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Power of a Quotient
Quiz by Rachelle Truax
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Based on the PowerPoint you shared, here is a simple quiz focusing on vocabulary, exponent laws, and identifying function types. --- Quiz: Exponent Laws & Rational Exponents (3.1–3.3) Multiple Choice (5 questions) Choose the correct answer. 1. In the expression 5^3, the number 3 is called the a) base b) power c) exponent d) coefficient 2. Which law of exponents would you use to simplify (x^2)^3? a) Product rule b) Quotient rule c) Power of a power rule d) Zero exponent rule 3. According to the zero exponent law, 7^0 = a) 0 b) 1 c) 7 d) undefined 4. If the first differences in a table of values are constant, the function is a) linear b) quadratic c) exponential d) not a function 5. Which expression is equivalent to \frac{2^5}{2^3}? a) 2^2 b) 2^8 c) 2^{15} d) 2^{-2} True or False (5 questions) Write T for true or F for false. 1. When multiplying powers with the same base, you add the exponents. 2. A negative exponent means the answer will always be negative. 3. For an exponential function, the ratios of consecutive y-values are constant. 4. The power 16^{\frac{1}{2}} is equal to 8. 5. The quotient rule for exponents says \frac{x^a}{x^b} = x^{a-b}. Completion (2 questions) Fill in the blank with the correct term. 1. The _____________ rule states that when raising a power to another power, you multiply the exponents. 2. If the second differences in a table of values are constant, the function is ______________. --- Answer Key Multiple Choice 1. c) exponent 2. c) Power of a power rule 3. b) 1 4. a) linear 5. a) 2^2 True or False 6. T 7. F (a negative exponent indicates a reciprocal, not a negative value) 8. T 9. F (16^{\frac{1}{2}} = \sqrt{16} = 4) 10. T Completion 11. power of a power (or power rule) 12. quadraticGRADE 4 Module 6 Lesson 3. Interpret Remainders This PowerPoint file contains instructional aids for teachers who have purchased Into Math. It is intended to be projected to students and used in conjunction with the Student Edition and manipulatives as needed. These slides can be used to move the conversation forward in the classroom, but they should not serve as a replacement for student-centered, collaborative conversations in which students have the space they need to find an entry point, construct meaning, and build understanding. About the Slide Presentation Presenter View: Use the Presenter view to see notes while presenting. Customization: Add or delete content or notes to get the best learning experience for your classroom. 1 Problem of the Day. Which equations can be used to solve the following problem? Rita makes 40 bracelets and gives an equal number to 8 friends, including Veronica. Veronica gives 2 of the bracelets that she received to her sister. How many bracelets does Veronica have left? A. 40 – 8 = 32 32 ÷ 2 = 16 B. 40 ÷ 8 = 5 5 + 2 = 7 C. 8 + 2 = 10 40 ÷ 10 = 4 D. 40 ÷ 8 = 5 5 – 2 = 3 2 I Can. I Can solve a division problem and interpret the remainder in the context of the problem. 3 Spark Your Learning. Aiden is building solar toy cars in his science club. The cars collect and use energy from the sun for power. Aiden buys 18 wheels. Each car needs 4 wheels. How many cars can Aiden build? Show your thinking. 4 Turn and Talk. What is the remainder in this problem? What does the remainder mean? Professional Development note: Use the Professional Learning Cards to provide language routines that may help students access the meaning of the problem. 5 Build Understanding • Task 1 ACTIVITY. There are 57 students going to the science museum. Each van can take 5 students. How many vans are needed to take all the students? Use a visual model to show how the students are divided into groups of 5. 6 Turn and Talk. How can you use the whole-number quotient and remainder to answer these questions? How many vans will be full? How many students will ride in the van that is not full? Professional Development note: Use the Professional Learning Cards to provide language routines that may help students access the meaning of the problem. 7 Step It Out • Task 2 ACTIVITY.. Amanda has 73 inches of wire for a science experiment. She needs to cut all the wire into 8 identical pieces. How many inches long will each piece be? 8 Turn and Talk. Why is this problem a good situation to write the remainder as a fraction? Professional Development note: Use the Professional Learning Cards to provide language routines that may help students access the meaning of the problem. 9 Check Understanding. 1. Maya needs 44 batteries for smoke alarms. The batteries come in packs of 6. How many packs does Maya need to buy? For 44 ÷ 6, the whole-number quotient is ____ and the remainder is ____. Maya needs to buy ____ packs. Circle how you interpreted the remainder to solve the problem. 10 I Can Scale. 4 I can explain how to solve a division problem and interpret the remainder in the context of the problem. 3 I can solve a division problem and interpret the remainder in the context of the problem. 2 I can solve a division problem and identify the whole-number quotient and the remainder. 1 I can solve a division problem with a remainder. 