Tips for selecting a preschool

Every year in winter and early spring, parents make frantic phone calls to daycares and preschools. There is a waiting list of names for the new school year enrollment. Sometimes the spots fill up quickly. If you are in a hurry to sign up your child, ask the preschool or the daycare specific questions before enrolling your child.

Questions to ask before annoying your child at a preschool

  • Ask about the instructors training and credentials. Ask if instructors have CPR training. Your child should be in a place where teachers have a proper background and necessary certifications in early childhood education.
  • The price or the fees of the preschool depends upon various factors. Ask about the monthly fees or if there are other hidden costs. Pay the registration fees along with the fees for early drop-off or late pickup.
  • Parents are responsible for providing specific supplies to the free school. For example, a change of clothes, some snacks and a water bottle for your child. It’s better to ask early and make a list of all the things that you’re required to bring. The teachers will provide you information on what works well when it comes to packing lunch boxes and backpacks.
  • When you visit the school, consider the teacher to student ratio. They should be enough instructors to handle all the children. Forbes has a regulation for the number of children to teacher. Children with special needs or allergies require one on one attention and it must be discussed with the caregivers beforehand.
  • Look for a safe and nurturing environment. The toys must be clean and the school supplies must be wiped with this infecting and cleaning ages. It will help cut down germs. When visiting, look at the toys and equipment.
  • Consider asking the teachers about the sick policy. The chances of your child getting sick increases when they go to preschool because they are always prone to cold or viruses. It all depends upon how your child is, they might ask you to keep your child at home until they are fully recovered. Now is also a good time to ask about vaccinations.
  • Ask teachers about the safety measures in place. It must be monitored carefully the number of people who enter the building. There should be a special quote to access areas where the children are playing or sitting. The school must have some sort of child mechanism in places where for example, the cabinets must be locked and the scissors and other equipment should be stored properly.
  • Some schools require their children to be potty trained before entering school. Even if the child is trained, sometimes a new environment can affect their skills. Ask the teacher about supplies you have to give to your child in case there might be an accident at the school.
  • Inquire about the activities which children indulgent throughout the day. Consider what is important to your family and also consider the age of a child ask about the educational curriculum and the child’s daily routines.

Asking the right questions will help you arrive at the decision of choosing the best preschool for your child. You can get more information from https://lakeshoreel.com.au/.

Start a fulfilling career with day care training courses

Are you looking for a fulfilling career?  If you become a childcare educator, your responsible entail taking care of young children and infants. Your role would be to provide them with social, emotional, physical and educational assistance. Childcare educators are responsible for allowing children to grow at their own pace by providing them age appropriate activities.

Tasks and duties of daycare trainees

  • You r responsibilities entail preparing materials and learning opportunities for children. Your role would be to engage them in age appropriate activities.
  •  Daycare workers supervise children and ensure their educational, recreational, and nutritional needs are met.
  •  You will keep all records of the child’s behavior and progress. This is important information to be shared with parents on a weekly basis.

 Childcare workers are a part of a small team responsible for providing children with an education and an innovative learning environment. Childcare workers work in childcare centers and family daycares.

Making a career with daycare training courses

To become a childcare educator , you need specific qualifications. You should get a degree in childhood education or child services.

The first step for getting a qualification is earning a Certificate III in Early Childhood Education and Care. Similarly you can go for a Diploma of Early Childhood Education and Care.

To start working as a childcare educator, you need a current working with children check and also undergo a police check. You need to complete a first aid certification.

These are vocational, educational and training institutes where you earn certificates, diplomas, and advanced diplomas. These prepare you to work in a practical setting. You need the basic entry requirement of completing year 10 to apply for some courses.

 If you  want to secure an undergraduate degree such as a bachelor’s degree, apply after completing year 12.

These degrees provide comprehensive skills and training for four years. Earning a bachelor of education is a full time degree which can take around two to three years. It can be completed on campus or online.

A bachelor of education in early childhood and primary education is a four year program and is available on campus only.

Why become an early childhood educator

  • Childcare is a fulfilling career but can be incredibly demanding. However, if you are a person who loves working with children it will provide you with ample opportunity to teach and shape their future.
  •  You get to spend your days in a beautiful learning environment designed with children in mind. For some people it can be a truly magical experience. They get to live their childhood all over again.
  • You get to build rewarding relationships with children and their families while helping them attain certain milestones. Although childcare is mentally and physically exhausting and you might deal with negative behaviors which can be overwhelming. All this is rewarding when you see wonderful smiles from the children at the end of the day.

Explore top daycare training courses to make yourself ready and competent for the job.

Is your child ready for schooling?

When we talk about kindergarten readiness, it just doesn’t begin in pre school. It also doesn’t start in the summer before starting school. It is parents and caregivers who help prepare the child to transition to school from the very moment they are born.

The games they play at home and the conversations you have with your child all have an impact. You can use certain ways to support your child’s social and emotional development.

These are important milestones that your child should reach to be kindergarten ready.

You might be surprised to know, you’re already doing many of these things at home, and you just have to work a little more.

Helping your child develop empathy

A young child might seem self-centered. When they begin to grow, they notice things, people, and develop emotions. They  learn why different situations will have different reactions. Majority of five year olds know they have to take turns and share. However, not all of them might want to do it because it doesn’t meet their innate needs.

Children need to develop empathy and should be able to see the other person’s point of view. Parents and caregivers are responsible for ensuring that their children depart from self centeredness and practice being good at home. If parents model empathy for their children, children will follow suit.

Parents can teach empathy in a number of ways. You can ask them to recognize feelings from reading books or you can take pictures of family members with different facial expressions. Let your child know how somebody would feel if they are angry, happy or sleepy.

You need to monitor and model empathy with your child. Start by saying that you might be feeling sad because of certain things or their brother is feeling sad because their friend couldn’t come to play. How can you cheer your brother up. Modeling these behaviors for young children and help them identify these emotions and allow them to develop empathy.

Helping your child learn communication

Children learn to communicate their needs in a variety of ways. The child should communicate their basic needs to their teacher. They should know that it is okay to get permission to use the washroom. If they are not feeling well or if they want help regarding something, they should always talk to their teachers. While some kids can do this easily others might need little extra self-confidence to make their move

Talking to friends and classmates is also essential. However, it is a challenge for many children. If children are disagreeing over certain games they must learn to work together to build something.

Communication takes practice but there are many ways parents can help their children. You can help your child practice using the I statement many times a day. For example you can teach them that you feel sad when certain things happen. Teach them that I don’t like it when I want something 1st and it makes me upset. Being able to communicate their needs  can be taught using an I statement.

Teaching children to follow adult rules and directions

Following rules is important even if children don’t want to. It is challenging but kids will need lots of practice. They should be put in situations which help them follow directions from other adults.

