Three Inquisitive Kids

Hi, I'm Karen, one of the recorders on this YouTube channel. Welcome to learning Chinese 8th grade math (translated) with us at the Inquisitive Kids YouTube channel! After going through this videos, I hope you were able to improve or get ahead in your math, no matter where you are. I recommend you bring a notepad and a pen/pencil to keep track of all the things you are learning, throughout all of these videos. So, please comment, share, like, or subscribe! Thank you! Our website: https://inquisitivekids.github.io 0:00: Introduction 2:29: Plotting Points on the Plane 13:47: Establishing A Coordinate Plane Based On Points 19:51: Class Summary/Conclusion

Hi, I'm Karen, one of the recorders on this YouTube channel. Welcome to learning Chinese 8th grade math (translated) with us at the Inquisitive Kids YouTube channel! After going through this videos, I hope you were able to improve or get ahead in your math, no matter where you are. I recommend you bring a notepad and a pen/pencil to keep track of all the things you are learning, throughout all of these videos. So, please comment, share, like, or subscribe! Thank you! Our website: https://inquisitivekids.github.io

Hi, I'm Karen, one of the recorders on this YouTube channel. Welcome to learning Chinese 8th grade math (translated) with us at the Inquisitive Kids YouTube channel! After going through this videos, I hope you were able to improve or get ahead in your math, no matter where you are. I recommend you bring a notepad and a pen/pencil to keep track of all the things you are learning, throughout all of these videos. So, please comment, share, like, or subscribe! Thank you! Our website: https://inquisitivekids.github.io

Problem: Karen and Kalie start from points A and B towards each other back and forth. The first time they meet is 4 kilometers from point A. The second time they meet is 3 kilometers from point B. What is the total distance between points A and B? Key: What factor causes the total distance between A and B to vary? Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: The four numbers a, b, c, and d each represent a different non-zero digit. If abcd is a multiple of 13, bcda is a multiple of 11, cdab is a multiple of 9, and dabc is a multiple of 7. What is the value of abcd? Key: Minimize the range of possibilities for abcd Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: A four digit number plus each of its own digits has a sum of 2011. What number is this? Key: Represent values from the problem using the same set of variables Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: Out of the numbers 1, 2, 3, 4, 5, 6, and 7, take three numbers. If the product of these three numbers is a multiple of three, what are the different ways to take three numbers AT ONCE? Key: Think through each of the two different conditions separately Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: Three times the product of three-digit-numbers abc and def is equal to the six-digit-number abcdef. What is this six-digit-number? Key: Rewrite multi-digit numbers in expanded form Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: A number dividing 70 and 103 results in the following remainders: a and 2a + 2. Find the value of a. Key: Change and shift equations so that the remainders are eliminated Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: There is a 1263 mm long steel piece. It needs to be cut into 64 mm long pieces and 90 mm long pieces. Every single time a cut is made, 1 mm of steel is wasted. If we want to keep the amount of wasted steel to a minimal amount, how many 64 and 90 mm long pieces should be cut? Key: Translate relationships given in the problem into relationships using math (equivalences / inequalities) Indefinite Equations: https://www.youtube.com/channel/UCOQ0vlqJDLEbF5I6RG5igZw/search?query=indefinite Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: A factory needs to create a total of 50 of products A and B out of materials 1 and 2. Each product A uses 9 kilograms of material 1 and 3 kilograms of material 2. Each product B uses 4 kilograms of material 1 and 10 kilograms of material 2. The factory has limited resources from each material 1 and 2. It has 360 kilograms of material 1, and 290 kilograms of material 2. How many product As and Bs does it need to produce so that it does not exceed the limited resources they have but also meets the requirements? Key: Translate the relationships given in the problem into relationships using mathematics (equivalences and inequalities) Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: Somewhere between points A and B there is a bridge. Kangbin and Kalie travel from points A and B towards each other at constant speeds and manage to meet each other, after three hours, on the bridge. If Kangbin's speed increased by 2 kilometers per hour, and Kalie started 0.5 hour before Kangbin did, they will still be able to meet on the bridge. If Kangbin traveled by his normal speed and Kalie decreased 2 kilometers per hour, but still started 0.5 hour before Kangbin did, they still meet each other on the bridge. What is the distance between A and B? Key: Visually express every scenario given in the problem and then compare in order to get the values needed Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: A train is traveling from Station 1 to Station 2. If it raises its speed by 20% than the planned speed, it will reach its destination 1 hour early. If it first travels by the planned speed for 240 kilometers, and then for the rest of the journey travels by raising its speed by 25%, it will reach its destination 40 minutes early. Find the total distance between Station 1 and Station 2, as well as the original planned speed of the train. Key: Visually express each of the different scenarios given and compare in order to get the values needed Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: Kangbin and Karen are walking from points A and B. They start from their points at the same time towards each other, and once they reach one point they turn around and continue walking. This goes on continuously between the two of them. Kangbin's speed is 15 kilometers per hour and Karen's speed is 25 kilometers per hour. The points in which the third time they meet and the fourth time they meet are 100 kilometers apart. What is the total distance between A and B? Key: Find speed ratio and create the sketch accordingly. Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: As shown in the figure, points A and B are on either ends of the diameter of a circle. Karen starts from point A and Kalie starts from point B and they start traveling in opposite directions at the same time. The first time they meet is at point C, which is 80 meters from point A. After that they continue moving at the same speeds and their second time meeting is at point D, which is 60 meters from point B. Find the circumference of this circle. Key: Approach the situation as a whole; Use ratios Please consider subscribing, here's our website: https://inquisitivekids.github.io

