A common sense approach to the Common Core State Standards. In this presentation we discuss the instructional shifts that the CCSS call for as well as ways for teachers to engage the core through connecting and collaborating.
Common Sense for the Common Core Part Two: Assessment Editionbcurran
This document summarizes information about Common Core math assessments. It discusses the two main assessment consortia, Smarter Balanced and PARCC, including timelines and sample problems. It provides an overview of the Standards for Mathematical Practice and Content. Examples of 4th grade math problems are presented in selected response and constructed response formats along with rubrics. Resources for further information are listed.
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This document provides guidance on conducting sociological research, including identifying key variables and disciplines related to a research topic, searching databases and the library catalog, and getting research assistance. It recommends thinking of terms and variables for a thesis topic, considering additional disciplines beyond sociology, using Boolean operators and wildcards to search databases. OneSearch allows searching across many databases, while Database by Topic uses more advanced terminology within a discipline. The document also notes that interlibrary loans arrive within 72 hours and advertises research paper help sessions on specific dates.
This document provides guidance and tips for researching a sociological topic related to microaggressions and college admittance. It includes potential search terms like "microaggress*" and "critical w1 race and microaggression" as well as suggestions to consider related disciplines like critical race theory. The document also provides instructions for accessing full text articles and notes that articles on microaggressions and critical race theory could provide supporting evidence.
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This document provides guidance on finding academic sources for a research paper through the CSULB library resources. It outlines the key elements to include in a reference list citation and recommends using the library databases and OneSearch tool to find peer-reviewed journal articles, books, and reports on a topic. The document emphasizes searching with subject-specific keywords and terminology, and using search filters, limits, and connectors to refine results. It also notes how to request full-text articles that are not immediately available.
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This document provides guidance on researching a sociology topic. It instructs the reader to choose a topic, identify relevant concepts and variables, and organize their search terms. It then demonstrates how to construct searches using Boolean operators and wildcards. The document also lists some specialized databases for sociological research and common citation errors. It emphasizes picking the correct database and matching search terminology to the database.
Common Sense for the Common Core Part Two: Assessment Editionbcurran
This document summarizes information about Common Core math assessments. It discusses the two main assessment consortia, Smarter Balanced and PARCC, including timelines and sample problems. It provides an overview of the Standards for Mathematical Practice and Content. Examples of 4th grade math problems are presented in selected response and constructed response formats along with rubrics. Resources for further information are listed.
This document provides an overview and instructions for using the library resources at California State University, Long Beach. It highlights some of the key changes to the library including updating the search box and catalog to allow searching across all CSU campuses. It also notes that students can now access library resources using their Beach ID instead of a separate password. The document then provides guidance on searching for articles and resources, citing sources, and reading scholarly information.
This document provides guidance on conducting sociological research, including identifying key variables and disciplines related to a research topic, searching databases and the library catalog, and getting research assistance. It recommends thinking of terms and variables for a thesis topic, considering additional disciplines beyond sociology, using Boolean operators and wildcards to search databases. OneSearch allows searching across many databases, while Database by Topic uses more advanced terminology within a discipline. The document also notes that interlibrary loans arrive within 72 hours and advertises research paper help sessions on specific dates.
This document provides guidance and tips for researching a sociological topic related to microaggressions and college admittance. It includes potential search terms like "microaggress*" and "critical w1 race and microaggression" as well as suggestions to consider related disciplines like critical race theory. The document also provides instructions for accessing full text articles and notes that articles on microaggressions and critical race theory could provide supporting evidence.
This document provides guidance and resources for students taking Sociology 460: Poverty and Public Policy. It outlines key databases available through the university library that are relevant to the course, including SocIndex, Sociological Abstracts, Psycinfo and ERIC. It also discusses EndNote software for citing sources in ASA style. Tips are provided for constructing effective search terms related to topics like the impact of race and socioeconomic status on bail. Students are advised on selecting appropriate databases and matching terminology. Help is offered to avoid common citation errors.