It is important for a student to practice becoming independent. They should be willing to learn new ideas, play and have fun. There is emphasis on sending your child to a quality early childhood program so they are aware of all these necessary skills.

It’s necessary for parents to treat their children with respect. Respectable adults will model behavior which the child can easily follow. Having respectful conversations at home will ensure your child understands the teachers and the administrators have rules which are followed. These rules will help keep them safe.

Parents are their child’s first teachers. Whatever you do at home will set the tone of your child’s behavior and interactions. Parents should provide opportunities for children to prepare them for various social and emotional interactions which will come in handy during kindergarten. Find Gladstone’s top kindergartens to start preparing your child for the real world.

Can Narre Warren Early Learning Help Children?

Children in Narre Warren and elsewhere in the world improve their well-being and health now and, in their lifetime, when exposed to Narre Warren early learning education.

Yet, what, exactly, is Narre Warren early learning?

Narre Warren Early Learning

The care and education programs geared toward very young children are what Narre Warren early learning is all about. The programs created by Narre Warren early learning centres play a crucial role in developing the overall character of young children.

Being able to learn and play in a safe environment provided by Narre Warren early learning centres offers children unique opportunities to build trusting relationships with caregivers and their peers.

How Important is Early Learning?

The learning of every human being begins at birth. The natural learning abilities of babies mean that family members are seen as the sole teaching influence.

Many research studies have seen that the biggest brain development of human beings happens during the early years of life. A young child exposed to early learning provides the smartest way to build a healthy and strong brain. Positive brain development equips a child with lifetime coping and learning abilities.

The development and health of a child are at risk when a child does not get good emotional, mental, and physical support at an early age. Missing out on opportunities such as being able to work with their peers and caregivers could hinder the natural growth and development of a child.

What are the Different Early Learning Programs?

Learning opportunities and early stimulation are the play-based and child-centred programs is provided by the various types of early learning education. The variation is based on the age of children than anything else.

Early Development for Infant-Toddler Program

Children ranging from ages 0 to 2 years old will find the perfect fit with the early development for the infant-toddler program. The various child development workers and teachers of the centre are qualified and experienced in providing a secure base for toddlers and infants to discover, learn, and explore their surroundings.

The participation of parents as a way of supporting their children and the program itself is encouraged at this point.

Pre-Kindergarten 1 Early Learning Program

Children ranging from ages 3.0 to 3.11 will enjoy the tailored educational activities provided by the pre-kindergarten early learning program. Learning through exploration and play are the scheduled sessions designed and implemented by the program.

Pre-Kindergarten 2 Early Learning Program

Children ranging from the ages of 4.0 to 4.11 will find the pre-kindergarten 2 early learning program suitable for their growth and development. While the programs are still play-based, their creation and design are geared to equip the children for a smoother transition to kindergarten.

Home-based Learning Program

The learning initiative of the home-based learning program is designed for the primary caregivers of the children such as their parents. There are phases implemented by the program that parents have to comply with to enable them for a home-based learning program.

It is because the learning environments are aimed at homes. The learning programs implemented are to foster a stronger relationship between parents and their children. The program’s ultimate goal is to ensure that the development and learning of children in a home-based learning program is on a solid start.

Go to https://kingkids.com.au/kingkids-narre-warren/ for more details.

Marsden Kindergarten-Dealing with morning madness

Parents usually dread the first day of school. Each parent has a different morning routine but there are certain things that they can practice to prevent the morning madness.

The following are a few tips to establish morning routines for your kindergartner.

Enrolling your child at Marsden kindergarten

Mornings don’t have to be hectic. You can start by practicing a morning routine which appeals to both you and your children. Playing some upbeat music to set the mood for the morning. Research has proved that listening to good music improves your mood. Nobody wants to be grumpy on their way to school and playing some uplifting music is a good way of banishing the Monday Blues.

 Parents can try waking up a little early. Its best to set an alarm 15 minutes before the usual time you wake up. This way mornings won’t be frantic. You will have extra minutes to get yourself out of bed and put the kettle on while the children are still sleeping.

Plan everything the night before. For example if your child is choosy about clothes, it’s better you have already selected one or two the night before. Instead of choosing clothes in the morning, you save time and your kid is happy as well.

Making lunches at night is also a good idea. However, if you would still like to serve fresh food to your little ones you can prep in the night and then simply cook it in the morning. It will help save time and you get something healthy in the lunch box without worrying too much.

If your children take too long to perform a certain task, try setting up a timer. Tell them that they have 5 minutes to get things done. Give them a reasonable amount of time so they don’t become frustrated. The idea is to motivate your child so they are always beating the clock.

Instead of going for long and leisurely breakfast, it’s best to only put few choices on the table. If you give them a lot of choices, your child might take their time finishing it up.

Ask your kids to move faster by providing them with incentives, When you want your kids out of the door in the morning, ensure you are giving them an incentive so that they are able to take responsibility of all their things and not get late for school.

It also depends on how your kids wake up. While some are always ready for the day, others might find it difficult to adjust until they have had a quiet 10 minutes to themselves. Work according to your child’s schedule and mood, and you’ll have a happier child going to kindergarten.

Parents can set up a morning routine which doesn’t involve a lot of hue and cry by following these above simple steps.

Visit Marsden kindergarten and speak with their teachers to know more about setting up a bedtime and morning routine for your little one. You may also check their website at https://treehouseearlylearning.net.au/.

Choosing Between Public and Private Kindergarten in North Lakes

As a parent, you are divided between taking your child to a public and private kindergarten. Well, the two have unique benefits and challenges worth noting before you finally select a kindergarten for your child. This article will give you the information you require to understand the major differences between public and private kindergartens. You will also get some success stories of children who successfully made it to kindergarten and later stages of life.

Public kindergartens:

Accessibility:

Public kindergartens get a greater part of their funding from the government and are affordable. A parent only needs to meet a few costs and the child will be ready to start the kindergarten experience.

Diversity:

In public kindergartens, children of all calibre are admitted and they get to learn from one another on various things. The child is exposed to different cultures and experiences that make them appreciate the importance of diversity.

Standard curriculum:
 public kindergartens follow a strict standard curriculum that is set by the state in running their operations. This way, you will find that children from different kindergartens have a common behaviour of doing things and can collaborate effectively with one another.

Private kindergartens:

Smaller class sizes:

 private kindergartens usually have smaller class sizes to ensure that every child gets the attention they need from their caregiver. The centre also gets a few number of children due to the high cost of operations.

Specialised programmes:

Private kindergartens often tend to be outstanding from the rest by offering their learners unique programmes to further improve their learning experience.

