Mathematics Grade 6 15 min

Coordinate planes as maps

Coordinate planes as maps

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1

Introduction & Learning Objectives

Learning Objectives Identify the x-axis, y-axis, origin, and quadrants on a coordinate plane. Locate points on a coordinate plane given their ordered pairs. Write the ordered pair for a given point on a coordinate plane. Understand how a coordinate plane can represent a map or grid. Use ordered pairs to describe locations and paths on a map-like coordinate plane. Solve simple real-world problems involving navigation on a coordinate plane. Ever wondered how GPS knows exactly where you are? 🗺️ It uses a special kind of map called a coordinate plane! In this lesson, you'll learn how to read and use coordinate planes just like maps. We'll discover how numbers can help us find exact locations and give directions, making navigation super easy! Real-World Applications...
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Key Concepts & Vocabulary

TermDefinitionExample Coordinate PlaneA flat surface formed by two intersecting perpendicular number lines, used to locate points.Imagine a checkerboard or a city grid where each square has a unique address. x-axisThe horizontal number line on a coordinate plane, representing the first value in an ordered pair.The street running east-west on a city map, usually labeled 'x'. y-axisThe vertical number line on a coordinate plane, representing the second value in an ordered pair.The street running north-south on a city map, usually labeled 'y'. OriginThe point where the x-axis and y-axis intersect, always at (0,0).The very center of a map, often marked as the 'start here' point. Ordered PairA pair of numbers (x, y) that gives the exact location of a point on a co...
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Core Formulas

Rule for Locating Points (Ordered Pairs) $(x, y)$ The first number, $x$, tells you how many units to move horizontally (right for positive). The second number, $y$, tells you how many units to move vertically (up for positive). Always start at the origin $(0,0)$. Rule for Identifying Axes Horizontal line = x-axis; Vertical line = y-axis The x-axis runs left-to-right, like the horizon. The y-axis runs up-and-down, like a tall tree. They help you orient yourself on the map.

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Sample Practice Questions

Challenging
A map shows three corners of a rectangular garden at (2, 1), (8, 1), and (8, 5). What are the coordinates of the fourth corner of the garden?
A.(2, 5)
B.(5, 2)
C.(1, 8)
D.(8, 2)
Challenging
A secret message is hidden at (5, 3) on a treasure map. The map key says that to find the real treasure, you must reflect this point across the horizontal line where y=6. What are the coordinates of the real treasure?
A.(3, 1)
B.(9, 5)
C.(6, 5)
D.(5, 9)
Challenging
A hiker ended their day at a shelter located at (5, 4) on a trail map. They remember that the last part of their hike involved moving 4 units west and 3 units south. What were the coordinates of the hiker's location before this last part of the hike?
A.(9, 7)
B.(1, 1)
C.(4, 5)
D.(12, 11)

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