This document provides guidance on finding academic sources for a research paper through the CSULB library resources. It outlines the key elements to include in a reference list citation and recommends using the library databases and OneSearch tool to find peer-reviewed journal articles, books, and reports on a topic. The document emphasizes searching with subject-specific keywords and terminology, and using search filters, limits, and connectors to refine results. It also notes how to request full-text articles that are not immediately available.
This document provides guidance on researching the topic of racism, power, and inequality for a sociology course. It instructs the student to choose their specific thesis topic, organize relevant concepts and terms, and construct database searches using Boolean operators and wildcards. Sample searches are provided focusing on topics like property values, homeownership, incarceration, and microaggressions. The document recommends specialized databases for statistics and certain ethnic groups. It stresses selecting the appropriate database and terminology for the topic, searching across multiple databases, and properly citing sources.
This document provides guidance on researching a sociology topic. It instructs the reader to choose a topic, identify relevant concepts and variables, and organize their search terms. It then demonstrates how to construct searches using Boolean operators and wildcards. The document also lists some specialized databases for sociological research and common citation errors. It emphasizes picking the correct database and matching search terminology to the database.
Engage the Core: Learn, Curate, Organize and Engage the Common Corebcurran
This document provides resources for organizing and exploring the Common Core State Standards, including websites for curating resources, organizing materials using tools like Diigo and LiveBinders, and examples of English Language Arts standards related to writing, speaking, and using technology. It also provides contact information for the author to get more information and help with using the Common Core standards.
The document provides information about an Engaging Educators presentation given by Benjamin Curran on November 2, 2011, including what was discussed, why it was discussed, how it was presented, and questions. It also lists several related websites and resources for book clubs, global education, Skype in education, online libraries, and Engaging Educators. Contact information is provided at the end.
Common Sense for the Common Core: Part Two (assessment edition)bcurran
This document summarizes information about Common Core math assessments. It discusses the two main assessment consortia, Smarter Balanced and PARCC, including timelines and sample problems. It provides an overview of the Standards for Mathematical Practice and Content. Examples of 4th grade math problems are presented in selected response and constructed response formats along with a scoring rubric. Resources for further information are listed at the end.
This wiki project is for Room 310. It will serve as a central place to share information about the room. Photos of the room can be found on Flickr at the URL listed in the document.
The document discusses the concept of the "Principal 2.0", which refers to a school principal who utilizes digital tools and social networks to better connect with other educators, access new resources, and lead their school community. It recommends that principals expand their "toolkit" by using free platforms like Twitter, Google Reader, and Blogger to connect with peers, stay informed, and share ideas. The presentation provides an overview of how these tools work and key strategies for using them effectively as part of becoming a modern, connected principal.
The document discusses wikis and their uses for education. It begins with common questions about wikis, explaining that they are websites that allow anyone to easily create and edit pages without technical skills. It then outlines several benefits of wikis for classrooms, including facilitating collaboration on group projects, serving as platforms for discussion boards and study guides, and allowing students to create online stories and glossaries together. The document also provides step-by-step instructions for setting up wikis using the Pbwiki platform and introduces other related web 2.0 tools like blogs, podcasts, and social bookmarking.
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This document outlines an Edureka webinar on applications of clustering in real life. The webinar instructor is Kumaran Ponnambalam. The objectives are to understand data science applications and prospects, machine learning categories, clustering and k-means clustering. Examples of clustering applications include wine recommendation, pizza delivery optimization, and news summarization. K-means clustering is demonstrated on pizza delivery location data. The webinar also discusses data science job trends and covers 10 modules on data science topics including machine learning techniques in R.
This document discusses projects involving hardware and software for educational purposes. It describes using an LCD projector, digital camera, printer, interactive whiteboard, Microsoft Word, spreadsheet software, and slide presentation software. It also mentions creating and using blogs and Google Groups. Examples of projects include demonstrating points of concurrency in triangles using paper folding activities and Geogebra. The document emphasizes that integrating technology into the curriculum can have significant positive impacts on student achievement.
This document outlines a unit plan for teaching students about surface area and volume by having them compare different aquaculture tanks. Students will measure dimensions of 4 tanks to calculate their volumes and determine which can hold the most fish. They will produce a paragraph with their calculations and tank sketches. The unit aims to help students understand surface area and volume formulas and apply them to real-world problems. Assessment will include group and individual tasks, presentations, tests, and reflections.
