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Numbers Presentation

Transcript: PROPERTIES OF NUMBER SYSTEMS MELIS EROL ECE TETIK MEHMET EMIR KACAN In mathematics, numbers are divided into groups. These sets are described with special names and symbols. SETS OF NUMBERS 1 Explanation: Whole numbers and counting numbers make up natural numbers. Natural numbers start with zero and contains no fractions or negative numbers. Note: Whole Numbers: (0,1,2,3...) Counting Numbers: (1,2,3,4...) So natural numbers start with zero and contains no fractions. Symbol: N Natural Numbers (N) N Explanation: Natural numbers, their negatives and zero make up integers. (...-3,-2,-1,0,1,2,3...) Symbol: Z INTEGERS (Z) Z RATIONAL NUMBERS (Q) Q Symbol: Q Explanation: Rational numbers are numbers that can be written as c/d where c and d are integers and d is not equal to zero. Symbol: R Explanation: Real numbers are made up of N, Z and Q. REAL NUMBERS (R) R Explanation: A Complex Number is a number that is a combination of Real and Imaginary Numbers Symbol: C COMPLEX NUMBERS (C) C Sets of Numbers Picture Structure With Examples Deeper Information Structure 2 There are four basic properties of numbers: commutative, associative, distributive, and identity. There are other properties as well. For instance: closure property, zero product... PROPERTIES 2 Closure example a+b is real 4 + 5 = 9 is real a×b is real 7 × 2 = 14 is real Closure Property CLOSURE Commutative example a + b = b + a 4 + 6 = 6 + 4 ab = ba 4 × 2 = 2 × 4 COMMUTATIVE COMMUTATIVE Associative example (a + b) + c = a + ( b + c ) (1 + 6) + 3 = 1 + (6 + 3) (ab)c = a(bc) (4 × 2) × 5 = 4 × (2 × 5) ASSOCIATIVE ASSOCIATIVE Distributive example a × (b + c) = ab + ac 3 × (6+2) = 3 × 6 + 3 × 2 (b+c) × a = ba + ca (6+2) × 3 = 6 × 3 + 2 × 3 DISTRIBUTIVE DISTRIBUTIVE Identity example a + 0 = a 6 + 0 = 6 a × 1 = a 6 × 1 = 6 IDENTITY IDENTITY Zero Product If ab = 0 then a=0 or b=0, or both example a × 0 = 0 × a = 0 5 × 0 = 0 × 5 = 0 ZERO PRODUCT ZERO PRODUCT 3+4 = 7 4+3 = 7 2x6 = 12 6x2 = 12 2+(4+3) = 4+(3+2) = 2 (3+1) =2x3+2x1 6.1 =6 999.1 =999 4 + 0 = 4 5.0 = 0 987.0 = 0 EXERCISES 3 Commutative P. of Addition Commutative P. of Multiplication Associative Property Distributive property Multiplicative Identity Additive Identity Zero product P. VIDEO VIDEO https://www.mathsisfun.com/whole-numbers.html http://thinkzone.wlonk.com/Numbers/NumberSets.htm https://whatis.techtarget.com/definition/natural-number Google Images Math is Fun (Images) https://www.mathsisfun.com/sets/real-number-properties.html https://www.mathsisfun.com/sets/number-types.html UAA Course Materials REFERENCES 4 THANK YOU FOR LISTENING! THE END

