Mathematics Question and Solution

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Let the two equal lengths be 1 unit. (a) Calculating Theta exactly. Let theta be x. Calculating x. x = ½(90-54) x = ½(36) x = 18° sin18 = a/1 a = 0.30901699437 unit. b = 90-18 b = 72° sin72 = c/1 c = 0.9510565163 unit. tan36 = 0.9510565163/d d = 1.30901699437 units. Area Blue is; 0.5(1.30901699437*0.9510565163) = 0.62247457122 square units. e = 270-54-96 e = 120° f = 360-120-72 f = 168° g² = 2-2cos168 g = 1.98904379074 units. h = ½(180-168) h = 6° (1.98904379074/sin54) = (i/sin24) i = 1 units....

Anna's Story

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Short Story written by: Chris Morales. There was a girl called Anna, who was studying in Esmarth Vil, a primary school in the United States. She was the most hardworking girl at her school, her marks were higher than the others. She was the best, but nobody wanted to be her friend. They didn't want to play with her and teased her. One day, the teacher set an exam and a boy called Robert signed his exam using Ana´s name. So, when the teacher returned all the exams, everybody was shocked. Ann...

Golfy and The Christmas Tree

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Once upon a time… There was a golf club called Golfy, who played golf every day on a golf links made precisely to practice this sport on the outskirt of the city. The golf club was a marvellous golf player. He always won competitions and golf tournaments. Well…actually, not always…because one day, a new tree appeared on the golf links, called Little Tree, and this tree really liked golf balls, and used to keep them by hanging them from his own branches at Christmas. The golf links groundsm...

Mathematics Question and Solution

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Let x^(7) be p. Therefore; p²-843p+1 = 0 p = ½(843±377√(5)) p = ½(843-377√(5)) Or p = ½(843+377√(5)) And p = x^(7) It implies; x = (½(843-377√(5)))^(1/7) Or x = (½(843+377√(5)))^(1/7) x = 0.38196601125 Or x = 2.61803398875 Therefore; x^(5) + (1/x^(5)) is; For x = 0.38196601125 x^(5) + (1/x^(5)) = 123 For x = 2.61803398875 x^(5) + (1/x^(5)) = 123 Answer is 123

Four principles of deeply effective math teaching

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$four-principles-of-deeply-effective-math-teaching_1682229626iGZVCQ.jpeg$

Principle 1: Let It Make Sense Let us strive to teach for understanding of mathematical concepts and procedures, the "why" something works, and not only the "how". This understanding, as I'm sure you realize, doesn't always come immediately. It may take even several years to grasp a concept. For example, place value is something children understand partially at first, and then that deepens over a few years. This is why many math curricula use spiraling: they come back to a concept the next yea...

Rudolf, The Bad Mouse

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Short Story for girls and boys written by: Graccgi. Once upon a time… …there was a mouse called Rudolf who was a very bad mouse. One day, Lucy, Rudolf´s neighbour came back from shopping and needed help carrying her bags full of food, so she asked him: – “Hi Rudolf, Can you help me to carry these bags, please?”. – “No!” – Rudolf replied. The little mouse girl started crying. Just at that moment, a handsome young mouse, called Richard, was walking along the street. He saw the little mouse girl...

Prince Luram and The Vegetable Kingdom

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Short Story for Kids written by: Carolina Mora Arévalo. Nobody wanted to be King of the Vegetable kingdom as it was such a difficult responsibility. The kingdom was full of all kinds of colors, green spinach, orange carrots, red tomatoes, white onions, yellow peppers, and florets of cauliflower and broccoli everywhere. It was an amazing place full of health and strength. Messages were sent out around the kingdom for them to choose a King. But nobody wanted to assume the charge. They all pr...

Mathematics Question and Solution

https://onlineedumath.com.free/update/mathematics-question-and-solution/1770457

The side length of the congruent Hexagons is 2 unit. Area hexagon is; (6*2²)/(4tan30) = 6√(3)) square units. a² = 8-8cos30 a = √(8-4√(3)) unit. Area ABC is; ½(√(8-4√(3)))²sin60 = (2√(3)-3) square units. (d) Area Hexagon ÷ Area ABC exactly is; (6√(3)) ÷ (2√(3)-3) = 6(2+√(3)) (c) Calculating Area Green to 2 decimal places. b = a + √(2²+2²) b = √(8-4√(3))+2√(2) b = (√(2)+√(6)) units. b = 3.86370330516 units. c² = 8-8cos120 c = 2√(3) units. Area Green is; 2((0.5x2*2sin120) + (0.5*2√(3)*(√(2)+√(6)...

Mike's Magic Pencil

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Once upon a time, there was a 7 year old boy named Mike. One day, as Mike was walking through the playground at school, he found something half buried in the dirt. He took a good look at it but was not able to recognize what the object was. Mike found a small stick to help him dig up the object, and after a few minutes Mike was able to pull out the object. He finally saw that it was only an old pencil. “Oh, it’s only an old pencil,” he said, disappointed. He decided to take the pencil wit...

Mathematics Question and Solution

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Let the biggest regular pentagon side length be 2 units. sin72 = a/2 a = 1.90211303259 units. tan72 = (1.90211303259/b) b = 0.61803398875 unit. c = 2b c = 1.2360679775 units. Where c is the side length of the regular red and blue pentagon. Calculating area of the regular red and blue pentagon. (5*1.2360679775²)/(4tan36) = 2.6286555606 square units. d² = 8-8cos108 d = 3.2360679775 units. e = ½(3.2360679775-c) e = 1 unit. f² = 8-8cos36 f = 1.2360679775 units. g² = 2-2cos36 g = 0.61803398875 unit...

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Mathematics Question and Solution

Anna's Story

Golfy and The Christmas Tree

Mathematics Question and Solution

Four principles of deeply effective math teaching

Rudolf, The Bad Mouse

Prince Luram and The Vegetable Kingdom

Mathematics Question and Solution

Mike's Magic Pencil

Mathematics Question and Solution

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