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Number Talk: Ratios & Equivalent Ratios (6.RP.A.3)

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Number Talk: Ratios & Equivalent Ratios (6.RP.A.3)

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Concept: Ratios compare two quantities; equivalent ratios represent the same relationship.

Goal: Students will use ratio language, recognize equivalent ratios, and explain their reasoning with visuals and discussion.

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Concept: Understanding ratios as a comparison between two quantities and describing these relationships with ratio language.
Goal: Students will:

Explain ratios clearly

Generate equivalent ratios

Use visual aids (tables, diagrams)

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Type: Visual Pattern Number Talk
Students will explore ratios and equivalent ratios using:

Pictures (ex: apples and oranges)

Ratio tables

Diagrams

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✅ Correct Responses:

“The ratio is 4:6.”

“Simplify to 2:3.”

“As a fraction: 4/6 → 2/3.”

⚠️ Misconceptions:

Thinking 4:6 = 4:3 or 6:4

Adding/subtracting instead of multiplying/dividing (5:7 or 3:5)

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Ratio: A comparison of two quantities by division.

Equivalent Ratios: Ratios expressing the same relationship.

Proportion: An equation showing two ratios are equal.

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Class Anchor Chart Will Include:

Ratio definition

Examples (4:6, 2:3)

Ratio tables & diagrams

Sentence starters:

“The ratio of ___ to ___ is ___.”

“___ is equivalent to ___ because ___.”

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Quick Check for Understanding:

1. Write a ratio you notice around you (ex: pencils to notebooks).

2. Find an equivalent ratio for 4:6.

3. Explain why 4:6 is equivalent to 2:3.

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What is a ratio?

Can you give an everyday example of a ratio?

How do we write the ratio of 4 apples to 6 oranges?

What does “equivalent” mean?

Why is 4:6 equivalent to 2:3?

What was challenging about finding ratios?