Tutoring on Similarity

Learning Objectives:

Understand and apply Ratios, Rates and Unit Rates.

Math Tutoring on Similarity


A Ratio is a comparison of two quantities in the form of a quotient.

The ratio of ‘A and ‘B can be written 3 ways:


A Rate is a ratio that compares two quantities with different units.As a result the units must always be included.

Unit rate:

A Unit Rate is a rate when the denominator is 1.Unit rates are used in real life in business, sports, budgeting, science and more.


A Proportion states that two ratios or rates are equal. Ifare two equal ratios, then is Proportion.

Unit scale:

Unit Scale is a ratio that compares the dimensions of a scaled object to the actual dimensions of an object.

Scale Factor:

Scale Factor is similar to a unit scale except no units are given. Scale Factor is a ratio comparing the scaled measurement to the actual measurement.

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Hook questions:

1.   What are the Ratio, Rate and Unit Rate? Give some real life examples of Unit Rate.

2.   What are the Unit Scale and Scale Factor?


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