NY Next Generation Math NY-6.RP.3.c
The Standard
Find a percent of a quantity as a rate per 100. Solve problems that involve finding the whole given a part and the percent, and finding a part of a whole given the percent.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students treat percent as a rate per 100. They find a part from a whole and percent, or find the whole from a known part and percent.
What Mastery Looks Like
- The student represents 30 percent as 30/100 and solves both part and whole problems. The equation or model clearly identifies the part, whole, and percent.
Common Misconceptions
- Students may use the percent number as a whole-number multiplier. They may divide in the wrong direction when the unknown is the whole.
How to Assess It
- Ask students to find 25 percent of 60, then find the whole when 18 is 30 percent of it. Require a model or equation.
Lesson moves
Ways to Teach It
Shade hundred grids to model a percent of a quantity, then connect the model to an equation.
Ask students how the unknown changes when the part is given instead of the whole.
Play Part Whole Percent Match with three related values on cards.
Find the sale quantity when a stated percent of event tickets has been sold.
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Related Standards
- NY-6.RP.3.b
Solve unit rate problems.
- NY-6.RP.3
Use ratio and rate reasoning to solve real-world and mathematical problems.
- NY-7.RP.3
Use proportional relationships to solve multistep ratio and percent problems.
- NY-3.OA.3
Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities.
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