Questions and Answers
What is the definition of a coordinate plane?
What are equivalent ratios?
Ratios that express the same relationship between two quantities.
What does it mean to graph a point?
To place a dot at a point named by an ordered pair.
What is the greatest common factor?
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What is the least common multiple?
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What is an ordered pair?
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What is the origin in a coordinate plane?
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What is prime factorization?
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What is a rate?
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What is a ratio?
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What is a ratio table?
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What does scaling mean?
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What is the unit price?
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What is a unit rate?
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What is the x-axis?
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What is the x-coordinate?
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What is the y-axis?
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What is the y-coordinate?
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Study Notes
Definitions and Concepts
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Coordinate Plane: A two-dimensional plane formed by the intersection of a horizontal (x-axis) and vertical (y-axis) number line at their zero points.
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Equivalent Ratio: Ratios that represent the same relationship between two quantities, allowing different numerical expressions to convey the same proportion.
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Graph: The action of plotting a point at a specific location defined by an ordered pair on the coordinate plane.
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Greatest Common Factor (GCF): The largest factor shared by two or more numbers, simplifying common ratios.
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Least Common Multiple (LCM): The smallest whole number greater than zero that is a common multiple among two or more numbers.
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Ordered Pair: A set of two numbers used to define a specific location on the coordinate plane, typically formatted as (x-coordinate, y-coordinate).
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Origin: The point where the x-axis and y-axis intersect, designated as (0, 0) on the coordinate plane.
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Prime Factorization: A method of breaking down a composite number into a product of its prime factors, ensuring every factor is prime.
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Rate: A specialized ratio comparing two quantities of different units, such as speed (miles per hour).
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Ratio: A comparison of two quantities through division, expressed in several formats including fractions, decimals, or fraction-like structures (e.g., 2:3, 2/3).
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Ratio Table: A structured table consisting of rows and columns representing pairings of numbers that maintain the same ratio throughout.
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Scaling: The process of increasing or decreasing two related quantities by the same factor, preserving the original ratio.
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Unit Price: The cost associated with a single unit of measurement, helpful for comparing costs in various contexts.
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Unit Rate: A streamlined version of a rate where the second quantity is reduced to one unit, facilitating easy comparison (e.g., miles per hour as 60 mph).
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X-Axis: The horizontal line on the coordinate plane, usually representing the independent variable in a graph.
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X-Coordinate: The first number in an ordered pair that indicates the horizontal position of a point on the coordinate plane.
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Y-Axis: The vertical line in the coordinate plane, typically used to represent the dependent variable in a graph.
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Y-Coordinate: The second number in an ordered pair that indicates the vertical position of a point on the coordinate plane.
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Description
Test your knowledge on key terms from Course 1 Chapter 1 focusing on Ratios and Rates. This flashcard set covers essential concepts such as the coordinate plane, equivalent ratios, and the greatest common factor. Perfect for reinforcing foundational mathematical concepts.