πŸ“š Practice With Worksheets

Practice finding equivalent rates, unit rates, and proportional relationships with printable review and assessment activities.

▢️ Learn With Videos

Review equivalent rates, fractional unit rates, and ratio comparisons before or after using the interactive model.

πŸ› οΈ How to Use This Tool

Choose the whole-number, fraction, or decimal tab, and then select a visual model, math problem, or word problem when that option is available.

In the whole-number visual model, select Equal Groups to reorganize the objects into identical groups and reveal the comparison inside each group.

Enter the unit rate, check your answer, and use the guided feedback or worked solution after making an attempt.

🧠 Things to Notice

A unit rate rewrites a ratio so the second quantity equals 1, making the comparison easier to interpret as β€œper 1” or β€œfor each 1.”

The original ratio and the unit-rate ratio are equivalent because both quantities are divided by the same number.

Whole-number unit rates can often be seen by making equal groups, while fraction and decimal unit rates may require division that does not produce whole objects.

πŸ“˜ Vocabulary

Ratio: A comparison of two quantities using division.

Rate: A ratio that compares quantities measured in different units.

Unit Rate: A rate in which the second quantity is 1.

Equivalent Ratios: Ratios that describe the same multiplicative comparison.

Greatest Common Factor (GCF): The greatest whole number that divides two quantities evenly and can determine the greatest number of identical groups.

🧩 Equal Groups Reveal the Unit Rate

Suppose a visual model shows 6 pencils for every 3 notebooks. The GCF of 6 and 3 is 3, so the objects can be rearranged into 3 identical groups.

Original Ratio
✏️ ✏️ ✏️ ✏️ ✏️ ✏️
πŸ““ πŸ““ πŸ““
6 : 3
3 Equal Groups
✏️ ✏️
πŸ““
✏️ ✏️
πŸ““
✏️ ✏️
πŸ““
Divide both quantities by 3.
One Equal Group
✏️ ✏️
πŸ““
2 : 1

6 : 3 Β β†’Β  (6 Γ· 3) : (3 Γ· 3) Β β†’Β  2 : 1

The GCF tells how many largest identical groups can be made. Looking inside one group shows the unit rate: 2 pencils for every 1 notebook.

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