Understanding that when one quantity changes, another changes in the same proportion. Recognising 'for every X, there are Y' relationships.
Where your child meets this in real life: Recipe scaling, understanding that 'double the ingredients = double the output', unit pricing
SEAGReady breaks understand proportional relationships into 2 steps, taught in order so each skill builds on the last.
Build proportional tables when the unit rate is given (e.g., 1 car = 4 wheels, so 2 cars = ? wheels)
Find the unit rate when given a non-unit proportional relationship (e.g., 3 bags = 12 apples → 1 bag = 4 apples)
Three free sample questions from our understand proportional relationships course. Every question comes with a full explanation, and hints that guide without giving the answer away.
Aoife is setting tables for a party. Each table needs 4 chairs. If there are 5 tables, how many chairs are needed in total?
Answer: A. 20 chairs
Each table needs 4 chairs. We have 5 tables. Multiply to find the total: 4 x 5 = 20 chairs
Stuck? Start here: How many chairs does ONE table need?
Niamh bought 3 packets of stickers at a school fair. The packets contain 18 stickers altogether. How many stickers are in 1 packet?
Answer: B. 6 stickers
3 packets contain 18 stickers altogether. To find stickers in 1 packet, divide: 18 ÷ 3 = 6 stickers per packet
Stuck? Start here: You know the total for 3 packets. You need to find what 1 packet contains.
A spider has 8 legs. How many legs do 3 spiders have altogether?
Answer: B. 24 legs
1 spider has 8 legs. 3 spiders have: 8 x 3 = 24 legs
Stuck? Start here: How many legs does ONE spider have?
This is the exact interactive worked example your child sees in SEAGReady. Step through it and watch the method build up.
Siobhan is setting tables for a school dinner. Each table needs 4 chairs.
If there are 3 tables, how many chairs are needed in total?
1 table = 4 chairs, 3 tables = ?
Step 1 of 3
Siobhan is setting tables for a school dinner. Each table needs 4 chairs.
If there are 3 tables, how many chairs are needed in total?
Siobhan needs 12 chairs for 3 tables.
The key insight: When you know the rate for 1, just multiply to find any amount!
Watch out: 3 tables need 4 + 3 = 7 chairs. Don't add - multiply! Each table needs 4 chairs, so 3 tables need 4 × 3.
These are the misconceptions we see most often in understand proportional relationships, including the ones our practice questions are specifically designed to catch.
Struggling with understand proportional relationships? The real gap is often in one of these earlier topics.
SEAGReady finds the exact step where your child gets stuck, teaches it with worked examples like the one above, and brings it back for review so it sticks.