## Rational Numbers and Ratios

Student Learning Objectives

• Locate positive and negative rational numbers on the number line and explain the meaning of absolute value of a rational number.
• Use statements of inequality to determine relative positions of two rational numbers on a number line. Write and explain statements of order for rational numbers in real-world contexts.
• Plot ordered pairs in all four quadrants on the coordinate plane and describe their reflections.
• Solve real-world problems mathematically by graphing points in all four quadrants of the coordinate plane. Use absolute value of the differences of their coordinates to find distances between points with the same first coordinate or same second coordinate.
• Explain the relationship of two quantities or measures of a given ratio and use ratio language to describe the relationship between the two quantities.
• Use rate language in the context of a ratio relationship to describe a unit rate a/b associated with a ratio a:b, where b cannot equal 0.
• Use ratio and rate reasoning to solve real-world and mathematical problems that include making tables of equivalent ratios, solving unit rate problems, and finding percent of a quantity as a rate per 100.
• Use ratio and rate reasoning to convert measurement units.
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