The document discusses creating a positive digital footprint and educating students about managing their online presence. It emphasizes that schools must model good digital citizenship and teach students practical skills to curate positive digital footprints through empowerment and education. Recommended readings on digital literacy and managing online identities are also provided.
The document discusses calculating the area of parallelograms using the formula A = bh, where A is the area, b is the base, and h is the height. It provides examples of finding the area of various parallelograms given the base and height measurements. It also discusses identifying the height of a parallelogram as the line segment perpendicular to the base. Students are asked to calculate heights, bases, and areas of parallelograms from diagrams and to determine whether diagrams correctly identify parallelogram heights.
Moving from Nice to Necessary: Academic Libraries and Communities Collaborat...Buffy Hamilton
This document outlines a presentation on academic libraries collaboratively composing participatory practices of learning. It discusses moving from traditional library roles to more participatory roles where libraries cultivate a climate of participatory learning. Libraries are encouraged to grow a culture of inquiry and conversation with faculty and students through activities like clubs, idea boxes, and learning communities. Trust agents and participatory librarianship are presented as ways to promote conversations and participation within the community.
Developing Computational Skills in the Sciences with Matlab Webinar 2017SERC at Carleton College
This document summarizes a workshop on teaching computational skills in the sciences using MATLAB. The workshop included strategies for teaching data analysis, modeling, and computation through domain-focused courses. Presenters provided teaching activities and resources for conveying these skills with MATLAB. Three professors demonstrated representative activities involving geophone layout simulation, building modular visualization tools, and principal component analysis. The workshop aimed to provide a community for peer educators to share resources and approaches for effectively teaching computational skills in science fields using MATLAB.
Data science is having a growing effect on our lives, from the content we see on social media feeds to the decisions businesses are making. Along with successes, data science has inspired much hype about what it is and what it can do. So I plan to try and demystify data science and have a discussion about what it really is. What does a day-in-the-life look like? What tools and skills are needed? How is data science successfully applied in the real world? In this talk, I’ll be providing insight into these questions and also speculate the future of data science and its place in business and technology.
Presented at OpenWest 2018
The document provides an overview of mathematical modeling. It defines mathematical modeling as creating a mathematical representation of a phenomenon to better understand it by matching observations with symbolic representations and informing theory and explanation. The success of a model depends on how accurately it predicts and explains the phenomenon. Other terms for mathematical modeling include computer modeling, computer simulation, and computational mathematics. The document discusses how mathematical modeling fits into the scientific method and outlines typical problem-solving steps for mathematical modeling projects.
ER&L 2016 Using the scrum project management methodology to create a comprehe...Galadriel Chilton
Commonly used in software development, Scrum is a simple and practical project management methodology. This presentation will demonstrate how using Scrum to develop a framework for a comprehensive review of e-resource collections kept the project on task, strengthened the project's deliverables, increased team morale, and resulted in equitable task distribution.
This document introduces materials to help write assessment items for the Smarter Balanced mathematics tests, including the Common Core State Standards, Content Specifications, and Item Specifications. It defines the Depth of Knowledge framework and describes how the standards and specifications are structured. Sample items are provided at different Depth of Knowledge levels to illustrate cognitive complexity. The Content Specifications outline the claims and targets assessed at each grade and provide a cognitive rigor matrix.
This document discusses using lively applications to introduce college algebra and precalculus topics. It provides examples of applications related to piecewise functions, exponential functions, and curve fitting. These examples start with a real-world context to engage students and introduce new concepts. The document emphasizes using applications to encourage mathematical thinking, make connections between topics, and balance conceptual understanding with skills and technology.
This document outlines a unit plan for exploring cyclical motion and trigonometry concepts across chapters 3 and 5. It includes examples of cyclical motion, project objectives to understand sine functions and represent real data mathematically. Activities are described to search for examples online, collect spring lab data to graph and model with regression, and create a report using presentation software. A final project involves using mathematics to represent a real-world situation of cyclical motion in a PowerPoint presentation with examples provided.
