The document discusses proportional reasoning and focuses on sense-making. It emphasizes using multiple strategies to solve problems and communicating explanations in various ways. Proportional reasoning involves understanding multiplicative relationships, such as ratios, rates, proportions, unit prices, and percents. Representing problems with bar models and ratio tables can help make sense of these relationships. The document also provides examples of proportional reasoning problems and tasks involving missing values and comparisons.
Math 2 Times Table, Place Value and Decimals : Grades 3 – 4VSA Future LLC
Learn and practice multiplication and division, dividing fractions, or using algebra to solve complex word problems, students are building their math fluency and using deductive reasoning skills to problem solve.
Enhance your children's division skills with our incredible teaching, activity and display resource pack! Includes a comprehensive guide to the topic, printable activity resources for independent and group work, as well as handy display and reference materials.
Available from http://www.teachingpacks.co.uk/the-division-pack/
Helping parents to understand the correct method of teaching their children Algebra / Mathematics / Math can be tricky.
There are many pit-falls in helping children with their homework because many of the ways we were taught are out of date.
Try this simple free online lesson and watch as your child learns how to do Simple Division by following this step-by-step guide.
Power point is just like the name says a powerful tool for learning. I think that you can engage students not just through words, but also through visuals. Some students learn better by hearing, but other students learn better by seeing. Recently, i create this power point to evaluate my students, i am looking forward to see your comments!
Slides for my 10 min introduction to our afternoon discussing Proportional Reasoning across the grades from 7 to 12. This talk features an AP Calculus problem and explores the proportional reasoning skills students need to understand and successfully solve it.
Math 2 Times Table, Place Value and Decimals : Grades 3 – 4VSA Future LLC
Learn and practice multiplication and division, dividing fractions, or using algebra to solve complex word problems, students are building their math fluency and using deductive reasoning skills to problem solve.
Enhance your children's division skills with our incredible teaching, activity and display resource pack! Includes a comprehensive guide to the topic, printable activity resources for independent and group work, as well as handy display and reference materials.
Available from http://www.teachingpacks.co.uk/the-division-pack/
Helping parents to understand the correct method of teaching their children Algebra / Mathematics / Math can be tricky.
There are many pit-falls in helping children with their homework because many of the ways we were taught are out of date.
Try this simple free online lesson and watch as your child learns how to do Simple Division by following this step-by-step guide.
Power point is just like the name says a powerful tool for learning. I think that you can engage students not just through words, but also through visuals. Some students learn better by hearing, but other students learn better by seeing. Recently, i create this power point to evaluate my students, i am looking forward to see your comments!
Slides for my 10 min introduction to our afternoon discussing Proportional Reasoning across the grades from 7 to 12. This talk features an AP Calculus problem and explores the proportional reasoning skills students need to understand and successfully solve it.
Visual thinking for service design — CanUX November 2016Boon Yew Chew
The success of service design involves an organisation's ability to restructure itself towards the design and delivery of services in a meaningful, impactful way. Visual thinking provide a powerful means for diverse teams to work through complexity. This workshop introduces visual thinking as an approach to solve service design problems, involving methods like rapid visualisation, visual sensemaking, touchpoint sketching, rich pictures, and service posters.
The best way to explain what we do is by practicing what we preach! This short visual story illustrates the range of situations where we help bring clarity and focus, and the hybrid design skills we use to move from understanding to action.
Principles of measurement including accuracy, precision and significant figures.
**More good stuff available at:
www.wsautter.com
and
http://www.youtube.com/results?search_query=wnsautter&aq=f
This presentation was provided by Steve Braun of Northeastern University Libraries during the NISO event, "Assessment Practices and Metrics for the 21st Century," held on Friday, November 16, 2018.
Data visualization & Story Telling with DataDr Nisha Arora
Storytelling with data using the appropriate visualization is a skill that is well sought-after for data-driven decision making and it spans many industries and roles (technical/non-technical).
In this presentation, we will briefly discuss the importance of understanding the context, selecting the right visuals, key points for effectively using those for storytelling, design dos, and don’ts, etc.
Saving a seat for your customer at the prototyping tableCatherine Collins
This workshop at Oredev Conference explored the different ways in which teams can include their customer in prototyping a new service, feature, product, etc.
