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Жазықтықтағы координаталар
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1. Lesson 6.7.14
- Координатадағы нүктелердің арақашықтығы
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2. Practice 6.7.14
- IM 6.7.14 Practice: Distances on a Coordinate Plane
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Жазықтықтағы координаталар
IM 6 – 8 Math, GeoGebra Classroom Activities, Алданазарова Айгерим, Dec 10, 2022
“Distances on a Coordinate Plane” from IM Grade 6 by Open Up Resources and Illustrative Mathematics. Licensed under the Creative Commons Attribution 4.0 license.
Table of Contents
- Lesson 6.7.14
- Координатадағы нүктелердің арақашықтығы
- Practice 6.7.14
- IM 6.7.14 Practice: Distances on a Coordinate Plane
Координатадағы нүктелердің арақашықтығы
Белгіленген жазықтықта нүктелерді белгілеңіз және оларды координаталарымен белгілеңіз.
Төмендегі графикте көрсетілген әрбір нүктенің координаталарын жазыңыз.
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Әр оқушы осы сұрақтарға жауап беріңіз.
- Бас нүктеден бірдей қашықтықта жатқан нүктелердің координаталарын жазыңыз. Олар бір-бірінен қалай ерекшеленеді?
Олардың у осіне дейінгі қашықтығы қандай?
Олардың х осінен дейінгі қашықтығы қандай?
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F нүктесінің координаталары С нүктесімен бірдей, тек оның у-координатасы қарама-қарсы таңбаға ие. Координаталық жазықтықта F нүктесін салыңыз және оны координатасын жазыңыз.
және нүктелерінің -осіне дейінгі қашықтығы қандай ?
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және нүктелерінің қашықтығы қанша?
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G нүктесінің координаталары Е нүктесімен бірдей, тек оның х-координатасы қарама-қарсы таңбаға ие. Координаталық жазықтықта G нүктесін салыңыз және оны координаталарымен белгілеңіз.
және нүктелерінің -осіне дейінгі қашықтығы қандай ?
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және нүктелерінің арақашықтығы қанша?
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нүктесінің координаталары нүктемен бірдей,тек оның екі координатының да таңбалары қарама-қарсы. нүктесі қай ширекте орналасқан?
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Әр нүктені координаталарымен белгілеңіз.
Төмендегі нүктелердің әрқайсысының арасындағы қашықтықты табыңыз.
және
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және нүктелері
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және нүктелері
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Нүктелердің қайсысынан 5 бірлік жылжытқанда нүктесіне сәйкес келеді?
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А нүктесінен 2,5 бірлік және Е нүктесінен 9 бірлік болатын нүктенің графигін салыңыз. F нүктесін белгілеп, координаталарын жазыңыз.
Мерей былай дейді: «Координата осьтерінен 3 бірлік қашықтықта орналасқан төрт нүкте бар. Мирас: «Менің ойымша, нүктеден 3 бірлік қашықтықта орналасқан көптеген нүктелер бар» дейді.”
Сіз олардың қайсысымен келісесіз бе? Өз ойыңызды түсіндіріңіз.
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IM 6.7.14 Practice: Distances on a Coordinate Plane
Here are 4 points on a coordinate plane. Label each point with its coordinates.
- Label each point with its coordinates.
- Plot a point that is 3 units from point . Label it .
- Plot a point that is 2 units from point . Label it .
Each set of points are connected to form a line segment. What is the length of each?
A = and B =
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C = and D =
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E = and F =
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On the coordinate plane, plot four points that are each 3 units away from point P = (-2, -1). Write the coordinates of each point.
Noah’s recipe for sparkling orange juice uses 4 liters of orange juice and 5 liters of soda water.
Noah prepares large batches of sparkling orange juice for school parties. He usually knows the total number of liters, , that he needs to prepare. Write an equation that shows how Noah can find , the number of liters of soda water, if he knows .
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Sometimes the school purchases a certain number, , of liters of orange juice and Noah needs to figure out how much sparkling orange juice he can make. Write an equation that Noah can use to find if he knows .
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For a suitcase to be checked on a flight (instead of carried by hand), it can weigh at most 50 pounds. Andre’s suitcase weighs 23 kilograms.
Can Andre check his suitcase? Explain or show your reasoning. (Note: 10 kilograms 22 pounds)
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