๐ Practice With Worksheets
Practice identifying proportional relationships, writing equations from tables, and connecting tables to graphs.
โถ๏ธ Learn With Videos
Review how to find the constant of proportionality, use it to find missing values, and identify proportional relationships in graphs.
๐ ๏ธ How to Use This Tool
Choose the table-value types you want to practice. Whole numbers, fractions, and decimals may be selected separately or combined, while Negatives acts as a modifier.
Use any corresponding pair in the table and calculate y รท x. Enter k as a decimal or as a fraction in lowest terms, then select Check Answer.
After the first checked answer, you may reveal the answer or display the y รท x ratio column. Use New Table for another example, and use Hide Controls when projecting the table for a class discussion.
๐ง Things to Notice
The rows do not have to be arranged from least to greatest. Any corresponding pair produces the same constant of proportionality.
Fractions, decimals, whole numbers, and negative values can represent the same proportional relationship when every row has the same value of y รท x.
When negative values are included, pay close attention to integer division rules. Equal signs produce a positive quotient, while opposite signs produce a negative quotient.
๐ Vocabulary
Proportional Relationship: A relationship in which the ratio of y to x remains constant.
Constant of Proportionality: The constant value k found by dividing y by x.
Ratio Table: A table containing pairs of equivalent ratios.
Corresponding Values: An x-value and y-value that belong to the same row or ordered pair.
Unit Rate: A rate that compares a quantity to one unit of another quantity.
๐ Constant of Proportionality
For a proportional relationship, divide y by its corresponding x-value to find the constant of proportionality.
\(k=\frac{y}{x}\)
Once k is known, write the proportional equation by multiplying x by the constant of proportionality.
\(y=kx\)
Every row in a proportional table must produce the same value of k. If the ratios are not equal, the relationship is not proportional.
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