Feel free to reach out at:
catherine@morethanmetrics.com
Twitter: @catmcollins
Making and Justifying Mathematical Decisions.pdfChris Hunter
In BC’s nearly-decade-old “new” curriculum, the curricular competencies describe the processes that students are expected to develop in areas of learning such as mathematics. They reflect the “Do” in the “Know-Do-Understand” model. Under the “Communicating” header falls the curricular competency “Explain and justify mathematical ideas and decisions.” Note that it contains two processes: “Explain mathematical ideas” and “Justify mathematical decisions.” I have broken it down into its separate parts in order to understand--or reveal--its meaning.
The first part is commonplace in classrooms. By now, BC math teachers—and students—understand that “Explain mathematical ideas” means more than “Show your work.” Teachers consistently ask “What did you do?” and “How do you know?” This process is about retelling, not just of steps but of thinking.
The second part happens less frequently. Think back to the last time that you observed a student make—a necessary precursor to justify—a mathematical decision. “Justify” is about defending. Like “explain,” it involves reasoning; unlike “explain,” it also involves opinion and debate.
In order to reinterpret the curricular competency “Explain and justify mathematical ideas and decisions,” I will continue to take apart its constituent part “Justify mathematical decisions” and carefully examine the term “mathematical decisions.” What, exactly, is a “mathematical decision”? Below, I will categorize answers to this question. These categories, and the provided examples, may help to suggest new opportunities for students to justify.
Multiplication -- More Than Repeated Addition and Times Tables.pdfChris Hunter
Multiplication is repeated addition... but it also means so much more than that! In this workshop, you will explore several fundamental meanings of this operation (e.g., equal groups, arrays and areas, how a quantity is “stretched,” etc.) through rich tasks that address each of these meanings. Also, you will explore and discuss relationships between the “basic facts.” More importantly, you will learn how to help your students see that these relationships extend to other types of numbers that they come across in BC’s intermediate and middle years mathematics curriculum (e.g., two-digit whole numbers, fractions, decimals, integers, etc.).
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdfTechSoup
In this webinar you will learn how your organization can access TechSoup's wide variety of product discount and donation programs. From hardware to software, we'll give you a tour of the tools available to help your nonprofit with productivity, collaboration, financial management, donor tracking, security, and more.
Honest Reviews of Tim Han LMA Course Program.pptxtimhan337
Personal development courses are widely available today, with each one promising life-changing outcomes. Tim Han’s Life Mastery Achievers (LMA) Course has drawn a lot of interest. In addition to offering my frank assessment of Success Insider’s LMA Course, this piece examines the course’s effects via a variety of Tim Han LMA course reviews and Success Insider comments.
Acetabularia Information For Class 9 .docxvaibhavrinwa19
Acetabularia acetabulum is a single-celled green alga that in its vegetative state is morphologically differentiated into a basal rhizoid and an axially elongated stalk, which bears whorls of branching hairs. The single diploid nucleus resides in the rhizoid.
Embracing GenAI - A Strategic ImperativePeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
Introduction to AI for Nonprofits with Tapp NetworkTechSoup
Dive into the world of AI! Experts Jon Hill and Tareq Monaur will guide you through AI's role in enhancing nonprofit websites and basic marketing strategies, making it easy to understand and apply.
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
Palestine last event orientationfvgnh .pptxRaedMohamed3
An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
How to Make a Field invisible in Odoo 17Celine George
It is possible to hide or invisible some fields in odoo. Commonly using “invisible” attribute in the field definition to invisible the fields. This slide will show how to make a field invisible in odoo 17.
The Roman Empire A Historical Colossus.pdfkaushalkr1407
The Roman Empire, a vast and enduring power, stands as one of history's most remarkable civilizations, leaving an indelible imprint on the world. It emerged from the Roman Republic, transitioning into an imperial powerhouse under the leadership of Augustus Caesar in 27 BCE. This transformation marked the beginning of an era defined by unprecedented territorial expansion, architectural marvels, and profound cultural influence.
The empire's roots lie in the city of Rome, founded, according to legend, by Romulus in 753 BCE. Over centuries, Rome evolved from a small settlement to a formidable republic, characterized by a complex political system with elected officials and checks on power. However, internal strife, class conflicts, and military ambitions paved the way for the end of the Republic. Julius Caesar’s dictatorship and subsequent assassination in 44 BCE created a power vacuum, leading to a civil war. Octavian, later Augustus, emerged victorious, heralding the Roman Empire’s birth.