Enhanced facilities:

Not only do they offer specialised programmes, but also have enhanced facilities at their disposal. Children get to play with sophisticated tools that boost their physical and cognitive development.

From the above benefits of the two kindergarten options, you can see that each one is helpful depending on your needs and budget.

Success stories from North Lakes kindergarten graduates

Kindergartens are known to be the foundation upon which a child begins their education journey. And sure enough, it has helped many to realise themselves and have a passion for learning and getting a successful career. The following are some of the success stories that are worth reading:

Emma’s reading journey:

The story of Emma is an exciting one!  She was struggling with reading while joining kindergarten, but with the guidance and support of the instructors, she is now the top reader in her class and enjoys exploring a new book one after the other.

Liam’s social skills:

Liam always found it hard to make new friends and was shy from participating in groups. However, the kindergarten in North Lakes helped him regain his confidence and self-esteem, which later made it easy for Liam to make new friends and participate in group work.

Ava’s love for science:

What about Ava who did not know of her hidden talent for exploring science? Thanks to the hands-on experiments offered at kindergarten, Ava has now realised her talents and participates in science affairs with a dream of becoming a scientist in future.

When torn between taking your child to private or public kindergarten, it is crucial to understand the merits of each and with your available resources, make the right choices. Most kindergartens in North Lakes have had positive impacts on children and have helped them overcome their weaknesses. Get more information when you click https://www.bayexplorers.com.au/north-lakes.

How to Choose a Quality Childcare Facility in Gungahlin

Finding a quality childcare facility is always challenging for most parents in Gungahlin. You need to consider and remember to look out for many things when choosing a childcare facility. Also, there are so many mistakes that you’re likely to make when selecting a childcare facility which will affect the quality of childcare your kid gets. This is why you must learn to select a quality childcare facility for your kids without making any mistakes.

Things to Do When Choosing a Childcare Facility in  Gungahlin

Whether you are selecting a childcare facility for your kids for the first time or have done it before, the job will be challenging. You must ensure that you are making the right selection, yet you will come across many childcare facilities in Gungahlin. Fortunately, when you do the things discussed in this section, you can identify a quality childcare facility for your kid.

  • Identify the needs of your baby

You have spent so much time with your child as a parent, which means you know them and understand what they need in a childcare facility. For this reason,  you will be able to identify a childcare facility that will cater to the needs of a child in that which will make your child happy. This way,  you will be assured that your child will feel comfortable even when you leave them in a childcare centre for long hours when you’re busy at work.

  •  Know what you need

Apart from the needs of a child,  it is crucial that you also know what you want in a childcare facility. For instance, you need to find out the childcare facility’s operating hours to determine if you can rely on them depending on your schedule. Also, if you plan to work during weekends and holidays, look for a childcare centre that offers childcare services whenever needed. In addition, knowing your needs helps you identify a facility where you can pay for the childcare services you need without any struggles depending on what you can afford.

  •  Make a list of childcare facilities around you

Before you start selecting child care facilities around you, you must come up with a list of the ones you would select for your child. After making a list,  find as much information as possible about each of the childcare facilities in your list and compare them to each other. This will help you identify the most suitable childcare facility for your child that meets your needs.

  • Visit the shortlisted childcare facility

Visiting the childcare facilities on your list is an important idea, especially because you get to learn first-hand information about these facilities. In addition,   during your visit to this childcare facility, you’ll see if they meet the standards you’re looking for in a childcare facility. Also, you can ask the childcare providers any relevant questions to help you select the facility.

  • Ask for referrals from other parents

Asking for referrals will help you determine if the decision you’re about to make about the childcare facility to select is the right one. However, ensure that you ask for referrals from parents you trust who have previously or currently taken the kids to childcare facilities.

Before booking 360 Early Education in Gungahlin, you should do everything above. They will help you identify a childcare centre that will provide your kid with quality childcare and meet your needs. In addition, you will be sure that you are selecting a facility you can rely on whenever you need someone to take care of your child.

Tips to help you choose the right day care centre

Several parents rely on child care services in order to support their busy schedules. However there has been an increase in different options for parents when it comes to seeking the best child care center for their little ones. The following are a few tips to help you select the right child care services in New market.

Before you start looking for a child care service it is important that you are able to understand your particular requirements. There are several factors that you need to take into consideration which include the age of a child and your own working hours along with the location preference. If there are any special requirements which are related to your child’s health or development, make sure that you address these as well. When you understand your needs, it will help you never down the search options and find a day care which is in keeping with your requirements.

The next step is to ensure that you carry out proper research on the child care services available in new market. You can start by getting recommendations from trusted sources like your friends or family members or the parents within the community. For further advice, online platforms or parenting forums which could provide you excellent resources.

After you have narrowed down your search you might want to visit the potential daycares that you are interested in. However, you need to schedule a visit to each of these facilities and once you are there, you need to pay attention to the environment and the cleanliness of the place. Take a look at the way the staff is interacting with the children and also ask about the qualifications and experience.  Get to know about the learning activities and the daily routine of the children so that you are aware about weather you would be comfortable in enrolling your child at a particular day care.

Factors to consider while looking for child care services in New Market

You have to make sure that the Newmarket childcare centres that are local are licensed and accredited before you even start considering them. When a place is licensed it ensures that the facility meets with the basic safety and politics standards. On the other hand, when it comes to accreditation, it shows that the child care center goes above and beyond the minimum requirements and provides a good level of care and education. Both of these are indicators that you are sending your child to a reliable place.

Now is also a good time to enquire about their health and safety policies. Get to know how they implement these on a daily basis so that you are aware about the protocols when it comes to handling emergencies and giving medication to the child. Make sure that the place is child proof and has secure inter systems so that you do not have to be worried about the safety of your child.

Last but not the least is important to trust your gut feeling when making the decision. If something is not right or if you are feeling reserved about a particular place it is better that you address those concerns immediately stop the well being of your child should be your primary goal.

When Should Parents Consider High School Alternatives for Their Sons and Daughters?

Every parent has to make the right decisions when selecting a school for their child. Whether your child is joining a high school or has already joined a high school, you need to know that the school you select greatly impacts your child’s future. Most parents take their children to local public schools but worry that they are not great for their children. Perhaps it might be that your child should not be in that local public high school but another learning environment.  You might also  have challenges embracing how things are being done in that school, but it does not have to be permanent, no matter how frustrating the situation. Instead of taking your child to a school you’re not comfortable with, you should consider a different type of school and perhaps high school alternatives.

What tells you that you should take your child to high school alternatives?

