Recipe Match Answer Key

This worksheet helps students decide whether two recipes use equivalent ingredient ratios. Each problem shows Recipe A and Recipe B with two ingredient amounts, such as berries and yogurt, cereal and nuts, orange juice and lime juice, flour and milk, or juice and sparkling water. Students compare the two ingredient ratios and decide whether the recipes form a Proportion or are Not a Proportion. This makes the idea of equivalent ratios much easier to understand because students can imagine whether the second recipe would have the same taste or mixture as the first.

For a parent, the easiest way to explain this is that the balance of ingredients has to stay the same. If Recipe A uses 2 cups of berries for every 3 cups of yogurt and Recipe B uses 6 cups of berries for every 9 cups of yogurt, both amounts were multiplied by 3. That means the recipes are proportional. But if one ingredient changes by a different factor than the other, the mixture has changed and the recipes are not proportional.

Learning Goals

• Compare Ingredient Ratios: Students identify the ratio in each recipe.
• Determine Proportionality: Learners decide whether two recipes have equivalent ratios.
• Use Scale Factors: Students check whether both ingredients changed by the same multiplier.
• Simplify When Helpful: Learners reduce larger ingredient ratios to compare them.
• Apply Ratios to Real Life: Students connect proportional reasoning to cooking and mixtures.

Parent-Friendly Teaching Tips

Use this routine:

1. Write the ingredient ratio for Recipe A.
2. Write the ingredient ratio for Recipe B in the same order.
3. Check whether both parts changed by the same factor.
4. If yes, write Proportion.
5. If not, write Not a Proportion.

For example:

Recipe A: 2 cups berries : 3 cups yogurt
Recipe B: 6 cups berries : 9 cups yogurt

2 × 3 = 6
3 × 3 = 9

So the recipes form a Proportion.

Why This Worksheet Helps

• Makes Proportions Concrete: Students can picture the effect of changing a recipe incorrectly.
• Strengthens Equivalent-Ratio Skills: Learners repeatedly compare two ratios.
• Builds Scale-Factor Thinking: Students look for one common multiplier.
• Connects Math to Everyday Life: Recipes give proportional reasoning an obvious purpose.
• Encourages Meaningful Checking: Students can think about whether the flavor or mixture would stay the same.

The real value of this worksheet is that it helps students understand that a proportion represents the same balance between two quantities. Ingredients, scale factors, simplification, and equivalent ratios all work together. For parents, the best reminder is: “If both ingredients changed by the same factor, the recipe stayed proportional.”