Engage the Core: Learn, Curate, Organize and Engage the Common Corebcurran
This document provides resources for organizing and exploring the Common Core State Standards, including websites for curating resources, organizing materials using tools like Diigo and LiveBinders, and examples of English Language Arts standards related to writing, speaking, and using technology. It also provides contact information for the author to get more information and help with using the Common Core standards.
The document provides information about an Engaging Educators presentation given by Benjamin Curran on November 2, 2011, including what was discussed, why it was discussed, how it was presented, and questions. It also lists several related websites and resources for book clubs, global education, Skype in education, online libraries, and Engaging Educators. Contact information is provided at the end.
Common Sense for the Common Core: Part Two (assessment edition)bcurran
This document summarizes information about Common Core math assessments. It discusses the two main assessment consortia, Smarter Balanced and PARCC, including timelines and sample problems. It provides an overview of the Standards for Mathematical Practice and Content. Examples of 4th grade math problems are presented in selected response and constructed response formats along with a scoring rubric. Resources for further information are listed at the end.
This wiki project is for Room 310. It will serve as a central place to share information about the room. Photos of the room can be found on Flickr at the URL listed in the document.
The document discusses the concept of the "Principal 2.0", which refers to a school principal who utilizes digital tools and social networks to better connect with other educators, access new resources, and lead their school community. It recommends that principals expand their "toolkit" by using free platforms like Twitter, Google Reader, and Blogger to connect with peers, stay informed, and share ideas. The presentation provides an overview of how these tools work and key strategies for using them effectively as part of becoming a modern, connected principal.
The document discusses wikis and their uses for education. It begins with common questions about wikis, explaining that they are websites that allow anyone to easily create and edit pages without technical skills. It then outlines several benefits of wikis for classrooms, including facilitating collaboration on group projects, serving as platforms for discussion boards and study guides, and allowing students to create online stories and glossaries together. The document also provides step-by-step instructions for setting up wikis using the Pbwiki platform and introduces other related web 2.0 tools like blogs, podcasts, and social bookmarking.
This document provides an introduction to stocks and the stock market for fifth grade students. It defines what a stock is, explains that companies issue stock to raise money, and that stockholders become part-owners of a company. It describes how students can purchase stocks through a brokerage and that their money goes to the corporation to pay expenses. It outlines how students can make a profit if they sell stocks for more than they purchased them for. The assignment asks students to create a hypothetical $10,000 portfolio of 10 stocks from different sectors to track over six weeks.
Application of Clustering in Data Science using Real-life Examples Edureka!
This document outlines an Edureka webinar on applications of clustering in real life. The webinar instructor is Kumaran Ponnambalam. The objectives are to understand data science applications and prospects, machine learning categories, clustering and k-means clustering. Examples of clustering applications include wine recommendation, pizza delivery optimization, and news summarization. K-means clustering is demonstrated on pizza delivery location data. The webinar also discusses data science job trends and covers 10 modules on data science topics including machine learning techniques in R.
This document discusses projects involving hardware and software for educational purposes. It describes using an LCD projector, digital camera, printer, interactive whiteboard, Microsoft Word, spreadsheet software, and slide presentation software. It also mentions creating and using blogs and Google Groups. Examples of projects include demonstrating points of concurrency in triangles using paper folding activities and Geogebra. The document emphasizes that integrating technology into the curriculum can have significant positive impacts on student achievement.
This document outlines a unit plan for teaching students about surface area and volume by having them compare different aquaculture tanks. Students will measure dimensions of 4 tanks to calculate their volumes and determine which can hold the most fish. They will produce a paragraph with their calculations and tank sketches. The unit aims to help students understand surface area and volume formulas and apply them to real-world problems. Assessment will include group and individual tasks, presentations, tests, and reflections.
The document discusses creating a positive digital footprint and educating students about managing their online presence. It emphasizes that schools must model good digital citizenship and teach students practical skills to curate positive digital footprints through empowerment and education. Recommended readings on digital literacy and managing online identities are also provided.