You will always have signs if your child is satisfied or having a good time in the High School they are attending. If the high school is great for your child or not, it will be clear for you within no time. When it does, you can make the right decision depending on  your situation. however, if it is time for you to take your child to High School, alternatives expect the  following signs:

  •  Your child is unhappy

Your child should always be happy whenever they are in a school despite their individual needs or problems. However, the kind of environment a school exposes to your child has a huge impact on their happiness and success. If your child is unhappy every time they are in school, it means that something is not right with school or your child. For your child’s happiness, you should consider taking your child to High School alternatives instead.

  • Your child is not performing properly

Every parent knows that their children are knowledgeable and can perform better in their academics, but this does not happen. It might be because your child is struggling in the school they are attending, mainly because the classes are overcrowded or lack individualised attention. It could also be that your child has to be taught subjects that are not working for them. Unfortunately, grades are important, especially in high school. Consider a high school alternative for your child’s performance where your child will learn in smaller classes and have individualised attention.

  • The school is not satisfactory

Some schools may not perform like you would wish them to perform, and therefore, they might not be satisfactory for you and your child. They may hinder your child from performing better due to a lack of competition from other learners. Instead of letting your child relax, you should consider other high school alternatives where they can challenge other students and compete with each other.

  • Your child requires flexible scheduling

In case your child has to look for a job to earn a living or has a child, high school alternatives are usually the best option. This is because they have flexible schedules that allow your child to attend classes when they are available.

If most of the above situations discuss well describe your son or daughter, it is time to consider looking for the alternative to high school. You need to understand that high school determines your child’s future, and therefore, your priority is sending your child to a learning environment that will be suitable for them. If the school holds your child back, taking them to high school alternatives will benefit them and greatly shape their future.

Cleaning tips that will always help you maintain a healthy child care centre in Brunswick

Owning a childcare centre in Brunswick is a great idea but it comes with many responsibilities. One of the major responsibilities that most people find difficult is maintaining a healthy childcare centre. This is the reason why most of the daycares are messy while they should be always sparkling clean. Healthy daycare is always a safe and hygienic environment for the young kids coming to the child care centre despite their vulnerability. For this reason, when you’re starting a childcare centre you need to know that it is your responsibility to keep your childcare centre clean all the time.

Cleaning tips for a healthy child care centre

When you talk to most child care centre owners about cleaning their s and maintaining them healthy they will tell you that it is a lot for them to handle. However, maintaining a healthy child care centre is among the things that will make you thrive and become successful in the child care centre business. Therefore you have to do everything to ensure that you keep your child care centre healthy for the kids. There are several cleaning tips you can make use of and will help you maintain a healthy child care centre without too much trouble. Some of these tips include:

  •  Get used to cleaning and sanitizing all items that kids often come into contact with

 Most kids in your child care centre are at an age where anything they see interests them and process so much curiosity in almost everything. For this reason, these kids will touch so many items in your childcare centre. Door knobs and toys are among the common things that kids will touch whenever they are in the child care centers. Unfortunately, these items may have germs that could cause diseases or even dust that could lead to allergies like asthma. Therefore you must make sure that you clean such items to ensure that kids are safe even if they touch these items.

  • Hire professional cleaners

The other thing that can help you maintain a clean and healthy child care centre in Brunswick is having a professional cleaning company help you with the cleaning of your child care centre.  The cleaning professionals will always help you clean your childcare centre anytime it pleases you. They can also be responsible for cleaning the toys regularly.

  • Use the right cleaning products

When it comes to cleaning your child care centre, you need to know that the cleaning products that you use matter a lot. Therefore, you must be careful when you are selecting the cleaning products you will be using in your childcare centre. The products must be safe for the kids and the environment. 

  • Always  handle spoiled and spoiled food properly

It is always important for you to always avoid letting your food go bad in the child care centre. This is any spoiled or spoiled food that can have some germs that put the health of the kids at risk. This means that whenever you have food that has gone bad, it is important for you to clean out the food properly and immediately when you find out it is bad. Also, any spilled food must be properly and immediately handled rather than leaving it all messy on the floor.

Whenever you have a clean child care centre, you will always take pride in your effort. This is because a clean child care centre makes kids healthy while a dirty one compromises their health. Also, when you have a clean child care centre, you are always sure that your business will be successful. This is because every parent wants to have their kids go to a clean child care centre. Therefore, you must make use of these cleaning tips to ensure that you are maintaining a healthy child care centre like Happy Hippo child care and kindergarten.

Preventing and Managing Misbehaviour Before and During Preschool

Parents may become frustrated by their children’s misbehavior that they resort to physical punishment, such as using the cane. Physical punishment is not the most effective technique to respond to your child’s misbehavior. When parents use the cane (either to hit or threaten), they risk injuring our children physically or emotionally, sending the message that aggressiveness is the solution to issues, or teaching them to attack or threaten their friends, siblings, or us in response to arguments. Furthermore, physical punishment only briefly prevents some children’s misbehavior.

When your child misbehaves, you can tell him “STOP/ NO/ DON’T (description of what he is doing)” and “DO (description of what he should do)” instead of “STOP/ NO/ DON’T (description of what he is doing).

If your child is in danger, do not wait for him to obey your “STOP” command. Get to him right away and get him to safety. When giving your youngster instructions, do the following:

  • Attract your child’s attention by approaching him at arm’s length and saying his name.
  • Tell your youngster what to do using firm but gentle eye contact and a firm but gentle voice.
  • Wait five seconds for a response. Repeat the instruction if your youngster does not reply (only once more).

When your youngster follows your instructions, respond favorably with a designated compliment (described below). If your child does not obey your instructions, give him a logical punishment and/or wait for him to calm down.

How preschools manage misbehavior positively

  • Labeled Praise

Preschool teachers observe your children’s good behavior and give them labelled praise to boost the possibility that they will continue to do so in the future.

Labeled praise tells the child that (1) they performed well (e.g., good, well done, good work, I like it) and (2) it gives a specific description of what they did well in (e.g., sitting in a chair, cleaning your hands before eating, playing on your own).

  • Consequences of Logical Reasoning

A teacher-administered punishment that is relevant to the behavior is a logical consequence of misbehavior. If a child does not follow an instruction, for example, the child’s present activity may be halted and the child may not progress to the next activity until the child does so. Here are some more examples:

Misbehavior: Work is not completed by the child.

Logical consequence: Does not have the opportunity to go on to the next activity.

Misbehavior: A child makes a mess in the room

Logical consequence: The child is expected to tidy up after himself.

Misbehavior: When watching TV, the child ignores the injunction to sit on the sofa.

Logical consequence: Turn off the television until the child is ready to follow the directions.

Misbehavior: When a child’s toy was snatched by a sibling, the child became enraged and smacked the sibling.

Logical consequence: The child is not allowed to play with the toy for an extended amount of time. It is the responsibility of the child to apologize to his or her sibling.