11 Exit Ticket. Mr. Jenkins’ class is giving speeches during a 46-minute class. Each student will be able to talk for 4 minutes. How many students can give speeches? Justify your answer.Create a 20 question quiz having students identify the base and the exponent of an expression. Ask questions when students have to use the product rule and the quotient rule and the power to power exponent rules.Power of a TeacherNegative exponents and power of a powerGrade 7 Product of powers and power of a power exponent rulesEarlier in 2019 there was a lot of femicide uh girls being killed by their boyfriends because they did one or two things there are also cultures of if there is violence in terms of a marital relationship that that is fine if there's a marital rape that that is fine so you find such situations being normalized and it being also a taboo to speak about those issues the 2030 agenda for sustainable development is grounded in respect for human rights and the power of people to change the world every individual on the planet has the right to health and well-being in all aspects of their sexuality their body and their reproductive choices ensuring these rights is integral to addressing poverty education violence against women and gender equality sexual and reproductive health rights are agreed in international law they were fought for by courageous women's rights activists and advocates across a broad range of professional fields and frontline experiences by movements of all ages levels and backgrounds they are still being fought for while progress has been made globally many barriers remain especially for those most marginalized excluded or discriminated against human rights are central to delivering the 17 sustainable development goals in the sustainable development agenda indeed each sdg target is simultaneously a metric and a claim for human rights the interplay between these political commitments and human rights obligations is particularly important when it comes to achieving sexual and reproductive health rights for decades human rights-based tactics have been used to drive progress in this episode of right to a better world experts share challenges they have faced and tactics they have used to address them the challenges they describe occur in settings all around the world the strategies used are ones that they have found to be successful in their own settings viewers are encouraged to learn from these experiences and consider how tactics could be adapted to their own context when sexual and reproductive health begins with equality the discussions decisions programs and policies which follow can build towards a future where every individual is not only born free but lives free and equal in dignity and rights without violence or discrimination the time to take action is now violence against women is any act that results in or is likely to result in physical sexual or psychological harm or suffering to women this includes threats of such acts coercion or arbitrary deprivation of liberty in public or private life it happens everywhere in every country in the home in communities at work and at school crises including health and humanitarian crises frequently contribute to higher rates of violence against women violence against women is directed at women because of their status as women the consequences are dire jeopardizing women's health including sexual and reproductive health and mental health hampering their ability to participate fully in society causing tremendous physical and psychological suffering for both women and their children the majority of women survivors of violence do not disclose or seek any type of services efforts to address violence against women must recognize the many different contexts in which it occurs and the many different forms it can take the majority of violence against women is committed by an intimate partner her current or previous boyfriend or husband globally around 30 of women have experienced physical and or sexual violence by an intimate partner in their lifetime this increases the risk of acquiring an sti or in some regions hiv by 1.5 fold when a woman is experiencing violence especially from her partner she's really unable to keep safe from hiv men have power to decide how when and where sex should be done and the woman is at risk of being infected because she cannot say no schools are another setting where violence against girls can take place assault and harassment during their commute bullying sexual harassment and mental or physical abuse on school property are all challenges across various country contexts this has a direct impact on girls access to inclusive quality education a target of sdg4 and an indirect impact on many of their other human rights young girls are taking advantage of at a very young age and they do not understand the choices and the avenues whereby they can exercise their rights when it comes to sexual productive health and rights and so you find a lot of dropouts and a lot of girls also going through a lot of traumatic experiences that would be avoided if they had guidance promoting a safe and secure working environment for all is a cornerstone of sdg 8. this includes a workplace free from sexual harassment and violence but for many women especially women migrant workers and others in precarious employment this is far from reality so we went to naivasha which is a flower farm and we've met the informal workers the casual liberals working for the flower farms when for example the sexual violence cases are reported companies don't take them very seriously a wide range of tactics have been used to prevent and address violence against women and girls and to recognize it as a fundamental violation of human rights prevention of intimate partner violence is possible when interventions are informed by evidence of what works we started out by describing the problem we've now moved to research on what works what are the kinds of interventions that are successful both for preventing the problem from happening in the first place and also from interventions to respond the respect women framework on preventing violence against women developed by the who un women ohchr and other international agencies promotes seven strategies which focus on relationship skills strengthening empowerment of women services for health justice police and social sector poverty reduction environments made safer including schools workplaces and public spaces child and adolescence abuse prevented and transformation