Missing Ratios
About This Worksheet
This worksheet helps seventh-grade students complete proportional tables by using a constant relationship between x and y. Each table contains some missing values, so students must first find the constant of proportionality and then use it to fill in the blanks. The problems include several different number patterns, which keeps students from relying on one repeated setup. This activity gives them a practical way to see how one constant rate controls an entire table. It also strengthens the connection between proportional reasoning and solving for unknown values.
What Students Practice
Students examine each table, use a known x-y pair to determine k, and then apply that same multiplier to the remaining values. In some problems, they may need to solve backward from y to x by dividing instead of multiplying. Students record the constant of proportionality after completing each table, which helps them connect the missing values with the overall rule. The repeated use of k reinforces the idea that proportional relationships are built from one consistent rate. Students also practice checking whether every completed pair fits the same relationship.
Why This Matters
A proportional table is more than a collection of multiplication facts. Every row or column represents the same relationship, and the constant of proportionality is what ties all of those values together. Filling in missing values helps students understand how one known pair can be used to predict many others. This idea becomes important in real-world rate problems, graphing, equations, and later slope work. It also builds confidence with solving unknown values without needing a formal proportion equation every time.
Teaching Tips
Have students find k before they try to fill in any blanks. Ask them to explain the relationship in words, such as “y is three times x,” because this can make the pattern easier to follow. When the missing value is in the x-row, remind them that they may need to divide instead of multiply. Encourage students to check one completed pair by calculating y/x and confirming that it matches the same k. This quick check is an easy way to catch mistakes.
Curriculum Standards
This worksheet supports CCSS.MATH.CONTENT.7.RP.A.2.B, which asks students to identify the constant of proportionality in tables, graphs, equations, and other representations. It also supports CCSS.MATH.CONTENT.7.RP.A.2.C because students use equations in the form y = kx, even if they are thinking about the rule informally. Completing missing values strengthens the broader Grade 7 expectation of using proportional relationships to solve mathematical problems. The worksheet is a good fit for independent practice, intervention, homework, or review.