Ascertain that the logical result is reasonable and age-appropriate. If a three-year-old did not stop playing with his cup of milk and then spilled it, you can get him to clean it up with your assistance. You can physically encourage him to pick up the cup and place it in the sink, as well as mop up the spill with a cloth. After that, you can wash and wring the fabric.

  • Managing Tantrums

Tantrums are strong emotional outbursts. When the child is having a tantrum, teachers in preschool know how to handle the tantrum logically without resorting to physical punishments. Sometimes trying to reason with a child during a tantrum can be troublesome. It’s best to wait out the emotions for the child and the teacher,  they should ensure that the child is safe.

South Launceston Early Learning and Preschool can help manage your child’s tantrums, but as parents, you must reinforce the teachings at home to ensure success.

Choosing The Right Paper Suppliers In Melbourne

Choosing the right paper can be a tough job for you, yet you do not want to make any mistakes that could risk the quality of your work. Also, you could have a very busy schedule which could hinder you from getting the time you need to buy your paper. However, you can have an easier time when you have a supplier that can get you the paper anytime you need it.

Finding the best paper suppliers in Melbourne

Today different specialists have made people have an easier time in their fields. When you need paper, some paper suppliers can help you get the paper you need without struggling.  However, you need to know that selecting the best paper suppliers is not as easy of a job as you think. Therefore, you have to be very careful to select the best paper suppliers in Melbourne. If you are looking for the best paper suppliers in Melbourne, the following are some of the things you need to look for.

  •  Quality  concerns

All paper suppliers in Melbourne want to make as much profit as possible from the paper supply they make. For this reason, some of them will sell you low-quality paper without minding that you will not produce high-quality work like you would have wanted.  For this reason, you should look at the quality of the paper that the suppliers you are selecting usually supply to their customers. This is to ensure that you get the paper suppliers who are always supplying high-quality papers.

  • Reliability

It would help if you found paper suppliers that you can rely on.  There are times when you will need paper to be supplied without any notice. If you have suppliers who are not reliable, it can be hard for you to find the paper that you need even if you have a lot of work that you want to do. To avoid any problems, you must look for paper supplies that are always reliable.

  • Flexibility and speed

When you need your supplier to supply you with the papers you need, they should do so quickly.  Also, they should be able to leave what they were doing so that they can cater to your needs whenever you want them. This is why you should look for paper suppliers in Melbourne who value speed and are flexible.

  • Excellent customer service

Most people do not pay attention to the type of customer service they receive from their paper suppliers. However,  before you select any paper suppliers, you must look for suppliers who value their customers. Paper suppliers with perfect customer service guarantee you that you have a supplier who will offer you quality service when you need them.

  • A great reputation

The reputation that anyone has is usually determined by the quality of services they offer to their customers. For this reason,  you need to look at the reputation the suppliers you show interest in have so that you do not select someone who cannot offer you high-quality services.

Always make sure that you are not in a hurry when you are selecting your paper suppliers. This will ensure that you get all the help you need to select the suppliers who will always be there when you need them. Also, it ensures that you have enough supply of quality paper and spend your money on the right paper suppliers.

MES are a leading paper supplier in Melbourne that you can go to for quality papers.

Does the location of daycare in Crestmead matter?

When planning to start your daycare in Crestmead, there are certain things that you have to think about. One of the important things that you must consider is the daycare location that you will be starting. This is because you cannot start your daycare anywhere you want, but instead, you have to ensure that you select an ideal location for your daycare.

What does an ideal location look like?

When most people hear about an ideal location, so many things come to mind. You have to make sure that the ideas that come to your mind are real ideas and help you select the best location. In case you are wondering about the right location for your daycare, look at the following points discussed below:

  • An ideal location has a lower level of competition

One of the things that makes a location ideal is its level of competition. As you start your daycare, you have to ensure that you check on the number of daycares available in your prospective location. Therefore, if you want to run your business in an ideal location, you have to ensure that you select a location where there is no stiff competition.

  • An ideal location has a higher percentage of the target market.

The other thing that makes your location ideal to start and run your business is the target market percentage. You have to ensure that you start your business in an area where the target population is higher. This assures you that you will have so many parents bringing their kids to your facilities.

  • It has adequate space

The amount of space you find in the location you want to set your daycare also matters. This is because you will require space for the kids to play and even accommodate the kid you would like to enrol. Therefore, you have to ensure that your ideal location is spacious.

  • It is accessible                          

As parents look for the daycares, they will be taking their kids; they want to select the daycares in the best conditions and be accessible. This means that you have to be very keen about the location that you select. If the location you end up starting your daycare is not accessible, very few parents will bring their kids to your facility, which means that you have failed in setting your ideal location.

  • Its environmental and health conditions are favourable

The health and environmental conditions of the locations you start will also matter when selecting the location to set your business. An ideal location is always risk-free as long as health and environmental issues are concerned.

  • It has access to all the important amenities and facilities

It is also important to ensure that you start your daycare in a location where you can access social amenities and facilities. Most people think that this is not a consideration to make, but it is very important. Luckily, Play and Learn Crestmead is strategically located and is easily accessible from offices and shops in the area.

Does the location matter?

This is a question that most people starting childcare will want to get answers to before deciding on the location to set their facilities in Crestmead. One of the things that you do not expect to hear is your daycare location counts a lot, and therefore, you should spend as much time as you can to select the best location. If you mess when selecting your childcare facility’s location, you mess up everything.

Types of Early Learning Centre Sippy Downs

Parents in Sippy Downs often find finding a preschool for their little ones challenging. The endless list of things to consider ranging from availability, location, class size, curriculum, budget, word-of-mouth, schedule, and more are daunting.

Yet, narrowing the search for the right early learning centre, Sippy Downs is to find out its specific approach and philosophy.

Knowing the various types of early learning centres’ philosophy is the right way to get the one best suited for the needs of the child. The most common types of early learning centres include:

HighScope Method

Active learning is the focus of the HighScope method. The idea is that natural interactions and play children have with other people, the environment, and events are the best way for them to gain knowledge. The priority with the HighScope method is focused on developmental indicators such as consistent daily activities, continuing assessment, and open communication lines between teachers and students.

Eight areas of primary content are included in the HighScope curriculum. This includes communication, emotional and social development, science and technology, creative arts, literacy, mathematics, and language.

Montessori Method

During the early 1900s, Dr. Maria Montessori developed an early childhood education approach that proved effective then and still is today. The Montessori approach is to encourage children to learn new things at their convenient time.

Independent exploration is encouraged with the specific setup of the classroom where teachers play the role of “guides”. Specific learning materials are also part of the learning method. This includes the famous pink tower that encourages hands-on learning activities to help children develop skills and concepts.

The multi-age classroom setting is another iconic Montessori approach. It is because the Montessori approach believes that the best way to encourage older leaders to assume leadership roles is by having them learn and work alongside younger kids.

