Equivalent Ratios — Interactive Lesson (Ages 11–14)

Are 1 : 3 and 2 : 6 the same ratio? This 21-slide interactive lesson teaches equivalent ratios using counters and everyday mixtures.

Mastering Equivalent Ratios in Year 7–9 Maths

Students learn that ratio shows the relationship between two or more values, understand the colon as the ratio symbol and find equivalent ratios by multiplying or dividing both parts by the same number. Counters show that for every 2 green counters there is 1 red one, so 2 : 1, 4 : 2 and 8 : 4 are equivalent, with 2 : 1 the simplest form. An orange squash example shows 1 : 6 written as 5 : 30, 20 : 120 or 100 : 600.

What’s Included

• 21-slide interactive lesson on equivalent ratios
• Learning objectives on colon notation and finding equivalent ratios
• Counter and squash-and-water examples
• Select-the-equivalent-ratio and odd-one-out questions
• Explanation questions on why ratios are equivalent, with instant feedback

Key Benefits for Students

• Builds a clear picture of what makes ratios equivalent
• Shows that the same number must multiply or divide both parts
• Introduces simplest form
• Instant feedback on answer questions

Why Teachers Love It

• No prep — ready for whole-class teaching on an interactive whiteboard
• Visual examples make an abstract idea concrete
• Self-marking questions support independent practice
• Suits teaching, revision and homework
• A natural step before dividing in a ratio

Love this? You’ll love…

• Simplifying Ratios — Interactive Lesson (Ages 11–14)
• Divide in a Given Ratio — Interactive Lesson (Ages 11–14)
• Basic Percentage Calculations — Interactive Lesson (Ages 11–14)

A dependable addition to a KS3 ratio and proportion unit, giving students a clear way to check whether ratios match. Fluency with equivalent ratios underpins scaling, sharing in a ratio and proportion.

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FAQ

What year group is this for? KS3 — Years 7–9 (ages 11–14).

Does it cover simplest form? Yes — students find the simplest form of a ratio.

Is it self-marking? Yes, with instant feedback on the questions.