The document discusses calculating the area of parallelograms using the formula A = bh, where A is the area, b is the base, and h is the height. It provides examples of finding the area of various parallelograms given the base and height measurements. It also discusses identifying the height of a parallelogram as the line segment perpendicular to the base. Students are asked to calculate heights, bases, and areas of parallelograms from diagrams and to determine whether diagrams correctly identify parallelogram heights.
Moving from Nice to Necessary: Academic Libraries and Communities Collaborat...Buffy Hamilton
This document outlines a presentation on academic libraries collaboratively composing participatory practices of learning. It discusses moving from traditional library roles to more participatory roles where libraries cultivate a climate of participatory learning. Libraries are encouraged to grow a culture of inquiry and conversation with faculty and students through activities like clubs, idea boxes, and learning communities. Trust agents and participatory librarianship are presented as ways to promote conversations and participation within the community.
Developing Computational Skills in the Sciences with Matlab Webinar 2017SERC at Carleton College
This document summarizes a workshop on teaching computational skills in the sciences using MATLAB. The workshop included strategies for teaching data analysis, modeling, and computation through domain-focused courses. Presenters provided teaching activities and resources for conveying these skills with MATLAB. Three professors demonstrated representative activities involving geophone layout simulation, building modular visualization tools, and principal component analysis. The workshop aimed to provide a community for peer educators to share resources and approaches for effectively teaching computational skills in science fields using MATLAB.
Data science is having a growing effect on our lives, from the content we see on social media feeds to the decisions businesses are making. Along with successes, data science has inspired much hype about what it is and what it can do. So I plan to try and demystify data science and have a discussion about what it really is. What does a day-in-the-life look like? What tools and skills are needed? How is data science successfully applied in the real world? In this talk, I’ll be providing insight into these questions and also speculate the future of data science and its place in business and technology.
Presented at OpenWest 2018
The document provides an overview of mathematical modeling. It defines mathematical modeling as creating a mathematical representation of a phenomenon to better understand it by matching observations with symbolic representations and informing theory and explanation. The success of a model depends on how accurately it predicts and explains the phenomenon. Other terms for mathematical modeling include computer modeling, computer simulation, and computational mathematics. The document discusses how mathematical modeling fits into the scientific method and outlines typical problem-solving steps for mathematical modeling projects.
ER&L 2016 Using the scrum project management methodology to create a comprehe...Galadriel Chilton
Commonly used in software development, Scrum is a simple and practical project management methodology. This presentation will demonstrate how using Scrum to develop a framework for a comprehensive review of e-resource collections kept the project on task, strengthened the project's deliverables, increased team morale, and resulted in equitable task distribution.
This document introduces materials to help write assessment items for the Smarter Balanced mathematics tests, including the Common Core State Standards, Content Specifications, and Item Specifications. It defines the Depth of Knowledge framework and describes how the standards and specifications are structured. Sample items are provided at different Depth of Knowledge levels to illustrate cognitive complexity. The Content Specifications outline the claims and targets assessed at each grade and provide a cognitive rigor matrix.
This document discusses using lively applications to introduce college algebra and precalculus topics. It provides examples of applications related to piecewise functions, exponential functions, and curve fitting. These examples start with a real-world context to engage students and introduce new concepts. The document emphasizes using applications to encourage mathematical thinking, make connections between topics, and balance conceptual understanding with skills and technology.
This document outlines a unit plan for exploring cyclical motion and trigonometry concepts across chapters 3 and 5. It includes examples of cyclical motion, project objectives to understand sine functions and represent real data mathematically. Activities are described to search for examples online, collect spring lab data to graph and model with regression, and create a report using presentation software. A final project involves using mathematics to represent a real-world situation of cyclical motion in a PowerPoint presentation with examples provided.
A teacher's day begins with waking up and preparing for work on their iPod. At school, the teacher uses a SMARTboard to lead workshops for students based on three pedagogical principles: engaging student preconceptions, building knowledge networks, and promoting metacognition. The teacher engages students in activities like "Watch It, Do It, Teach It" and reflects on their own teaching. After school, the teacher continues learning through online conferences, reading, and maintaining class blogs.
