Mathematics | Grade : 6
Domain - Ratios and Proportional Relationships
Cluster - Understand ratio and rate concepts and use ratio and rate reasoning to solve problems.
[6.RP.A.3.d] - Use ratio reasoning to convert measurement units within and between measurement systems; manipulate and transform units appropriately when multiplying or dividing quantities.
For example, Malik is making a recipe, but he cannot find his measuring cups! He has, however, found a tablespoon. His cookbook says that 1 cup = 16 tablespoons. Explain how he could use the tablespoon to measure out the following ingredients: two cups of flour, ½ cup sunflower seed, and 1¼ cup of oatmeal. Example is from the Illustrative Mathematics Project: https://www.illustrativemathematics.org/content-standards/tasks/2174
- Ratio
A relationship between quantities such that for every a units of one quantity there are b units of the other. A ratio is often denoted by a:b and read “a to b”.
[6.RP.A.2] -
Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship, including the use of units.
For example: This recipe has a ratio of three cups of flour to four cups of sugar, so there is ¾ cup of flour for each cup of sugar; We paid $75 for 15 hamburgers, which is a rate of five dollars per hamburger.
Expectations for unit rates in this grade are limited to non-complex fractions.
[6.ESS.1.4] -
Analyze and interpret rock layers and index fossils to determine the relative ages of rock formations that result from processes occurring over long periods of time. Clarification Statements: Analysis includes laws of superposition and crosscutting relationships limited to minor displacement faults that offset layers. Processes that occur over long periods of time include changes in rock types through weathering, erosion, heat, and pressure. State Assessment Boundary: Strata sequences that have been reordered or overturned, names of specific periods or epochs and events within them, or the identification and naming of minerals or rock types are not expected in state assessment.
[6.ESS.1.5] -
Use graphical displays to illustrate that Earth and its solar system are one of many in the Milky Way galaxy, which is one of billions of galaxies in the universe. Clarification Statement: Graphical displays can include maps, charts, graphs, and data tables.
[6.ETS.1.5] -
Create visual representations of solutions to a design problem. Accurately interpret and apply scale and proportion to visual representations.*
Clarification Statements: Examples of visual representations can include sketches, scaled drawings, and orthographic projections. Examples of scale can include ¼" = 1'0" and 1 cm = 1 m.