Write the comparison in order
A ratio compares one quantity with another. If there are 3 blue counters and 2 red counters, the ratio of blue to red is 3:2. The order matters: red to blue would be 2:3.
Intro to Ratio
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Intro to Ratio
Story
The Potion Pantry
Rows of coloured bottles line the shelves, each recipe needing ingredients in exactly the right balance.
A potion recipe only works when the ingredients stay in the same ratio. Count, compare, and simplify to keep the mixture stable.
Ratios are comparisons. Once the comparison is clear, the numbers start behaving beautifully.
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Core Concept
Ratios compare quantities
Match the ratio to the words
Always read the wording carefully. ‘Apples to oranges’ means apples first, oranges second. In a recipe, ‘water to juice’ means the water amount comes before the juice amount. A correct ratio can become wrong if the order is reversed.
Simplify by dividing both parts
A ratio can be simplified when both parts share a common factor. 6:9 can be divided by 3 on both sides, giving 2:3. The comparison stays the same, just written more neatly.
Equivalent ratios keep the same balance
Ratios such as 2:3, 4:6, and 10:15 can describe the same balance because both parts have been multiplied by the same number. In the Potion Pantry, that means a bigger batch can still taste the same if the ingredient relationship is preserved.
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Guided Practice
Write and simplify ratios
Work through each question carefully. Take your time.
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Independent Practice
Ratio flashcards
Now it's your turn. Apply what you've learned on your own.
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Recap
Ratio recap
A ratio compares quantities in order. To simplify, divide each part by the same common factor. Equivalent ratios keep the same balance even when the numbers are larger.
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