Numbers Presentation

Transcript: Separation The Return Phase III Road of Trials Supernatural Aid Guide/Mentor Spider and Jem are close friends since they have had to deal with their troubles together. Their friendship formed in a very short amount of time. Spider was with Jem through many hardships and helped her after they ran away together. Spider thought about Jem also, and not just himself. Jem makes friends along the way of the journey. Even though she doesn't know these people, they help her by letting her stay in their home or place of work, and by giving her food. These few people helped Jem after Spider had been taken away. Amy Klezek Journey Map Numbers By: Rachel Ward Belly of the Whale Initiation Jem's threshold is getting along without Spider. Jem has been on her own for her whole life, being a foster child and never having many friends or father figures to look up to. Without Spider though, she doesn't know how to get through these new circumstances alone. Without Spider, Jem has trouble with knowing what to do. This is where her new companions come in play to help her. The police were constantly trying to take Jem and Spider into custody since they had run away from their homes. They succeeded in taking Spider, but Jem figured her way out of it with the aid of companions and by being smart with her actions. Jem never really had a place to call home because she has been in foster care almost her entire life. The only motherly figure that she has is her foster mom, Karen. After Spider's death, Jem and Karen live at home in London with Jem's son, Adam. Jem had to become Karen's mother figure about five years later when Karen has multiple strokes. After Karen dies, Jem settles with Adam in Weston, where Spider had always wanted to be. Call to Adventure Crossing the Return Threshold Phase I Jem goes through many tough events in her journey. There are many challenges she faces in a very short amount of time. Some of these challenges effect her ability to continue on to her destination of Weston. Some of these challenges included Jem tripping onto barbed wire, twisting her ankle, and running out of food very quickly. There were also even worse challenges, such as figuring out where they could sleep, trying not to be recognizable to the police, Jem saving Spider from drowning, running from the police, and when Spider was eventually taken into custody by the police. These were all challenges that Jem faced with Spider, and sometimes without him. Battle Jem faces an internal conflict when it gets later and later in the day of Spider's death. She thinks a lot about what everyone is asking her, telling her, and saying about her. She comes to the conclusion that if no one can see the numbers, they might as well not exist. She thinks the only way to get rid of the numbers is to kill herself, since she is the only one who sees them. It makes sense to her that if she kills herself, she could save Spider and all the other people that she has met or is close to. Threshold Guardians Crossing the Threshold Phase II Jem has always seen numbers when she made eye contact with people. She didn't know what they were until the day her mother died, they were death dates. Jem thought that she could possibly help people by knowing the date they would die, and keep them out of harms way. She thought that the system of fate and dying could be cheated by making yourself or someone else die sooner. Jem had kept her secret of being able to see a person's death date for 15 years. She was always scared to tell someone, but when she finally does, it comes more naturally to tell more people. Once she had told just a select few, she still didn't feel completely comfortable with the entire world knowing her story. There is no guide or mentor to help Jem along the way of her journey, with and without Spider. The only person that knows how Jem really feels and can relate to her is Val, Spider's grandmother. Val is not present during her journey, so she doesn't guide her along the way. Companions

Concrete Numbers (Free Template)

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Presentation Template

Transcript: Designing Your Presentation Structuring Content Effectively Color Schemes and Fonts Choosing the Right Layout Incorporating Visuals and Graphics A clear structure is vital for effective presentations. The rule of three can be applied, presenting ideas in groups of three for easier digestion. Use bullet points and numbered lists to enhance clarity and flow. Color schemes set the mood and enhance readability. A limited palette of 2-3 colors with contrasting tones is more effective. Choose fonts that align with the presentation tone; sans-serif for modern looks and serif for traditional presentations are common choices. The layout determines visual hierarchy and readability. Common layouts include slides designed for text-heavy content versus those emphasizing visuals, such as images or infographics. A well-structured layout improves audience retention of information. Visuals, such as images and charts, capture attention more than text alone. Research shows that visuals can improve information retention by up to 65%. Infographics help in simplifying complex data for better understanding. Introduction to Research Topic Templates serve as a blueprint for presentations, providing consistency in design and structure. They save time and ensure that crucial elements are not overlooked, enhancing overall communication and engagement with the audience. Components of a Good Template A good presentation template includes essential elements such as a title slide, content layout, visual hierarchy, and consistent color schemes. Each component must work together to enhance readability and visual appeal, guiding the audience through the information seamlessly. Types of Presentation Templates There are various types of presentation templates including pitch decks, educational lectures, and marketing presentations. Each type is tailored to specific communication needs and audience expectations, ensuring clarity and relevance of the content. Best Practices for Presentations Visual Aesthetics in Templates Visual aesthetics, including color theory and typography, play a crucial role in presentation templates. Effective use of visuals can capture attention, reinforce messages, and promote retention, making the information more impactful. Relevance of the Current School Curriculum to future job market Demands Engaging Your Audience To capture attention, incorporate storytelling, relevant anecdotes, and interactive polls or questions. Research shows that audiences are 75% more likely to remember presentations that include interactions. Timing and Pacing Utilizing Technology and Tools Leverage tools like PowerPoint, Prezi, or interactive platforms such as Mentimeter for effective visuals and engagement. Utilizing technology not only makes your content more dynamic but also enhances understanding across diverse learning styles. Effective presentations balance content with timing. Aim for 1 minute per slide on average and leave time for questions; experts recommend 10-15% of total time for Q&A to enhance understanding and engagement. Handling Questions and Feedback Encourage questions by allocating specific time for audience interaction and demonstrating openness. Implementing a structured Q&A format can improve clarity and allows for deeper audience engagement while addressing common misconceptions. Conclusion and Next Steps Resources for Further Learning Recap of Key Points For those looking to refine their presentation skills, consider books like 'Presentation Zen' by Garr Reynolds and online courses on platforms such as Coursera or LinkedIn Learning. These resources offer advanced techniques and strategies for effective communication. Essential components of effective presentations include understanding your audience, utilizing engaging visuals, and structuring content for clarity. A well-designed template can significantly enhance the presentation experience for both the presenter and the audience. Call to Action for Practice Final Thoughts on Presentation Skills Mastering presentation skills not only enhances professional opportunities but also boosts personal confidence. Remember, effective communication is a key asset in any field, making it essential for career advancement. Regular practice is vital for mastery in presentations. Engage in public speaking groups like Toastmasters or seek opportunities to present at work to build confidence and receive constructive feedback.

