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13.1: New Page - Mathematics


13.1: New Page - Mathematics

13.1: New Page - Mathematics

Everyday Mathematics is divided into Units, which are divided into Lessons. In the upper-left corner of the Home Link, you should see an icon like this:


The Unit number is the first number you see in the icon, and the Lesson number is the second number. In this case, the student is working in Unit 5, Lesson 4. To access the help resources, you would select "Unit 5" from the list above, and then look for the row in the table labeled "Lesson 5-4."

Everyday Mathematics for Parents: What You Need to Know to Help Your Child Succeed

The University of Chicago School Mathematics Project

University of Chicago Press


Hey Siri

There are a few ways to get Siri's attention.

CNET's best phones for 2021

  • Press and hold the home button to activate Siri and issue her a command or ask her a question. iPhone X users will need to hold in the side button
  • If you're using Apple's Earpods, press and hold the center button to activate Siri and issue her a command or ask her a question.
  • If you're using Apple's AirPods, double-tap on either 'pod to activate Siri and issue her a command or ask her a question.
  • If you have Hey Siri enabled and an iPhone 6 or earlier, say "Hey, Siri" when your iPhone is plugged in and charging, followed by a command or question. Those who own an iPhone 6S or newer, "Hey, Siri" works regardless if the phone is plugged in.
  • On a Mac, you can create a dedicated keyboard shortcut to bring up Siri, use a trick to enable "Hey Siri," or click on the Siri icon in the menu bar to issue a command or ask a question.

UP Board Solutions for Class 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1

UP Board Solutions for Class 11

    (गणित) (भौतिक विज्ञान) (रसायन विज्ञान) (जीव विज्ञान) (अंग्रेज़ी) (साहित्यिक हिंदी) (सामान्य हिंदी)
  • UP Board Solutions for Class 11 Sanskrit (संस्कृत) (भूगोल) (इतिहास) (Political Science) (नागरिकशास्त्र) (अर्थशास्त्र) (समाजशास्‍त्र) (मनोविज्ञान) (शिक्षाशास्त्र)

UP Board Solutions for Class 12

    (गणित) (भौतिक विज्ञान) (रसायन विज्ञान) (जीव विज्ञान) (साहित्यिक हिंदी) (सामान्य हिंदी) (संस्कृत) (भूगोल) (इतिहास) (नागरिकशास्त्र) (अर्थशास्त्र) (समाजशास्‍त्र) (मनोविज्ञान) (कम्प्यूटर) (गृह विज्ञान) (शिक्षाशास्त्र)

UP Board Solutions for Class 9

UP Board Solutions for Class 10

UP Board Solutions for Class 8

    (गणित) (विज्ञान : आओ समझें विज्ञान) (हिंदी : मंजरी, महान व्यक्तिव) (अंग्रेज़ी) (संस्कृत पीयूषम्) (इतिहास : हमारा इतिहास और नागरिक जीवन) (भूगोल : पृथ्वी और हमारा जीवन) (पर्यावरण : हमारा पर्यावरण) (खेलकूद : खेल और स्वास्थ्य) (गृहशिल्प) (कृषि विज्ञान) (कम्प्यूटर शिक्षा)

UP Board Solutions for Class 7

    (गणित) (विज्ञान : आओ समझें विज्ञान) (हिंदी : मंजरी, महान व्यक्तिव) (अंग्रेज़ी) (संस्कृत पीयूषम्) (इतिहास : हमारा इतिहास और नागरिक जीवन) (भूगोल : पृथ्वी और हमारा जीवन) (पर्यावरण : हमारा पर्यावरण) (खेलकूद : खेल और स्वास्थ्य) (गृहशिल्प) (कृषि विज्ञान) (कम्प्यूटर शिक्षा)

UP Board Solutions for Class 6

    (गणित) (विज्ञान : आओ समझें विज्ञान) (हिंदी : मंजरी, महान व्यक्तिव) (अंग्रेज़ी) (संस्कृत पीयूषम्) (इतिहास : हमारा इतिहास और नागरिक जीवन) (भूगोल : पृथ्वी और हमारा जीवन) (पर्यावरण : हमारा पर्यावरण) (खेलकूद : खेल और स्वास्थ्य) (गृहशिल्प) (कृषि विज्ञान) (कम्प्यूटर शिक्षा)

UP Board Solutions for Class 5

UP Board Solutions for Class 4

UP Board Solutions for Class 3

UP Board Solutions for Class 2

We hope the given यूपी बोर्ड सलूशन UP Board Solutions for Class 12th, 11th, 10th, 9th, 8th, 7th, and 6th, 5th, 4th, 3rd, 2nd, 1st all subjects will help you. If you have any query regarding UP Board Books Solutions, drop a comment below and we will get back to you at the earliest.


We would like to congratulate Editorial Board member Jeff Cheeger,who along with Jean-Michel Bismut, has been awarded the 2021 Shaw Prize in Mathematical Sciences. The selection committee cited "their remarkable insights that have transformed, and continue to transform, modern geometry". In celebration of the award, we have made three recent articles by Jeff Cheeger published in the journal free-to-read for the next three months.

