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The purpose of these documents is to provide teachers with examples of learning across all performance levels to help educators determine the depth of a student’s conceptual understanding of the Tennessee mathematics standards. You may access these documents using the drop-down menu below.

CCSS.MATH.CONTENT.6.RP.A.1: Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, "The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak." "For every vote candidate A received, candidate C received nearly three votes."

Let us present another example of a direct proportion. The weight of a liquid is directly proportional to its volume. Suppose that you had a container holding 6 quarts of a liquid, and that liquid weighed 3 pounds. If we poured out half of the liquid so that only 3 quarts remained, that liquid would now weigh 1.5 pounds.

The relationship between two variables is proportional if Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sev...

"This describes a proportional relationship. The ratio is equivalent to the ratio . Each ratio has a Example 9: "This equation represents a proportional relationship because it has a constant rate of...

Word Problems Using Ratios and Rates 6.RP.3 / 6.RP.A.3 - Activities for teaching Ratios & Proportional Relationships, including Ratios & Proportional Relationships worksheets, Ratios & Proportional Relationships practice problems, questions, assessments, quizzes, tests, lesson plans - aligned to Common Core and state standards - Goalbook Pathways

the wages earned in this example are not directly proportional to the hours worked. A direct relationship is much more special than the general statement, "when one increases, the other increases". It's more like, "when one changes by a certain ratio, the other changes by the same ratio". inverse. Moving on. Take a look at this curve.

The relationship can be linear, directly proportional, inversely proportional or non-linear. Linear just means that the two variables give a straight line graph. For example, the distance-time graphs of a stationary object and an object moving with constant velocity are both linear. Directly proportional means that the rate of increase in one

Eureka Math Module 1 - Ratios and Proportional Relationships 7 Lesson 2 - Proportional Relationships Essential Questions: Example 1: Pay by the Ounce Frozen Yogurt A new self-serve frozen yogurt store opened this summer that sells its yogurt at a price based upon the total weight of the yogurt and its toppings in a dish.

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CCSS.Math.Content.7.RP.A.3 - Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. Authors: National Governors Association Center for Best Practices, Council of Chief State School Officers

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Dec 03, 2018 · Example 3 A population of insects in a region will grow at a rate that is proportional to their current population. In the absence of any outside factors the population will triple in two weeks time. In the absence of any outside factors the population will triple in two weeks time.

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For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction (1/2)/(1/4) miles per hour, equivalently 2 miles per hour. 7.RP.A.2 Recognize and represent proportional relationships between quantities.

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Define proportional. proportional synonyms, proportional pronunciation, proportional translation, English dictionary definition of proportional. adj. 1. Forming a relationship with other parts or quantities; being in proportion.

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If you think of the sound energy as radiating outward from the source in a spherical pattern, and you bear in mind that the surface of a sphere is proportional to the square of its radius (the surface area of a sphere is equal to 4πr2), you can understand that the intensity of a sound as measured in a given surface area is inversely proportional to the square of the distance of the point of measurement from the sound source.

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The graph of a proportional relationship will cross through the origin (0,0) Nonproportional: No constant ratio. The graph will not cross the origin. PROPORTIONAL VS. NON-PROPORTIONAL If two quantities are proportional, then they have a constant ratio. If the ratio is not constant, the two quantities are said to be non-proportional. EXAMPLE 1. Andrew earns $18 per hour for mowing lawns.

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Example 1 : The graph shows the relationship between the weight of an object on the Moon and its weight on Earth. Explain why this relationship is proportional and also w rite an equation for the relationship.

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If an angle of a triangle is congruent to the corresponding angle of a second triangle, and the lengths of the two sides including the angle in one triangle are proportional to the lengths of the corresponding two sides in the second triangle, then the two triangles are similar. Example 3

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A proportional relationship (y = kx with k > 0) is often referred to as direct variation; the variable y These cookies are necessary for the operation of TI sites or to fulfill your requests (for example, to...

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