Students are introduced to the concept of ratios, learning ratio language to describe the association between two or more quantities and different strategies to solve ratio problems.
In unit 1, sixth-grade students have the opportunity to study a concept that is brand new to them: ratios. They learn how to use ratio language to describe the association between two or more quantities, expanding their abilities to analyze relationships and see multiplicative patterns. Students learn many ways to represent ratios, starting with discrete drawings and working their way to abstract tables. These representations become important tools in their ratios toolkit, enabling students to be strategic about which tools to use for different problems (MP.5). When students work with tables and double number lines, they discover how structure can shine light on a relationship, especially when comparing multiple ratio situations (MP.7).
Throughout the unit, students see similar problems posed to them in different lessons. This is to support students learning new strategies to solve ratio problems and to compare and contrast different approaches. By the end of the unit, students should be able to select a strategy they think is best for a problem and to explain their choice.
In fourth and fifth grade, students learned the difference between multiplicative and additive comparisons and they interpreted multiplication as a way to scale. Students will access these prior concepts in this unit as they investigate patterns and structures in ratio tables and use multiplication to create equivalent ratios.
The work students do in this unit connects directly to Unit 2: Rates & Percent and re-appears in Unit 6: Equations and Inequalities when students analyze and graph relationships between independent and dependent variables. Beyond sixth grade, students extend their understanding of ratios and rates to investigate proportional relationships in seventh grade. This sets the groundwork for the study of functions, linear equations, and systems of equations, which students will study in eighth grade and high school.
This unit includes the MA-specific standard 6.RP.3e, which refers to a specific type of ratio problem about an object’s mass and volume. While this context is specific to this MA standard, it poses a real-world example of ratio problems that is worthwhile to solve.
Pacing: 21 instructional days (18 lessons, 2 flex days, 1 assessment day).
For guidance on adjusting the pacing for the 2021-2022 school year, see our 6th Grade Scope and Sequence Recommended Adjustments.
This assessment accompanies Unit 1 and should be given on the suggested assessment day or after completing the unit.
|Discrete drawing||The ratio of teaspoons of cinnamon to cups of raisins is 4:8.
|Double number line||For every 2 cups of milk, there are 3 cups of flour.
|Ratio table||A turtle travels 3 feet every 9 seconds.
|Tape diagram||The ratio of girls to boys in a 6th grade class is 4 to 5.
double number line
part to part ratio
part to whole ratio
To see all the vocabulary for this course, view our 6th Grade Vocabulary Glossary.
To see more information about the materials in this unit, view the Unit Materials Overview.
Define ratio and use ratio language to describe associations between two or more quantities.
Key: Major Cluster Supporting Cluster Additional Cluster