of gender attitudes beliefs and norms this action-oriented framework can enable policy makers and health implementers to design plan implement monitor and evaluate interventions and programs to prevent violence against women we have come a long way for sure we still have some ways to go and we need to do more to stop this violence from happening in the first place this involves addressing the social norms that still prevail in many settings that make this form of violence acceptable women are not exposed to gender-based violence by accident all because of an inbuilt vulnerability violence against women is rooted in discriminatory social norms and power dynamics dismantling these underlying causes of violence against women and girls is at the heart of achieving gender equality and empowering all women and girls as set out in the targets and indicators of sdg 5 ensuring healthy lives in sdg3 and reducing inequalities in sdg 10. women and men are valued differently society has heap privileges on the men while the women are looked at as subordinate power is not only the problem but also the solution to preventing violence against women we are making it personal everyone connects with power every day people living with power or grappling with power they find themselves within this whole conversation if you're working to create gnome change there has to be change at all levels strategies to raise awareness in communities about violence against women and girls are critical as there is still a lot of stigma and shame which inhibits many women and girls from talking about it intervention is like a big complicated word sometimes it's just about talking about dialogue i mean the fact that we went into schools and just began a conversation with parents um bringing them together in the school along with the school personnel and then having the conversation start from there and we also sort of train providers within schools to appropriately refer children to health facilities for care what we found was that this dialogue began to spark other conversations in the community and i guess they just felt that oh it's actually okay to talk about this openly rather than pretend that nothing is going on sassa is a community mobilization approach to prevent violence against women and hiv and aids it is activist led it's not workshop heavy based it comes away from the traditional programming of organizations going to do things themselves instead they support activists who do the activities with their friends and neighbors health systems play a critical role in responding to violence wherever it occurs supporting health workers to respond appropriately to violence as well as ensuring their work environment enables them to provide safe effective and quality survivor centred care are important strategies for better addressing violence against women and girls um we came to learn not to ask direct questions not to give our opinion or our judgment on them and let her speak and once with that flow starts once that connection is established that doctor-patient relationship emotionally is established she will actually tell you the whole history legal frameworks to promote enforce and monitor equality and non-discrimination on the basis of sex are an important sdg 5 indicator but putting laws in place does not automatically make them effective there are existing protections for women in the workplace or for individuals in the workplace in relation to harassment but we know from our call for evidence that they are not actually addressing the problem the recommendations that we developed included government implementing a mandatory duty for employers to take preventative steps to address harassment in the workplace so what we would like to see is government implement a much stronger legislative duty it has taken decades of struggle by the women's rights movement to persuade the international community to view violence against women as a human rights concern and a sustainable development priority not a private matter governments have obligations to respect protect and fulfill the right to a life free of violence and to provide for sanctions when they fail when seeking accountability the priority consideration must always be the safety and well-being of survivors respecting their wishes and autonomy and supporting them to make informed choices about the type of justice they want context is vitally important there are many strategies to hold perpetrators accountable including strategic litigation and public campaigns when the teachers impregnate the girls that means the system has failed and okay what they do is they blacklist the teachers and they are always removed from the payroll but we think that is not enough the case that was quite interesting is where one of the judges she did find a ruling against the teacher service commission the commission that is responsible for hiring teachers asking them that they must take responsibility and they were ordered to pay compensation to the girls who had gotten pregnant while in school the justice police issue came about a few years back when a young girl was raped and the punishment for her being ripped was that harappa she was gang-ripped and therapists were told to slash grass feminist organizations and young women organizations came back to the police and the police commissioner to ask and request that the people who are found to be perpetrators should be punished according to our constitution and according to the laws of the land and those are very big campaigns to get better justice so consequently they were jailed but also it was a sign that the system the police system had to be checked in terms of when someone reports a case any case of violence what happens and how is it followed through the maria pedra is another example of litigation that became a political mobilizer so this was a case