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  1. 1. Extrema of functions of several variables Panah Suleymanli | Farid Zeynalli 632.21E
  2. 2. Whoa This can be the part of the presentation where you introduce yourself, write your email…
  3. 3. What is extrema of function? Types of extrema Finding the extrema of function Examples Critical Point 01 04 02 05 03 Table of contents
  4. 4. What is extrema of function? 01
  5. 5. Introduction You can give a brief description of the topic you want to talk about here. For example, if you want to talk about Mercury, you can say that it’s the smallest planet in the entire Solar System
  6. 6. —Someone Famous “This is a quote, words full of wisdom that someone important said and can make the reader get inspired.”
  7. 7. Mercury Venus Venus has a beautiful name and is the second planet from the Sun. It’s hot and has a poisonous atmosphere Mercury is the closest planet to the Sun and the smallest one in the Solar System—it’s only a bit larger than the Moon Combined operations
  8. 8. 150,000 Big numbers catch your audience’s attention
  9. 9. Mercury It’s the closest planet to the Sun and the smallest in the Solar System Venus Venus has a beautiful name and is the second planet from the Sun Mars Despite being red, Mars is actually a cold place. It’s full of iron oxide dust Multiplication of numbers
  10. 10. 9h 55m 23s Jupiter's rotation period 333,000.000 The Sun’s mass compared to Earth’s 386,000 km Distance between Earth and the Moon
  11. 11. Venus Venus is the second planet from the Sun Jupiter It’s the biggest planet in the Solar System Mars Despite being red, Mars is a cold place Saturn Saturn is a gas giant and has several rings Dividing numbers
  12. 12. A picture is worth a thousand words
  13. 13. Mercury It’s the smallest planet of them all Venus Venus is the second planet from the Sun Jupiter Jupiter is the biggest planet of them all Saturn It’s composed of hydrogen and helium Mars Mars is actually a very cold place Neptune It’s the farthest planet from the Sun Algebraic expressions
  14. 14. Algebraic operations Venus Venus is the second planet from the Sun Jupiter Jupiter is the biggest planet of them all Mars Despite being red, Mars is a cold place Saturn Saturn is a gas giant and has several rings
  15. 15. A picture always reinforces the concept Images reveal large amounts of data, so remember: use an image instead of a long text. Your audience will appreciate it
  16. 16. This is a map Latin America Venus has a beautiful name and is the second planet from the Sun Europe Despite being red, Mars is actually a cold place. It’s full of iron oxide dust
  17. 17. Some percentages 40% Saturn Saturn is a gas giant and has several rings 60% Venus Venus is the second planet from the Sun
  18. 18. Equations: approach Mercury Jupiter Saturn Venus Equations Mercury is the closest planet to the Sun and the smallest one in the Solar System—it’s only a bit larger than the Moon Follow the link in the graph to modify its data and then paste the new one here. For more info, click here
  19. 19. Steps to tackle equations 01 Read problem Venus is the second planet from the Sun 02 Identify unknown Jupiter is the biggest planet of them all 03 Approach equation Despite being red, Mars is a cold place 04 Solve equation Saturn is a gas giant and has several rings 05 Answer question Mercury is the smallest planet of them all
  20. 20. X - 5 = 3 Example of an equation Unknown Jupiter is the biggest planet of them all First member Saturn is composed of hydrogen and helium Second member Neptune is very far away from Earth
  21. 21. Practical exercises
  22. 22. Activities ● A number increased by 8 equals 22. What number is it? -- ● Maria's age increased by 7 equals 15. How old is Maria? -- ● Double a number equals 46. Find that number -- ● If half of Marta's age is equal to 10, how old is Marta? -- ● The triple of a number decreased by 1 is equal to 20. Find that number --
  23. 23. Solve the problem Saturn is a gas giant and has several rings. It's composed mostly of hydrogen and helium. It was named after the Roman god of wealth and agriculture Problem Solution --
  24. 24. Do these exercises Solve: Result 7 x 4 -- 6 x 8 -- 3 x 9 -- 5 x 5 -- 4 x 8 -- Solve: Result 3 x 6 -- 2 x 8 -- 9 x 2 -- 7 x 9 -- 2 x 6 --
  25. 25. Practical exercise Exercise A Venus has a beautiful name and is the second planet from the Sun Exercise B Despite being red, Mars is actually a cold place. It’s full of iron oxide dust Result -- Result --
  26. 26. Interpretation exercise Interpret a multiplication equation as a comparison, for example: 35 = 5 × 7 35 is 5 times as many as 7 7 times as many as 5 Comparison A Despite being red, Mars is a very cold place Comparison B Saturn is a gas giant and has several rings Interpret Neptune is the farthest planet from the Sun
  27. 27. Multiples Observe and match: Multiples of 5 Multiples of 9 Multiples of 6 Multiples of 8 Multiples of 7 Multiples of 4 12, 18, 24, 30 16, 24, 32, 40 15, 20, 25, 30 18, 27, 36,45 14, 28, 35, 42 28, 36, 40, 44
  28. 28. Important concepts Factors Jupiter is the biggest planet of them all Hexagons Saturn is a gas giant and has several rings Equality Neptune is very far away from us Logarithm Ceres is located in the asteroid belt Binomial Mercury is the smallest planet Cube Venus is the second planet from the Sun Digit Mars is actually a very cold place Exponent Earth is the planet where we live on
  29. 29. Desktop software You can replace the image on the screen with your own work. Just right-click on it and select “Replace image”
  30. 30. Tablet app You can replace the image on the screen with your own work. Just right-click on it and select “Replace image”
  31. 31. Mobile app You can replace the image on the screen with your own work. Just right-click on it and select “Replace image”
  32. 32. Susan Bones Timmy Jimmy You can talk a bit about this person here You can talk a bit about this person here Our team
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  34. 34. Icon pack: math
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  39. 39. This presentation has been made using the following fonts: Shrikhand (https://fonts.google.com/specimen/Shrikhand) Open Sans (https://fonts.google.com/specimen/Open+Sans) #ff8cc9 #6af3f8 #ffffffff #5557f1 #3436df #000000ff Fonts & colors used
  40. 40. Create your Story with our illustrated concepts. Choose the style you like the most, edit its colors, pick the background and layers you want to show and bring them to life with the animator panel! It will boost your presentation. Check out How it Works. Pana Amico Bro Rafiki Cuate Storyset
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  42. 42. JANUARY FEBRUARY MARCH APRIL PHASE 1 Task 1 Task 2 JANUARY FEBRUARY MARCH APRIL MAY JUNE PHASE 1 PHASE 2 Task 1 Task 2 Task 1 Task 2
  43. 43. You can resize these icons without losing quality. You can change the stroke and fill color; just select the icon and click on the paint bucket/pen. In Google Slides, you can also use Flaticon’s extension, allowing you to customize and add even more icons. ...and our sets of editable icons
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