Unit 4 - Ratios
Learning Outcomes
• Represent a relationship between two quantities using ratios.
• Use the notations 𝑎𝑎 𝑏𝑏 , 𝑎𝑎: 𝑏𝑏, and 𝑎𝑎 𝑡𝑡𝑡𝑡 𝑏𝑏 to represent a real-world comparative relationship. • Create a real-world relationship for a given ratio. • Represent ratios as fractions, mixed numbers, decimals and/or percents. • Determine the decimal and percent equivalents for numbers written as fractions or mixed numbers, including repeating decimals. • Identify equivalent relationships among fractions, decimals, and percents. • Compare two percents using pictures and symbols(<, ≤, ≥, >, =). • Order no more than four positive rational numbers (fractions, mixed numbers, decimals and percents). • Identify the unit rate of a proportional relationship represented by a table of values. • Identify the unit rate of a proportional relationship described in a practical situation. • Use a unit rate to determine the missing value in a ratio tab |
Essential Questions
• How can you use a ratio to compare two quantities?
• How can you prove that two ratios are proportional? • How is being able to determine equivalent ratios helpful in solving real world problems? • How can you model and solve problems involving unit rates? • How can you use models or ratio reasoning to solve percent problems? |
Unit 4 Vocabulary
Ratio
positive negative comparative notation |
Rate
Quantities Rational Number Percent Table of Values |
Whole to Whole
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whole-to-whole ratios are typically not written in fraction form because it can cause confusion about the meaning of the ratio, which is known as RATE.
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