from the inter-american commission that really galvanized a change in public policy a huge change because it was a case that addressed gender-based violence intimate partner violence it called on responsibility of brazil also for not having prevented this kind of violence the reality of a case that says you have the right to not be bruised you have the right to be free of physical psychological violence it's powerful it can change women's lives investing in autonomous women's movements has been one of the most important drivers of changes in laws and policies to address violence against women over the past 40 years according to data from over 70 countries women organizing to advance women's status define the very concept of violence against women raised awareness of the issue and put it on national and global policy agendas often we thought that it takes generations or centuries to change working intensely with the communities we can actually see change coming violence against women and girls is a violation of fundamental human rights to life and to physical and psychological integrity not to be tortured or treated in an inhuman and degrading way to respect for private and family life and the right not to be discriminated against this understanding is more than theoretical human rights-based tactics can offer a practical route to addressing systemic challenges across all the circumstances where violence against women and girls occurs including but not limited to at the hands of their partners at school and in the workplace by using evidence-informed prevention strategies addressing power relations and social norms community mobilizing and dialogue supporting health systems and professionals putting in place strong legal frameworks accessing justice and ending impunity feminist organizing and mobilizing every individual can help to deliver the 2030 agenda for sustainable development building a world in which women and girls are free from all forms of violence and discrimination [Music] youOf the 7 billion people on Earth roughly 0:02 6 billion own a cell phone which is 0:05 pretty shocking given that only 4 and2 0:07 billion have access to a working toilet 0:09 so how are these popular gadgets 0:11 changing your body and brain If you're 0:13 looking down at your phone right now 0:15 your spine angle is equivalent to that 0:17 of an 8-year-old child sitting on your 0:19 neck which is fairly significant 0:21 considering people spend an average of 0:23 4.7 hours a day looking at their phone 0:26 this combined with the length of time 0:28 spent in front of computers has led to 0:30 an increase in the prevalence of myopia 0:32 or nearsightedness in North America in 0:34 the 1970s about one quar of the 0:36 population had myopia where today nearly 0:39 half do and in some parts of Asia 80 to 0:41 90% of the population is now nearsighted 0:44 and it can be hard to put your phone 0:46 down take for example the game Candy 0:48 Crush as you play the game you achieve 0:50 small goals causing your brain to be 0:52 rewarded with little bursts of dopamine 0:54 and eventually you're rewarded in the 0:56 game with new content this novelty also 0:58 gives little bursts of dopamine and 1:00 together create what is known as a 1:01 compulsion Loop which just happens to be 1:04 the same Loop responsible for the 1:05 behaviors associated with nicotine or 1:07 cocaine our brains are hardwired to make 1:10 us novelty seeking and this is why apps 1:12 on our phones are designed to constantly 1:14 provide us with new content making them 1:16 hard to put down as a result 93% of 1:19 young people aged 18 to 29 report using 1:21 their smartphone as a tool to avoid 1:23 boredom as opposed to other activities 1:26 like reading a book or engaging with 1:27 people around them this has created a 1:29 new term nomophobia the fear or anxiety 1:32 of being without your phone we also see 1:35 a change in brain patterns Alpha rhythms 1:37 are commonly associated with wakeful 1:39 relaxation like when your mind wanders 1:41 off whereas gamma waves are associated 1:44 with conscious attentiveness and 1:46 experiments have shown that when a cell 1:47 phone is transmitting say during a phone 1:49 call the power of these Alpha Waves is 1:52 significantly boosted meaning phone 1:54 Transmissions can literally change the 1:56 way your brain functions your smartphone 1:58 can also disrupt your sleep the screen 2:00 emits a blue light which has been shown 2:02 to alter our circadian rhythms 2:03 diminishing the time spent in deep Sleep 2:06 which is linked to the development of 2:07 diabetes cancer and obesity Studies have 2:10 shown that people who read on their 2:11 smartphone at night have a harder time 2:13 falling asleep and produce less 2:15 melatonin a hormone responsible for the 2:17 regulation of sleep wake Cycles Harvard 2:20 medical school advises the last 2 to 3 2:22 hours before bed be technology free so 2:24 pick up a book before bed instead of 2:26 course smartphones also completely 2:28 change our ability to access information 2:30 most notably in poor and minority 2:32 populations 7% of Americans are entirely 2:35 dependent on smartphones for their 2:37 access to the internet a 2014 study 2:40 found that the majority of smartphone 2:41 owners use their phone for online 2:43 banking to look up medical information 2:45 and searching for jobs so while phones 2:47 are in no way exclusively bad and have 2:50 been part of a positive change in the 2:51 world there's no denying that they are 2:53 changing us but many successful people 2:56 have now decided to take smartphone 2:58 vacations in order to increase 3:00 productivity in our new ASAP thought 3:01 video we break down the top six reasons 3:04 you should take a smartphone vacation 3:06 and how it could benefit your life right 3:08 now and subscribe for more weekly 3:09 science videos