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Using the Ratio: What is it?
The use of a ratio table can be used for both multiplication and division.
Using the Ratio Using the Ratio FINAL.mp4Overview
Ratio tables are a way for students to model their thinking. The structure of a ratio table allows students to find and use multiplicative relationships and equivalent ratios to solve problems in various ways.
Supporting Students Using the Ratio
Ratio tables promote mental math strategies in a way that resonates intuitively with students, given the structure of the ratio table itself. Some students develop comfort and sophistication with doubling and halving strategies. Some students rely heavily on multiplication by 10’s. Some students prefer additive strategies rather than multiplicative ones. The ratio table fosters mental math strategies through a structure that supports the child’s development of mathematical understanding.
For example, students can solve 18x5 by using a ratio table.
1x5=5.
2x5=10 - double to get 4x5=20
5x5=25 - double to get 10x5=50
Combine (1x5 + 2x5 + 5x5 + 10x5 = 18x5)
OR Combine (4x5 + 4x5 + 10x5 = 18x5)
Where to Next?
Once students are comfortable with using ratio tables, encourage them to explore doubling and halving, partial product and/or partial quotient strategies.
Building Fact Fluency
Building Fact Fluency
Multiplication is the inverse operation and can be used to support division. Ensuring students are confident and have solid understanding of familiar facts, particularly x2, x5, and x10 will be beneficial for divisional thinking. Building arrays with square tiles will help students connect to the visual representation of an open array.
Looking to learn more? Check out this website for more information!
Math is Figureoutable
Math is Figureoutable
For more information on using ratio tables and presenting strategic number strings, check out Pam Harris' website.
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