Waldorf Method

In 1919, Rudolf Steiner put forth education ideas that eventually became the Waldorf method. The priority of this type of early childhood education is to practice constant daily and weekly schedules with specific activities set for specific times and days.

The philosophy of the Waldorf method is that providing a predictable and rhythmical environment is the best learning setting for children. To this end, creativity and play are emphasized over strict academics.

Cooperative

Parents who want to play an active part in the education of their children will find cooperative preschools as the ideal choice. A single philosophy may or may not be followed by this type of school; the responsibility and say of the running of the school is with the parents. Finances, upkeep, and food are things that parents in cooperative schools handle. Parents also have a say in developing the curriculum and often assume the role of teacher’s aides.

Reggio Emilia

The curriculum of learning of Reggio Emilia programs is geared towards the ideas and interests of the students. Guiding the children through the process of learning is the role the teachers play in this type of early childhood education program. While the curriculum works similarly to the Montessori Method, the difference is the strong focus on collaboration, problem-solving, and self-expression.

The choice of an early learning centre eventually boils down to what works best for the child. Contact us at Early Learning Centre in Sippy Downs to learn more about our childhood education program.

Best Advantages of Gold Coast Private Schools

The superior standard of education of Gold Coast private schools is the primary benefit offered to various students in the Gold Coast. Numerous studies have seen the higher scores on average, involving all subjects, to be with students enrolled in private schools.

While it can be said that higher scores can be achieved by students regardless of being enrolled in private or public schools, the better than average scores are seen with private school students.

Enrolling children in the Gold Coast private schools bring a host of benefits, to include:

High graduation and college acceptance rates

The high rates of graduation and college acceptance are the distinguishing mark of private schools. Studies have seen that students coming from private schools are likely to graduate college regardless of their socioeconomic status.

The higher academic standards of private schools are seen to be the prime contributor to this finding. Private schools, as a rule, require their students to attend a greater number of classes and subjects for them to complete the curriculum of the school.

High satisfaction levels with teachers and parents

The high satisfaction levels seen with teachers and parents are another area that private schools excel in. It has been seen that the overall educational aspect provided by private schooling to their students make parents generally satisfied.

Administrators and teachers in private schools also report higher satisfaction levels compared to their counterparts in public schools. The recognition and importance provided by private schools to their teachers and administrators is the top contributing factor for the high satisfaction levels.

Smaller class sizes

The smaller class sizes provided by private schools create a 1:11 teacher to student ratio provides more help and attention to their students. The smaller teacher-student ratio helps teachers to spot problems with struggling students. This, in turn, make teachers provide much-needed help to overcome the problem.

High academic standards

Encouraging critical thinking, personal growth stimulation, and the nurturing of intellectual curiosity are the high academic standards practiced by competent private schools. The availability of advanced courses with good private schools is the things that promote and encourage students to grow intellectually, socially, and emotionally.

Overall growth for a student

Intellectual curiosity and ability are not the only things students learn in private schools. Civic conscience, social, and personal growth beyond the classroom are nurtured as well. This takes the form of school leadership programs, athletic competitions, and artistic pursuits.

Excellent and competent teachers

Private schools are picky when it comes to hiring teachers. Teachers that are passionate and experts in their chosen field are the standard requirements met by teachers in private schools.

A fuller understanding of the interests of their students is provided with the autonomy provided by private schools to their teachers. This means that providing more autonomy in the classroom enables teachers to create and design great ideas as a way to individually motivate their students.

Selecting a school with a mission

The teaching approach, philosophy, and values are the missions seen in various private schools. Knowing the school’s mission enables parents the opportunity of selecting the school that is right for their children.

Every child has individual and unique needs. The assurance of meeting a child’s individual needs is having him/her enrolled in a private school.

Childcare centres vs. home care: Which is better?

One of the most stressful and contentious issues parents face is the decision of placing their children in childcare centres or homecare. Adding to the confusion are the numerous findings from multiple research studies about this topic.

The numerous research studies all found that home-based settings work best for infants and toddlers during the first three years of their lives. Fewer behavioural issues, less stress, and less illness are experienced by these very young children in home-based childcare settings.

However, it is not always possible for parents to provide a home-based childcare setting especially when both are working out of the home. Hiring a disinterested nanny or being an impatient parent makes childcare centres a better option for both the child and parents.

Childcare centres offer formal and structured environments for children. They are often large learning centres that provide multiple programs and activities meant to instil social, emotional and literacy skills to very young children.

The advantages provided by a good childcare centre include:

 

Exposure to peer interaction

It can be a good thing to expose your child to the larger class sizes of childcare centres. Playing with kids of the same age allows your child to learn important social skills such as conscientiousness, making friends, sharing, compromising, and learning from others.

Studies have shown that children often form long-lasting friendships with their peers they get to know in childcare centres. Bonding with peers at an early age plays a significant role in the way children form friendships later in life.

The development of social skills provided by childcare centres is beyond priceless. Learning to share, compromise, and taking turns are skills that encourage children to become better adults.

Well-staffed

Good childcare centres are well-staffed. This ensures their dependability when it comes to taking good care of your child. The numerous caretakers contribute to making a good childcare centre consistent with their planned goals and activities. Parents also benefit from the consistent business hours provided by reputable childcare centres. This allows them peace of mind knowing that their children are in good hands while they are at work.

High-quality childcare centres also hire the best teachers. Most of the staff holds early-childhood education degrees, making them effective people to teach pre-literacy and pre-math skills to children under their care.

 

Structured environment

Young children feel safe and secure with structured schedules in a structured environment. The consistency provided by childcare centres fosters a feeling of home-away-from-home in children which is very important for their growth and development.

The regulated schedules for naptime, playtime, and mealtime provide children an expected outcome every time they walk in. Studies have shown that regimens are good for children when it comes to their learning and development processes. It can be said that very young children thrive on schedules and regimens in structured settings.

These structured settings and schedules encourage young children to learn better organisational skills. Encouraging the kids to clean or put away things when done with a task helps them to acquire clean and healthy habits.

 

Knowing the child-proofing equipment and programs used by potential childcare centres is the best way to get the right one for your child. Vetting child care centres in your local area before entrusting your precious child to them is the smartest way a parent needs to do.

 

 

Making the right technological decisions for your children

Most parent have the difficult task of taking decisions regarding technology which didn’t even exist when they were children themselves. They go by their instinct to make the right decisions and to understand what is best for their child. Sometimes the whole thing can be pretty confusing and can leave the best of u bewildered. However, the following are a few tips from the expert teachers at preschools in Darwin which would help you arrive at the right decisions.

