📝 Practice Worksheets
🛠️ Related Tools
🔑 Key Concepts
- A ratio word problem compares two related quantities.
- A ratio table can help organize equivalent ratios.
- If one quantity is multiplied by a number, the other related quantity must be multiplied by the same number.
- Always identify what the problem is asking before choosing your operation.
- Equivalent ratios can be used to scale a recipe, mixture, drawing, or real-world situation.
✏️ Worked Examples
🧠 Math Vocabulary
- Ratio: a comparison of two quantities.
- Equivalent ratios: ratios that name the same relationship.
- Ratio table: a table that organizes pairs of equivalent ratios.
- Scale factor: the number used to multiply both quantities in a ratio.
- Proportional relationship: a relationship where two quantities increase or decrease by the same factor.
💡 Main Idea
Ratio word problems can often be solved by finding equivalent ratios. You can use a ratio table to build up to the needed amount, or you can find the scale factor and multiply both quantities by the same number.
📚 What You Should Already Know
Students should know how to multiply fractions by whole numbers, read a word problem carefully, identify the two quantities being compared, and create equivalent ratios by multiplying both parts by the same number.
🚀 What Comes Next
After solving ratio word problems with tables and scale factors, students can use the same reasoning to solve unit rate problems, percent problems, proportional relationships, and double number line problems.
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