Pair Finder

This worksheet asks students to find the missing value that makes each proportion true. A number bank is provided at the top, and students use each value only once. Each problem already shows most of the proportion, so students must determine which number completes the equivalent relationship. This combines proportion solving with a matching-style challenge, making the activity more engaging while also giving students a built-in way to check their answers.

For a parent, the main idea is that the missing number has to make both ratios represent the same relationship. Students can solve by using scale factors or cross multiplication. For example, if 2/5 = 4/___, the numerator doubled from 2 to 4, so the denominator must also double from 5 to 10. The missing number is 10.

Learning Goals

• Find Missing Values in Proportions: Students determine which number completes each equivalent ratio pair.
• Use Scale Factors: Learners identify how one ratio was enlarged or reduced.
• Use Cross Multiplication When Needed: Students have another method for less obvious relationships.
• Use a Number Bank Strategically: Learners match solutions while using each option only once.
• Strengthen Equivalent-Ratio Reasoning: Students focus on preserving the same relationship.

Parent-Friendly Teaching Tips

Try the easiest method first.

For example:

2/5 = 4/___

2 became 4 by multiplying by 2.

So:

5 × 2 = 10

The missing number is 10.

If the scale factor is not obvious, cross multiply.

For example:

3/7 = 6/x

3x = 42

x = 14

Why This Worksheet Helps

• Builds Proportion Fluency: Students practice finding missing values repeatedly.
• Encourages Efficient Strategies: Learners can use scale factors when possible and cross multiplication when needed.
• Provides Built-In Checking: The number bank helps students notice when an answer may be wrong.
• Strengthens Multiplication and Division: Both operations support the solving process.
• Prepares for Algebra: The missing blank is functioning like an unknown variable.

The main value of this worksheet is that it helps students see a proportion as a balanced relationship with one missing piece. Equivalent ratios, scale factors, multiplication, division, and checking all work together. For parents, the best coaching question is: “What number keeps both ratios equivalent?”