This document provides a four-step framework for using digital images in mathematics education: 1) Acquire images by having students take photos in their environment to find examples of mathematical concepts, 2) Analyze images by having students solve math problems based on the photos, 3) Create educational products using the images like slideshows or posters, 4) Communicate the products to share their work. Examples are given for each step like having students find and analyze geometric shapes around the school or using photos to illustrate math word problems.
The document summarizes the progress made on a design project to develop an immersive virtual reality learning tool to help students understand complex engineering drawing topics like projection and section of solids. It describes the objectives, literature review conducted, user research including interviews with students and instructors to identify problems, prototyping done to test different solids and rotations, a second literature review on evaluation methods, and plans for an empirical study including development of test materials and questionnaires.
The document discusses using Lego Mindstorms exercises to teach engineering fundamentals to first-year university students. It outlines the existing exercise at Cambridge University Engineering Department, which introduces students to practices like programming in Matlab. The author observed three categories of student teams in previous years' exercises. The document reviews literature on problem-based learning and project-based learning approaches to teaching. It aims to improve the exercise by developing additional example models for students to build upon to reduce the number of teams that struggle.
1.2 Motivating Challenges As mentioned earlier, traditional dataSantosConleyha
1.2 Motivating Challenges
As mentioned earlier, traditional data analysis techniques have often encountered practical difficulties in meeting the challenges posed by big data applications. The following are some of the specific challenges that motivated the development of data mining.
Scalability
Because of advances in data generation and collection, data sets with sizes of terabytes, petabytes, or even exabytes are becoming common. If data mining algorithms are to handle these massive data sets, they must be scalable. Many data mining algorithms employ special search strategies to handle exponential search problems. Scalability may also require the implementation of novel data structures to access individual records in an efficient manner. For instance, out-of-core algorithms may be necessary when processing data sets that cannot fit into main memory. Scalability can also be improved by using sampling or developing parallel and distributed algorithms. A general overview of techniques for scaling up data mining algorithms is given in Appendix F.
High Dimensionality
It is now common to encounter data sets with hundreds or thousands of attributes instead of the handful common a few decades ago. In bioinformatics, progress in microarray technology has produced gene expression data involving thousands of features. Data sets with temporal or spatial components also tend to have high dimensionality. For example,
consider a data set that contains measurements of temperature at various locations. If the temperature measurements are taken repeatedly for an extended period, the number of dimensions (features) increases in proportion to the number of measurements taken. Traditional data analysis techniques that were developed for low-dimensional data often do not work well for such high-dimensional data due to issues such as curse of dimensionality (to be discussed in Chapter 2 ). Also, for some data analysis algorithms, the computational complexity increases rapidly as the dimensionality (the number of features) increases.
Heterogeneous and Complex Data
Traditional data analysis methods often deal with data sets containing attributes of the same type, either continuous or categorical. As the role of data mining in business, science, medicine, and other fields has grown, so has the need for techniques that can handle heterogeneous attributes. Recent years have also seen the emergence of more complex data objects. Examples of such non-traditional types of data include web and social media data containing text, hyperlinks, images, audio, and videos; DNA data with sequential and three-dimensional structure; and climate data that consists of measurements (temperature, pressure, etc.) at various times and locations on the Earth’s surface. Techniques developed for mining such complex objects should take into consideration relationships in the data, such as temporal and spatial autocorrelation, graph connectivity, and parent-child relationships between ...
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Special TechSoup offer for a free 180 days membership, and up to $150 in discounts on eligible orders.
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Common Sense for the Common Core: Math Edition
1. Common Sense for the Common Core:
Mathematics Edition
Part One
Sponsored by: TenMarks
Presented by:
Ben Curran & Neil Wetherbee
Engaging Educators
2. Agenda
• Explore the Common Core Shifts
– Focus
– Coherence
– Rigor
• Engage the Common Core
– Collaboration
– Resources
• October 17 Preview
• Contact Info
8. 1.OA.2
Solve word problems that call for addition
of three whole numbers whose sum is less
than or equal to 20, e.g., by using objects,
drawings, and equations with a symbol for
the unknown number to represent the
problem.