Critical Sets of Elliptic Equations by Jeff Cheeger, Aaron Naber, Daniele Valtorta (68.2)


Neuromyth #4: Teenagers lack the ability to control their impulses in the classroom

Where It Comes From: Adolescence is often discussed as a time of storm and stress. Over the past few years, numerous neuroscientists have tried to explain why teenagers have a penchant for risky and often impulsive behaviors—a trait that is usually outgrown by the time they reach adulthood. Larry Steinberg, a researcher at Temple University, has demonstrated that critical connections between the motivational centers of the brain and the prefrontal cortex, the brain’s executive control center, do not fully mature until after adolescence—suggesting that there is a lack of coordination between two key brain systems that results in poor impulse control. This dual-systems framework has led many to suggest that the teen brain renders adolescents unable to self-govern—and teachers should take this into consideration when trying to manage middle and high school classrooms.

The Reality: Steinberg’s dual-systems framework has offered neuroscientists great insights into how the brain matures and develops—but Abigail Baird, a neuroscientist at Vassar College and DABI member, says we need to be careful that we aren’t taking this idea of poor neural coordination too far.

“People want to say, ‘Oh, this boy can’t self-regulate because his frontal lobes aren’t mature yet.’ These assumptions make us prone to lowering our expectations beyond what is useful. One of the easiest ways to debunk the neuromyth that adolescents can’t self-regulate is to simply watch them with their peers,” says Baird. “Because in peer-related settings, we do see adolescents self-regulate wonderfully. They do it all the time. Think about it: most teens would never violate something that their peers thought was uncool. They don’t use outdated slang or a lame emoji. They are constantly checking themselves against what they should and should not be doing socially, you know, the things that are most important at this age.”

According to Baird, despite a lack of maturity in critical frontal lobe connections, even young children can self-regulate when motivated. But children tend to do so where they see rewards or direct benefit to themselves. And teachers can help teens self-regulate by making lesson plans more interesting and relevant—and by imposing consequences for inappropriate behavior.

“One important function of adolescence is having and acting on new, and even potentially risky, impulses so you can make mistakes and learn from experiences before you are expected to act like an adult. It’s really quite functional. Not having extraordinary self-regulation enables some developing teens to gain experience and this experience ultimately helps the frontal lobe mature,” she says. “But until then, adults and teachers can help teens out by acting as an external version of that frontal lobe system. We can allow them the space they need to question and rebel and figure things out while also making sure they understand that there are consequences when those behaviors go too far.” (Read more about teen behavior in our briefing paper, “ A Delicate Balance: Risks, Rewards, and the Adolescent Brain .”)


Volume of Cylinders

Solid geometry is concerned with three-dimensional shapes.



How to find the Volume of Solid Cylinders?

A cylinder is a solid with two congruent circles joined by a curved surface.

In the above figure, the radius of the circular base is r and the height is h.

The volume of the cylinder is the area of the base × height. Since the base is a circle and the area of a circle is &pir 2 then the volume of the cylinder is &pir 2 × h.

Volume of cylinder = &pir 2 h

Calculate the volume of a cylinder where:

a) the area of the base is 30 cm 2 and the height is 6 cm.
b) the radius of the base is 14 cm and the height is 10 cm.

a) V = Area of base × height
= 30 cm 2 × 6 am
= 180 cm 3

Sometimes you may be required to calculate the volume of a hollow cylinder or tube or pipe.

Volume of hollow cylinder:
= &piR 2 h &ndash &pir 2 h
= &pih (R 2 &ndash r 2 )

The figure shows a section of a metal pipe. Given the internal radius of the pipe is 2 cm, the external radius is 2.4 cm and the length of the pipe is 10 cm. Find the volume of the metal used.

The cross section of the pipe is a ring:
Area of ring = [ &pi (2.4) 2 &ndash &pi (2) 2 ]= 1.76 &pi cm 2

Volume of pipe = 1.76 &pi × 10 = 55.3 cm 3
Volume of metal used = 55.3 cm 3

These videos show how to solve word problems about cylinders.

Examples:
1. A cylindrical can is packed in a box. What is the volume of empty space between the can and the box?

2. Emma has two prism-shaped containers. One has a volume of 9 1/3 cubic feet. How many smaller prisms would it take to fill the larger prism?

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.


So, How Does the Golden Ratio Work?


One of the special properties of the Golden Ratio is that it can be defined in terms of itself, like this:
(In numbers: 1.61803. = 1 + 1/1.61803. )
That can be expanded into this fraction that goes on for ever (called a "continued fraction"):

So, it neatly slips in between simple fractions.


One app for every team

Our intuitive scorekeeping experience makes scoring your games easier than ever. You’ll gather stats allowing you to make informed decisions to help your team win.

• Simple and powerful scorekeeping
• 150+ season stats to track and improve performance
• Batting and pitching spray charts
• Set starting lineups to save time before games
• Follow along with Live Animated GameStream
• Live Play-by-Play with GameStream Radio

Our intuitive scorekeeping experience makes scoring your games easier than ever. You’ll gather stats allowing you to make informed decisions to help your team win.