Technology for communicating

You can use the mobile to build connections which can help develop your child mentally and socially. Bring them closer to the family by letting them Face time Grandparents or Skype their cousins and friends. These days there are many families which live far from one another. Technology though has helped bridge the gap. It helps children stay connected to their extended family.

Show your child interesting stuff using your computer or mobile

You can show some interesting videos to your children. For example if there is a certain question that they ask you, what better way to explain it to them then showing it on You tube.  Children are highly visual creatures. They can learn a great deal by watching things and it always creates a lasting impact on their active minds. Use the dictionary to learn new words or get to know the spellings of words that they already know. There are games which help facilitate language learning. You could teach your child a language or two by downloading the different language apps. Children love to learn new things and this is one way which you could help them.

Get involved with your children

Don’t just handover the mobile or the computer to your child and let them watch it unattended. While it’s an attractive option to ensure that the child stays quiet and involved, it’s important for parents to supervise them at all times. Its better that you involve yourself in what your child is watching. Discuss what the child thinks about the content they just watched. Listen to their opinion and have a healthy discussion with them. This would help develop mental capability in children from a young age and make them feel that their opinions are valued.

 Make them experience the hands on approach

Before you invest in technology in the form of an iPad or a laptop, make sure that your child is involved in activities which teach them a hands on approach. They should show an active interest in reading books, painting and coloring or indulging in physical play. There is no amount of technology which can substitute for all of the above mentioned things. Make sure that any experience they have with the real world is all the more important. In fact if possible try to control the amount of time they spend using technological gadgets. Some experts advise screen time of less than two hours for children. Some consider this as too much. Make sure your child doesn’t exceed the suggested time.

Your Professional Babysitter

Although, most of us may not know this, children in their very early years are like a learning sponge. They will absorb behaviours, language and movement like a sponge in their first formative years; that is between the ages of one to three especially. These are also the years that require parents to watch over them constantly, they cannot be left unsupervised for even seconds when awake and are in the age that requires a lot of running around. In another aspect, soon after the baby is born parents are learning to cope with the new addition, making adjustments in their routine to be able to parent properly and one of the parents will most likely either leave their current job or will not be able to excel in it the way they did before. With this age group being a crucial age for a young child’s development, parents only want to perfect their abilities and have a difficult time managing everything together. What if I told you that it doesn’t need to be so hard to raise kids and excel in your career at the same time?

A few decades ago, the solution would sound ridiculous but today with its wider acceptance, childcare is helping parents all over the world. For those parents completely new to the concept, allow me to explain what it is and what benefits are available through childcare services. To describe it simply, childcare in Toowoomba is a professional and commercial form of babysitting, something we all are acquainted with. What is different between childcare services and babysitting is a marked difference in security, safety and expertise.

Childcare services strictly adhere to regulations that offer a safe and secure place for children, so that parents may leave them worry-free. Staff and caregivers are required to have some sort of formal education and certification that pertains to dealing with children exclusively. They must be free of any criminal record and such related suspicion and meticulous background checks will re-affirm this for all hired staff. The idea is to offer an environment that will also help children learn and engage them in activities good for enabling their skills and aiding their development. This is why parents no longer worry about leaving their children in childcare Toowoomba because the professional services and security is monitored and regulated. With this service parents are able to go to work and focus solely on their jobs in the time that they are away from their children. This has shown to increase efficiency at work, which will eventually lead to promotions, bigger opportunities, career growth and inevitable job satisfaction and security.

This system of happier parents and happy kids has resulted in a new family system with idealistic expectations being met and an overall better quality of life. This is also a solution for children that have no brothers or sisters and tend to get lonely at home. Busybees childcare in Toowoomba offers a place of social interactions, company and a chance for little ones to make friends!

Qualities of a good Townsville Kindergarten

Kindergarten, ideally, is a fun and smooth transition to real education for your child. The rest of the long education time starts with kindergarten. This makes it imperative for parents to choose the right school to make the best possible start for their child.

Choosing the right Townsville Kindergarten to start the education process right can be a tough decision for parents. For one thing, kindergarten is not really mandated schooling for children.

Advantages provided by Kindergarten schooling

Kindergarten may not be a mandatory education process for children. However, kindergarten provides a child the opportunity to practice and learn the important emotional, study, social, and problem-solving skills. A child needs to develop these traits early on to use throughout the entire schooling.

Other benefits offered by kindergarten schooling include:

 

Encourages and provides direction for a child’s curiosity

The natural curiosity of children can be channelled positively when they are encouraged and directed to focus. Learning becomes an exciting time for the child when his natural curiosity is sparked and directed.

Enhancement of self-esteem

One of the solid educational foundations offered by kindergarten to a child is the development of self-esteem. A child that is encouraged to feel good and comfortable develops confidence about who he is. The challenges of learning are faced by a child confident in his abilities.

Cooperation training

Learning to get along with their peers, do assigned work, and learn lessons instil a cooperative spirit in a child. Spending a year in kindergarten opens opportunities for the child to learn to share, listen, take turns, and patience. The development of these social skills will help a child through all the years of formal schooling and beyond.

Qualities of a good kindergarten

Parents and educators alike will give varied descriptions about the qualities of a kindergarten school to make it the best one. Whatever their descriptions are, they all agree that a good kindergarten school must have the following qualities, to include:

 

Inspire children to love writing and reading books

An ideal kindergarten classroom should be full of words, writings, and drawings of children, and books. Having these things are ways to foster a love of learning for children.

Expands the learning abilities of children

Problem-solving and organized information enhances a child’s confidence and self-esteem. Challenging tasks are met by a child who has learned confidence.

Sitting and large group activities are kept to a minimum

Dividing the children into smaller groups maximises play-based and hands-on learning. Sitting while playing and learning is kept to a minimum at least from the start. Large group activities are only introduced as the year progresses. Longer learning sessions for large group activities have to be included in the program of a good kindergarten school. Doing this provides children a smoother transition for the 1st grade.

Welcoming environment

Kindergarten may be a first time experience for some children to be away from their parents for a long period of time. Even children having day care experience will feel nervous as well. Putting the children at ease begins with a welcoming environment. A colourful and bright classroom environment provides an appealing and welcoming atmosphere.

Young children are introduced to the world of formal education with kindergarten. The lengthy educational path begins in kindergarten. Make it right for the child by choosing from the best kindergartens in Townsville.

Top-notch Private Schools Brisbane

Some families want an early college preparation start for their children. This is the main reason for parental interest in top-notch private schools in Brisbane.

Brisbane’s private secondary schools have become known for factors such as advanced learning facilities and rich curriculum.

Top factors provided by private schools in Brisbane

A child has the opportunity of gaining a high-quality education when enrolled in private schooling. The cutting edges private schools have compared to public schooling include:

Modern learning facilities

Modern learning facilities are standards for private schools. This is because private educational institutions believe in active student participation academically and non-academically.