9. 2.OA.1
Use addition and subtraction within 100 to
solve one- and two-step word problems
involving situations of adding to, taking
from, putting together, taking apart, and
comparing, with unknowns in all
positions, e.g., by using drawings and
equations with a symbol for the unknown
number to represent the problem.
10. 3.OA.8
Solve two-step word problems using the
four operations. Represent these problems
using equations with a letter standing for
the unknown quantity. Assess the
reasonableness of answers using mental
computation and estimation strategies
including rounding.
11. 4.OA.3
Solve multistep word problems posed with
whole numbers and having whole-number
answers using the four operations,
including problems in which remainders
must be interpreted. Represent these
problems using equations with a letter
standing for the unknown quantity. Assess
the reasonableness of answers using
mental computation and estimation
strategies including rounding.
14. 6.G.2
Find the volume of a right rectangular
prism with fractional edge lengths by
packing it with unit cubes of the
appropriate unit fraction edge lengths, and
show that the volume is the same as
would be found by multiplying the edge
lengths of the prism.
17. From 6.RP.3
Solve unit rate problems including those
involving unit pricing and constant speed.
For example, if it took 7 hours to mow 4
lawns, then at that rate, how many lawns
could be mowed in 35 hours? At what rate
were lawns being mowed?
18. 3.MD.1
Tell and write time to the nearest minute
and measure time intervals in minutes.
Solve word problems involving addition
and subtraction of time intervals in minutes
20. 3.NBT.2
Fluently add and subtract within 1000
using strategies and algorithms based on
place value, properties of
operations, and/or the relationship
between addition and subtraction.
21. 6.NS.3
Fluently add, subtract, multiply, and divide
multi-digit decimals using the standard
algorithm for each operation.
22. Expected Fluencies
GRADE FLUENCY
K Add/Subtract within 5
1 Add/Subtract within 10
2 Add/Subtract within 20 (mentally)
Add/Subtract within 100
3 Multiply/Divide within 100
Add/Subtract within 1000
4 Add/subtract within 1,000,000
5 Multi-digit multiplication
6 Multi-digit division
Multi-digit decimal operations
Our mission—learn as much as we can, share it with other educators in helpful ways, ways that make sense.
Big resource: achievethecore.org, founded by several authors of the ccss. Our hope is to present some of the ideas found there in a way that’s easy to understand. If survey tool available, get grade levels and CCSS experience/knowledge level. Encourage question box use.
No more racing to cover topics in a mile-wide, inch deep curriculum. Teachers are asked to focus on the major work of each grade. Key priorities are identified and specifically named in the standards.
Coherent progressions from grade to grade. Build on previous years. Each year is an extension of all the learning before it.
Example of coherence in the standards for operations and algebraic thinking in grades 1 – 4.
Not so easy to define, but the CCSS identifies 3 elements to rigor
Students should see mathematics as more than just a series of steps to follow.
Just an example of conceptual understanding
Math is supported and taught in context.
Examples of standards with application built in
Speed, accuracy, and calculation. Practice and fluency gives students access to more complex work.
Examples of fluency explicitly stated in the standards
Of course these shifts are not the only changes. Spending time digging into your grade level’s standards will be revealing. You’ll notice how content has been shifted around. Many early grade teachers notice shifts in when students learn about money and time. Upper elementary teachers notice the absence of requirements about reducing fractions to lowest terms. And middle and high school students have noted that there are no requirements to simplify expressions.REMEMBER: The standards clearly state that they represent WHAT to teach, not HOW to teach it. (and they also clearly state that they should represent the floor, not the ceiling. In other words, if you want to require your students to reduce fractions, that’s up to you.) Have a question? Now’s when we’d usually take them, but to keep things going, please jot it down or add it to the questions box in your control panel.
Get active…collaborate and connect. The change is going to be defined and made possible by teachers. Engage the standards, don’t just let them be forced upon you.
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Please add your questions to the question box, we’ll be answering them shortly.
We’ll be looking at the information and examples that are coming out of the two consortia charged with designing and creating assessments.