be productive and successful in college and the global workplace.

Subject:
Education
Material Type:
Teaching/Learning Strategy
Provider:
Hunt Institute and CCSSO
OER Commons
Provider Set:
Common Core Reference Collection
Author:
Coleman, David
Pimentel, Susan
Date Added:
01/10/2011
Common Core State Standards: Principles of Development
Conditions of Use:
Read the Fine Print
Rating

This is a presentation of the five principles upon which the Common Core Standards in English Language Arts and Mathematics are built, the first of which is that upon meeting these standards, students are college-and-career ready. This video discusses the process under which the Common Core standards were developed.

Subject:
Education
Material Type:
Teaching/Learning Strategy
Provider:
Hunt Institute and CCSSO
OER Commons
Provider Set:
Common Core Reference Collection
Author:
Coleman, David
Pimentel, Susan
Date Added:
01/10/2011
Comparing Investments
Rating

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.

Subject:
Algebra
Measurement and Data
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Complete Guide to Creating Text Dependent Questions
Conditions of Use:
Read the Fine Print
Rating

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.

Subject:
Arts and Humanities
Reading Informational Text
Material Type:
Reading
Teaching/Learning Strategy
Provider:
Achieve the Core
OER Commons
Provider Set:
Common Core Reference Collection
Date Added:
05/10/2012
Remix
Condon Science Project: Oregon Science Project Introductory NGSS PD Module for Learning Facilitators
Conditions of Use:
Remix and Share
Rating

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

Subject:
Education
Physical Science
Material Type:
Module
Author:
Cristina Trecha
Sarah Carlson
Date Added:
12/06/2017
Creating Text Sets for Whole-Class Instruction
Conditions of Use:
No Strings Attached
Rating

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.

Subject:
Speaking and Listening
Material Type:
Teaching/Learning Strategy
Provider:
Louisiana Department of Education
OER Commons
Provider Set:
Common Core Reference Collection
Date Added:
10/30/2013
Criteria for Resources Aligned to Common Core State Standards in Mathematics
Conditions of Use:
Remix and Share
Rating

Developed by one of the authors of the Common Core State Standards, the seven criteria for resources outlined in this document should guide development of curriculum modules and accompanying materials. Seven criteria are: Promote Effectiveness, Quality Materials, Develop Mathematical Practices, Balance of Approach, Capacity-building, Content Alignment, Comprehensiveness.

Subject:
Education
Mathematics
Material Type:
Teaching/Learning Strategy
Provider:
EngageNY
OER Commons
Provider Set:
Common Core Reference Collection
Author:
Jason Zimba
Date Added:
05/15/2012
Deep Dive into the Math Shifts
Conditions of Use:
Read the Fine Print
Rating

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.

Subject:
Mathematics
Material Type:
Teaching/Learning Strategy
Unit of Study
Provider:
OER Commons
Student Achievement Partners
Provider Set:
Common Core Reference Collection
Date Added:
07/01/2013
Defining Regions Using Inequalities
Rating

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.

Subject:
Mathematics
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Designing: Candy Cartons
Rating

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.

Subject:
Geometry
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Developing a Sense of Scale
Rating

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.

Subject:
Numbers and Operations
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Devising a Measure for Correlation
Rating

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.

Subject:
Mathematics
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Drawing to Scale: Designing a Garden
Rating

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.

Subject:
Algebra
Geometry
Ratios and Proportions
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Equations of Circles 1
Rating

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.

Subject:
Geometry
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Equations of Circles 2
Rating

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.

Subject:
Geometry
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Estimating: Counting Trees
Rating

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.

Subject:
Education
Geometry
Measurement and Data
Ratios and Proportions
Material Type:
Assessment
Lecture Notes
Lesson Plan
Teaching/Learning Strategy
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Author:
http://map.mathshell.org/
Date Added:
04/26/2013
Estimating Length Using Scientific Notation
Rating

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.

Subject:
Mathematics
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Estimations and Approximations: The Money Munchers
Rating

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.

Subject:
Geometry
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Evaluating Statements About Enlargements (2D and 3D)
Rating

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.

Subject:
Geometry
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Evaluating Statements About Length and Area
Rating

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.

Subject:
Geometry
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Evaluating Statements About Probability
Rating

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.

Subject:
Statistics and Probability
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Ferris Wheel
Rating

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.

Subject:
Functions
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Finding Equations of Parallel and Perpendicular Lines
Rating

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.

Subject:
Mathematics
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Forming Quadratics
Rating

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.

Subject:
Algebra
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Functions and Everyday Situations
Rating

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.

Subject:
Functions
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Generalizing Patterns: Table Tiles
Rating

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.

Subject:
Algebra
Geometry
Measurement and Data
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Generalizing Patterns: The Difference of Two Squares
Rating

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.

Subject:
Algebra
Geometry
Measurement and Data
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Geometry Problems: Circles and Triangles
Rating

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.

Subject:
Geometry
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Got Text Complexity?  Selected Literature for Common Core Standards in English Language Arts
Rating

This bibliography was developed to highlight some of the outstanding trade books published for older children and teens that can be used for the text complexity component of the CCS in grades 6-12.* All of the books have been selected based on their literary quality and other components of qualitative evaluation. Many of the books offer sophisticated narrative structures and other characteristics factored into quantitative evaluation. And the list as a whole offers a wide variety of books reflecting diversity of subject matter and style, allowing for a range of choices in matching reader to text and task.

Subject:
Arts and Humanities
Literature
Material Type:
Teaching/Learning Strategy
Provider:
OER Commons
University of Wisconsin
Provider Set:
Common Core Reference Collection
Author:
Megan Schliesman and Merri V. Lindgren
Date Added:
04/12/2012