Presentation Template

Transcript: Assets Presentation Template Creating Effective and Engaging Presentations Comment Color Schemes Color schemes impact perception and engagement. Utilizing complementary colors enhances readability and evokes emotional responses, while a consistent palette promotes professionalism and cohesiveness throughout the presentation. Why Are Presentations Important? Key Elements of a Good Presentation An effective presentation consists of clear objectives, engaging content, appealing visuals, and strong delivery. These elements work together to ensure the message is understood and retained by the audience. Presentations are a vital tool for conveying ideas and information in a concise manner. They help engage audiences, facilitate knowledge sharing, and support decision-making in various contexts, from business to education. Font Selection Storytelling Techniques Common Presentation Formats Using Data and Statistics Crafting a Compelling Conclusion Choosing the right fonts ensures readability and visual appeal. Sans-serif fonts are generally preferred for digital presentations, while contrasting font styles for headings and body text can enhance clarity. Introduction to Presentations Presentations can take various formats, including slideshows, verbal talks, and interactive workshops. Each format serves specific purposes and can be chosen based on the audience's needs and the presenter's objectives. A strong conclusion summarizes key takeaways and reinforces the significance of your message. Present a call to action, encouraging the audience to reflect or act upon the information, leaving a lasting impression. Understanding the essential features of effective presentations is crucial for successful communication. This section covers the importance of presentations, the key elements that make them effective, and how to tailor your message to your audience. Storytelling in presentations makes content relatable. Use personal anecdotes or case studies to illustrate points, weaving emotional connections that resonate with your audience and aid in memory retention of key messages. Incorporating relevant data strengthens your arguments and adds credibility. Utilize visuals like charts and graphs to present complex information clearly, ensuring that statistics are contextualized and connected directly to your overall narrative. Understanding Your Audience Setting Clear Objectives Visual Hierarchy Image Usage Creating Engaging Headlines Knowing your audience is crucial for tailoring your message effectively. Factors such as demographics, interests, and expertise level should inform the presentation's content and style for maximum impact. Defining clear objectives is essential for any presentation. Objectives guide the content and keep both the presenter and audience focused on the intended outcomes, ensuring effective communication. Visual hierarchy prioritizes information to guide the audience's focus. By varying font size, weight, and color, key points are emphasized, allowing for quicker understanding of the presented material. Images should complement the content, not overwhelm it. High-quality visuals can illustrate complex ideas, but maintaining relevance and context is crucial for impactful communication. Headlines serve as hooks to capture your audience’s interest. Craft headlines that are concise yet compelling, leveraging impactful words to convey the essence of each section, encouraging further engagement with the content that follows. Layout and Spacing Structuring Your Presentation Content Development Effective layout and spacing guide the audience's eye. Proper alignment and ample white space can enhance readability, prevent overcrowding, and create a more polished, professional appearance. A well-structured presentation enhances clarity and retention. Consider using a clear beginning, middle, and end, supplemented with transitions that guide the audience through your key points. Utilize frameworks like the Problem-Solution or Chronological approach depending on your topic. Effective content development is the backbone of any successful presentation. It involves careful structuring and engaging communication to ensure your message is understood and retained. Design Principles Effective design principles are fundamental for creating engaging presentations that hold the audience's attention. Understanding visual hierarchy, color schemes, font selection, image usage, and layout ensure that messages are conveyed clearly and professionally. Managing Nervousness Learning from Past Presentations Nervousness is common among presenters; techniques such as deep breathing, visualization, and practice can effectively manage it. Creating a clear structure for the presentation can also boost confidence and promote calmness during delivery. Incorporating Multimedia Reviewing recordings of past presentations can illuminate patterns in performance. This reflection enhances understanding of effective techniques and common

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