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Problem: In the 3x3 grid, three quarter circles are made with points A, E, and F as each of their center points respectively. S_1 is the space between the arc made by the quarter circle with point A as its center point and the arc made by the quarter circle with point E as its center point. S_2 is the space between the arc made by the quarter circle with point E as is center point and the arc made by the quarter circle with point F as its center point. What is S_1:S_2? Key: Express the irregular areas using the formulas you would use to find the areas of regular shapes Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: As shown in the figure, AC is the diameter of the large half circle and BC is the diameter of the small half circle. AB, AC, and CB are the three sides of triangle ABC. AC = 4, BC = 3, and AB = 5. Find the total area shaded. Key: Express the shaded area using the addition and subtraction of other regular shapes Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: As shown the radius of the large circle is equal to the diameter of each of the four smaller identical circles. If the shaded areas is labeled as S_1, and the unshaded areas is labeled as S_2, then what is the ratio between these two areas? (π=3.14) Key: Can you shift or change some of the ways the irregular shapes are placed so that it's easier to solve their area? Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: As shown, ABCD is a square. The total area in the figure that is shaded is ________. (Take π=3.14) Key: Think about how to make an irregular shape into regular shapes Please consider subscribing, here's our website: https://inquisitivekids.github.io

1. Holistic Approaches a. For some values and pieces of information given in the problem, handle them as a group or a whole, instead of one by one. 2. Cutting and filling a. When solving for areas of irregular shapes, try to first turn it into a regular shape and then remove the parts you've added, vice versa 3. Ratios a. Split a figure into multiple parts and then label the relationships between them 4. Functions Use the relationships between lengths, areas, etc. to create equations involving variables Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: There are 20 identical cubes in a container. Every time Anna takes cubes from the container, she can either take 1, 2, 3, or 4 at once, but has to make sure that the number of cubes left over in the container after each take is not a multiple of 3 or 4. How many different ways can you take cubes from the container until you have 0 left? Key: Enumerate Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: What is the maximum possible amount of sections 10 circles can split a plane into? Key: Start with the simplest scenarios and then find the pattern as you move into more complicated ones Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: How many different ways can you cover the shown 2x10 grid using 1x2 squares? (no overlaps) Key: Start from the simplest scenarios Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: Contestants A and B are competing in an alien chess tournament. There is no draws, meaning that there is always a winning side and a losing side. By the time one side wins three more matches than the opponent that side will win the tournament. If after 11 matches A has won the tournament with 7 matches won and 4 matches lost, how many different combinations of matches satisfies these pieces of information? Key: Create a grid to show every circumstance that's possible for A and B Please consider subscribing, here's our website: https://inquisitivekids.github.io