Under Augustus, the empire experienced the Pax Romana, a 200-year period of relative peace and stability. Augustus reformed the military, established efficient administrative systems, and initiated grand construction projects. The empire's borders expanded, encompassing territories from Britain to Egypt and from Spain to the Euphrates. Roman legions, renowned for their discipline and engineering prowess, secured and maintained these vast territories, building roads, fortifications, and cities that facilitated control and integration.
The Roman Empire’s society was hierarchical, with a rigid class system. At the top were the patricians, wealthy elites who held significant political power. Below them were the plebeians, free citizens with limited political influence, and the vast numbers of slaves who formed the backbone of the economy. The family unit was central, governed by the paterfamilias, the male head who held absolute authority.
Culturally, the Romans were eclectic, absorbing and adapting elements from the civilizations they encountered, particularly the Greeks. Roman art, literature, and philosophy reflected this synthesis, creating a rich cultural tapestry. Latin, the Roman language, became the lingua franca of the Western world, influencing numerous modern languages.
Roman architecture and engineering achievements were monumental. They perfected the arch, vault, and dome, constructing enduring structures like the Colosseum, Pantheon, and aqueducts. These engineering marvels not only showcased Roman ingenuity but also served practical purposes, from public entertainment to water supply.
Model Attribute Check Company Auto PropertyCeline George
In Odoo, the multi-company feature allows you to manage multiple companies within a single Odoo database instance. Each company can have its own configurations while still sharing common resources such as products, customers, and suppliers.
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...Levi Shapiro
Letter from the Congress of the United States regarding Anti-Semitism sent June 3rd to MIT President Sally Kornbluth, MIT Corp Chair, Mark Gorenberg
Dear Dr. Kornbluth and Mr. Gorenberg,
The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
This Congress will not stand idly by and allow an environment hostile to Jewish students to persist. The House believes that your institution is in violation of Title VI of the Civil Rights Act, and the inability or
unwillingness to rectify this violation through action requires accountability.
Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
students that opportunity and have been hijacked to become venues for the promotion of terrorism, antisemitic harassment and intimidation, unlawful encampments, and in some cases, assaults and riots.
The House of Representatives will not countenance the use of federal funds to indoctrinate students into hateful, antisemitic, anti-American supporters of terrorism. Investigations into campus antisemitism by the Committee on Education and the Workforce and the Committee on Ways and Means have been expanded into a Congress-wide probe across all relevant jurisdictions to address this national crisis. The undersigned Committees will conduct oversight into the use of federal funds at MIT and its learning environment under authorities granted to each Committee.
• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
12. Big Idea
Students will understand that
• Thinking about how quantities are related using multiplication is essential for solving a wide variety of
problems
• Ratios, rates, and percent make comparisons easy; one term is made the same
Curricular Competencies Content
Students will be able to:
• choose correct and efficient strategies
• monitor progress to completion of task and make
necessary adjustments along the way
• propose and consider or critique alternative
strategies
• share mathematical ideas–not just steps!–needed to
solve problems (verbal & written)
• present work that is clear and easy to follow
• effectively use tables, equations, etc. to support
conclusions or arguments
Students will know that:
• two equivalent ratios represent the same
relationship
• ratio tables list equivalent ratios in an organized way
• a rate represents an infinite number of equivalent
ratios
• a unit rate (or price) is an equivalent rate where one
term is “1”
• a proportion is an expression of the equivalence of
two ratios
• proportion problems can be solved by looking for
scale factors within or between ratios
• a percent is a fanatical comparison to 100
Big
Idea(s)
Com
petencies
ratios
rates
proportions
unit price
percent
coupons
Content
Proportional reasoning helps us
make sense of multiplicative
relationships.
Use multiple strategies
to solve problems
Communicate in a variety of ways
to explain and justify ideas
27. Split Time
What’s the first question
that comes to your mind?
What’s a guess that’s too
low?
What’s a guess that’s too
high?
Write down your estimate.
What information would
be helpful to know here?
49. M
ath Challen
ge
25#
Ratios are fractions that compare two or more
quantities. Shoppers use ratios to compare prices;
cooks use them to adjust recipes. Architects and
designers use ratios to create scale drawings.
FigureThis! If all grape juice concentrates are
the same strength, which recipe would you
expect to have the strongest grape taste?
??
?
?
GRAP
E
JUICE JUN
GLE
Hint: For each recipe think about how much water
should be used with 1 cup (c.) of concentrate,
or how much concentrate should be used with
1 cup of water.
Which tastes
JUICIER
NCTM
50. Which city is “selfier”?
Anaheim, California Milan, Italy
