

Unit
1 Ratios
and Unit Rates Grade 6 


Unit
Length and Description: 35
days Students begin their sixth grade year examining
the concepts of ratio and rate. They use ratio language and ratio notation,
and formalize understanding of equivalent ratios. Students solve ratio
problems in real world contexts using various tools, such as tape diagrams,
double number line diagrams, tables, equations and graphs. Students bridge
their understanding of ratios to the value of a ratio, and then to rate and unit
rate, discovering that a percent of a quantity is a rate per 100. The unit
concludes with students expressing a fraction as a percent and finding a
percent of a quantity in real world concepts. 

Standards:


Enduring Understandings: · A ratio expresses the
comparison between two quantities. Special types of ratios are rates, unit
rates, measurement conversions, and percents. · A ratio or a rate expresses
the relationship between two quantities. Ratio and rate language is used to
describe a relationship between two quantities (including unit rates.) · A rate is a type of ratio
that represents a measure, quantity, or frequency, typically one measured
against a different type of measure, quantity, or frequency. · Ratio and rate reasoning can
be applied to many different types of mathematical and reallife problems
(rate and unit rate problems, scaling, unit pricing, statistical analysis,
etc.). 
Essential Questions: · How can you use mathematics
to describe change and model realworld situations? · When is it useful to be able
to relate one quantity to another? · How are ratios and rates
similar and different? ·
What is the connection between a ratio and a fraction? ·
How do you use equivalent rates in the real world? 


