Scale Table Answer Key
About This Worksheet
This worksheet gives students a structured way to study how a fractional scale factor changes a starting number. Each row includes a starting value, a fraction, a comparison decision, and space to find the product. For example, 12 multiplied by ½ produces a smaller number because ½ is less than 1. The table format helps students connect the size of the fraction with the size of the final product.
Curriculum and Grade Alignment
This fifth-grade activity supports CCSS.MATH.CONTENT.5.NF.B.5 by helping students interpret multiplication as scaling. Students should already know how to multiply whole numbers by fractions and compare fractions with 1. The next step is using these relationships in word problems and in situations where students must predict or explain changes in quantity. This worksheet combines calculation and reasoning in one organized activity.
Student Tasks
On this worksheet, students will examine eight starting numbers and fraction scale factors. They first decide whether the fraction will make the original number larger, smaller, or the same. Then they multiply to find the actual product and record it in the last column. The mix of scale factors encourages students to use both fraction comparison and multiplication skills.
Common Challenges
Some students may solve the multiplication first and skip the comparison step. Others may confuse fractions such as 6/5 with fractions less than 1 because both numbers are close together. A scale factor equal to 1, such as 7/7 can also be overlooked. Teachers can help by asking students to classify the scale factor before doing any arithmetic.
Teaching Tips
This worksheet is especially useful for guided practice because the table naturally breaks the thinking into steps. A teacher can complete one row with the class and explain how the scale factor predicts the product size. Parents can cover the product column and ask children to complete all the larger, smaller, or same decisions first. This keeps the reasoning portion from becoming an afterthought.
Worksheet Features
The worksheet includes eight rows with clearly labeled columns for starting number, scale factor, comparison, and product. The scale factors include examples less than 1, equal to 1, and greater than 1. Students get repeated practice with the same decision-making process while working with different numbers. The organized layout makes the page useful for classroom instruction, small groups, homework, or assessment.