Ratios and Rates in Grade 6: A Guide for Parents

By John Cabardo October 29, 2026 3 min read Math Grade 6

What ratios and unit rates are, how grade 6 classes teach them with tables and tape diagrams, and everyday ways to practice at home.

Groups of coloured counters arranged in a ratio

Ratios are one of the big new ideas in grade 6. They connect multiplication, division and fractions, and they lead directly into percentages, proportions and later algebra. They also show up constantly in real life: recipes, prices, speeds and maps. That makes them one of the easiest topics to practice at home.

What is a ratio?

A ratio compares two quantities. If a bag has 3 red marbles for every 2 blue marbles, the ratio of red to blue is 3 to 2, which can be written 3:2, 3 to 2 or 3/2. Order matters: blue to red is 2:3.

Ratios can compare part to part (red to blue, 3:2) or part to whole (red to all marbles, 3:5). Ask your child which one a question is asking for, because mixing these up is a very common mistake.

Equivalent ratios

If a lemonade recipe uses 2 cups of lemon juice for every 5 cups of water, doubling the recipe gives 4 to 10, and tripling gives 6 to 15. These are equivalent ratios: they taste the same. Just as with equivalent fractions, you multiply or divide both numbers by the same amount.

Ratio tables

Many grade 6 classes use ratio tables to organize this thinking:

Lemon juice (cups)	2	4	6	10
Water (cups)	5	10	15	25

Ask questions like “How much water for 8 cups of lemon juice?” Children can add columns (2 + 6 = 8, so 5 + 15 = 20) or multiply (8 is 4 × 2, so 4 × 5 = 20). Both are correct, and noticing that both work is a sign of real understanding.

Tape diagrams

A tape diagram uses bars split into equal boxes. For “The ratio of boys to girls is 2:3 and there are 30 children. How many are girls?”, draw 2 boxes for boys and 3 for girls. That is 5 boxes for 30 children, so each box is 6. Girls are 3 boxes: 18. Drawing the boxes makes these problems far less abstract than setting up an equation.

Unit rates

A rate compares quantities with different units, such as miles and hours, or pesos and kilograms. A unit rate tells you how much for one: 60 km per hour, or ₱45 per kilogram. To find a unit rate, divide.

A car travels 180 km in 3 hours. Unit rate: 180 ÷ 3 = 60 km per hour.
5 notebooks cost ₱150. Unit rate: 150 ÷ 5 = ₱30 per notebook.

Unit rates make comparison easy. Which is the better deal: 6 eggs for ₱54 or 10 eggs for ₱85? Work out the price per egg: ₱9 versus ₱8.50. The 10-pack is cheaper per egg.

Practice ideas at home

Shopping: compare price per unit on two sizes of the same product. Many stores print the unit price on the shelf label; check your child’s working against it.
Cooking: halve or scale up a recipe. A recipe for 4 people needs adjusting for 6. What do you multiply by?
Travel: if a trip of 120 km takes 2 hours, how long would 300 km take at the same speed?
Maps: use a map scale (1 cm : 5 km) to work out real distances.
Sports: compare players’ scoring rates, such as points per game.

The skills underneath

Ratio work depends heavily on multiplication and division facts. If your child gets the reasoning right but makes arithmetic slips, a little fact practice will pay off quickly. Our multiplication and division worksheet makers can go beyond the basic tables, and the math flashcards work well for a five-minute warm-up.

Above all, ask your child to explain their reasoning. “How did you know it was 20?” tells you far more than the answer alone.