Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

6.RP.A.3.aMake tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.6.RP.A.3.bSolve unit rate problems including those involving unit pricing and constant speed.6.RP.A.3.cFind a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.6.RP.A.3.dUse ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
Khan Academy Resources
Converting percents and fractions reviewRate reviewConverting between percents, fractions, & decimalsRatio tablesConverting decimals and percents reviewEquivalent ratio word problemsRate problemsConvert decimals to percentsConvert percents to decimalsPercent word problemsEquivalent ratiosComparing ratesRatio tablesCreate double number linesIntro to percentsRatios with tape diagramsEquivalent representations of percent problemsPart-part-whole ratiosRelate double number lines and ratio tablesEquivalent ratios with equal groupsRatios on coordinate planeRelate fractions, decimals, and percentsRatios and units of measurementBenchmark percentsPercents from fraction modelsConvert percents to fractionsUnderstand equivalent ratios in the real worldEquivalent ratios in the real worldFinding percentsRatios with double number linesSolving percent problemsPercent word problem: 100 is what percent of 80?Proportion word problem: cookiesPercent word problem: 78 is 15% of what number?The meaning of percentMeaning of 109%Converting percents to decimals & fractions exampleConverting decimals to percents: 1.501Converting decimals to percents: 0.601Equivalent ratio word problemsEquivalent ratios: recipeRatios with tape diagramsPercent word problem: recycling cansFinding common percentagesSimplify a ratio from a tape diagramRatios and measurementRatios with tape diagrams (part:whole)Proportion word problem: hot dogsRatios and double number linesFraction, decimal, and percent from visual modelFinding the whole with a tape diagramFinding a percentConverting percents to decimals: 113.9%Understanding equivalent ratiosRatios on coordinate planeRate problemsEquivalent ratiosPercents from fraction modelsPercent of a whole numberComparing rates exampleSolving ratio problems with tablesPercent word problem: penguinsFinding percentages with a double number linePart to whole ratio word problem using tablesConverting percents to decimals: 59.2%Interpreting unequal ratios
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