Topic20
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The document discusses the relationship between four consecutive numbers (such as 1, 2, 3, 4) and their products. It shows that multiplying the four numbers together and adding 1 equals the square of the sum of the first and last numbers plus 1. This relationship holds true for any set of four consecutive numbers.
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Indices
1) The document provides instructions for solving various mathematical equations and expressions involving indices.
2) Examples include solving equations for specific values of x, expressing one term in terms of others, and solving simultaneous equations.
3) Key steps shown include isolating variables, applying inverse operations, and setting expressions equal to find solutions.
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1. A daily agenda to review for a test on quadratic equations, cover new Khan Academy topics including graphing parabolas and solving quadratics by taking the square root or completing the square.
2. Announcements about completing Khan Academy topics last week and new topics for this week.
3. A reminder about an upcoming test on quadratic equations tomorrow and a request to bring calculators.
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Indices
1) The document provides instructions for solving various mathematical equations and expressions involving indices.
2) Examples include solving equations for specific values of x, expressing one term in terms of others, and solving simultaneous equations.
3) Key steps shown include isolating variables, applying inverse operations, and setting expressions equal to find solutions.
Imaginary numbers
Imaginary numbers are numbers that include a unit of the imaginary number i, which equals the square root of -1. There are two types of numbers, real numbers like integers and rational numbers, and imaginary numbers like 3i. Imaginary numbers are used in calculators by changing the mode to include complex numbers with real and imaginary parts. When working with imaginary numbers, you need to follow rules like not having i in the denominator and using conjugate pairs when dividing. Box diagrams are used to multiply terms with real and imaginary parts, while the quadratic formula can be used to solve quadratic equations that produce imaginary number solutions.
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Period 8
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3) Refraction is defined as the deviation of light's path when passing from one medium to another.
Period 7
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Period 6
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Period 5
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Period 3
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Period 2
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Period 1
The document describes an experiment to observe how different materials reflect, partially reflect, and absorb light. Students are instructed to shine a flashlight on objects like metal, glass, cardboard, and cloth and classify whether each material reflects light well, partially reflects light, or absorbs light. They then record their observations in a table.
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Period 7
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Period 6
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Period 5
The postmaster would likely feel doubtful after reading Lencho's second letter. While Lencho depended on God and asked for help freely, he also doubted the innocent people at the post office. The postmaster thinks Lencho views his faith as blinded and one-sided, lacking thankfulness for the help he received. Lencho thought the post office employees were crooks because he had profound faith in God and couldn't doubt God, so he had to doubt others instead.
Period 4
Lencho received an envelope with money from God, but was only 70 pesos instead of the full 100 pesos he was expecting. He believed the post office employees had stolen the remaining 30 pesos. First, Lencho sat at a public writing table and wrote a letter. Then he went to the window to buy a stamp, licked it, and affixed it to the envelope. Finally, he dropped the letter into the mailbox, accusing the post office of theft in the letter. Lencho is described as a poor farmer with unshakable faith in God, though he may have relied on God too fully without understanding other factors.
Period 3
Lencho was a simple Mexican peasant man who worked hard like an animal in the fields. Early one morning, he wrote a letter to God asking for help, showing his great faith. The postmaster was amazed by Lencho's profound trust in God. He decided Lencho should receive a reply and tried to collect 100 pesos to give to him, though some employees thought this was foolish.
Period 2
Lencho knew it was going to rain because he had been scanning the sky all morning. When the rain started, Lencho was happy because the rain drops looked like coins falling from the sky. However, his happiness was short-lived as a hailstorm soon arrived, bringing large hailstones that destroyed the corn crop, leaving Lencho and the valley facing hunger for the year without the harvest.
Period 1
Christina Rossetti was a British poet born in 1830 in London, England. She is best known for her ballads and mystic lyrics, which are marked with symbolism and intense feeling. Her most famous work is Goblin Market and Other Poems.
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Ben and Sen go to the park where they see a swing and sit on it. They then see a see-saw and decide to sit on that as well, enjoying the playground equipment at the park.
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1) A pencil placed obliquely in a glass of water appears broken due to the bending of light at the interface between air and water.
2) A coin on a plate disappears from view as a student walks backward, but reappears when water is poured on the plate, due to the refraction of light rays at the air-water interface.
3) Refraction is defined as the deviation of light's path when passing from one medium to another.