• Simple and powerful scorekeeping
• 150+ season stats to track and improve performance
• Batting and pitching spray charts
• Set starting lineups to save time before games
• Follow along with Live Animated GameStream
• Live Play-by-Play with GameStream Radio

Team staff can score the game, which allows family, fans, and players who can’t be there in person to follow the game score via the animated GameStream Fan Experience.

• Simple and intuitive scorekeeping
• Stats to track and improve performance (for your own team)
• Points, rebounds, assists, steals, and turnovers
• Set starting lineups to save time before games
• Follow along with Live Animated GameStream


List of the First 10 Amendments

This list includes the 10 amendments that comprise the Bill of Rights. Each amendment is listed first, along with the specific wording of the amendment, followed by a brief explanation.

Amendment 1

"Congress shall make no law respecting an establishment of religion, or prohibiting the free exercise thereof or abridging the freedom of speech, or of the press or the right of the people peaceably to assemble, and to petition the government for a redress of grievances."

The First Amendment is, to many Americans, the most sacred because it protects them from persecution over their religious beliefs and government sanctions against the expression of opinions, even those that are unpopular. The First Amendment also prevents the government from interfering with journalists' responsibility to serve as watchdogs.

Amendment 2

"A well regulated militia, being necessary to the security of a free state, the right of the people to keep and bear arms, shall not be infringed."

The Second Amendment is one of the most cherished, and divisive, clauses in the Constitution. Advocates for the right of Americans to carry guns believe the Second Amendment guarantees the right to do so. Those who argue that the United States should do more to regulate guns point to the phrase "well regulated." Gun-control opponents say the Second Amendment merely allows states to maintain militia organizations such as the National Guard.

Amendment 3

"No soldier shall, in time of peace be quartered in any house, without the consent of the owner, nor in time of war, but in a manner to be prescribed by law."

This is one of the simplest and clearest amendments. It forbids the government from forcing private-property owners to house members of the military.

Amendment 4

"The right of the people to be secure in their persons, houses, papers, and effects, against unreasonable searches and seizures, shall not be violated, and no warrants shall issue, but upon probable cause, supported by oath or affirmation, and particularly describing the place to be searched, and the persons or things to be seized."

The Fourth Amendment protects the privacy of Americans by prohibiting the search and seizure of property without cause. "Its reach is indescribably broad: every one of the millions of arrests made annually is a Fourth Amendment event. So too is every search of every person or private area by a public official, whether a police officer, schoolteacher, probation officer, airport security agent, or corner crossing guard," writes the Heritage Foundation.

Amendment 5

"No person shall be held to answer for a capital, or otherwise infamous crime, unless on a presentment or indictment of a grand jury, except in cases arising in the land or naval forces, or in the militia, when in actual service in time of war or public danger nor shall any person be subject for the same offense to be twice put in jeopardy of life or limb nor shall be compelled in any criminal case to be a witness against himself, nor be deprived of life, liberty, or property, without due process of law nor shall private property be taken for public use, without just compensation."

The most common use of the Fifth Amendment is the right to avoid incriminating oneself by refusing to answer questions at a criminal trial. The amendment also guarantees Americans' due process.

Amendment 6

"In all criminal prosecutions, the accused shall enjoy the right to a speedy and public trial, by an impartial jury of the state and district wherein the crime shall have been committed, which district shall have been previously ascertained by law, and to be informed of the nature and cause of the accusation to be confronted with the witnesses against him to have compulsory process for obtaining witnesses in his favor, and to have the assistance of counsel for his defense."

While this amendment seems clear, the Constitution doesn't actually define what a speedy trial is. It does, however, guarantee those accused of crimes a decision on guilt or innocence made by their peers in a public setting. That is an important distinction. Criminal trials in the United States take place in full public view, not behind closed doors, so they are fair and impartial and subject to judgment and scrutiny by others.

Amendment 7

"In suits at common law, where the value in controversy shall exceed twenty dollars, the right of trial by jury shall be preserved, and no fact tried by a jury, shall be otherwise reexamined in any court of the United States, than according to the rules of the common law."

Even if certain crimes rise to the level of being prosecuted at the federal level, and not the state or local, defendants are still guaranteed a trial before a jury of their peers.

Amendment 8

"Excessive bail shall not be required, nor excessive fines imposed, nor cruel and unusual punishments inflicted."

This amendment protects those convicted of crimes from excessive jail time and unjust capital punishment.

Amendment 9

"The enumeration in the Constitution, of certain rights, shall not be construed to deny or disparage others retained by the people."

This provision was meant as a guarantee that Americans hold rights outside of just those specified in the first 10 amendments. "Because it was impossible to enumerate all the rights of the people, a bill of rights might actually be construed to justify the government’s power to limit any liberties of the people that were not enumerated," states the Constitution Center. Thus the clarification that many other rights exist outside of the Bill of Rights.

Amendment 10

"The powers not delegated to the United States by the Constitution, nor prohibited by it to the states, are reserved to the states respectively, or to the people."