Experienced and high-qualified teachers are typically hired by private schools to enhance the educational opportunities of their various students. Additions of facilities geared for sports and theatre, ultra-modern laboratories, and state-of-the-art libraries provided by private schools further boost up the learning environment.

Active involvement of parents and in the community

Parents are encouraged to become actively involved in the education of their child. The goal of private schools is to form a sense of learning community among teachers, parents, and students.

This is because private schools believe in the huge influence of parents over their child. Educating the child becomes successful with the positive support coming from parents.

The spirit of community service is also encouraged by private schools with their students. The offer of elective courses towards community service is one way of raising the awareness of students with the workings of teamwork and civic responsibility.

Excellent academic curriculum

The particular abilities inherent in every student are successfully captured by the rich and excellent educational curriculum provided by private schools. The highly-qualified staff, the accommodating learning environment, the individual attention, and the small class all enhance the learning process.

The educational approach towards creativity, talent realisation, and learning environment enhance and encourages academic excellence in every student.

Becoming a number in a big class often thwarts rather than encourage students to show their best. This is the main reason for the small class concept provided by private schools.

Small classroom settings not only benefit the student but the teacher as well. The smallness of the class provides teachers a perspective about the academic performance of every student.

Another impact of smaller classes is the absence of disciplinary issues. This means that students will have every chance to learn from teachers that are given all the opportunity to teach.

Extensive extracurricular programs for sports and the arts

There is no whim of budgets to cut and curtail extracurricular activities in private schools. An integral part of the private schools’ purpose and life are sports and arts programs.

Teachers play an active role in sports programs too. In private school settings, teachers are encouraged to meet their students in different settings other than only inside the classroom.

The teachers are also required to take a direct role in other extracurricular activities other than sports. This allows students to see their teacher not only as their English teacher, for instance. With this practice, students may view an entirely new personality to their teacher.

It takes time to choose the perfect private schools in Brisbane for your beloved child. There are many factors to consider with the process of selecting the best private school. As parents’, knowing what is best for your child can help in your decision.

Power Of Square Roots

1. The whole powers

In first and second, you studied the positive integer powers of natural numbers then of integers and finally of fractions and decimals. Until then the powers were positive.

If we can say, the powers have been “invented” in order to simplify the multiplications.

Instead of writing 2.2.2, write 2³.

In third , we move to the higher speed: Arrive the whole powers, so positive or negative while remaining whole. In future years, powers may be fractional.

Note : The negative exponent tells me that I must take the opposite of the designated expression. Thus for example the exponent -3 tells me that I must take the opposite of the expression and then raise this new expression to the cube. A negative power never indicates that the expression considered is negative but simply that we must go to the opposite!

Review the definitions, properties on page 58 and the exercises that you solved on page 59

Small additional explanations : explanations_puissances

Obviously review all the exercises done in class. Rewrite them in the draft, check the answers by comparing them to the answers in the notebook. (That supposes a notebook in order and neat!)

Correction of some exercises on the powers of pages 66 and 67: corr_ex_pages_66_et_67

Complementary exercises :   intro_puissances  and the correction:

If you still want other exercises on the powers, go see on the internet. Just introduce ‘exercises on the powers’ and many corrected exercises will be proposed.

To have relative to the powers:  must_exhaustances   and the correction: 

2.The square roots.

Introduction: see the sheets distributed in class:

intro_racines_carr_es

Before solving the exercises below, review everything that has been done in class, the theoretical notions, the meaning of the symbols, the notations. Also do the exercises done in the notebook. Check the solutions by comparing with the solutions of the notebook.

Some small reminders:

  1. How to simplify the radicals: Simplification_of_radicals
  2. How to add radicals: Somme_de_radicaux
  3. How to multiply radicals: Product_of_rounded_rules
  4. Making the denominators rational: Making_the_national_dominators

 

Here are some other ex_radical_1 exercises    and their corrections. Corr_ex_radicaux

and others: ex_radicaux_2

Duty for the: must_role_carr_e_2006_2007

test example: November 8, 2009 test: test_radicaux_09_10

Correction of exercises on page 70 done in class  correction_page_70

First-degree equations to an unknown

These are last year’s equations in second place. I advise you to review in your course last year the exercises that you had solved and the method of resolution.

You can also do all exercises 1 to 7 on page 38 and 86 to 89 on page 46.

Click on the link to find the solutions.

How to solve an equation that seems more complicated, with denominators, large bars of fraction, “less” in front of these bars of fraction, etc.

Click here, you will find ways to learn .

Here are some other equations …. a little more complicated.

Here are the solutions:

 

So far, we are solving equations that admit a single solution. We can say that they are “determined” equations.

Special equations

1) Impossible equations

Either solve the equation: 0x = 4

Question : Is there a number that multiplies by 0 gives 4 as a product? None, of course! 0 being absorbent element for multiplication! This equation does not admit any solution. We will say that it is an impossible equation.

Here is a series of impossible equations.

0x = -3 0x = 78 0x = -56

2) Indeterminate equations

Either solve the equation: 0x = 0

Question : Is there a number that multiplies by 0 gives 0 as a product? Yes of course ! Any number multiplied by 0 gives 0 as product. Any number is therefore solution of this equation. Here is an equation that admits an infinity of solutions. It’s an indeterminate equation .

 

In summary then

An equation has one solution: determined equation

an equation admits an infinity of solutions: indeterminate equation

An equation admits no solution: impossible equation

 

2. The zero-product equations

Reminder : 0 is an absorbing element for multiplication. This means that if a factor of a product is zero, the product is necessarily zero.

Example : 3.5×2,7x0x3,6 = 0 because one of the factors of this product is zero.

Mathematically, whatever the numbers a and b,

If a = 0 or b = 0 then ab = 0

Reciprocally , we will admit that if a product is zero then at least one of its factors is necessarily zero.

Mathematically, whatever the numbers a and b,

if ab = 0, then a = 0 or b = 0

Example :

Here is a zero product: (x + 2) (x + 3) = 0. This product has two factors. Since the product is zero, it is because one of the two factors of the product is necessarily nil. Let the first factor (x + 2) = 0, or the second factor (x + 3) = 0. The product (x + 2) (x + 3) is therefore zero if x = -2 or x = -3.

The numbers found, -2 and -3 are solutions of the equation (x + 2) (x + 3) = 0.

An equation of this type is called a “zero product equation”.

Let’s generalize :

An equation of the type (ax + b) (bx + c) = 0 is called a zero product equation.

The solutions of such an equation are the solutions of each of the equations ax + b = 0 and cx + d = 0

(See the little summary at the bottom of page 32.)

How to reduce an equation to a zero product equation?