Grade 6

Ratios and unit rates

Use ratios to compare quantities and unit rates to find the value for one item or one unit.

Category: Number Sense & Math Thinking 12 min Advanced
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A ratio compares two linked amounts. A unit rate tells how much for one, which helps with price and speed comparisons.

Read and think

Open one card at a time, read the text together, and use the audio button when hearing the line once helps.

Read and think Text card

In a class club, 12 students chose chess and 8 chose art.

ratio setup

Compare the two numbers in the same order each time.

Example: The ratio of chess to art is 12:8 or 3:2.

Read and think Text card

A fruit seller charges Rs. 90 for 6 kg of oranges.

unit rate setup

Divide the total price by the number of kilograms.

Example: The unit rate is Rs. 15 per kg.

Read and think Text card

A runner covers 400 m in 80 seconds.

rate comparison

Find the amount for 1 second or 10 seconds if it helps.

Example: The runner covers 5 m each second.

Read and think Text card

Strategy: Simplify ratios and calculate per one unit when comparing options.

math habit

This helps in shopping, travel, and data questions.

Example: Unit rates make comparisons fair.

More in this topic

These next steps stay in the same stage so the child does not get sent backward.