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These unique metal mirrors called Aranmula kannadi are produced by a single family in Kerala, following a traditional process handed down over generations. The mirrors are made by melting copper, tin, and zinc in specific proportions, then pouring the alloy onto a wrought iron crucible and polishing, with their origins linked to a local temple. They are prized for their historical, cultural, and purported lucky significance.
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The document describes two activities with a plane mirror. In the first activity, a person raises their left and right hands in front of a mirror and observes that their right side appears on the left side of the image and vice versa, demonstrating lateral inversion. The second activity has a person place various objects in front of a mirror at different distances and observe that the size of the image is the same as the object but the distance between the image and mirror is equal to the distance between the object and mirror.
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To see objects, light is required. Light travels from an object to our eyes in order for us to see the object. In a dark room without any light, we are unable to see objects as light is not available to travel from the objects to our eyes.
Period 2
Light from a torch was directed onto a mirror, steel plate, and smooth floor tile. The mirror best reflected the light due to its smooth surface. When light falls on smooth, regular surfaces like mirrors it is reflected regularly in the same direction. Light that falls on rough surfaces like cardboard, roof tiles, and cloth is reflected irregularly in many directions, which is known as diffuse reflection.
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The document describes an experiment to observe how different materials reflect, partially reflect, and absorb light. Students are instructed to shine a flashlight on objects like metal, glass, cardboard, and cloth and classify whether each material reflects light well, partially reflects light, or absorbs light. They then record their observations in a table.
Period 9
The document describes Lencho's story which appeals to the five senses through descriptions of smell, sight, taste, hearing and touch. It lists examples that appeal to each sense, such as 'Fresh and sweet air' appealing to smell and 'The field was white' appealing to sight. The document also lists occupations that can help with different needs, such as a carpenter to make a table or a doctor when one is ill.
Period 7
This document contains 5 statements, 3 of which are marked as true and 2 as false. The true statements are that Indira received many presents for her birthday, Nehru enjoyed advising his daughter, and that history describes great periods led by great men and women. The false statements are that hiding something shows fear and that Nehru wrote Indira a very long letter.
Period 6
Lencho narrates the events of posting his second letter to God requesting money to his wife. He tells her about receiving a letter from God in reply containing 70 pesos, but believing 30 pesos were stolen by corrupt post office employees. Lencho writes another letter to God expressing his doubts and demanding the remaining 30 pesos not be sent by mail.
Period 5
The postmaster would likely feel doubtful after reading Lencho's second letter. While Lencho depended on God and asked for help freely, he also doubted the innocent people at the post office. The postmaster thinks Lencho views his faith as blinded and one-sided, lacking thankfulness for the help he received. Lencho thought the post office employees were crooks because he had profound faith in God and couldn't doubt God, so he had to doubt others instead.
Period 4
Lencho received an envelope with money from God, but was only 70 pesos instead of the full 100 pesos he was expecting. He believed the post office employees had stolen the remaining 30 pesos. First, Lencho sat at a public writing table and wrote a letter. Then he went to the window to buy a stamp, licked it, and affixed it to the envelope. Finally, he dropped the letter into the mailbox, accusing the post office of theft in the letter. Lencho is described as a poor farmer with unshakable faith in God, though he may have relied on God too fully without understanding other factors.
Period 3
Lencho was a simple Mexican peasant man who worked hard like an animal in the fields. Early one morning, he wrote a letter to God asking for help, showing his great faith. The postmaster was amazed by Lencho's profound trust in God. He decided Lencho should receive a reply and tried to collect 100 pesos to give to him, though some employees thought this was foolish.
Period 2
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Period 1
Christina Rossetti was a British poet born in 1830 in London, England. She is best known for her ballads and mystic lyrics, which are marked with symbolism and intense feeling. Her most famous work is Goblin Market and Other Poems.
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Topic20
- 1. Relation between four consecutive numbers and its products
- 2. Consider four consecutive numbers 1 , 2 , 3 , 4 Now find the product of this number and add ‘1’ to the product
- 3. Product = 1 x 2 x 3 x 4 = 24 Add ‘1’ to the product ,then it is 25
- 4. Find the product of 1 st and last of this Number (1,2,3,4) and add ‘1’ to it i.e (1x4)+1 = 4+1 = 5
- 5. What is the relation between this number and the product? square of 5=25
- 6. Find the relation between any other four consecutive numbers and its products